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Third Grade

VIEWS: 12 PAGES: 55

									                                                                                                                             Math Standards Crosswalk
                                                                                                                                    High School



                                                                                                                              Referent:
                                                                         Grade Level Expectations
Standard                                          Grade                                                              CSAP Assessment Framework               District Curriculum Notes   Implications
                                                                            Evidence Outcomes
                                                                                                                             Objectives


                                                                     The complex number system includes
 Number Sense, Properties,




                                                                 1
                                                                     real numbers and imaginary numbers
     and Operations




                                                                     Show that between any two rational
                                                   High School




                                                                     numbers there are an infinite number of
                                                                 a   rational numbers, and that between any      10th 1.2a; Specifies the density property
                                                                     two irrational numbers there are also an
                                                                     infinite number of irrational numbers


                                                                     Express the square root of a negative
                                                                 b
                                                                     number using imaginary numbers

                                                                     Formulate, represent, and use
       Number Sense, Properties, and Operations




                                                                 2   algorithms with real numbers
                                                                     flexibly, accurately, and efficiently

                                                                     Use appropriate computation methods
                                                                 a   that encompass estimation and               9th 1.3a, 6.2a; 10th 1.3a; 6.2a; 6.3a
                                                                     calculation
                                                                     Use technology to perform operations
                                                   High School




                                                                                                                 9th 1.1b, 1.1c; 10th 1.1b, 1.1c; Now
                                                                     (addition, subtraction, multiplication, and
                                                                 b                                               includes explicit use of technology and
                                                                     division) on numbers written in scientific
                                                                                                                 operations of addition and subtraction
                                                                     notation
                                                                     Describe factors affecting take-home pay
                                                                 c
                                                                     and calculate the impact (PFL)
                                                                     Design and use a budget, including
                                                                     income (net take-home pay) and
                                                                     expenses (mortgage, car loans, and living
                                                                 d
                                                                     expenses) to demonstrate how living
                                                                     within your means is essential for a
                                                                     secure financial future (PFL)




                                                                                                                                      Page 1 of 55
                                                                                          Math Standards Crosswalk
                                                                                                 High School



                                                                                            Referent:
                                         Grade Level Expectations
Standard          Grade                                                            CSAP Assessment Framework         District Curriculum Notes   Implications
                                            Evidence Outcomes
                                                                                           Objectives
Properties, and
Number Sense,




                                     Systematic counting techniques are
                                 3
                   High School
  Operations




                                     used to describe and solve problems

                                     Use combinatorics (Fundamental
                                     Counting Principle, permutations and
                                 a                                             9th 3.6a; 10th 3.6a
                                     combinations) to solve problems in real
                                     world contexts




                                                                                                     Page 2 of 55
                                                                                                                              Math Standards Crosswalk
                                                                                                                                     High School



                                                                                                                               Referent:
                                                                         Grade Level Expectations
Standard                                          Grade                                                               CSAP Assessment Framework                District Curriculum Notes   Implications
                                                                            Evidence Outcomes
                                                                                                                              Objectives


                                                                     Functions model situations where
                                                                     one quantity determines another and
                                                                 1
                                                                     can be represented algebraically,
                                                                     graphically, and using tables
  Patterns, Functions, and Algebraic Structures




                                                                     Determine* when a relation is a function     10th 2.4d; Specifies determination using
                                                                 a
                                                                     using a table, a graph or an equation        table, graph, or equation.

                                                                     Demonstrate the relationship between all
                                                                     representations of linear functions using
                                                                 b
                                                                     point-slope, slope-intercept, and standard
                                                                     form of a line
                                                   High School




                                                                     Represent* linear, quadratic, absolute
                                                                     value, power, exponential, logarithmic,
                                                                     rational, trigonometric (sine and cosine),   9th 2.2a, 2.2b; 10th 2.2a, 2.2b; Specifies
                                                                 c
                                                                     and step functions in a table, graph and     functions to be represented
                                                                     equation and convert from one
                                                                     representation to another
                                                                     Determine the inverse (expressed
                                                                 d   graphically or in tabular form) of a
                                                                     function from a graph or table

                                                                     Categorize sequences as arithmetic,
                                                                     geometric, or neither and develop
                                                                 e                                                9th 2.1a; 10th 2.1a
                                                                     formulas for the general terms related to
                                                                     arithmetic and geometric sequences
                                                                     *Using all tools including graphing
                                                                     technology




                                                                                                                                        Page 3 of 55
                                                                                                                                    Math Standards Crosswalk
                                                                                                                                           High School



                                                                                                                                    Referent:
                                                                             Grade Level Expectations
Standard                                              Grade                                                                CSAP Assessment Framework                 District Curriculum Notes   Implications
                                                                                Evidence Outcomes
                                                                                                                                   Objectives

                                                                         Graphs and tables are used to
                                                                     2   describe the qualitative behavior of
      Patterns, Functions, and Algebraic Structures




                                                                         common types of functions
                                                                         Evaluate* a function at a given point in
                                                                     a   its domain given an equation (including
                                                                         function notation), a table, and a graph

                                                                         Identify* the domain and range of a
                                                                     b   function given an equation (including
                                                       High School




                                                                         function notation), a table, and a graph

                                                                         Identify* intercepts, zeros (or roots),
                                                                         maxima, minima, and intervals of         9th 2.4a; 2.4b; 10th 2.4a, 2.4b; Now
                                                                     c   increase and decrease, and asymptotes of includes intervals of increase and
                                                                         a function given an equation (including  decrease and asymptotes
                                                                         function notation), a table, and a graph

                                                                         Make qualitative statements about the      9th 5.1b; 10th 5.1b, 5.1c; Now
                                                                     d   rate of change of a function, based on its emphasizes making qualitative
                                                                         graph or table                             statements
                                                                         *Using all tools including graphing
                                                                         technology
                                                                         Parameters influence the shape of
Patterns, Functions,




                                                                     3
                                                                         the graphs of functions
   and Algebraic




                                                       High School
     Structures




                                                                         Apply* transformations (translation,
                                                                                                                       9th 2.4c; 10th 2.4c; Apply translations,
                                                                     a   reflection, dilation) to a parent function,
                                                                                                                       reflections, and dilations to all functions
                                                                         f(x)

                                                                         Interpret the results of these
                                                                     b   transformations verbally, graphically, and 9th 2.4c; 10th 2.4c
                                                                         symbolically




                                                                                                                                             Page 4 of 55
                                                                                                                Math Standards Crosswalk
                                                                                                                       High School



                                                                                                                 Referent:
                                                             Grade Level Expectations
Standard                              Grade                                                             CSAP Assessment Framework              District Curriculum Notes   Implications
                                                                Evidence Outcomes
                                                                                                                Objectives

                                                         Expessions , equations, and
                                                     4   inequalities can be expressed in
                                                         multiple, equivalent forms
 Patterns, Functions, and
   Algebraic Structures




                                                         Perform and justify steps in generating
                                                         equivalent expressions by identifying
                                       High School




                                                     a   properties used including the
                                                         commutative, associative, inverse,
                                                         identity, and distributive properties

                                                         Apply the properties of positive and
                                                                                                    9th 1.2a; 10th 2.1b; Now includes
                                                         negative rational exponents to generate
                                                     b                                              positive and negative rational exponents
                                                         equivalent algebraic expressions including
                                                                                                    and nth roots
                                                         those involving nth roots
                                                         Solve equations for one variable in terms
                                                     c                                             9th 2.3c; 10th 2.3c
                                                         of the others
                                                         Solutions to equations, inequalities
                                                     5   and systems of equations are found
 Patterns, Functions, and Algebraic




                                                         using a variety of tools

                                                         Find* solutions to quadratic and cubic
                                                         equations and inequalities by using
                                                                                                    9th 2.3a, 2.5a; 10th 2.3a, 2.5a; Now
                                                     a   appropriate algebraic methods such as
                                       High School
             Structures




                                                                                                    includes cubic equations
                                                         factoring, completing the square,
                                                         graphing or using the quadratic formula
                                                         Find* solutions to equations involving
                                                     b   power, exponential, rational and radical
                                                         functions

                                                         Solve* systems of linear equations and     9th 2.3b, 2.5a; 10th 2.3b, 2.5a; Now
                                                     c
                                                         inequalities with two variables            includes systems of linear inequalities

                                                         *Using all tools including graphing
                                                         technology




                                                                                                                         Page 5 of 55
                                                                                                                                   Math Standards Crosswalk
                                                                                                                                          High School



                                                                                                                                     Referent:
                                                                               Grade Level Expectations
Standard                                                Grade                                                               CSAP Assessment Framework         District Curriculum Notes   Implications
                                                                                  Evidence Outcomes
                                                                                                                                    Objectives

                                                                           Quantitative relationships in the real-
        Patterns, Functions, and Algebraic Structures




                                                                       6   world can be modeled and solved
                                                                           using functions
                                                                           Represent, solve*, and interpret problems
                                                                                                                     9th 2.1a, 2.3a; 10th 2.1a, 2.3a; Now
                                                                       a   in various contexts using linear,
                                                                                                                     includes solving exponential functions
                                                                           quadratic, and exponential functions

                                                                           Represent, solve*, and interpret problems
                                                         High School




                                                                                                                     9th 6.1c; 10th 6.1c; Now includes
                                                                           involving direct and inverse variations
                                                                       b                                             inverse and combination of direct and
                                                                           and a combination of direct and inverse
                                                                                                                     inverse variation
                                                                           variation
                                                                           Analyze* the impact of interest rates on a
                                                                       c
                                                                           personal financial plan (PFL)
                                                                           Evaluate* the costs and benefits of credit
                                                                       d
                                                                           (PFL)
                                                                           Analyze various lending sources, services
                                                                       e
                                                                           and financial institutions (PFL)
                                                                           *Using all tools including graphing
                                                                           technology
                                                                           Statistical methods take variability
 Data Analysis, Statistics, and




                                                                           into account, supporting informed
                                                                           decision-making through quantitative
                                                                           studies designed to answer specific
                                                                           questions
                                                         High School




                                                                       1
         Probability




                                                                           Formulate appropriate research questions
                                                                           that can answered with statistical       9th 3.1b
                                                                       a   analysis
                                                                           Determine appropriate data collection
                                                                       b   methods to answer a research question

                                                                           Explain how data might be analyzed to
                                                                       c   provide answers to a research question       9th 3.1b; 10th 3.1b




                                                                                                                                              Page 6 of 55
                                                                                                    Math Standards Crosswalk
                                                                                                           High School



                                                                                                      Referent:
                                                     Grade Level Expectations
Standard                      Grade                                                          CSAP Assessment Framework         District Curriculum Notes   Implications
                                                        Evidence Outcomes
                                                                                                     Objectives

                                                 The design of an experiment or
 Data Analysis, Statistics,




                                                 sample survey is of critical
                                                 importance to analyzing the data and
     and Probability




                                             2   drawing conclusions
                               High School



                                                 Identify the characteristics of a well-
                                             a   designed and well-conducted survey      9th 3.1a; 10th 3.1a, 3.2d
                                                 Identify the characteristics of a well-
                                             b   designed and well-conducted experiment
                                                 Differentiate between the inferences that
                                                 can be drawn in experiments versus
                                             c   observational studies




                                                                                                             Page 7 of 55
                                                                                                                          Math Standards Crosswalk
                                                                                                                                 High School



                                                                                                                           Referent:
                                                                      Grade Level Expectations
Standard                                       Grade                                                              CSAP Assessment Framework             District Curriculum Notes   Implications
                                                                         Evidence Outcomes
                                                                                                                          Objectives


                                                                  Visual displays and summary
                                                                  statistics condense the information in
                                                                  data sets into usable knowledge
                                                              3
  Data Analysis, Statistics, and Probability




                                                                  Identify and choose appropriate ways to
                                                                  summarize numerical or categorical data
                                                                  using tables, graphical displays, and
                                                                  numerical summary statistics (describing
                                                                  shape, center and spread) and accounting
                                                                                                              9th 3.1c; 3.4a 10th 3.1c; 3.4a, 3.4b,
                                                                  for outliers, when appropriate
                                                              a                                               3.4c; 3.4d
                                                High School




                                                                  Define and explain how sampling
                                                                  distributions (developed through
                                                                  simulation) are used to describe the
                                                                  sample-to-sample variability of sample
                                                              b   statistics
                                                                  Describe the relationship between two
                                                              c   categorical variables using percents
                                                                  When the relationship between two
                                                                  numerical variables is reasonably linear,
                                                                  apply* the least-squares criterion for line
                                                                  fitting, use Pearson’s correlation
                                                                                                              9th 3.3a, 3.3b; 10th 3.3a, 3.3b; Now
                                                                  coefficient as a measure of strength, and
                                                                                                              requires use of least-squares criterion
                                                                  interpret the slope and y-intercept in the
                                                              d                                               and Pearson's correlation coefficient
                                                                  context of the problem
                                                                  *Using all tools including graphing
                                                                  technology




                                                                                                                                   Page 8 of 55
                                                                                                  Math Standards Crosswalk
                                                                                                         High School



                                                                                                     Referent:
                                                     Grade Level Expectations
Standard                      Grade                                                         CSAP Assessment Framework        District Curriculum Notes   Implications
                                                        Evidence Outcomes
                                                                                                    Objectives

                                                 Randomness is the foundation for
                                                 using statistics to draw conclusions
 Data Analysis, Statistics,




                                                 when testing a claim or estimating
                                                 plausible values for a population
     and Probability




                                             4
                               High School



                                                 characteristic
                                                 Define and explain the meaning of
                                                 significance (both practical and
                                             a   statistical)
                                                 Explain the role of p-values in
                                             b   determining statistical significance
                                                 Determine the margin of error associated
                                                 with an estimate of a population
                                             c   characteristic




                                                                                                         Page 9 of 55
                                                                                                                         Math Standards Crosswalk
                                                                                                                                High School



                                                                                                                          Referent:
                                                                      Grade Level Expectations
Standard                                       Grade                                                             CSAP Assessment Framework            District Curriculum Notes   Implications
                                                                         Evidence Outcomes
                                                                                                                         Objectives

                                                                  Probability models outcomes for
                                                                  situations in which there is inherent
                                                                  randomness, quantifying the degree
                                                                  of certainty in terms of relative
  Data Analysis, Statistics, and Probability




                                                              5   frequency of occurrence
                                                                  Develop* simulations that demonstrate
                                                                  probability as a long-run relative       10th 3.5b; Now requires developing
                                                              a   frequency                                simulations
                                                                  Apply and solve problems using the
                                                                  concepts of independence and conditional
                                                              b                                            10th 3.5c
                                                High School




                                                                  probability
                                                                  Apply and solve problems using the
                                                                  concept of mutually exclusive properties
                                                                                                             10th 3.5d; Now specifies mutually
                                                                  when combining probabilities
                                                              c                                              exclusive properties
                                                                  Evaluate* and interpret probabilities      10th 3.4c; Now connects probability to
                                                              d   using a normal distribution                normal curve
                                                                  Find* and interpret the expected value
                                                                  and standard deviation of a discrete       9th 3.4b; 10th 3.4c; Now specifies
                                                              e   random variable X                          finding the standard deviation
                                                                  Analyze* the cost of insurance as a
                                                                  method to offset the risk of a situation
                                                              f   (PFL)
                                                                  *Using all tools including graphing
                                                                  technology




                                                                                                                                 Page 10 of 55
                                                                                                             Math Standards Crosswalk
                                                                                                                    High School



                                                                                                               Referent:
                                                          Grade Level Expectations
Standard                           Grade                                                              CSAP Assessment Framework         District Curriculum Notes   Implications
                                                             Evidence Outcomes
                                                                                                              Objectives

                                                      Attributes of two- and three-
                                                  1   dimensional objects are measurable
 Shape, Dimension, and Geometric




                                                      and can be quanitified
                                                      Calculate (or estimate when appropriate)
                                                  a   the perimeter and area of a two-         9th 4.2a; 10th 4.2b
                                                      dimensional irregular shape
                                                      Justify, interpret, and apply the use of
          Relationships




                                    High School




                                                                                                9th 4.2a; 10th 4.2c; Now specifies
                                                      formulas for the surface area, and volume
                                                  b                                             cones, pyramids and spheres including
                                                      of cones, pyramids, and spheres including
                                                                                                real-world situations
                                                      real-world situations
                                                      Solve for unknown quantities in
                                                  c   relationships involving perimeter, area,    9th 2.5b; 10th 2.5b
                                                      surface area, and volume
                                                       Apply the effect of dimensional change,
                                                      utilizing appropriate units and scales in
                                                  d                                               9th 5.1c; 10th 5.1d
                                                      problem solving situations involving
                                                      perimeter, area, and volume




                                                                                                                        Page 11 of 55
                                                                                                                            Math Standards Crosswalk
                                                                                                                                   High School



                                                                                                                             Referent:
                                                                         Grade Level Expectations
Standard                                          Grade                                                             CSAP Assessment Framework             District Curriculum Notes   Implications
                                                                            Evidence Outcomes
                                                                                                                            Objectives


                                                                     Objects in the plane and their parts,
                                                                 2   attributes, and measurements can be
  Shape, Dimension, and Geometric Relationships




                                                                     analyzed deductively
                                                                     Classify polygons according to their
                                                                 a
                                                                     similarities and/or differences
                                                                     Solve for unknown attributes of geometric
                                                                 b   shapes based on their congruence,         9th 5.1a; 10th 4.1a, 4.1b, 5.1a
                                                                     similarity, or symmetry
                                                                     Know and apply properties of angles
                                                   High School




                                                                     including corresponding, exterior,
                                                                     interior, vertical, complementary, and
                                                                                                               9th 4.3a; 10th 4.3a; Now focus on
                                                                 c   supplementary angles to solve problems.
                                                                                                               justification
                                                                     Justify the results using two-column
                                                                     proofs, paragraph proofs, flow charts,
                                                                     and/or illustrations

                                                                     Develop conjectures and solve problems
                                                                     about geometric figures including
                                                                     definitions and properties (congruence,
                                                                                                                9th 4.3a; 10th 4.3a, 4.3b; Now focus is
                                                                 d   similarity, and symmetry). Justify these
                                                                                                                on justification
                                                                     conjectures using two-column proofs,
                                                                     paragraph proofs, flow charts, and/or
                                                                     illustrations




                                                                                                                                    Page 12 of 55
                                                                                                                               Math Standards Crosswalk
                                                                                                                                      High School



                                                                                                                               Referent:
                                                                         Grade Level Expectations
Standard                                          Grade                                                               CSAP Assessment Framework                 District Curriculum Notes   Implications
                                                                            Evidence Outcomes
                                                                                                                              Objectives

                                                                     Objects in the plane can be
                                                                     transformed and those
                                                                 3
                                                                     transformations can be described and
  Shape, Dimension, and Geometric Relationships




                                                                     analyzed mathematically
                                                                     Make conjectures involving two-
                                                                     dimensional objects represented with
                                                                     Cartesian coordinates. Justify these         9th 4.3b; 10th 4.1c; Now focus on
                                                                 a
                                                                     conjectures using two-column proofs,         justification
                                                                     paragraph proofs, flow charts, and/or
                                                                     illustrations
                                                                     Represent transformations (reflection,
                                                                 b   translation, rotation, and dilation) using   9th 4.1a; 10th 4.1b, 4.1c
                                                   High School




                                                                     Cartesian coordinates
                                                                     Develop arguments to establish what
                                                                     remains invariant and what changes after
                                                                     a transformation (reflection, translation,
                                                                 c   rotation, and dilations). Justify these
                                                                     conjectures using two-column proofs,
                                                                     paragraph proofs, flow charts, and/or
                                                                     illustrations
                                                                     Using construction tools, including
                                                                     technology, make conjectures about
                                                                     relationships among properties of shapes
                                                                     in the plane including those formed          9th 4.3a; 10th 4.3a, 4.3b; Now specifies
                                                                 d
                                                                     through transformation. Justify these        use of construction tools and justification
                                                                     conjectures using two-column proofs,
                                                                     paragraph proofs, flow charts, and/or
                                                                     illustrations




                                                                                                                                        Page 13 of 55
                                                                                                     Math Standards Crosswalk
                                                                                                            High School



                                                                                                      Referent:
                                                  Grade Level Expectations
Standard                   Grade                                                             CSAP Assessment Framework          District Curriculum Notes   Implications
                                                     Evidence Outcomes
                                                                                                     Objectives

                                              Right triangles are central to
                                          4
                                              geometry and its applications
 Geometric Relationships
 Shape, Dimension, and




                                              Apply right triangle trigonometry (sine,
                                          a   cosine, and tangent) to find indirect      10th 4.4a
                            High School




                                              measures of lengths and angles

                                              Apply the Pythagorean theorem and its
                                          b                                              9th 4.2b; 10th 4.2a
                                              converse to solve real world problems

                                              Determine the midpoint of a line segment
                                                                                       10th 2.5c; Now specifies midpoint and
                                          c   and the distance between two points in
                                                                                       distance between two points
                                              the Cartesian coordinate plane




                                                                                                               Page 14 of 55
                                                                                                            Math Standards Crosswalk
                                                                                                                  Eighth Grade



                                                                                                               Referent:
                                                         Grade Level Expectations
Standard                         Grade                                                                CSAP Assessment Framework             District Curriculum Notes   Implications
                                                            Evidence Outcomes
                                                                                                              Objectives

                                                     In the real number system, rational
                                                     and irrational numbers are in one to
 Number Sense, Properties, and




                                                 1
                                                     one correspondence to points on the
                                                     number line

                                                     Compare and order sets of integers and
                                                                                               1.2a Specifies fractions, decimals, or
                                  Eighth Grade




                                                 a   rational numbers that are expressed as
         Operations




                                                                                               percents rather than variety of methods
                                                     fractions, decimals, or percents

                                                     Given a whole number from 0 - 100,
                                                     determine whether it is a perfect square
                                                 b   or find the two consecutive whole        1.1a Focus is on square roots
                                                     numbers between which its square root
                                                     lies
                                                     Approximate the location of square roots
                                                 c   between two whole numbers on a number 1.1a focus is on square roots
                                                     line
 Number Sense, Properties, and




                                                     Formulate, represent, and use
                                                 2   algorithms with rational numbers
                                                     flexibly, accurately, and efficiently
                                  Eighth Grade
         Operations




                                                     Add, subtract, multiply and divide rational
                                                                                                 6.4a Now includes negative fractions and
                                                 a   numbers including integers, positive and
                                                                                                 decimals
                                                     negative fractions and decimals

                                                     Apply computational methods to solve
                                                 b   multi-step application problems involving 6.4a
                                                     percents and rational numbers
                                                     Analyze how credit and debt impact
                                                 c
                                                     personal financial goals (PFL)




                                                                                                                    Page 15 of 55
                                                                                                                              Math Standards Crosswalk
                                                                                                                                    Eighth Grade



                                                                                                                              Referent:
                                                                          Grade Level Expectations
Standard                                          Grade                                                              CSAP Assessment Framework              District Curriculum Notes   Implications
                                                                             Evidence Outcomes
                                                                                                                             Objectives

                                                                      Linear functions model situations
                                                                      with a constant rate of change and
  Patterns, Functions, and Algebraic Structures




                                                                  1
                                                                      can be represented algebraically,
                                                                      graphically, and using tables
                                                                      Convert from one representation of a
                                                                      linear function to another, including      2.1a, 2.1b; Specific to linear functions
                                                                  a
                                                                      situations, tables, equations (slope-      and includes slope-intercept form
                                                                      intercept form), and graphs
                                                                      Use representations of linear functions to 2.1a, 2.5a; Now specifies situations
                                                   Eighth Grade




                                                                  b
                                                                      analyze situations and solve problems      instead of patterns

                                                                      Identify the dependent and independent     2.3a; Specific to dependent and
                                                                  c
                                                                      variable in real world situations          independent variables
                                                                      Identify and interpret the slope(rate of
                                                                      change) and y-intercept in graphs, in
                                                                  d
                                                                      tables, and from equations in slope-
                                                                      intercept form
                                                                      Model and graph two linear equations in
                                                                      slope-intercept form on the same
                                                                  e   coordinate plane and interpret the point
                                                                      of intersection as the solution to the
                                                                      system of equations




                                                                                                                                      Page 16 of 55
                                                                                                                     Math Standards Crosswalk
                                                                                                                           Eighth Grade



                                                                                                                      Referent:
                                                                Grade Level Expectations
Standard                                Grade                                                                CSAP Assessment Framework             District Curriculum Notes   Implications
                                                                   Evidence Outcomes
                                                                                                                     Objectives

                                                            Properties of algebra, equality, and
                                                        2   inequality are used to solve linear
   Patterns, Functions, and Algebraic




                                                            equations and inequalities
                                                            Use the distributive, associative, and
                                                        a   commutative properties to simplify
                                                            algebraic expressions
                                         Eighth Grade




                                                            Solve one variable equations, including
               Structures




                                                            those involving multiple steps, rational  2.5a; Now includes more complex
                                                        b
                                                            numbers, variables on both sides, and the equations
                                                            distributive property

                                                            Solve inequalities in one variable
                                                        c   (including negative coefficients) and        2.2a; Now includes solving and graphing
                                                            graph the solution on a number line

                                                            Represent the distributive property in a
                                                        d   variety of ways including numerically,
                                                            geometrically, and algebraically
                                                            Graphs and tables can be used to
Functions, and




                                         Eighth Grade




                                                        2   distinguish between linear and
  Structures
  Algebraic
   Patterns,




                                                            nonlinear functions
                                                            Given a table or graph determine if the      2.4a; Now includes formal instead of
                                                        a
                                                            function is linear                           informal methods
                                                            Explain the properties of linear functions
                                                        b
                                                            in tables and graphs




                                                                                                                             Page 17 of 55
                                                                                                               Math Standards Crosswalk
                                                                                                                     Eighth Grade



                                                                                                                Referent:
                                                            Grade Level Expectations
Standard                            Grade                                                              CSAP Assessment Framework          District Curriculum Notes   Implications
                                                               Evidence Outcomes
                                                                                                               Objectives

                                                        Visual displays and summary
                                                        statistics of two-variable data
   Data Analysis, Statistics, and




                                                        condense the information in data sets
                                                    1   into usable knowledge
                                                        Given a scatterplot, calculate quadrant
                                     Eighth Grade




                                                        count ratio to quantify the magnitude and
           Probability




                                                        strength of the association between two
                                                        variables for numeric data as positive,
                                                    a   negative, or no correlation
                                                        Given a scatterplot suggesting a linear
                                                        relationship, draw a line of fit to make
                                                    b   predictions
                                                        Use time series plots (line graphs) to
                                                        analyze the trend of a set of data over
                                                    c   time                                         3.4a; Specific to line graphs
                                                        Objects in the plane and their parts
Shape, Dimension, and




                                                    1
                                                        and attributes can be analyzed
                                                        Classify quadrilaterals and apply angle
    Relationships




                                     Eighth Grade




                                                    a   and side properties, including the sum of 4.2a; Specific to quadrilaterals
     Geometric




                                                        the interior angles
                                                        Apply properties of complementary,
                                                    b   supplementary, and vertical angle
                                                        relationships
                                                        Apply properties of parallel lines including
                                                    c   corresponding angles and alternate
                                                        interior angles




                                                                                                                        Page 18 of 55
                                                                                                          Math Standards Crosswalk
                                                                                                                Eighth Grade



                                                                                                             Referent:
                                                   Grade Level Expectations
Standard                   Grade                                                                    CSAP Assessment Framework          District Curriculum Notes   Implications
                                                      Evidence Outcomes
                                                                                                            Objectives

                                               Direct and indirect measurements
 Geometric Relationships




                                           2   can be used to describe and make
 Shape, Dimension, and




                                               comparisons
                                               Use properties of similar triangles to find
                                           a                                                 4.2a, 4.3a; Specific to triangles
                            Eighth Grade



                                               unknown lengths
                                               Use the Pythagorean Theorem to find
                                           b                                                 4.5b
                                               unknown lengths in right triangles
                                                                                             5.1a, 5.2a; Explicit proportional
                                               Use proportional reasoning to estimate
                                           c                                                 reasoning specific to distance, weight,
                                               distance, weight, and capacity
                                                                                             and capacity
                                               Use proportional reasoning to convert
                                                                                             5.2a; Explicit proportional reasoning
                                           d   amoung measures including dimensional
                                                                                             including dimensional analysis
                                               analysis




                                                                                                                  Page 19 of 55
                                                                                                                 Math Standards Crosswalk
                                                                                                                      Seventh Grade



                                                                                                                    Referent:
                                                          Grade Level Expectations
Standard                         Grade                                                                     CSAP Assessment Framework             District Curriculum Notes   Implications
                                                             Evidence Outcomes
                                                                                                                   Objectives

                                                      In the real number system, rational
 Number Sense, Properties,




                                                  1   numbers have a unique location on
                                                      the number line
     and Operations




                                  Seventh Grade



                                                      Read, write, locate on number line,
                                                  a   compare and order integers and positive       1.1a, 1.2a, 1.2b
                                                      rational numbers
                                                      Apply the definition of absolute value with
                                                  b   integers quantifying the distance from
                                                      zero
                                                      Express large and small numbers using
                                                  c
                                                      scientific notation
                                                      Formulate, represent, and use
 Number Sense, Properties, and




                                                      algorithms with integers and positive
                                                  2
                                                      rational numbers flexibly, accurately,
                                                      and efficiently
                                  Seventh Grade




                                                      Simplify numeric expressions using the
                                                  a                                                 6.2a
         Operations




                                                      order of operations
                                                      Add, subtract, multiply, and divide           6.2b, No longer includes positive rational
                                                  b
                                                      integers                                      numbers
                                                      Use mental math and estimation
                                                  c   strategies to solve problems involving        6.3b, Now specific to percent
                                                      percents
                                                      Solve problems involving percent of a
                                                      number, discounts, taxes, simple interest, 1.4a, Now includes percent increase and
                                                  d
                                                      percent increase, and percent decrease     decrease
                                                      (PFL)




                                                                                                                         Page 20 of 55
                                                                                                               Math Standards Crosswalk
                                                                                                                    Seventh Grade



                                                                                                                  Referent:
                                                          Grade Level Expectations
Standard                         Grade                                                                   CSAP Assessment Framework          District Curriculum Notes   Implications
                                                             Evidence Outcomes
                                                                                                                 Objectives

                                                      Proportional reasoning involves
                                                  3   comparisons and multiplicative
 Number Sense, Properties, and




                                                      relationships among ratios
                                                      Use ratio relationships to solve for a
                                                  a                                               1.4a
                                                      missing value in a proportion
                                  Seventh Grade




                                                      Model proportional relationships with bar   4.3a, 6.1a, Now includes bar models and
         Operations




                                                  b
                                                      models, ratio tables, and similar figures   ratio tables

                                                      Explain the difference between a ratio,
                                                  c
                                                      rate, and unit rate

                                                      Estimate and compute unit cost of
                                                      consumables (to include unit conversions
                                                  d   if necessary) sold in quantity to make
                                                      purchase decisions based on cost and
                                                      practicality (PFL)

                                                      Relationships involving the constant
 Patterns, Functions, and




                                                  1   rate of change are modeled and
   Algebraic Structures




                                                      solved using linear functions
                                  Seventh Grade




                                                      Given a linear situation (including, direct
                                                  a   variation), identify variables and write an 2.5b
                                                      equation in slope-intercept form

                                                      Given a linear equation (including direct
                                                      variation), substitute input values to
                                                  b                                               2.5a, 2.5b
                                                      create a table and graph coordinate
                                                      points in all four quadrants




                                                                                                                      Page 21 of 55
                                                                                                                              Math Standards Crosswalk
                                                                                                                                   Seventh Grade



                                                                                                                               Referent:
                                                                        Grade Level Expectations
Standard                                       Grade                                                                  CSAP Assessment Framework             District Curriculum Notes   Implications
                                                                           Evidence Outcomes
                                                                                                                              Objectives

                                                                    Visual displays and summary
                                                                    statistics with one-variable data
                                                                    condense the information in data sets
  Data Analysis, Statistics, and Probability




                                                                1   into usable knowledge
                                                                    Distinguish between median as middle
                                                                    number and mean as balance point for an       3.3a, 3.2a, Now includes distinguishing
                                                                a   ordered set of data                           between median and mean
                                                                    Use Mean Absolute Deviation (MAD) to
                                                                b   analyze the spread of a set of data
                                                Seventh Grade




                                                                    Construct and interpret dot plots,
                                                                    histograms, stem-and-leaf plots, and          3.1a, 3.1b, Now includes constructing
                                                                c   circle graphs.                                circle graphs
                                                                    Construct and interpret a box plot using
                                                                    the five number summary and identify
                                                                    the interquartile range (IQR) for a set of
                                                                d   data
                                                                    Compare sets of data using shape
                                                                    (skewed, normal, uniform), with
                                                                    appropriate measures of central tendency
                                                                    (mean, median, mode), and appropriate
                                                                e   measures of spread (range, IQR, MAD)
                                                                    Given a frequency table, calculate relative
                                                                f   frequencies




                                                                                                                                      Page 22 of 55
                                                                                                         Math Standards Crosswalk
                                                                                                              Seventh Grade



                                                                                                            Referent:
                                                     Grade Level Expectations
Standard                    Grade                                                                  CSAP Assessment Framework           District Curriculum Notes   Implications
                                                        Evidence Outcomes
                                                                                                           Objectives

                                                 Objects in space and their parts and
                                             1   attributes can be measured and
  Geometric Relationships
  Shape, Dimension, and




                                                 analyzed
                                                 Develop and apply formulas and
                             Seventh Grade



                                                                                            4.5c; Now includes developing formulas;
                                             a   procedures for the surface area and
                                                                                            now includes cylinders
                                                 volume of right cylinders and right prisms
                                                 Develop and apply formulas and
                                                 procedures for area of regular polygons,   5.4a, 4.5a. 4.5b; Now includes composite
                                             b
                                                 circumference and area of circles, and     igures
                                                 area of composite figures
                                                 Identify and construct two-dimensional
                                             c
                                                 nets of prisms and cylinders
                                                 Proportional reasoning is used to
                                             2
Shape, Dimension,




                                                 make indirect measurements
                             Seventh Grade
  and Geometric
  Relationships




                                                 Describe the relationship between the
                                             a                                              5.5a
                                                 circumference and diameter of a circle
                                             b   Read and interpret scales on maps          5.3a
                                                 Use proportions to convert from one set
                                                 of units to another within customary and
                                             c   metric systems using standard units of
                                                 measure for length, weight, capacity and
                                                 time




                                                                                                                Page 23 of 55
                                                                                                                      Math Standards Crosswalk
                                                                                                                             Sixth Grade



                                                                                                                        Referent:
                                                                    Grade Level Expectations
Standard                                     Grade                                                             CSAP Assessment Framework          District Curriculum Notes   Implications
                                                                       Evidence Outcomes
                                                                                                                       Objectives


                                                                In the real number system, positive
                                                            1   rational numbers are represented in
  Number Sense, Properties, and Operations




                                                                multiple equivalent forms

                                                                Read, write, compare, convert between
                                                                and order positive rational numbers in a   1.1b, 1.2a, 1.4a; Now includes
                                                            a   variety of forms including proper and      converting; not limited to common
                                                                improper fractions, mixed numbers,         fractions and decimals
                                                                decimals, and percents
                                              Sixth Grade




                                                                Express whole numbers as products of
                                                                prime factors with exponents and use
                                                            b   prime factorization to find the greatest
                                                                common factor and least common
                                                                multiple of two numbers

                                                                Express the quotient and remainder of a
                                                                whole number division problem (a/b or a
                                                            c
                                                                ÷ b) using fractions, terminating
                                                                decimals, or repeating decimals

                                                                Locate positive fractions and decimals on 1.1a; Not limited to common fractions
                                                            d
                                                                a number line                             and decimals




                                                                                                                               Page 24 of 55
                                                                                                                             Math Standards Crosswalk
                                                                                                                                    Sixth Grade



                                                                                                                              Referent:
                                                                          Grade Level Expectations
Standard                                           Grade                                                             CSAP Assessment Framework              District Curriculum Notes   Implications
                                                                             Evidence Outcomes
                                                                                                                             Objectives

                                                                      Formulate, represent, and use
        Number Sense, Properties, and Operations




                                                                      algorithms with positive rational
                                                                  2
                                                                      numbers flexibly, accurately, and
                                                                      efficiently

                                                                      Model and compute the addition,
                                                                                                                  6.2a, 6.2b, 6.4a; Now includes
                                                                      subtraction, multiplication and division of
                                                                  a                                               combinations and multiplicationand
                                                                      positive fractions, decimals, and
                                                    Sixth Grade




                                                                                                                  division
                                                                      combinations of fractions and decimals

                                                                      Solve multi-step word problems involving 6.2b, 6.4a; Specifies multi-step; includes
                                                                  b
                                                                      fractions, decimals and whole numbers    multiplication and divisionion

                                                                      Estimate sums, differences, products and
                                                                                                               1.6a, 6.3a; Includes multiplication and
                                                                      quotients of rational numbers using
                                                                  c                                            division but not necessarily in problem
                                                                      common fractions, common decimals,
                                                                                                               solving situations
                                                                      and whole numbers
                                                                      Compare and round positive numbers
                                                                  d
                                                                      from thousandths through millions

                                                                      Quantities can be expressed and
                                                                  3
 Number Sense, Properties, and




                                                                      compared using ratios and rates
                                                                      Apply the multiplicative identity to create
                                                                  a   equivalent fractions and to reduce
                                                                      fractions to simplest form
                                                    Sixth Grade
         Operations




                                                                      Express the comparison of two whole
                                                                      number quantities using differences, part
                                                                  b   to part ratios, and part to whole ratios in
                                                                      real contexts, including investing and
                                                                      saving (PFL)
                                                                      Compute unit rates in real world
                                                                      situations involving mixtures,
                                                                  c
                                                                      concentrations, and distance-time
                                                                      relationships




                                                                                                                                     Page 25 of 55
                                                                                                                Math Standards Crosswalk
                                                                                                                       Sixth Grade



                                                                                                                 Referent:
                                                           Grade Level Expectations
Standard                            Grade                                                               CSAP Assessment Framework              District Curriculum Notes   Implications
                                                              Evidence Outcomes
                                                                                                                Objectives

                                                       Patterns can be described using
                                                   1
   Patterns, Functions, and




                                                       words, tables, and graphs
     Algebraic Structures




                                                       Extend the pattern and describe the rule     2.1a, 2.2a; Now specifies extending; now
                                                   a
                                                       for arithmetic and geometric sequences       includes describing the rule
                                     6th Grade




                                                       Model linear situations using tables and
                                                                                                    2.3a, 2.5a; Now includes converting
                                                   b   graphs, and convert between these two
                                                                                                    between representations
                                                       representations
                                                       Given a linear equation, substitute non-
                                                       negative input values to create a table
                                                   c
                                                       and graph coordinate points in the 1st
                                                       quadrant
                                                       Variables are used to represent
Functions, and




                                                   2
                                                       unknown quantities
  Structures



                                     6th Grade
  Algebraic
   Patterns,




                                                       Describe patterns by using words and by
                                                                                                    2.1a; Includes use of variables and
                                                   a   using variables with mathematical
                                                                                                    symbols
                                                       symbols
                                                       Evaluate expressions by substituting
                                                   b
                                                       whole number values for variables
                                                       Questions can be answered by
                                                       collecting and analyzing data and
   Data Analysis, Statistics, and




                                                   1   data displays
                                                       Formulate questions for populations
                                                   a   larger than the classroom
                                                       Recognize that a sample may not
                                     Sixth Grade
           Probability




                                                   b   represent a population accurately
                                                       Recognize bias in surveys
                                                   c
                                                       Utilize appropriate techniques to design a
                                                   d   random sample
                                                       Recognize the use of deceptive scales on
                                                       a graph that make differences look much
                                                       larger than they are, or the use of
                                                       pictographs with areas that are
                                                   e   proportioned incorrectly




                                                                                                                        Page 26 of 55
                                                                                                             Math Standards Crosswalk
                                                                                                                    Sixth Grade



                                                                                                              Referent:
                                                         Grade Level Expectations
Standard                          Grade                                                              CSAP Assessment Framework            District Curriculum Notes   Implications
                                                            Evidence Outcomes
                                                                                                             Objectives

                                                     Mathematical models are used to
 Data Analysis, Statistics, and




                                                 2   determine probability
                                                     Determine probabilities through
                                                 a   experiments or simulations
                                   Sixth Grade




                                                     Express the probability of an event using
         Probability




                                                 b   fractions, decimals, and percents
                                                     Make a table, tree diagram or an
                                                     organized list to determine possible
                                                     outcomes of two or more compound            3.7a; Now includes two or more
                                                 c   events                                      compound events
                                                     Predict outcomes of events using           3.6.b; Now includes theoretical
                                                 d   experimental and theoretical probabilities probabilities

                                                     Polygons can be described, classified,
                                                 1
                                                     and analyzed by their attributes
 Geometric Relationships
 Shape, Dimension, and




                                                     Develop and apply formulas and
                                                 a   procedures for finding area of triangles,   4.5b, 5.4b; Now includes trapezoids
                                   Sixth Grade




                                                     parallelograms, and, trapezoids

                                                     Describe properties of polygons up to ten 4.2a; “Identify” changed” to “describe”;
                                                 b
                                                     sides accurate vocabulary and notation    now includes accurate notation
                                                     Classify triangles and apply angle and
                                                 c   side properties, including the sum of the
                                                     interior angles
                                                     Use accurate geometric notation to
                                                 d
                                                     describe angles, lines, and segments




                                                                                                                     Page 27 of 55
                                                                                                      Math Standards Crosswalk
                                                                                                             Sixth Grade



                                                                                                       Referent:
                                                  Grade Level Expectations
Standard                   Grade                                                              CSAP Assessment Framework              District Curriculum Notes   Implications
                                                     Evidence Outcomes
                                                                                                      Objectives

                                              Standard units provide common
                                          2   language for communicating
 Geometric Relationships
 Shape, Dimension, and




                                              measurements
                                          a   Connect metric prefixes to place value
                            Sixth Grade




                                              Measure to the nearest sixteenth of an
                                          b
                                              inch
                                              Select and use appropriate units to         5.1a, 5.1b; No longer includes
                                              accurately measure length, weight,          temperature or estimation; “estimate”
                                          c                                               changed to “accurately measure”; now
                                              capacity and time in problem solving
                                              situations                                  includes time and use in problem solving
                                                                                          situations
                                              Use a protractor to measure angles to the
                                          d
                                              nearest degree




                                                                                                              Page 28 of 55
                                                                                                                                 Math Standards Crosswalk
                                                                                                                                        Fifth Grade



                                                                                                                                  Referent:
                                                                         Grade Level Expectations
Standard                                          Grade                                                                  CSAP Assessment Framework             District Curriculum Notes   Implications
                                                                            Evidence Outcomes
                                                                                                                                 Objectives

                                                                     The characteristics of numbers can
 Number Sense, Properties,




                                                                 1   be used to classify them in various
                                                                     ways
     and Operations




                                                                     Apply concepts of squares, primes,              1.1c, 1.3a, 1.3c; “Identify” changed to
                                                   Fifth Grade



                                                                 a   composites, factors, and multiples to           “apply”
                                                                     solve problems
                                                                     Use the identity, associative,
                                                                                                                     1.5a, 1.5b, 2.1c
                                                                 b   commutative, and distributive properties
                                                                     to solve problems

                                                                     Describe and use divisibility rules for 2, 3,
                                                                 c
                                                                     4, 5, 6, 9, and 10 to solve problems

                                                                     In the real number system,
                                                                     commonly used rational numbers
                                                                 2
                                                                     have multiple equivalent
       Number Sense, Properties, and Operations




                                                                     representations
                                                                     Find equivalent forms of commonly used
                                                                                                                     1.1b, 1.4a; Now includes computational
                                                                     fractions, decimals, and percents using
                                                                 a                                                   strategies
                                                                     models, drawings, and computational
                                                                     strategies
                                                   Fifth Grade




                                                                     Use common fractions and percents to
                                                                     calculate parts of whole numbers in       6.1a; Now includes fraction of a whole
                                                                 b   problem situations, including comparisons and personal financial literacy
                                                                     of savings rates at different financial
                                                                     institutions (PFL)
                                                                     Model addition, subtraction, and
                                                                                                                6.2d, 6.2e; Now includes
                                                                 c   multiplication of fractions, decimals, and
                                                                     percents
                                                                     Compose and decompose multi-digit
                                                                                                                1.3b; Now includes decimals
                                                                 d   numbers based on place value; whole and
                                                                     decimal
                                                                     Represent numbers to 1,000,000 with
                                                                 e
                                                                     expanded notation and exponents




                                                                                                                                          Page 29 of 55
                                                                                                                             Math Standards Crosswalk
                                                                                                                                    Fifth Grade



                                                                                                                              Referent:
                                                                        Grade Level Expectations
Standard                                         Grade                                                               CSAP Assessment Framework               District Curriculum Notes   Implications
                                                                           Evidence Outcomes
                                                                                                                             Objectives


                                                                    Formulate, represent, and use
                                                                    algorithms to mulitply and divide
      Number Sense, Properties, and Operations




                                                                3
                                                                    multi-digit whole numbers with
                                                                    flexibilty, accuracy, and efficiency

                                                                    Use flexible methods of computing
                                                                                                                 6.2b, 6.2c, 6.4b; More specificity on
                                                                    including student-generated and
                                                                                                                 computation; no longer includes addition
                                                                a   standard algorithms to multiply and
                                                                                                                 and subtraction
                                                                    divide multi-digit numbers by two-digit
                                                  Fifth Grade




                                                                    factors or divisors
                                                                                                                 6.2a; More specificity on models
                                                                    Model multiplication and division using      expected; no longer includes addition and
                                                                b
                                                                    area, linear, and grouping models            subtraction

                                                                    Interpret remainders and select the most
                                                                c   useful form of the quotient in division
                                                                    problems

                                                                    Select and use appropriate methods to
                                                                    estimate products and quotients or       1.6b, 6.3a, 6.3b, 6.4d
                                                                d
                                                                    calculate them mentally depending on the
                                                                    context and numbers involved

                                                                    Number patterns and relationships
Patterns, Functions,




                                                                1   can be described using a variety of
                                                                    tools
   and Algebraic




                                                  Fifth Grade




                                                                    Analyze and describe patterns and
     Structures




                                                                                                                 2.1a, 2.2a, 2.5a; Now includes
                                                                a   relationships using words, tables, graphs,
                                                                                                                 technology
                                                                    symbols, and technology
                                                                    Explain, extend, and use patterns and
                                                                    relationships in solving problems,           2.1a, 2.2a; Now includes personal
                                                                b   including those involving saving and         financial literacy
                                                                    checking accounts such as spending more
                                                                    means saving less (PFL)




                                                                                                                                     Page 30 of 55
                                                                                                             Math Standards Crosswalk
                                                                                                                    Fifth Grade



                                                                                                              Referent:
                                                         Grade Level Expectations
Standard                          Grade                                                              CSAP Assessment Framework              District Curriculum Notes   Implications
                                                            Evidence Outcomes
                                                                                                             Objectives


                                                     When a relationship exists between
                                                 2   two quantities, a change in one
 Patterns, Functions, and




                                                     results in a change in the other
   Algebraic Structures




                                                     Express change relationships involving
                                                                                                 2.1a, 2.2a, 2.3a, 2.5a; Now change
                                                     whole numbers with if/then statements,
                                   Fifth Grade




                                                 a                                               relationships and if/then statements are
                                                     input/output boxes, function tables, and
                                                                                                 new
                                                     rule statements
                                                     Select, describe and use symbols to
                                                 b                                               2.1b; “Variables” changed to “symbols”
                                                     express unknown quantities
                                                     Use patterns to solve problems including
                                                     those involving saving and checking         2.1a, 2.2a; Now includes personal
                                                 c
                                                     accounts such as the pattern created        financial literacy
                                                     when saving $10 a month (PFL)
                                                     Visual displays and summary
                                                     statistics are used to describe and
 Data Analysis, Statistics, and




                                                 1   interpret data
                                                     Formulate a question and hypothesis to
                                                     design appropriate data collection and      Implied in 3.4a
                                                 a   display methods
                                   Fifth Grade
         Probability




                                                     Select and create appropriate displays of
                                                     data including double bar graphs, time      3.1b, 3.1d; Now includes double bar
                                                 b   plots, and line graphs.                     graphs and time plots
                                                     Interpret data using the concepts of
                                                     shape of distribution, range, mode,         3.2a, 3.2b; Now includes mean and shape
                                                 c   median and mean                             of distribution
                                                     Draw conclusions, and make convincing
                                                     arguments based on categorical and
                                                 d   numerical data analysis                     3.1a, 3.1c, 3.3a, 3.4b




                                                                                                                      Page 31 of 55
                                                                                                               Math Standards Crosswalk
                                                                                                                      Fifth Grade



                                                                                                                Referent:
                                                         Grade Level Expectations
Standard                          Grade                                                                CSAP Assessment Framework              District Curriculum Notes   Implications
                                                            Evidence Outcomes
                                                                                                               Objectives

                                                     Mathematical models are used to
 Data Analysis, Statistics, and




                                                     determine probability analyze and
                                                 2   describe the outcomes of events
                                                     Organize all possible outcomes of events
                                                 a   in a list or chart                            3.7a; “Solve” changed to “organize”
                                   Fifth Grade
         Probability




                                                     Use fractions, decimals, and percents to
                                                 b   quantify the likelihood of events             3.5c; Now includes decimals and percents
                                                     Explain why a game involving a chance
                                                     devices such as number cubes or spinners
                                                 c   is fair or unfair                             3.6a; No longer includes designing
                                                     Compare individual data to class data
                                                     collected from chance devices to describe
                                                     the differences in outcomes based on          3.6b; No longer includes prediction;
                                                 d   sample size                                   emphasis on sample size
                                                     Geometric figures in the plane and in
                                                 1   space are described and analyzed by
 Geometric Relationships
 Shape, Dimension, and




                                                     their attributes
                                                     Relate two-dimensional shapes to three-
                                                                                                   4.1a, 4.2a; Now includes faces, edges
                                                 a   dimensional shapes using faces, edges,
                                   Fifth Grade




                                                                                                   and vertices
                                                     and vertices
                                                     Predict and describe the results of
                                                                                                   4.6a; Now includes formal mathematical
                                                 b   transformations: translations, reflections,
                                                                                                   language for transformations
                                                     rotations
                                                                                                   5.1d, 5.1e; Now includes comparison of
                                                 c   Classify and compare angles
                                                                                                   angles
                                                     Apply concepts of parallel, perpendicular,
                                                 d                                              4.2a, 4.6b; Now includes congruence
                                                     congruence and line symmetry




                                                                                                                        Page 32 of 55
                                                                                                       Math Standards Crosswalk
                                                                                                              Fifth Grade



                                                                                                       Referent:
                                                  Grade Level Expectations
Standard                   Grade                                                              CSAP Assessment Framework           District Curriculum Notes   Implications
                                                     Evidence Outcomes
                                                                                                      Objectives

                                              Linear measure, area, and volume are
                                          2   fundamentally different and require
 Geometric Relationships
 Shape, Dimension, and




                                              different units of measure
                                              Accurately measure length to the nearest
                                          a                                             5.6b; Now includes nearest 1/8" and mm
                                              1/8 inch or millimeter
                            Fifth Grade




                                              Determine the perimeter of polygons and
                                          b                                             4.5a, 4.5b, 5.4a
                                              area of rectangles
                                              Distinguish between appropriate units for
                                          c                                             5.1a, 5.6a
                                              area and linear measures
                                          d   Model volume using cubic units

                                              Use, apply, and select appropriate scales
                                          e                                               5.3a, 5.3b
                                              on number lines, graphs, and maps




                                                                                                             Page 33 of 55
                                                                                                             Math Standards Crosswalk
                                                                                                                   Fourth Grade



                                                                                                               Referent:
                                                         Grade Level Expectations
Standard                         Grade                                                                CSAP Assessment Framework              District Curriculum Notes   Implications
                                                            Evidence Outcomes
                                                                                                              Objectives


                                                     The decimal number system
                                                     describes place value patterns and
 Number Sense, Properties, and




                                                     relationships that are repeated in
                                                 1
                                                     large and small numbers and forms
                                                     the foundation for efficient
                                                     algorithms
                                  Fourth Grade
         Operations




                                                     Read and write numbers from 1 to             1.2a, 1.2b; Includes numbers to 100,000;
                                                 a   100,000 and explain place value for five-    ordering removed; “identify” changed to
                                                     digit numbers                                “explain”
                                                     Compose and decompose multi-digit
                                                 b                                                1.2b (embedded), 1.2c
                                                     numbers based on place value
                                                     Read and write numbers to the
                                                 c
                                                     hundredths place
                                                     Identify the value of any given digit in a
                                                 d   number with decimals to the hundredths
                                                     place




                                                                                                                     Page 34 of 55
                                                                                                                                 Math Standards Crosswalk
                                                                                                                                       Fourth Grade



                                                                                                                                  Referent:
                                                                           Grade Level Expectations
Standard                                           Grade                                                                 CSAP Assessment Framework             District Curriculum Notes   Implications
                                                                              Evidence Outcomes
                                                                                                                                 Objectives

                                                                       Formulate, represent, and use algorithms
        Number Sense, Properties, and Operations




                                                                   2   to mulitply and divide with flexibilty,
                                                                       accuracy, and efficiency

                                                                       Use flexible and efficient methods of
                                                                       computing including standard algorithms       6.4b; No longer includes addition and
                                                                   a
                                                                       to solve three or four digit by one-digit     subtraction
                                                                       multiplication or division problems
                                                    Fourth Grade




                                                                       Estimate using strategies such as front
                                                                                                                     1.5a, 6.4a; No longer includes addition
                                                                   b   end or rounding to justify the
                                                                                                                     and subtraction
                                                                       reasonableness of solutions to problems

                                                                       Demonstrate fluency with multiplication
                                                                                                                     6.3a; “Understanding” changed to
                                                                   c   facts and their related division facts 0 to
                                                                                                                     “fluency”
                                                                       12
                                                                       Explain why multi-digit multiplication and
                                                                       division procedures work based on place       6.1a; Explain based on place value
                                                                   d
                                                                       value properties and use them to solve        properties
                                                                       problems
                                                                       Different models and representations
 Number Sense, Properties, and




                                                                   3   can be used to compare fractional
                                                                       parts
                                                                       Solve comparison problems using models
                                                                                                              1.1a; Now includes all denominators
                                                    Fourth Grade




                                                                   a   of fractions with like and unlike
         Operations




                                                                                                              through 10
                                                                       denominators through 10

                                                                       Estimate and justify the reasonableness
                                                                   b   of solutions to problems involving
                                                                       comparison of fractions

                                                                       Demonstrate equivalent fractions,
                                                                   c   decimals, and percents using drawings
                                                                       and models




                                                                                                                                          Page 35 of 55
                                                                                                              Math Standards Crosswalk
                                                                                                                    Fourth Grade



                                                                                                                 Referent:
                                                        Grade Level Expectations
Standard                        Grade                                                                   CSAP Assessment Framework          District Curriculum Notes   Implications
                                                           Evidence Outcomes
                                                                                                                Objectives

                                                    Number patterns and relationships
                                                1
Patterns, Functions,




                                                    can be represented by symbols
   and Algebraic




                                                    Use number relationships to find the
                                 Fourth Grade


                                                a                                                2.1b
     Structures




                                                    missing number in a sequence

                                                    Use a symbol to represent and find an
                                                b
                                                    unknown quantity in a problem situation
                                                c   Complete input/output tables                 2.2a; 2.3a; 2.4a
                                                d   Find the unknown in simple equations

                                                    Number properties and relationships
                                                2
                                                    can be used to solve problems
   Patterns, Functions, and
     Algebraic Structures




                                                    Use and describe number patterns for         1.3a; Includes description of number
                                 Fourth Grade




                                                a   counting by 2, 5, 9, 10, and 11 from a       patterns; no longer includes 3 and 100;
                                                    given starting number                        now includes 9 and 11

                                                    Communicate the inverse relationship
                                                    between multiplication and division, and
                                                b
                                                    use this relationship to efficiently solve
                                                    and check problems
                                                    Use the commutative and associative
                                                                                                 1.4b; Only multiplication; excludes
                                                c   properties of multiplication to solve
                                                                                                 properties of 0 and 1
                                                    problems
   Data Analysis, Statistics,




                                                    Visual displays of classroom data can
                                                    be used to summarize information
       and Probability




                                                1   across the content areas
                                 Fourth Grade




                                                    Compose questions to generate data
                                                a   related to grade level areas of study
                                                    Collect data from class experiments or
                                                b   multi-classroom surveys
                                                    Create data displays appropriate to data 3.1a; Addresses appropriate displays for
                                                c   collected                                data
                                                    Describe data using the concept of shape
                                                d   of the distribution



                                                                                                                      Page 36 of 55
                                                                                                              Math Standards Crosswalk
                                                                                                                    Fourth Grade



                                                                                                               Referent:
                                                          Grade Level Expectations
Standard                          Grade                                                               CSAP Assessment Framework                 District Curriculum Notes   Implications
                                                             Evidence Outcomes
                                                                                                              Objectives

                                                      Mathematical models are used to test
                                                      predictions about the likehood of
 Data Analysis, Statistics, and




                                                  2   events
                                                      Formulate a question to test a prediction,
                                                                                                 3.3a; Contains an element in this
                                                      conduct an experiment using chance
                                                                                                 objective with a greater depth of
                                   Fourth Grade




                                                      devices, such as coins, spinners, and
         Probability




                                                                                                 knowledge
                                                  a   number cubes, to test predictions
                                                      Represent the outcomes of experiments
                                                      with fractions, and describe using the
                                                      concepts of impossible, unlikely, likely,   3.3b; Includes impossible and certain;
                                                  b   and certain                                 represents outcomes with fractions
                                                      Describe the likelihood of real life situaton
                                                      using the likelihood of real life situations
                                                      using the concepts of impossible,             3.3b; Includes impossible and certain and
                                                  c   unlikely, likely and certain (PFL)            real life situations
                                                      Geometric figures are described by
                                                  1   their attributes and specific location
 Geometric Relationships




                                                      in the plane
 Shape, Dimension, and




                                                      Identify parallel, perpendicular, and
                                                  a   intersecting line segments in the plane       4.2a; 4.2b; Includes perpendicular
                                   Fourth Grade




                                                      and within geometric shapes
                                                      Create geometric designs using
                                                  b   transformations (reflections, translations,
                                                      and rotations)
                                                      Compare geometric figures according to
                                                                                                    4.1a, 4.1b, 4.2a; “Identify” changed to
                                                  c   the attributes of congruence, symmetry,
                                                                                                    “compare”
                                                      and angle size.
                                                      Name and locate points specified by
                                                  d   ordered number pairs on a coordinate          4.4a; Now specifies all quadrants
                                                      grid




                                                                                                                       Page 37 of 55
                                                                                                              Math Standards Crosswalk
                                                                                                                    Fourth Grade



                                                                                                                 Referent:
                                                           Grade Level Expectations
Standard                           Grade                                                                CSAP Assessment Framework            District Curriculum Notes   Implications
                                                              Evidence Outcomes
                                                                                                                Objectives

                                                       Appropriate measurement tools,
                                                       units, and systems are used to
                                                   2
                                                       measure different attributes of
 Shape, Dimension, and Geometric




                                                       objects and time
                                                   a   Model area using square units             5.3b
                                                   b   Distinguish between area and perimeter    4.3a; “Solve” changed to “distinguish”
          Relationships




                                                       Convert using unit equivalencies within
                                    Fourth Grade




                                                       the standard measurement system (yards
                                                   c
                                                       to feet and feet to inches, pounds to
                                                       ounces, gallons to quarts)
                                                       Convert using unit equivalencies within
                                                       the metric measuring system (meters to
                                                   d
                                                       centimeters, kilometers to meter, and
                                                       liters to milliliters)
                                                       Estimate and measure elapsed time to
                                                   e
                                                       the nearest quarter hour.
                                                       Select an appropriate tool and unit for   5.1b; Now excludes area, volume,
                                                   f
                                                       measuring length, weight and capacity.    temperature, time 5.5a; Now excludes area




                                                                                                                      Page 38 of 55
                                                                                                            Math Standards Crosswalk
                                                                                                                   Third Grade



                                                                                                             Referent:
                                                        Grade Level Expectations
Standard                         Grade                                                              CSAP Assessment Framework             District Curriculum Notes   Implications
                                                           Evidence Outcomes
                                                                                                            Objectives
 Number Sense, Properties, and




                                                    The whole number system describes
                                                    place value relationships from ones
                                                1
                                                    to 10,000 and forms the foundation
                                                    for efficient algorithms
                                  Third Grade
         Operations




                                                    Read and write numbers from 1 to 10,000
                                                                                            1.2a,1.2b,1.2c; Ordering no longer
                                                a   and explain place value for four-digit
                                                                                            included; “identify” changed to “explain”
                                                    numbers
                                                    Generalize the change represented when
                                                b   moving from one place to another place
                                                    in a number
                                                    Compose and decompose multi-digit           1.2c,1.2d; “Equivalent representations”
                                                c
                                                    numbers based on place value                changed to “compose and decompose”

                                                    Parts of a whole can be modeled and
                                                2
                                                    represented in different ways
 Number Sense, Properties, and




                                                    Use drawings, models, and numerals to
                                                    represent fractions (halves, thirds,       1.1b,1.3b; “Identify” changed to
                                                a
                                                    fourths, sixths, eighths) based on a whole “represent”; added sixths and eighths
                                  Third Grade
         Operations




                                                    shape, number set, or number line


                                                    Estimate and justify the reasonableness
                                                                                                1.5a; Justification added; now includes
                                                b   of solutions to problems involving
                                                                                                fractions
                                                    representations of fractions


                                                    Describe why equivalent fractions are two
                                                c   ways of modeling the same quantity
                                                    using a model or drawing




                                                                                                                     Page 39 of 55
                                                                                                               Math Standards Crosswalk
                                                                                                                      Third Grade



                                                                                                               Referent:
                                                        Grade Level Expectations
Standard                         Grade                                                                CSAP Assessment Framework                District Curriculum Notes   Implications
                                                           Evidence Outcomes
                                                                                                              Objectives


                                                    Formulate, represent, and use
 Number Sense, Properties, and




                                                    algorithms to add and subtract multi-
                                                3
                                                    digit whole numbers with flexibilty,
                                                    accuracy, and efficiency
                                  Third Grade
         Operations




                                                    Use number sense to estimate and justify
                                                a   the reasonableness of solutions to       1.5a; Justification added
                                                    problems
                                                    Use flexible methods of computing,
                                                                                                 6.5a; “Student generated strategies”
                                                b   including student-generated strategies
                                                                                                 included; eliminated multiplication
                                                    and standard algorithms
                                                    Estimate using strategies such as front
                                                c                                                1.5a, 6.4a
                                                    end estimation or landmark numbers

                                                    Multiplying and dividing are inverse
                                                4   operations modeled in a variety of
 Number Sense, Properties, and




                                                    ways
                                                                                                 6.3a; “Understanding” changed to
                                                    Demonstrate fluency with multiplication
                                                a                                                “fluency”; includes all single digit facts;
                                                    and division facts with single digit factors
                                                                                                 now includes division
                                  Third Grade
         Operations




                                                    Describe relationships between related
                                                b   facts and between multiplication and
                                                    division.
                                                    Represent multiplication and division
                                                                                               An add on from 6.1a of addition and
                                                c   problems with drawings, models, number
                                                                                               subtraction
                                                    sentences, and stories.
                                                    Model strategies to achieve a personal
                                                d   financial goal using arithmetic operations
                                                    (PFL)




                                                                                                                        Page 40 of 55
                                                                                                                        Math Standards Crosswalk
                                                                                                                               Third Grade



                                                                                                                           Referent:
                                                                   Grade Level Expectations
Standard                                    Grade                                                                 CSAP Assessment Framework             District Curriculum Notes   Implications
                                                                      Evidence Outcomes
                                                                                                                          Objectives

                                                               Number patterns are based on
                                                           1
Patterns, Functions, Patterns, Functions,




                                                               operations and relationships
                        and Algebraic




                                                               Extend simple arithmetic and geometric      2.1a, 2.1b; Now includes simple
                                             Third Grade

                                                           a
                          Structures




                                                               sequences                                   arithmetic sequences
                                                               Count by and analyze patterns in
                                                           b   multiples of 2, 3, 5, 9, 10, 11, 25, 50 and 2.1b; Now includes 9,11, 25, 50,and 100
                                                               100
                                                               Use known multiplication facts to solve
                                                           c
                                                               unknown multiplication problems
                                                               Number properties can be used to
                                                           2
                                                               solve problems
   and Algebraic




                                                               Use the commutative property to solve
                                             Third Grade
     Structures




                                                           a                                               1.4b; Now includes multiplication
                                                               addition and multiplication problems
                                                               Use the associative property to solve
                                                           b                                               1.4b
                                                               addition problems.

                                                               Use the relationship between addition and
                                                           c
                                                               multiplication to solve problems.
       Data Analysis, Statistics,




                                                               Visual displays of data can be used to
                                                               answer questions of interest
                                                           1
           and Probability




                                             Third Grade




                                                               Compose questions to generate data
                                                           a
                                                               Collect and organize data from simple
                                                           b   experiments or surveys in class             3.1a; Data collection added
                                                               Create picture graphs, bar graphs, dot
                                                               plots, and frequency tables from a data     3.1a; Dot plots and frequency tables
                                                           c   set                                         added
                                                               Describe data using the concepts of         3.2a; Now includes description of clusters
                                                           d   mode, clusters and gaps                     and gaps




                                                                                                                                Page 41 of 55
                                                                                                       Math Standards Crosswalk
                                                                                                              Third Grade



                                                                                                          Referent:
                                                   Grade Level Expectations
Standard                    Grade                                                                CSAP Assessment Framework          District Curriculum Notes   Implications
                                                      Evidence Outcomes
                                                                                                         Objectives

                                               Mathematical models are used to
Data Analysis,
Statistics, and




                                           2   explore and describe fairness
                             Third Grade
 Probability




                                               Investigate chance devices such as coins,
                                           a   spinners, and number cubes                 3.3a
                                               Apply the concepts of impossible, unlikely
                                           b   and likely                                 3.3a
                                               Determine if a chance device is fair or
                                           c   unfair
                                               Geometric figures are described by
  Geometric Relationships




                                           1   their attributes and position in the
  Shape, Dimension, and




                                               plane
                                               Construct and describe two-dimensional
                             Third Grade




                                                                                          4.2a; Now includes “construct” and
                                           a   shapes by attributes and properties such
                                                                                          “describe”
                                               as sides, angles, and symmetry
                                               Recognize and demonstrate
                                               transformations - reflections,
                                           b
                                               translations, and rotations - of basic
                                               shapes or designs
                                               Use geometric properties of points and
                                           c                                              4.2b
                                               line segments to describe figures
                                               Objects have distinct attributes that
Shape, Dimension,




                                           2   can be measured with appropriate
  and Geometric
  Relationships




                             Third Grade




                                               tools
                                               Use standard units to measure to the       5.3a; Degree of precision now indicated
                                           a
                                               nearest 1/2 or whole inch or centimeter    as nearest 1/2”

                                               Estimate and measure distance and          4.3a, 5.1c,5.3a, 5.4a; Includes
                                           b
                                               perimeter                                  estimation and measurement of distance




                                                                                                              Page 42 of 55
                                                                                                          Math Standards Crosswalk
                                                                                                                Second Grade



                                                                          Grade Level Expectations
Standard                                          Grade                                                                      District Curriculum Notes   Implications
                                                                             Evidence Outcomes




 Number Sense, Properties,
                                                                      The whole number system describes
                                                                      place value relationships from ones
                                                                  1
                                                                      to 1,000 and forms the foundation for
     and Operations




                                                   Second Grade
                                                                      efficient algorithms

                                                                      Read and write numbers to 1,000 and
                                                                  a   identify place value for three-digit
                                                                      numbers
                                                                      Describe relationships between ones,
                                                                  b
                                                                      tens, and hundreds
                                                                      Explain the value of a digit in a three-
                                                                  c
                                                                      digit number
                                                                  d   Order a collection of whole numbers

                                                                      Formulate, represent, and use
       Number Sense, Properties, and Operations




                                                                      algorithms to add and subtract two-
                                                                  2
                                                                      digit whole numbers with flexibilty,
                                                                      accuracy, and efficiency

                                                                      Demonstrate fluency with basic addition
                                                                  a
                                                                      and subtraction facts to sums of twenty
                                                   Second Grade




                                                                      Find value of a collection of coins and
                                                                  b
                                                                      choose coins to have a given value
                                                                      Create stories and models, including
                                                                  c   linear and difference, to illustrate addition
                                                                      and subtraction
                                                                      Select and use appropriate methods to
                                                                      estimate sums and differences or
                                                                  d
                                                                      calculate them mentally depending on the
                                                                      context and numbers involved

                                                                      Apply addition and subtraction concepts
                                                                  e
                                                                      to financial decision making (PFL)




                                                                                                                      Page 43 of 55
                                                                                      Math Standards Crosswalk
                                                                                            Second Grade



                                                      Grade Level Expectations
Standard                      Grade                                                                   District Curriculum Notes   Implications
                                                         Evidence Outcomes


                                                  Fractions represent parts of a whole



Properties, and
Number Sense,




                               Second Grade
                                              3
                                                  object or set



  Operations
                                                  Partition basic shapes, using common
                                              a
                                                  fractions such as 1/2, 1/3, and 1/4
                                                  Partition sets using common fractions
                                              b
                                                  such as 1/2, 1/3, 1/4
                                              1   Patterns are based on rules
Patterns, Functions,




                                                  Count objects by groups using 2, 5, and
                                              a
                               Second Grade
   and Algebraic




                                                  10
     Structures




                                                  Identify a missing number in a sequence,
                                              b
                                                  and describe a rule
                                                  Create and extend repeating patterns of 3-
                                                  5 elements using a variety of materials
                                              c
                                                  such as numbers, letters, shapes, and
                                                  manipulatives
                                                  Number relationships can be used to
   Patterns, Functions, and




                                              2
     Algebraic Structures




                                                  develop computation strategies
                                                  Use ten based strategies to solve addition
                               Second Grade




                                              a
                                                  and subtraction facts to 20

                                                  Demonstrate the structure of numbers as
                                              b
                                                  tens and ones in addition and subtraction
                                                  Communicate the inverse relationship
                                              c   between addition and subtraction, and
                                                  use this relationship to efficiently solve
                                                  and check problems




                                                                                               Page 44 of 55
                                                                              Math Standards Crosswalk
                                                                                    Second Grade



                                                Grade Level Expectations
Standard                Grade                                                                   District Curriculum Notes   Implications
                                                   Evidence Outcomes


                                            Visual displays of data can be


Data Analysis,
Statistics, and




                         Second Grade
                                        1   constructed in a variety of formats



 Probability
                                            Construct picture graphs and bar graphs
                                        a   from a data set
                                            Read and explain information in picture
                                        b   graphs and bar graphs.
                                            Describe data using concepts of median
                                        c   and range
                                            Mathematical models are used to
Data Analysis,
Statistics, and




                         Second Grade       describe the likelihood of an outcome
 Probability




                                        2   or event
                                            Collect data using chance devices, such
                                            as spinners and describe outcomes as
                                        a   likely or unlikely.
                                            Apply the concepts of likely or not likely
                                        b   to decisions from daily life (PFL)
Shape, Dimension, and




                                            Shapes can be created and described
                                        1
                                            by quantifiable attributes
                         Second Grade
    Relationships




                                            Recognize, describe, and create
     Geometric




                                            geometric figures according to given
                                        a
                                            quantifiable attributes (e.g., number of
                                            sides and size)
                                            Identify symmetry in two-dimensional
                                        b
                                            figures
                                            Use quantifiable attributes to describe
                                        c
                                            and estimate size of objects




                                                                                         Page 45 of 55
                                                                                Math Standards Crosswalk
                                                                                      Second Grade



                                                   Grade Level Expectations
Standard                   Grade                                                                  District Curriculum Notes   Implications
                                                      Evidence Outcomes


                                               Some attributes of objects are




 Geometric Relationships
                                           2   measurable and can be quantified

 Shape, Dimension, and
                                               using different tools




                            Second Grade
                                               Identify the measurable attribute and
                                           a
                                               appropriate unit of measure for an object
                                               Use common objects as non-standard
                                           b
                                               units
                                               Use standard linear measuring tools to
                                           c
                                               measure to the nearest whole unit
                                               Identify common units of time, weight,
                                           d   and temperature and their appropriate
                                               use




                                                                                           Page 46 of 55
                                                                                        Math Standards Crosswalk
                                                                                               First Grade



                                                        Grade Level Expectations
Standard                         Grade                                                                 District Curriculum Notes   Implications
                                                           Evidence Outcomes



                                                    The whole number system describes
                                                    place value relationships from ones
 Number Sense, Properties, and
                                                1
                                                    to one-hundred and forms the
                                                    foundation for efficient algorithms




                                  First Grade
                                                a   Count, read, and write numbers to 100
         Operations




                                                b   Estimate quantities less than 100
                                                    Represent quantities using tens units and
                                                c
                                                    ones units
                                                    Locate numbers up to 100 on a number
                                                d
                                                    display

                                                    Compare two sets of objects, including
                                                e   pennies, up to at least 25 using language
                                                    such as "three more or three fewer" (PFL)




                                                                                                Page 47 of 55
                                                                                        Math Standards Crosswalk
                                                                                               First Grade



                                                         Grade Level Expectations
Standard                          Grade                                                                  District Curriculum Notes   Implications
                                                            Evidence Outcomes


                                                     Adding and subtracting involves
                                                 2   composing and decomposing using a
                                                     variety of strategies
  Number Sense, Properties, and
                                                     Use addition when putting sets together
                                                 a   and subtraction for breaking sets apart or
                                                     describing the difference between sets


                                   First Grade
          Operations



                                                     Use number relationships such as
                                                     doubles, one more or one less, and the
                                                 b   relationship between composing and
                                                     decomposing to solve addition and
                                                     subtraction problems
                                                     Identify coins and find the value of a
                                                 c
                                                     collection of two coins(PFL)
                                                     Demonstrate fluency with basic addition
                                                 d   and related subtraction facts through
                                                     sums to 10
                                                     Parts of objects can be shown as
                                                 3
Properties, and
Number Sense,




                                                     fractions
                                   First Grade
  Operations




                                                     Identify unit fractions 1/2, 1/3, and 1/4
                                                 a
                                                     as parts of wholes or parts of groups

                                                     Understand fractions as equal shares or
                                                 b
                                                     parts




                                                                                                  Page 48 of 55
                                                                        Math Standards Crosswalk
                                                                               First Grade



                                           Grade Level Expectations
 Standard           Grade                                                                 District Curriculum Notes   Implications
                                              Evidence Outcomes




                     First Grade
                                   1   Patterns can grow




Structures
Functions,

Algebraic
 Patterns,

   and
                                   a   Count objects by groups of 2 or 5.
                                       Extend a repeating pattern based on a
                                   b
                                       rule.
                                       Number relationships can be used to
                                   2
 Functions, and



                                       solve problems

                     First Grade
   Structures
   Algebraic
    Patterns,




                                       Use number relationships such as
                                   a   doubles, or plus or minus one to solve
                                       problems
                                       Use the inverse relationship between
                                   b
                                       adding and subtracting to solve problems

                                       Visual displays of data can be created
                                   1
                                       using individual student data
  Data Analysis,
  Statistics, and




                     First Grade
   Probability




                                       Contribute individual data to classroom
                                   a   data display
                                       Read information from picture graphs,
                                   b   bar graphs, and tally charts
                                       Describe data by applying the concepts of
                                   c   largest, smallest and most often




                                                                                   Page 49 of 55
                                                                                Math Standards Crosswalk
                                                                                       First Grade



                                                  Grade Level Expectations
Standard                   Grade                                                               District Curriculum Notes   Implications
                                                     Evidence Outcomes



                                              Shapes can be created and described



 Geometric Relationships
 Shape, Dimension, and
                                          1
                                              by composing and decomposing

                                              Recognize, describe, and make shapes




                            First Grade
                                          a   according to given relationships,
                                              attributes, or properties.
                                              Sort geometric figures and describe how
                                          b
                                              they are alike and different
                                              Combine and take apart shapes tocreate
                                          c
                                              new shapes and describe results
                                              Measurement is used to compare and
                                          2
 Geometric Relationships




                                              order objects and events
 Shape, Dimension, and




                                              Measure the length of common objects
                                          a   using nonstandard units such as created
                            First Grade




                                              units, popsicle sticks, or paper clips
                                              Compare and order objects by length and
                                          b
                                              weight
                                              Distinguish units of time (day, night,
                                          c   morning, afternoon, hours) and connect
                                              them to common events
                                          d   Compare and order units of time




                                                                                        Page 50 of 55
                                                                                       Math Standards Crosswalk
                                                                                             Kindergarten



                                                         Grade Level Expectations
Standard                         Grade                                                                   District Curriculum Notes   Implications
                                                            Evidence Outcomes



                                                     Whole numbers can be used to name,


 Number Sense, Properties, and
                                                 1
                                                     count, represent, and order quantity
                                                 a   Count and represent objects to 20
                                                     Identify, read, and write corresponding
                                                 b




                                  Kindergarten
                                                     numerals
         Operations

                                                     Compare sets up to 10 objects and use
                                                 c
                                                     language to describe more, less, or same
                                                     Compare two sets of objects to at least
                                                 d   25 using language such as “more”, “less”,
                                                     or “the same”
                                                     Identify small groups of objects fewer
                                                 e   than 5 without counting, including zero as
                                                     “no objects”
                                                 f   Estimate quantities less than 20
                                                     Adding and subtracting to ten
 Number Sense, Properties,




                                                     involves composing and decomposing
                                                 2
                                                     using a variety of strategies and
                                                     representations
     and Operations




                                  Kindergarten




                                                     Use objects, including coins,and drawings
                                                 a   to model addition and subtraction
                                                     problems to 10 (PFL)
                                                     Identify numbers one more or one less
                                                 b
                                                     than a given number up to 10

                                                     Determine if more than or less than is
                                                 c
                                                     needed to change one quantity to another




                                                                                                  Page 51 of 55
                                                                       Math Standards Crosswalk
                                                                             Kindergarten



                                           Grade Level Expectations
Standard           Grade                                                                 District Curriculum Notes   Implications
                                              Evidence Outcomes




Functions, and




                    Kindergarten
                                   1   Patterns can repeat




  Structures
  Algebraic
   Patterns,                       a   Duplicate a simple pattern
                                       Extend a repeating two element pattern
                                       using a variety of materials such as
                                   b
                                       numbers, letters, shapes, and
                                       manipulatives
                                   2   Relationships exist between numbers
Functions, and




                    Kindergarten
  Structures



                                       Generalize the counting sequence pattern
  Algebraic
   Patterns,




                                   a   from counting all to knowing “one more”
                                       and “one less”

                                       Communicate the relationship between
                                   b
                                       composing and decomposing numbers

                                       Visual displays of classroom
                                       information can used to answer
 Data Analysis,
 Statistics, and




                                   1
                    Kindergarten




                                       questions
  Probability




                                       Collect classroom data
                                   a
                                       Identify and compare own data to group's
                                   b   data
                                       Describe bar graphs to answer questions
                                   c   such as more or less and simple trends.




                                                                                  Page 52 of 55
                                                                           Math Standards Crosswalk
                                                                                 Kindergarten



                                             Grade Level Expectations
Standard             Grade                                                                    District Curriculum Notes   Implications
                                                Evidence Outcomes


                                         Shapes are described by their



Dimension, and
                                     1




 Relationships



                      Kindergarten
                                         characteristics and position



  Geometric
    Shape,                               Recognize and informally describe two
                                     a   dimensional shapes with varying
                                         orientation, sizes, and shapes.
                                         Use relational vocabulary to describe
                                     b   spatial relationships (e.g., above, below,
                                         next to)
                                         Measurement is used to compare and
                                     2
 Shape, Dimension,




                                         order objects
   and Geometric
   Relationships




                      Kindergarten
                                         Recognize and compare attributes of
                                     a
                                         length, height, weight, capacity of objects
                                         Use estimates of measurements from
                                     b
                                         everyday experiences
                                         Order several objects by length, height,
                                     c
                                         weight, capacity, or price (PFL)




                                                                                       Page 53 of 55
                                                                        Math Standards Crosswalk
                                                                                Preschool



                                         Grade Level Expectations
 Standard           Grade                                                                District Curriculum Notes   Implications
                                            Evidence Outcomes


                                     Quantities can be represented and
                                 1



Properties,

Operations


                     Preschool
                                     counted
 Number
  Sense,
                                     Count and represent objects, including


   and
                                 a
                                     coins, to 10 (PFL)

                                 b   Match a quantity with a numeral
                                     Counting is a means for solving
                                 2
  Properties, and
  Number Sense,




                                     problems
    Operations




                     Preschool       Use vocabulary of same, different, more,
                                 a
                                     and less to express number relationships

                                     Solve problems answering the question
                                 b
                                     “how many” to ten
                                     Objects can be sorted based on
Structures
Functions,




                                 1
                     Preschool
Algebraic
 Patterns,




                                     patterns and relationships
   and




                                 a   Sort by a single attribute
                                     Match, place in a series, and group
                                 b
                                     objects according to one attribute
                                     Information and objects can be
  Data Analysis,
  Statistics, and




                                 1   sorted
   Probability




                     Preschool




                                     Use words to describe attributes of
                                 a   objects
                                      Sort and group similar objects into
                                 b   simple categories
                                     Contribute to class display of information
                                 c   (charts, graphs)
                                     Shapes can be observed in the world
 Dimension, and

  Relationships




                                 1   and described in relation to one
   Geometric




                     Preschool




                                     another
     Shape,




                                     Match, sort, group and name basic
                                 a
                                     shapes found in the natural environment
                                     Follow directions to arrange, order, or
                                 b
                                     position objects




                                                                                  Page 54 of 55
                                                                       Math Standards Crosswalk
                                                                               Preschool



                                         Grade Level Expectations
Standard            Grade                                                               District Curriculum Notes   Implications
                                            Evidence Outcomes


                                     Measurement is used to compare


Shape, Dimension,
                                 2
                                     objects


  and Geometric
  Relationships
                                 a   Describe the order of common events.




                     Preschool
                                     Group objects according to their size
                                     using standard and non-standard forms
                                 b
                                     (height, weight, length, or color
                                     brightness) of measurement
                                     Sort coins by physical attributes such as
                                 c
                                     color or size (PFL)




                                                                                 Page 55 of 55

								
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