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Georgia Performance Standards GPS Yearlong Curriculum Alignment

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					                         8th Grade Georgia Performance Standards (GPS) Yearlong Curriculum Alignment
       Skills                1st Six Weeks              2nd Six Weeks                       3rd Six Weeks                   4th Six Weeks                  5th Six Weeks              6th Six Weeks
                           Dates: 8/9 – 9/17          Dates: 9/20 – 10/29                Dates: 11/01 – 12/17             Dates: 1/06 – 2/18            Dates: 2/22 – 4/01          Dates: 4/11 – 5/25
                           District Due Date           District Due Date                  District Due Date               District Due Date             District Due Date           District Due Date
                            Pretest by 8/20             Pretest by 9/24                    Pretest by 11/05                Pretest by 1//07               Pretest by 2/25            Pretest by 4/15
                            Posttest by 9/24           Posttest by 11/05                  Posttest by 12/17                Posttest by 2/25              Posttest by 4/15            Posttest by 5/25
                                                      N8N1 b, M8G2 a, b,                M8A3 e, f g, h, i, M8A4                                        M8G1 a, b, c, d, M8D1
                         M8N1 a, b, c, d, e, f, g,                                                                            M8G1 a                                                M8N, M8G, M8A,
Key Standards                                         M8A1 c-e, M8A2 a-d,                  a, b, c, d, e, f, g                                          a, b, c, M8D2 a, b,
                          h, i, j, k, M8A1 a, b                                                                             M8A5 b, c, a, d                                           M8G, M8P
                                                           M8A3 a-d                           M8D4 a, b                                                     M8D3 a, b

 What skills do our            Vocabulary:                  Vocabulary:                        Vocabulary:                    Vocabulary:                    Vocabulary:            Reinforce 8th Grade
 students already          Expressions, square       right triangle, properties,         expressions, equations,          systems of equations,        Congruence, Sets, Venn       “Must Know” Skills
     possess?             root, perfect squares,      Pythagorean Theorem,                 variable, exponents,               algebraically,               diagram, subsets,
                                                                                                                                                                                    Systems of Equations
                             radical, positive        slope, radicands, linear         algebraic equations in one             geometrically,                 complements,           Relations, Functions
 7th Grade Teachers
                            number, estimate,          measurement, indirect            variable, absolute values,       corresponding angles,         intersections, union, set     (i.e. definition of,
committed to these
“Must Know” Skills         scientific notation,       measurement, absolute            relations, linear functions,       corresponding sides,         notation, elements, tree      recursive and explicit
                            rational numbers,              value, algebraic                functions, non-linear        alternate interior angles,       diagram, outcomes,          definition), and Rates
                                                                                                                                                                                     of Change (Slope)
 Working with             irrational numbers,           equations, varying                 functions, translate,       alternate exterior angles,      addition principles of      Multiple
  Integers                exponents, algebraic          quantities, function,          tabular, scatter plot, slope,        same side angles,          counting, multiplication      Representations and
 Interpreting Graphs    expressions, equations          inputs and outputs,           y-intercept, rate of change,      parallel, perpendicular        principle of counting,       Applications of Multi-
 Simplifying                                                                                                                                                                        Step Equations
  Expressions:
                              in one variable           relations, inequality,           recursive, closed form,                                          probability, simple
                                                                                                                                                                                    Parallel and
  “Combining Like                                          range, domain,              arithmetic sequence, linear                                       independent events,
                                                                                                                                                                                     Perpendicular
  Terms”                                               independent variable,              inequality, half-plane                                       compound independent          Relationships
 Solving Two-Step                                       dependent variable                                                                              events, square roots,      Understand Multiple
  Equations to Include
                                                                                                                                                       perfect squares, rational     Representations and
  Rational Numbers
                                                                                                                                                         numbers, irrational,        Application of
 Graphing on a                                                                                                                                                                      Numbers (Rational,
  Coordinate Plane                                                                                                                                      numbers, transversal,        Irrational, Radical, and
 Recognize and Apply                                                                                                                                  ratio of segments, angle      Scientific Notation
  Properties:                                                                                                                                              pairs, congruence
  Commutative,
  Associative,
  Distributive

CRCT % Weights           GA Framework Tasks            GA Framework Tasks                GA Framework Tasks              GA Framework Tasks             GA Framework Tasks         Looking Ahead:
  Algebra 50%              Exploring Powers of 10           Making Quilts                        Pencil Point             Healthy Heartbeats while           Window Pain           9th grade students will
                                A Few Folds                 Ladder Lengths                   Is the Data Linear                  Exercising                 Venn Challenge         begin the year
 Geometry 11%                 A Big Universe           Functions are Operations            Connecting Arithmetic          Free Throw Percentages          Mrs. Love’s Children
  Number and                                                                                                                                                                       discussing patterns,
                             Sign of the Times             Comparing TV’s              Sequences and Linear Functions             Field Day                   Lunch Lines
Operations 22%                                              Victor’s House                      Best Fit Line                    DVD Club                     Holiday Fun          functions, and
                            Choose At least 2
Data Analysis &                                        The Pythagorean Theorem              Walking the Graph                  Cara’s Candles                  Heads Win           function notation (i.e.
                                Tasks
Probability 17%                                         The Real Number Line            Choose At least 4 Tasks           Cholesterol – The Worst            The Knockout          f(x) = 5x +3). Let’s
                            CMP2 Textbook            Choose At least 3 Tasks                                                       Scenario            Choose At least 4 Tasks     make sure our
                            Say it with Symbols                                            CMP2 Textbook
                                                                                                                              What’s the Point                                     students are prepared.
                         Growing, Growing, Growing      CMP2 Textbook                      The Shapes of Algebra                                          CMP2 Textbook
                                                                                                                         Real Life Systems of Linear
                           Looking for Pythagoras        Looking for Pythagoras            Choose At least 1                                             The Shapes of Algebra
                                                                                                                              Equations Project
                                                      Thinking with Mathematical                                                                         What Do You Expect?
                            Choose At least 3                    Models
                                                                                            Investigation                     Planning a Party
                             Investigations                                                CM2 Topic Pages              Choose At least 4 Tasks           Choose At least 1
                                                     Frogs, Flees, and Painted Cubes
                                                                                              Topic Page 2, 3              CMP2 Textbook                   Investigations
                                                         Choose At least 2                                                                                CM2 Topic Pages
                                                                                                                           The Shapes of Algebra
                                                          Investigation                                                                                    Topic Page 4, 6, 7
                                                         CM2 Topic Pages                                                   Choose At least 1
                                                            Topic Page 1, 5                                                 Investigation

                                                           NOTE: M8P (Process Skills) and MRC (Mathematics Reading in the Curriculum)
                                                                      should be integrated throughout all Standards taught.
                                                                 Maintenance of skills and concepts should be incorporated daily
                      8th Grade Georgia Performance Standards (GPS) Yearlong Curriculum Alignment
      Skills             First Six Weeks                     Second Six Weeks                        Third Six Weeks                      Fourth Six Weeks                   Fifth Six Weeks                 Sixth Six Weeks
                          1st Six Weeks                         2nd Six Weeks                          3rd Six Weeks                        4th Six Weeks                     5th Six Weeks                     6th Six Weeks
                        Dates: 8/10 – 9/18                    Dates: 9/21 – 10/30                    Dates: 11/2 – 12/18                  Dates: 1/05 – 2/19                Dates: 2/22 – 4/02               Dates: 4/12 – 5/21
                        District Due Date                      District Due Date                      District Due Date                   District Due Date                 District Due Date                 District Due Date
                         Pretest by 8/21                        Pretest by 9/25                       Pretest by 11/06                     Pretest by 1//08                  Pretest by 2/26                   Pretest by 4/16
                         Posttest by 9/25                      Posttest by 11/06                      Posttest by 12/18                    Posttest by 2/26                  Posttest by 4/16                  Posttest by 5/21
CMP2 Launch,         M8N1 a, b, c, d, e, f, g, h, i, j,   N8N1 b, M8G2 a, b, M8A1 c-e,          M8A3 e, f g, h, i, M8A4 a, b, c, d,       M8G1 a, M8A5 b, c, a, d         M8G1 a, b, c, d, M8D1 a,           Putting it all
                           k, M8A1 a, b                   M8A2 a-d, M8A3 a-d                    e, f, g, M8D4 a, b                                                       b, c, M8D2 a, b, M8D3 a, b
Problem of the                                                                                                                                                                                               Together and
Day, Mental          M8N1:                                M8N1:                                  M8A3:                                                                   M8G1:
                                                                                                                                                                                                             Getting Ready for
                                                                                                                                        M8G1:
Math, Spiral         a. Find square roots of perfect      b. Recognize the (positive) square    e. Use tables to describe sequences                                      a. Investigate characteristics of   the 9th grade
                                                                                                                                        a. Investigate characteristics
Review, Problem      squares.                             root of a number as a length of a     recursively & with a formula in
                                                                                                                                        of parallel and perpendicular
                                                                                                                                                                         parallel and perpendicular lines
Solving,             b. Recognize the (positive)          side of a square with a given area.   closed form.                                                             both algebraically and              M8N, M8G, M8A,
                                                          M8G2:                                 f. Understand and recognize             lines both algebraically and
                     square root of a number as a                                                                                                                        geometrically.
Manipulative,        length of a side of a square         a. Apply properties of right          arithmetic sequences as linear          geometrically.
                                                                                                                                                                         b. Apply properties of angle
                                                                                                                                                                                                               M8G, M8P
Technology,                                               triangles, including the              functions with whole number input       M8A5:
                     with a given area.                                                                                                                                  pairs formed by parallel lines
                                                                                                                                        b. Solve systems of equations
Real World           c. Recognize square roots as         Pythagorean theorem.                  values.
                                                                                                                                        graphically and algebraically,
                                                                                                                                                                         cut by a transversal.
Connections,         points and as lengths on a           b. Recognize and interpret the        g. Interpret the constant difference                                     c. Understand the properties of
                                                          Pythagorean theorem as a              in an arithmetic sequence as the        using technology as
                     number line.                                                                                                                                        the ratio of segments of parallel
Journal Writing      d. Understand that the square        statement about areas of squares      slope of the associated linear          appropriate.
                                                                                                                                                                         lines cut by one or more
                                                          on the sides of a right triangle.     function.                               c. Graph the solution set of a
                     root of 0 is 0 and that every                                                                                                                       transversals.
                                                                                                                                        system of linear inequalities
Concepts/Skills to   positive number has two square       M8A1:                                 h. Identify relations and functions
                                                                                                                                        in two variables
                                                                                                                                                                         d. Understand the meaning of
                     roots that are opposite in sign.     c. Solve algebraic equations in       as linear or nonlinear.                                                  congruence: that all




                                                                                                                                                                                                                 Ramp up Time for
Maintain:




                                                                                                                                                                                                                 Standards not met
                                                          one variable, including equations     i. Translate among verbal, tabular,     a. Given a problem context,
                     e. Recognize and use the                                                                                                                            corresponding angles are
Operations with                                           involving absolute values.            graphic, and algebraic                  write an appropriate system
                     radical symbol to denote the                                                                                                                        congruent and all
rational numbers,                                         d. Solve equations involving          representations of functions.           of linear equations or
                     positive square root of a                                                                                                                           corresponding sides are
                                                                                                                                        inequalities.
Properties of        positive number.                     several variables for one variable    M8A4:                                                                    congruent.
                                                          in terms of the others.               a. Interpret slope as a rate of         d. Interpret solutions in
equality, direct &   f. Estimate square roots of                                                                                                                         M8D1:
                                                          e. Interpret solutions in problem     change.                                 problem contexts.
                     positive numbers.                                                                                                                                   a. Demonstrate relationships
inverse                                                   contexts.                             b. Determine the meaning of the
                     g. Simplify, add, subtract,                                                                                                                         among sets through use of
proportions,         multiply, and divide                 M8A2:                                 slope and y-intercept in a given                                         Venn diagrams.
Solving multi-step   expressions containing square        a. Represent a given situation        situation.                                                               b. Determine subsets,
equations,           roots.                               using an inequality in one            c. Graph equations of the form y =                                       complements, intersection, and
                     h. Distinguish between rational      variable.                             mx + b.                                                                  union of sets.
Properties of real                                        b. Use the properties of inequality   d. Graph equations of the form ax +
                     and irrational numbers.                                                                                                                             c. Use set notation to denote
numbers, and         i. Simplify expressions              to solve inequalities.                by = c.                                                                  elements of a set.
statistics           containing integer exponents.        c. Graph the solution of an           e. Graph the solution set of a linear                                    M8D2:
                     j. Express and use numbers in        inequality on a number line.          inequality, identifying whether the                                      a. Use tree diagrams to find the
                     scientific notation.                 d. Interpret solutions in problem     solution set is an open or a closed                                      number of outcomes.
                     k. Use appropriate technologies      contexts.                             half-plane.                                                              b. Apply the addition and
                     to solve problems involving          M8A3:                                 f. Determine the equation of a line                                      multiplication principles of
                     square roots, exponents, and         a. Recognize a relation as a          given a graph, numerical                                                 counting
                     scientific notation                  correspondence between varying        information that defines the line or                                     M8D3:
                     M8A1:                                quantities.                           a context involving a linear                                             a. Find the probability of simple
                     a. Represent a given situation       b. Recognize a function as a          relationship.                                                            independent events.
      KCC            using algebraic expressions or       correspondence between inputs         g. Solve problems involving linear                                       b. Find the probability of
                     equations in one variable.           and outputs where the output for      relationships.                                                           compound independent events.
                     b. Simplify and evaluate             each input must be unique.            M8D4:
                     algebraic expressions.               c. Distinguish between relations      a. Gather data that can be modeled
                                                          that are functions and those that     with a linear function.
                     *Use a graphic organizer (i.e.       are not functions.                    b. Estimate and determine a line of
                     Venn Diagrams) to teach              d. Recognize functions in a           best fit from a scatter plot.                      NOTE: M8P (Process Skills) and MRC
                     students about the number            variety of representations and a
                                                                                                                                                  (Mathematics Reading in the Curriculum)
                     system                               variety of contexts.
                                                                                                                                                    should be integrated throughout all
                                                                                                                                                            Standards taught.
                                                                                                                                                    Maintenance of skills and concepts
                                                          Include rational numbers                                                                     should be incorporated daily
                                                          throughout all Standards.

				
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