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.