Math G8 Q2 by U3B7jkAM

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									                                                                                  Youngstown City Schools
                                                                         Instruction Department 2010-2011 School Year
                                                                            Math Pacing Guide Grade 8 Quarter 2




 ACADEMIC CONTENT
                                                                                                                                                                  ASSESSMENT/
    STANDARDS &                           GRADE LEVEL                                                      TECHNOLOGY                   GLENCOE/ADDISON
                                                                             VOCABULARY                                                                            EVIDENCE
    BENCHMARKS                             INDICATORS                                                       RESOURCES                  WESLEY RESOURCES
                                                                                                                                                                  COLLECTION
 By end of 8-10 Program
IV. PATTERNS, FUNCTIONS                                                  linear inequality             ODE Lessons—                                          Assessment Options:
AND ALGEBRA STANDARD                                                      boundary line                http://ims.ode.stateoh.us                             Math Journals
                                                                         function                                                                            Rubrics
C. Translate information from     1. Relate the various                   input                        Ohio Resource Center—           Glencoe Pre-Algebra   Tests\Quizzes
one representation to another     representations of a relationship;     output                        www.ohiorc.org                  Chapter 3             Homework
representation of a relation or   i.e. relate a table to a graph, in      independent variable                                         Chapter 7             Student Performance
function.                         description and symbolic form.         dependent variable            National Council of                                   Student/Group Projects
                                                                         linear function               Teachers of Mathematics—        Addison Wesley        Portfolios
                                                                          non-linear function          http://illuminations.nctm.org   Chapter 3             Math Journals
D. Use algebraic                  2. Generalize patterns and             quadratic function                                            Chapter 4             Rubrics
representations, such as          sequences by describing how to         parabola                                                      Chapter 10.
tables, graphs, expressions,      find the nth term.                     exponential function
functions and inequalities, to                                           step function
model and solve problem           3. Identify functions as linear or     polynomial                                                                          Mathematical Processes:
situations.                       non-linear based on information        term                                                                                Problem Solving
                                  given in a table, graph or equation.   monomial                                                                            Reasoning & Proof
                                                                          x-intercept                                                                        Communication
                                  4. Extend the uses of variables to     y-intercept                                                                         Representation
                                  include covariants where y depends      parallel lines                                                                     Connections
                                  on x.                                   system of linear equations                                                         (Refer to Academic Content
                                                                          binomial                                                                           Standards Mathematics pp50-
B. Identify and classify          6. Describe the relationship            trinomial                                                                          53)
functions as linear or non-       between the graph of a line and its     degree
linear, and contrast their        equation, including being able to       like terms
properties using tables,          explain the meaning of slope as a       simplify
graphs or equations.              constant rate of change and y-
                                  intercept in real-world problems.
E. Analyze and compare
functions and their graphs
using attributes, such as rates
of change, intercepts and
zeros.



                                                                                                                                                                                      1
                                                                                Youngstown City Schools
                                                                       Instruction Department 2010-2011 School Year
                                                                          Math Pacing Guide Grade 8 Quarter 2




 ACADEMIC CONTENT
                                                                                                                                                 ASSESSMENT/
    STANDARDS &                         GRADE LEVEL                                                  TECHNOLOGY        GLENCOE/ADDISON
                                                                           VOCABULARY                                                             EVIDENCE
    BENCHMARKS                           INDICATORS                                                   RESOURCES       WESLEY RESOURCES
                                                                                                                                                 COLLECTION
 By end of 8-10 Program
I. NUMBERS, NUMBER                                                     variable                                                             Math Journals
SENSE AND OPERATIONS                                                   expression                                                           Rubrics
                                                                       equation                                                             Tests\Quizzes
G. Estimate, compute and        4. Explain and use inverse             inequality                                     Glencoe Pre-Algebra   Homework
solve problems involving real   relationships (addition/subtraction,   linear equation                                Chapter 4             Student Performance
numbers, including ratio,       multiplication/division,               line                                                                 Student/Group Projects
proportion and percent, and     squaring/square roots) in problem      formula                                                              Portfolios
explain solutions.              solving situations                      isolate                                                             Math Journals
                                                                        substitute                                                          Rubrics
                                                                       constant
                                                                       coefficient
                                                                       algebraic expression

IV. PATTERNS, FUNCTIONS                                                                                                                     Mathematical Processes:
AND ALGEBRA STANDARD                                                                                                                        Problem Solving
                                                                                                                                            Reasoning & Proof
F. Solve and graph linear       7. Use symbolic algebra (equations     numeric expression                             Glencoe Pre-Algebra   Communication
equations and inequalities.     and inequalities), graphs and tables   evaluate                                       Chapter 1             Representation
                                to represent situations and solve      simplify                                                             Connections
H. Solve systems of linear      problems.                               solve                                         Addison Wesley        (Refer to Academic Content
equations involving two                                                solution                                       Chapter 3             Standards Mathematics pp50-
variables graphically and       8. Write, simplify and evaluate         equivalent equations                          Chapter 4             53)
symbolically.                   algebraic expressions (including       addition property of                           Chapter 10
                                formulas) to generalize situations       equality
                                and solve problems.                     multiplication property of
                                                                         equality
                                9. Solve linear equations and
                                inequalities graphically,
                                symbolically and using technology.




                                                                                                                                                                     2
                                                                                   Youngstown City Schools
                                                                          Instruction Department 2010-2011 School Year
                                                                             Math Pacing Guide Grade 8 Quarter 2




 ACADEMIC CONTENT
                                                                                                                                               ASSESSMENT/
    STANDARDS &                           GRADE LEVEL                                                  TECHNOLOGY         GLENCOE/ADDISON
                                                                              VOCABULARY                                                        EVIDENCE
    BENCHMARKS                             INDICATORS                                                   RESOURCES        WESLEY RESOURCES
                                                                                                                                               COLLECTION
 By end of 8-10 Program
I. NUMBERS, NUMBER                7. Find the square root of perfect      square root                                    Glencoe Pre-Algebra
SENSE AND OPERATIONS              squares and approximate the             perfect square                                 Chapter 9
                                  square roots of non-perfect squares     radical sign
                                  as consecutive integers between         angles
                                  which the root lies; e.g., √130 is      triangles
                                  between 11 and 12.                      Pythagorean Theorem

IV. PATTERNS, FUNCTIONS
AND ALGEBRA

J. Describe and interpret rates   13. Compute and interpret slope,        slope                                          Glencoe Pre-Algebra
of change from graphical and      midpoint and distance given a set       rate of change                                 Chapter 8
numerical data                    of ordered pairs.                       direct variation                               Chapter 9
                                                                          constant of variation
                                  14. Differentiate and explain type of   midpoint formula                               Addison Wesley 3
                                  changes in mathematical                 distance formula                               Chapter 4
                                  relationships, such as linear vs.       coefficient
                                  non-linear, continuous vs. non-         constant
                                  continuous, direct variation vs.        x intercept
                                  inverse variation.                      y intercept

                                  15. Describe and compare how
                                  changes in an equation affects the
                                  related graphs; e.g., for a linear
                                  equation changing the co-efficient
                                  of X affects the slope and changing
                                  the constant affects the intercepts.

                                  16. Use graphing calculators or
                                  computers to analyze change; e.g.,
                                  interest compounded over time as a
                                  nonlinear growth pattern.



                                                                                                                                                             3
                                                                                   Youngstown City Schools
                                                                           Instruction Department 2010-2011 School Year
                                                                              Math Pacing Guide Grade 8 Quarter 2




 ACADEMIC CONTENT
                                                                                                                                                ASSESSMENT/
    STANDARDS &                           GRADE LEVEL                                                   TECHNOLOGY         GLENCOE/ADDISON
                                                                              VOCABULARY                                                         EVIDENCE
    BENCHMARKS                             INDICATORS                                                    RESOURCES        WESLEY RESOURCES
                                                                                                                                                COLLECTION
 By end of 8-10 Program
V. DATA ANALYSIS AND
PROBABILITY STANDARD

A. Create, interpret and use      1. Create and interpret                  scatterplots                                   Glencoe Pre-Algebra
graphical displays and            scatterplots and other types of          trend                                          Chapter 1
statistical measures to           graphs as appropriate.                   trend line
describe data; e.g., box-and-                                              line graph                                     Addison Wesley 3
whisker plots, histograms,        2. Evaluate different graphical          double line graph                              Chapter 1
scatterplots, measures of         representations of the same data to      bar graph
center and variability.           determine which is the most              double bar graph
                                  appropriate for an identified            stem and leaf graph
                                  purpose, e.g., line graph for part-to-   discreet data
                                  whole comparison, scatterplot for        continuous data
                                  relationship between two variants        mean
                                                                           mode
                                  3. Differentiate between discreet        median
                                  and continuous data and                  range
                                  appropriate ways to represent both.      measures of spread
                                                                           quartiles
B. Evaluate different graphical   4. Compare two sets of data using        interquartile                                  Glencoe Pre-Algebra
representations of the same       measures of center (mean, mode,          box and whisker plots                          Chapter 5
data to determine which is the    median) and measures of spread           line of best fit                               Chapter 12
most appropriate                  (range, quartiles, interquartile
representation                    range, percentiles).                                                                    Addison Wesley 3
                                                                                                                          Chapter 1
                                  5. Explain the mean’s sensitivity to
                                  extremes and its use in comparison
                                  with the median and mode.

                                  6. Make conjectures and possible
                                  relationships in a scatterplot and
                                  approximate line of best fit.



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