6 Math - Quarter _1_ Math Grade 6

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					                       Montrose RE-1J Curriculum Maps

         This curriculum map was aligned using the 2005 CSAP Item Maps to determine the
frequency and weight of particular standards. This document is a prototype and should be
modified during the 2006-2007 school year by teachers. Please keep accurate records and notes
about revisions that need to be made. We will meet throughout the 2006-2007 school year.
Your input is very important in the development of a useful aligned curriculum across the
district. Please feel free to add in materials, references, supplemental materials, and anything
else that may help make this document user friendly.

       For more information on these curriculum maps, please contact the office of the Assistant
Superintendent for Curriculum and Instruction, (970) 249-7726.

       CR = Item was tested on the 2005 CSAP as a Constructed Response question

       MC = Item was tested on the 2005 CSAP as a Multiple Choice question



                    Explanation of Color Codes Used in Curriculum Map

Red Zone:             Highest priority, most frequently tested on CSAP.

Green Zone:           Individual grade level or content are teachers believe these are important
                      to know and do for CSAP.

Yellow Zone:          High priority, next most frequently tested on CSAP.

Blue Zone:            Mid-priority, not heavily tested on CSAP.




Revised August 8, 2006
              6th Grade Math              RE-1J                  Quarter_1_
Numbers are state assessment frameworks numbers
Benchmark          Description            Essential Skills             Notes/Resources
   and
Assessment
 Objective
    1.3a       Identify and use         factor, multiple,        CM: Prime Time
               number theory            prime, composite,
               concepts                 square number
    3.1a       Organize and             line graphs, bar         CM: Data About Us
               construct displays of    graphs,                  Math Practice
               data using a given set   frequency table          CPM: Chapter 2
               of data
                                        organize and construct
                                        displays of data using
                                        a given set of data
    3.1b       Read from various        interpret, draw          CM: Data About Us
               displays of data         conclusions from:        CPM: Chapter 1,10
                                        line graph, bar graph,
                                        circle graph,
                                        frequency table
 Standard 1    Number sense             students develop         All
                                        number sense and use
                                        numbers and number
                                        relationships in
                                        problem-solving
                                        situations and
                                        communicate the
                                        reasoning used in
                                        solving these
                                        problems
    6.3a       Estimation techniques    develop, apply and       All
                                        explain a variety of
                                        different estimation
                                        strategies in problem-
                                        solving situations and
                                        explain why an
                                        estimate may be
                                        acceptable in place of
                                        an exact answer.

                                        use estimation
                                        techniques before
                                        performing
                                        operations.
    6.4b       Estimate, exact, and     in a problem-solving     All
               reasonable results       situation, determine

Revised August 8, 2006
                                        whether the results are
                                        reasonable and justify
                                        those results with
                                        accurate computation
 Standard 6    Computation:             four basic operations     All
               students link concepts   using whole numbers
               and procedures as
               they develop and use
               computational
               techniques, including
               estimation, including
               mental arithmetic,
               paper-and-pencil,
               calculators, and
               computers, in
               problem-solving
               situations and
               communicate the
               reasoning involved in
               solving these
               problems



Benchmark          Description            Essential Skills              Notes/Resources
   and
Assessment
 Objective
    1.6a       Use number sense to      whole numbers,            All
               estimate, determine,     decimals, common
               and justify the          fractions, only sums
               reasonableness of        and differences for
               solutions                fractions and
                                        decimals (ex: is ½ +
                                        1/3 closer to 0, ½, or
                                        1?)
    3.2a       Data distributions and   find and use measures     CM: Data About Us
               interpretations          of central tendency       CPM: Chapter 1,10
                                        including mean,
                                        median, and mode
    3.4a       Convincing arguments     interpret, predict        CM: Data About Us
               based on data:           outcomes based on         CPM: Chapter 1,10
               analyze data and draw    line graphs, bar
               conclusions based on     graphs, and frequency
               data displays            tables
    3.4a       Data collection          demonstrate the           CM: Data About Us
               methods                  meaning of random         CPM: Chapter 10
                                        sampling and biased
                                        versus unbiased
Revised August 8, 2006
                                       samples
    5.3a       Read, interpret, and    on number lines,          CM: Data About Us
               apply scales            graphs, maps              CPM: Chapter
                                                                 CPM: Chapter 1,2




Benchmark          Description           Essential Skills             Notes/Resources
   and
Assessment
 Objective
    1.3b       Describe numbers by    divisibility, even/odd,     CM: Prime Time
               their characteristics  prime/composite,
                                      square
    1.5a       Develop, test, and     associative,                Math Practice
               explain conjectures    commutative, identity,      CPM: Chapter 1,3
               about properties of    distributive,
               integers and rational  multiplicative property
               numbers                of zero, on whole
                                      numbers, common
                                      fractions, decimals
    3.2b       Data distributions and find and use the range      CM: Data About Us
               interpretations        from a given set of data    CPM: Chapter 1,3
                                      (for example, find the
                                      range from 2-12. Note:
                                      range is 10)
    4.4a       Locating points on a   plot points on a            CM: Data About Us
               grid                   coordinate graph in         CPM: Chapter 3
                                      quadrant one
    4.4b       Representations on     choose the coordinate       CM: Data About Us
               coordinate grids       graph which represents      CPM: Chapter 3
                                      a given data set
    5.3b       Select the appropriate use the appropriate         CM: Data About Us
               scale for a given      scale when setting up a     CPM: Chapter 3
               problem                graph, determine the
                                      order of numbers on a
                                      number line
    6.2c       Procedures for the     find equivalent             Math Practice
               four operations        representations by          CPM: Chapter 3
                                      decomposing and
                                      composing whole
                                      numbers (for ex: 48 x
                                      12 = (48 x 10) + (48 x
                                      2)




Revised August 8, 2006
        6th Grade Math                      RE-1J                  Quarter _2_
Numbers are state assessment frameworks numbers
Benchmark          Description           Essential Skills              Notes/Resources
   and
Assessment
 Objective
    1.4a       Equivalent forms of      demonstrate              CM: Bits and Pieces I
               rational numbers         equivalence              CPM: Chapter 3,5,7
                                        relationships among
                                        fractions, decimals,
                                        and percents in
                                        problem-solving
                                        situations (for ex:
                                        two students out of
                                        eight is the same as
                                        25%)
    6.1a       Using proportional       to determine             CM: Bits and Pieces II
               reasoning                commonly-used            CPM: Chapter 7
                                        percentages (for
                                        example, 10%, 33%,
                                        75%) and to
                                        demonstrate the
                                        equivalence of
                                        fractions, decimals,
                                        and percents
    6.2b       Procedures for           simplify fractions;      CM: Bits and Pieces II
               computing with           demonstrate with         CPM: Chapter 7
               fractions and            proficiency addition
               decimals: use and        and subtraction of
               explain strategies to    fractions including
               add/subtract fractions   mixed numbers.
               with like and unlike
               denominators, mixed
               numbers, and
               decimals to
               thousandth.
    1.2a       Read, write and order    common fractions,        CM: Bits and Pieces I
               integers, rational       terminating and          CPM: Chapter 3,5,7
               numbers and common       repeating decimals,
               irrational numbers       percents in a variety
                                        of forms
    6.3a       Estimation techniques    develop, apply and       All
                                        explain a variety of
                                        different estimation
                                        strategies in problem-
                                        solving situations and

Revised August 8, 2006
                                      explain why an
                                      estimate may be
                                      acceptable in place of
                                      an exact answer.

                                      use estimation
                                      techniques before
                                      performing
                                      operations.
    6.4b       Estimate, exact, and   in a problem-solving    All
               reasonable results     situation, determine
                                      whether the results are
                                      reasonable and justify
                                      those results with
                                      accurate computation



Benchmark          Description          Essential Skills            Notes/Resources
   and
Assessment
 Objective
    1.1a       Locate numbers on a    common positive          CM: Bits and Pieces I
               number line            rational numbers,        CPM: Chapter 1
                                      terminating decimals
                                      through hundredths,
                                      fractions (halves,
                                      thirds, fourths,
                                      eighths, and
                                      sixteenths)

                                      mixed numbers,
                                      percents
    1.1b       Recognize and use      use physical materials CM: Bits and Pieces I
               equivalent             or pictures to         CPM: Chapter 2,5
               representations of     demonstrate the
               numbers in a variety   meaning and
               of forms               equivalence of
                                      fractions, decimals,
                                      and percents (for
                                      example, write the
                                      fractions, decimal,
                                      and percent value for
                                      the shaded portion of
                                      a partially shaded
                                      circle.
    1.6a       Use number sense to    whole numbers,         All
               estimate, determine,   decimals, common
               and justify the        fractions, only sums
Revised August 8, 2006
               reasonableness of          and differences for
               solutions                  fractions and
                                          decimals (ex: is ½ +
                                          1/3 closer to 0, ½, or
                                          1?)
    3.7a       Finding combinations       determine the number      CM: How Likely Is It?
               and permutations           of possible outcomes      CPM: Chapter 10
                                          for simple events
                                          using a variety of
                                          methods such as
                                          organized lists or tree
                                          diagrams
    6.4a       Applying computation       apply appropriate         CM: Bits and Pieces II
                                          computation methods       CPM: Chapter All
                                          to solve problems
                                          involving whole
                                          numbers, common
                                          fractions, decimals
                                          (use only addition
                                          and subtraction of
                                          fractions of decimals)


Benchmark           Description                   Essential Skills            Notes/Resources
   and
Assessment
 Objective
    3.6a      Probability models             using a chance device, such     CM: How Likely Is
                                             as a number cube or a           It?
                                             spinner, design a fair game     CPM: Chapter 10
                                             and an unfair game, and
                                             explain why they are fair and
                                             unfair
   3.6b       Probability predictions        make predictions based on       CM: How Likely Is
                                             data obtained from simple       It?
                                             probability experiments         CPM: Chapter 10
    3.6c      Probability determination      describe the likelihood of an   CM: How Likely Is
                                             event as a number from zero     It?
                                             to one or using words such      CPM: Chapter 10
                                             as certain, very likely, not
                                             likely, or impossible
    6.2a      Operations with fractions      demonstrate conceptual          CM: Bits and Pieces
                                             meaning of addition and         II
                                             subtraction of fractions and    CPM: Chapter 7
                                             decimals in problem solving
                                             situations




Revised August 8, 2006
        6th Grade Math                        RE-1J                   Quarter _3
Numbers are state assessment frameworks numbers

Benchmark         Description              Essential Skills             Notes/Resources
   and
Assessment
 Objective
    2.1a       Represent, describe,     using tables, words,        CM: Bits and Pieces II
               and analyze              symbols, concrete           CPM: Chapter 4
               geometric and            objects or pictures,
               numeric patterns         involving whole
                                        numbers
    2.3a       Pattern properties:      use whole numbers,          CM: Bits and Pieces I
               relation between         predict and describe        CPM: Chapter 10
               quantities               how a change in one
                                        quantity results in a
                                        change in another
                                        quantity in a linear
                                        relationship (for
                                        example, a creature
                                        gains three ounces a
                                        day, How much will it
                                        have gained over 10
                                        days?)
    2.5a       Solve simple linear      with whole numbers,         CM: Bits and Pieces II
               equations in             using tables, concrete      CPM: All
               problem-solving          objects
               situations using a
               variety of methods
               (informal, formal,
               and graphical) and a
               variety of tools
               (physical materials,
               calculators, and
               computers)
    4.2a       Attributes and           acute, obtuse, right        CM: Shapes and Designs
               vocabulary: identify,    angle, isosceles,           CPM: Chapter 4
               compare, and             equilateral, parallel
               analyze the attributes   lines, perpendicular
               of two-dimensional       lines, intersecting lines
               shapes and use           rays, line segments
               standard vocabulary
               to describe the          parallelograms,
               attributes               rhombuses, triangular
                                        prisms, use correct
                                        geometric symbols for
                                        parallelism,
Revised August 8, 2006
                                      perpendicularity, and
                                      triangles
    4.5a       Polygon and circle     solve problems             CM: Covering and
               measures               involving the perimeter    Surrounding
                                      of polygons and            CPM: Chapter 4,9
                                      circumference of circles
    4.5b       Area measures          solve problems             CM: Covering and
                                      involving areas of         Surrounding
                                      polygons (square,          CPM: Chapter 4,9
                                      rectangle parallelogram,
                                      rhombus, triangle and
                                      circles)
    5.4b       Measuring area         use formulas and           CM: Covering and
                                      procedures to solve        Surrounding
                                      problems involving the     CPM: Chapter 4
                                      area of squares,
                                      rectangles,
                                      parallelograms,
                                      rhombuses, and
                                      triangles
    6.3a       Estimation             develop, apply and         All
               techniques             explain a variety of
                                      different estimation
                                      strategies in problem-
                                      solving situations and
                                      explain why an estimate
                                      may be acceptable in
                                      place of an exact
                                      answer.

                                      use estimation
                                      techniques before
                                      performing operations.
    6.4b       Estimate, exact, and   in a problem-solving       All
               reasonable results     situation, determine
                                      whether the results are
                                      reasonable and justify
                                      those results with
                                      accurate computation




Revised August 8, 2006
Benchmark          Description         Essential Skills            Notes/Resources
   and
Assessment
 Objective
    1.6a       Use number sense to    whole numbers,         All
               estimate, determine,   decimals, common
               and justify the        fractions, only sums
               reasonableness of      and differences for
               solutions              fractions and decimals
                                      (ex: is ½ + 1/3 closer
                                      to 0, ½, or 1?)
    4.6b       Symmetry               use lines of symmetry CM: Shapes and Designs
               identification         to solve problems (for
                                      example, use a
                                      symmetry line in a
                                      rhombus to create two
                                      isosceles triangles)

     5.1       Angle properties       describe angles as       CM: Covering and
                                      acute, obtuse or right   Surrounding
                                                               CPM: Chapter 8
                                      estimate measures of
                                      angles, measure
                                      angles and draw
                                      complements and
                                      supplements
    5.4a       Measuring procedures   develop and use          CM: Covering and
                                      formulas or              Surrounding
                                      procedures to solve      CPM: Chapter 4
                                      problems involving
                                      the perimeter of a
                                      polygon




Revised August 8, 2006
Benchmark          Description            Essential Skills            Notes/Resources
   and
Assessment
 Objective
    4.2b       Geometric conjectures     make and test            CM: Shapes and Designs
                                         conjectures about        CPM: Chapter 4
                                         geometric
                                         relationships and
                                         develop logical
                                         arguments to justify
                                         conclusions
    4.6a       Congruence and            to identify congruent    CM: Covering and
               transformations: Use      shapes                   Surrounding
               reflections (flips),                               CPM: Chapter 4
               translations (slides),
               and rotations (turns)
    5.1a       Choosing tools and        determine the            Math Practice
               appropriate units to      appropriate unit of
               measure                   measure (metric and
                                         US customary) when
                                         estimating distance,
                                         capacity, and weight
    5.1b       Using estimation          estimate and use         Math Practice
                                         standard and metric
                                         units for length,
                                         weight, and
                                         temperature
    5.1c       Estimating perimeter      estimate the area of a   CM: Covering and
               and area                  polygon                  Surrounding
                                                                  CPM: Chapter 4
    5.2a       Estimate, make and        For example, to          CM: Covering and
               use direct and indirect   estimate the length of   Surrounding
               measurements of           a room using strides
               length
    5.5a       Effect of dimension       demonstrate how          CM: Covering and
               changes                   changing one of the      Surrounding
                                         dimensions of a
                                         rectangle or triangle
                                         affect its perimeter
                                         and area using
                                         concrete materials or
                                         graph paper




Revised August 8, 2006
            6th Grade Math                        RE-1J Quarter _4_
Numbers are state assessment frameworks numbers

Benchmark          Description          Essential Skills               Notes/Resources
   and
Assessment
 Objective
     1.1       Integers                Define, compare, and      CPM: Chapter 1,3
                                       order integers
    1.1b       Decimal meanings        count change up to        Math Practice
               (money)                 the amount given          CPM: Chapter 7
    5.3c       Time                    tell time on a standard   Math Practice
                                       clock, determine
                                       elapsed time given
                                       start and finish times
     6.2       Order of operations     demonstrate order of      Math Practice CPM: Chapter 3
                                       operations including
                                       exponents with whole
                                       numbers
    6.3a       Estimation techniques   develop, apply and        All
                                       explain a variety of
                                       different estimation
                                       strategies in problem-
                                       solving situations and
                                       explain why an
                                       estimate may be
                                       acceptable in place of
                                       an exact answer.

                                       use estimation
                                       techniques before
                                       performing
                                       operations.
    6.4b       Estimate, exact, and    in a problem-solving      All
               reasonable results      situation, determine
                                       whether the results
                                       are reasonable and
                                       justify those results
                                       with accurate
                                       computation




Revised August 8, 2006
Benchmark          Description          Essential Skills              Notes/Resources
   and
Assessment
 Objective
     1.1       Integers               add, subtract, multiply   CMP: Chapter
                                      and divide
    1.6a       Use number sense to    whole numbers,            All
               estimate, determine,   decimals, common
               and justify the        fractions, only sums
               reasonableness of      and differences for
               solutions              fractions and decimals
                                      (ex: is ½ + 1/3 closer
                                      to 0, ½, or 1?)
    6.4a       Applying               apply appropriate         All
               computation            computation methods
                                      to solve problems
                                      involving whole
                                      numbers, common
                                      fractions, decimals
                                      (addition, subtraction,
                                      multiplication,
                                      division)




Revised August 8, 2006
Benchmark           Description          Essential Skills           Notes/Resources
   and
Assessment
 Objective
    1.1c        Exponent meanings      perfect squares          Math Practice
                                       through 100              CM: Prime Time
    1.1d        Real number            identify subset of       CPM: Chapter 1,3
                meanings and           integers, including
                comparisons            counting (natural) and
                                       whole numbers


    1.4b        Number                 demonstrate
                investigations         multiplication inverse
                                       of positive rational
                                       numbers, demonstrate
                                       that division by zero is
                                       undefined
    2.1b        Use of variables in    use a variable to        Math Practice
                patterns and           represent an unknown CPM: All
                representations        (letter, box, or
                                       symbol)
    2.2a        Describe patterns      tables, graphs, words, Math Practice
                using a variety of     concrete objects,
                methods                symbols, pictures



References for Resources:

(CM) Connected Mathematics = information for these materials can be found at
      http://www.mth.msu.edu/cmp/

(CPM) College Preparatory Math – District text book

Linderman, Bill. Math Practice: Reinforce and Mater Basic Math Skills. Quack & Company, Inc.
       2003, Carson- Dellosa Publishing, Inc.




Revised August 8, 2006

				
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