CHICAGO PUBLIC SCHOOLS (ILLINOIS) MATH & SCIENCE INITIATIVE COURSE FRAMEWORK FOR ALGEBRA Course Framework: Algebra

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1 Chicago Public Schools (Illinois) Math & Science Initiative Course Framework for Algebra Course Framework: Algebra Central Concepts and Habits of Mind The following concepts represent the big ideas or driving intellectual processes that describe the discipline of algebra. They should not be taught in isolation, but should be integrated throughout the curriculum structure. Problem Solving and Mathematical Reasoning Solving problems using generalized reasoning skills rather than with a memorized set of detailed and specific algorithms Solving multi-step problems and practical problems that occur in everyday life Using inquiry as a means of understanding concepts and solving problems in mathematics SE/TE: See Critical Thinking on page T798 of Index; Open-Ended on page T804 of Index SE/TE: See Connections: Careers, Interdisciplinary, Mathematics, and Real-World on pages T797, T798 of Index SE/TE: See Critical Thinking on page T798 of Index; Make a Conjecture on page T803 of index Algebraic Skills and Tools Demonstrating fluency with numerical calculations and symbolic manipulation Selecting appropriate computational methods (egg. mental, pencil and paper, graphical, calculator-based, software-based, etc.) Thinking about computations independently from the particular numbers that are used Working backwards from the answer to the starting point of a problem Recognizing patterns and organizing data using well defined rules (i.e. building rules to represent functions) SE/TE: 9-44, 50, 56, 63, , 136, 156, 349, , 493, 532, 556 SE/TE: See Mental Math on page T803 of Index; Graph(s) on page T801 of Index; Graphing calculator on page T801 of Index SE/TE: See Open-Ended on page T804 of Index; Error Analysis on page T799 of Index SE/TE: 208, 209, 375, 446, 608, 719 SE/TE: 37, 42, 43, 96, 185, 187, 209, 250, , 306, 308, 318, 319, 325, 329, 394, 397, 411, 428, 429, 434, 584, 621, 665, 716 1

2 Mathematical Communication Demonstrating fluency with multiple mathematical representations including symbols, tables, graphs, and expressions Understanding and describing mathematical concepts through reading, writing, listening, and speaking Sharing mathematical ideas in a variety of settings, including cooperative groups, whole class discussions, individual work, etc. SE/TE: See Symbol(s) on page T808 of Index; Tables on page T808 of Index; Graph(s) on page T801 of Index; Expressions on page T800 of Index SE/TE: See Reading Math on page T806 of Index; Writing on page T809 of Index SE/TE: Real-World Snapshots on pages , , , , , Major Curriculum Structure The course will be structured in a series of units that addresses major topics in algebra. While the storyline of these units will be driven by the algebra content, a major emphasis will be on developing abilities to understand concepts and solve problems. The following list of units represents an approximation of expected emphases and time allocations for key topics. The sequence may vary depending on the instructional materials being used, but the course should cover all topics indicated. These units should also incorporate concepts in geometry and measurement to integrate all ILS goals into the curriculum. Number and Operation Concepts (4 weeks) Representing quantities using variables and basic expressions SE/TE: 4-8, 15, 23, 36, 53, 58, 68, 70, 180, 702 TR: Practice, Reteaching, Enrichment 1-1; Practice Workbook 1-1; Spanish Practice Workbook 1-1; Reading and Math Literacy 1A; Spanish Reading and Math Literacy 1A; Basic Algebra Planning Guide 1-1; Transparencies [Check Skills You ll Need 1-1; Additional Examples 1-1; Student Edition Answers 1-1; Lesson Quiz 1-1]; PH Presentation Pro CD 1-1 Puzzles pp. 24, 29; Self-grading Lesson Quiz]; Teacher Center [Lesson 2

3 Simplifying and evaluating numerical and algebraic expressions using order of operations Representing and translating of these concepts between symbols, words, different types of graphs (histogram, bar, circle, Cartesian, etc.), or diagrams as appropriate SE/TE: 9-15, 23, 30, 44, 47-52, 58, 65, 69-70, 80, 145, 180, 392, , 447, 450, 454, 508, 528, 702 TR: Practice, Reteaching, Enrichment 1-2, 1-7; Practice Workbook 1-2, 1-7; Spanish Practice Workbook 1-2, 1-7; Hands-On Activities 3; Basic Algebra Planning Guide 1-2, 1-7; Transparencies [Check Skills You ll Need 1-2, 1-7; Additional Examples 1-2, 1-7; Student Edition Answers 1-2, 1-7; Lesson Quiz 1-2, 1-7]; PH Presentation Pro CD 1-2, 1-7 Puzzles pp. 2, 25, 28; Graphing Calculator, procedure 1; Self-grading Lesson Quiz]; Teacher Center [Lesson SE/TE: 59-64, 69-70, 80, 280, 702 TR: Practice, Reteaching, Enrichment 1-9; Practice Workbook 1-9; Spanish Practice Workbook 1-9; Basic Algebra Planning Guide 1-9; Transparencies [Check Skills You ll Need 1-9; Additional Examples 1-9; Student Edition Answers 1-9; Lesson Quiz 1-9]; PH Presentation Pro CD 1-9 Puzzles pp. 61, 62; Graphing Calculator, procedure 20; Self-grading Lesson Quiz]; Teacher Center [Lesson 3

4 Substituting numbers for unknown quantities to evaluate expressions SE/TE: 9-15, 23, 28-29, 34-35, 41-42, 44, 68, 70, 392, , 447, 450, 508, 528 TR: Practice, Reteaching, Enrichment 1-2; Practice Workbook 1-2; Spanish Practice Workbook 1-2; Basic Algebra Planning Guide 1-2; Transparencies [Check Skills You ll Need 1-2; Additional Examples 1-2; Student Edition Answers 1-2; Lesson Quiz 1-2]; PH Presentation Pro CD 1-2 Puzzles pp. 2, 25; Graphing Calculator, procedure 1; Self-grading Lesson Quiz]; Teacher Center [Lesson Linear Functions and Inequalities (6 weeks) Solving routine and contextual-based firstdegree equations and inequalities SE/TE: 74-80, 81-86, 88-94, , , 115, 123, , 132, , , , 166, 172, 176, 178, 180, 188, 195, 202, 209, 240, 267, 280, 289, 324, 338, 359, 703, 704 TR: Practice, Reteaching, Enrichment 2-1 to 2-5, 3-2 to 3-4; Practice Workbook 2-1 to 2-5, 3-2 to 3-4; Spanish Practice Workbook 2-1 to 2-5, 3-2 to 3-4; Reading and Math Literacy 2A, 2B, 3B; Spanish Reading and Math Literacy 2A, 2B, 3B; Technology Activities 16; Hands- On Activities 4, 5; Basic Algebra Planning Guide 2-1 to 2-5, 3-2 to 3-4; Transparencies [Check Skills You ll Need 2-1 to 2-5, 3-2 to 3-4; Additional Examples 2-1 to 2-5, 3-2 to 3-4; Student Edition Answers 2-1 to 2-5, 3-2 to 3-4; Lesson Quiz 2-1 to 2-5, 3-2 to 3-4]; PH Presentation Pro CD 2-1 to 2-5, 3-2 to 3-4 Puzzles pp , 46, 55, 56, 58; Graphing Calculator, procedures 7, 9 ; Self-grading 4

5 Recognizing patterns and developing linear models to describe them Developing linear functions and proportional relations SE/TE: , 571, 583, 711 TR: Practice, Reteaching, Enrichment 10-9; Practice Workbook 10-9; Spanish Practice Workbook 10-9; Technology Activities 9; Hands-On Activities 25; Basic Algebra Planning Guide 10-9; Transparencies [Check Skills You ll Need 10-9; Additional Examples 10-9; Student Edition Answers 10-9; Lesson Quiz 10-9]; PH Presentation Pro CD 10-9 [Teacher Web Code: aek-5500; Updated Data; Self-grading Lesson Quiz]; Teacher Center [Lesson SE/TE: , 202, 228, 230, 246, 252, , 273, , 429, 705, 706 TR: Practice, Reteaching, Enrichment 4-2, 5-5; Practice Workbook 4-2, 5-5; Spanish Practice Workbook 4-2, 5-5; Reading and Math Literacy 4B, 5C; Spanish Reading and Math Literacy 4B, 5C; Basic Algebra Planning Guide 4-2, 5-5; Transparencies [Check Skills You ll Need 4-2, 5-5; Additional Examples 4-2, 5-5; Student Edition Answers 4-2, 5-5; Lesson Quiz 4-2, 5-5]; PH Presentation Pro CD 4-2, 5-5 [Teacher Web Code: aek-5500; Updated Data; Reasoning & Puzzles p. 87; Self-grading 5

6 Representing these concepts through graphs, symbols, diagrams, or words as appropriate Solving rate of change, equations (simple and two-step), and inequalities SE/TE: , 175, , , , 317, , , 338, 399, 495, 704, 707 TR: Practice, Reteaching, Enrichment 3-1, 6-2 to 6-4, 6-6; Practice Workbook 3-1, 6-2 to 6-4, 6-6; Spanish Practice Workbook 3-1, 6-2 to 6-4, 6-6; Reading and Math Literacy 3A, 6B, 6C; Spanish Reading and Math Literacy 3A, 6B, 6C; Technology Activities 2, 6, 20; Hands-On Activities 7, 14, 19; Basic Algebra Planning Guide 3-1, 6-2 to 6-4, 6-6; Transparencies [Check Skills You ll Need 3-1, 6-2 to 6-4, 6-6; Additional Examples 3-1, 6-2 to 6-4, 6-6; Student Edition Answers 3-1, 6-2 to 6-4, 6-6; Lesson Quiz 3-1, 6-2 to 6-4, 6-6]; PH Presentation Pro CD 3-1, 6-2 to 6-4, 6-6 Puzzles pp. 57, 64; Updated Data; Graphing Calculator, procedures 5, 8, 22; Self-grading SE/TE: 74-80, 81-86, 88-94, , 123, , 128, 132, , , , 166, 172, 176, 178, 180, 188, 195, 202, 209, 240, 267, 280, , 297, 324, 331, 334, 338, 359, 368, 416, 703, 704, 707 TR: Practice, Reteaching, Enrichment 2-1 to 2-4, 3-2 to 3-4, 6-1; Practice Workbook 2-1 to 2-4, 3-2 to 3-4, 6-1; Spanish Practice Workbook 2-1 to 2-4, 3-2 to 3-4, 6-1; Reading and Math Literacy 2A, 2B, 3B, 6A; Spanish Reading and Math Literacy 2A, 2B, 3B, 6A; Technology Activities 1, 16; Hands-On Activities 4, 5, 13; Basic Algebra Planning Guide 2-1 to 2-4, 3-2 to 3-4, 6-1; Transparencies [Check Skills You ll Need 2-1 to 2-4, 3-2 to 3-4, 6-1; Additional Examples 2-1 to 2-4, 3-2 to 3-4, 6-1; Student Edition Answers 2-1 to 2-4, 3-2 to 3-4, 6-1; Lesson Quiz 2-1 to 2-4, 3-2 to 3-4, 6-1]; PH Presentation Pro CD 2-1 to 2-4, 3-2 to 3-4, 6-1 6

7 Solving rate of change, equations (simple and two-step), and inequalities Translating back and forth between algebraic sentences, equations, and words Puzzles pp , 55, 56, 58, 63, 64, 108; Graphing Calculator, procedure 5, 7, 9; Selfgrading Lesson Quiz]; Teacher Center [Lesson SE/TE: 4-8, 72, 92-93, , , 234, , , 702 TR: Practice, Reteaching, Enrichment 1-1, 2-5, 6-3; Practice Workbook 1-1, 2-5, 6-3; Spanish Practice Workbook 1-1, 2-5, 6-3; Reading and Math Literacy 1A, 6B; Spanish Reading and Math Literacy 1A, 6B; Basic Algebra Planning Guide 1-1, 2-5, 6-3; Transparencies [Check Skills You ll Need 1-1, 2-5, 6-3; Additional Examples 1-1, 2-5, 6-3; Student Edition Answers 1-1, 2-5, 6-3; Lesson Quiz 1-1, 2-5, 6-3]; PH Presentation Pro CD 1-1, 2-5, 6-3 Puzzles pp. 24, 29, 38, 39, 46; Graphing Calculator, procedure 5; Self-grading Lesson Quiz]; Teacher Center [Lesson Planner; Resources] Systems of Linear Equations (4 weeks) Using multiple strategies for solving two equations with two unknowns SE/TE: , , , , , 376, , 390, 416, 423, 465, 485, 501, 708 TR: Practice, Reteaching, Enrichment 7-1 to 7-4; Practice Workbook 7-1 to 7-4; Spanish Practice Workbook 7-1 to 7-4; Reading and Math Literacy 7A, 7B; Spanish Reading and Math Literacy 7A, 7B; Technology Activities 4, 21; Basic Algebra Planning Guide 7-1 to 7-4; Transparencies [Check Skills You ll Need 7-1 to 7-4; Additional Examples 7-1 to 7-4; Student Edition Answers 7-1 to 7-4; Lesson Quiz 7-1 to 7-4]; PH Presentation Pro CD 7-1 to 7-4 7

8 Using multiple strategies for solving two equations with two unknowns Interpreting the contextual meaning of systems with zero, one, or infinitely many solutions Puzzles pp. 68, 69, 71, 72; Self-grading SE/TE: , 387, 390 TR: Practice, Reteaching, Enrichment 7-1; Practice Workbook 7-1; Spanish Practice Workbook 7-1; Reading and Math Literacy 7A; Spanish Reading and Math Literacy 7A; Technology Activities 4; Basic Algebra Planning Guide 7-1; Transparencies [Check Skills You ll Need 7-1; Additional Examples 7-1; Student Edition Answers 7-1; Lesson Quiz 7-1]; PH Presentation Pro CD 7-1 Puzzles p. 68; Self-grading Lesson Quiz]; Teacher Center [Lesson Solving linear systems of inequalities SE/TE: , , 399, 410, 708 TR: Practice, Reteaching, Enrichment 7-6; Practice Workbook 7-6; Spanish Practice Workbook 7-6; Hands-On Activities 17; Basic Algebra Planning Guide 7-6; Transparencies [Check Skills You ll Need 7-6; Additional Examples 7-6; Student Edition Answers 7-6; Lesson Quiz 7-6]; PH Presentation Pro CD 7-6 [Teacher Web Code: aek-5500; Self-grading 8

9 Statistics and Probability Concepts (5 weeks) Organizing and applying single-variable data, frequency distributions, graphs, and histograms Identifying and understanding the significance of basic statistical quantities such as mean, median, mode, range, standard deviation, etc Understanding concepts of basic probability, such as equally likely, sample space, outcomes, counting principles, and analysis of events involving chance SE/TE: , 217, 246, 703 TR: Practice, Reteaching, Enrichment 2-7; Practice Workbook 2-7; Spanish Practice Workbook 2-7; Basic Algebra Planning Guide 2-7; Transparencies [Check Skills You ll Need 2-7; Additional Examples 2-7; Student Edition Answers 2-7; Lesson Quiz 2-7]; PH Presentation Pro CD 2-7 [Teacher Web Code: aek-5500; Graphing Calculator, procedure 21; Self-grading Lesson Quiz]; Teacher Center [Lesson Planner; Resources] SE/TE: , 139, 217, 576, 703 TR: Practice, Reteaching, Enrichment 2-7; Practice Workbook 2-7; Spanish Practice Workbook 2-7; Basic Algebra Planning Guide 2-7; Transparencies [Check Skills You ll Need 2-7; Additional Examples 2-7; Student Edition Answers 2-7; Lesson Quiz 2-7]; PH Presentation Pro CD 2-7 [Teacher Web Code: aek-5500; Graphing Calculator, procedure 21; Self-grading Lesson Quiz]; Teacher Center [Lesson Planner; Resources] SE/TE: , , , 240, 289, 303, 359, 634, 705 TR: Practice, Reteaching, Enrichment 4-5, 4-6; Practice Workbook 4-5, 4-6; Spanish Practice Workbook 4-5, 4-6; Reading and Math Literacy 4C; Spanish Reading and Math Literacy 4C; Hands-On Activities 10; Basic Algebra Planning Guide 4-5, 4-6; Transparencies [Check Skills You ll Need 4-5, 4-6; Additional Examples 4-5, 4-6; Student Edition Answers 4-5, 4-6; Lesson Quiz 4-5, 4-6]; PH Presentation Pro CD 4-5, 4-6 9

10 Understanding concepts of basic probability, such as equally likely, sample space, outcomes, counting principles, and analysis of events involving chance [Teacher Web Code: aek-5500; Graphing Calculator, procedure 15; Self-grading Lesson Quiz]; Teacher Center [Lesson Planner; Resources] Using an area model to describe probability SE/TE: 655, 660 Polynomials: Operations and Concepts (7 weeks) Solving quadratic equations by various methods (graphing, factoring, quadratic formula, etc.) Using a quadratic model to describe and solve geometric problems involving area Identifying and describing patterns which can be represented by quadratic functions and higher degree polynomials SE/TE: , , , , 558, , 597, 612, 619, 671, 677, 685, 691, 711 TR: Practice, Reteaching, Enrichment 10-4 to 10-7; Practice Workbook 10-4 to 10-7; Spanish Practice Workbook 10-4 to 10-7; Reading and Math Literacy 10B; Spanish Reading and Math Literacy 10B; Technology Activities 7, 24; Hands-On Activities 23; Basic Algebra Planning Guide 10-4 to 10-7; Transparencies [Check Skills You ll Need 10-4 to 10-7; Additional Examples 10-4 to 10-7; Student Edition Answers 10-4 to 10-7; Lesson Quiz 10-4 to 10-7]; PH Presentation Pro CD 10-4 to 10-7 Puzzles pp. 84, 96-99; Self-grading Lesson Quiz]; Teacher Center [Lesson Planner; Resources] SE/TE: 477, , , 551 SE/TE: , 523, , 567, 569, 571, 583, 711 TR: Practice, Reteaching, Enrichment 10-1, 10-9; Practice Workbook 10-1, 10-9; Spanish Practice Workbook 10-1, 10-9; Reading and Math Literacy 10A; Spanish Reading and Math Literacy 10A; Technology Activities 9; Hands-On Activities 25; Basic Algebra Planning Guide 10-1, 10-9; Transparencies 10

11 Identifying and describing patterns which can be represented by quadratic functions and higher degree polynomials Applying rules of exponents to solve problems in context Using basic functions (addition, subtraction, multiplication, and division) with polynomials TR: [Check Skills You ll Need 10-1, 10-9; Additional Examples 10-1, 10-9; Student Edition Answers 10-1, 10-9; Lesson Quiz 10-1, 10-9]; PH Presentation Pro CD 10-1, 10-9 [Teacher Web Code: aek-5500; Updated Data; Reasoning & Puzzles p. 88; Self-grading SE/TE: , 404, , , , 429, 444, 448, 450, 454, 461, 465, 472, 501, 528, 546, 634, 709 TR: Practice, Reteaching, Enrichment 8-1, 8-3 to 8-5; Practice Workbook 8-1, 8-3 to 8-5; Spanish Practice Workbook 8-1, 8-3 to 8-5; Reading and Math Literacy 8A, 8B; Spanish Reading and Math Literacy 8A, 8B; Basic Algebra Planning Guide 8-1, 8-3 to 8-5; Transparencies [Check Skills You ll Need 8-1, 8-3 to 8-5; Additional Examples 8-1, 8-3 to 8-5; Student Edition Answers 8-1, 8-3 to 8-5; Lesson Quiz 8-1, 8-3 to 8-5]; PH Presentation Pro CD 8-1, 8-3 to 8-5 Puzzles pp. 10, 30, 78; Graphing Calculator, procedure 17; Self-grading Lesson Quiz]; Teacher Center [Lesson SE/TE: , , , , 506, 516, 523, 583, 590, 597, , 671, 694, 696, 710, 713 TR: Practice, Reteaching, Enrichment 9-1 to 9-3, 12-5; Practice Workbook 9-1 to 9-3, 12-5; Spanish Practice Workbook 9-1 to 9-3, 12-5; Reading and Math Literacy 9A, 9B; Spanish Reading and Math Literacy 9A, 9B; Technology Activities 23; Hands-On Activities 20, 21; Basic Algebra Planning Guide 9-1 to 9-3, 12-5; Transparencies [Check Skills You ll Need 9-1 to 9-3, 12-5; Additional Examples 9-1 to 9-3, 12-5; Student 11

12 Using basic functions (addition, subtraction, multiplication, and division) with polynomials TR: Edition Answers 9-1 to 9-3, 12-5; Lesson Quiz 9-1 to 9-3, 12-5]; PH Presentation Pro CD 9-1 to 9-3, 12-5 Puzzles pp , 78, 95; Self-grading Rational and Irrational Expressions: Operations and Concepts (6 weeks) Performing basic operations and solving equations with rational (fractional) expressions SE/TE: , , 666, , , 685, 691, , 713 TR: Practice, Reteaching, Enrichment 12-3, 12-4, 12-6, 12-7; Practice Workbook 12-3, 12-4, 12-6, 12-7; Spanish Practice Workbook 12-3, 12-4, 12-6, 12-7; Reading and Math Literacy 12B; Spanish Reading and Math Literacy 12B; Hands-On Activities 29; Basic Algebra Planning Guide 12-3, 12-4, 12-6, 12-7; Transparencies [Check Skills You ll Need 12-3, 12-4, 12-6, 12-7; Additional Examples 12-3, 12-4, 12-6, 12-7; Student Edition Answers 12-3, 12-4, 12-6, 12-7; Lesson Quiz 12-3, 12-4, 12-6, 12-7]; PH Presentation Pro CD 12-3, 12-4, 12-6, 12-7 Puzzles pp. 32, 33, 36; Self-grading Lesson Quiz ]; Teacher Center [Lesson Planner; Resources] SE/TE: , 650, 693, 713 TR: Practice, Reteaching, Enrichment 12-1; Practice Workbook 12-1; Spanish Practice Workbook 12-1; Reading and Math Literacy 12A; Spanish Reading and Math Literacy 12A; Basic Algebra Planning Guide 12-1; Transparencies [Check Skills You ll Need 12-1; Additional Examples 12-1; Student Edition Answers 12-1; Lesson Quiz 12-1]; PH Presentation Pro CD

13 Identifying and describing inverse variations Performing basic operations and solving equations with irrational expressions (ie). Roots and rational exponents) Using rational and irrational expressions to solve application-based problems [Teacher Web Code: aek-5500; Self-grading SE/TE: , 534, 576, , , , , , 619, , 631, 634, 642, 661, 666, 671, 691, 711, 712 TR: Practice, Reteaching, Enrichment 10-3, 11-1 to 11-5; Practice Workbook 10-3, 11-1 to 11-5; Spanish Practice Workbook 10-3, 11-1 to 11-5; Reading and Math Literacy 11A, 11B; Spanish Reading and Math Literacy 11A, 11B; Technology Activities 25; Hands-On Activities 26, 27; Basic Algebra Planning Guide 10-3, 11-1 to 11-5; Transparencies [Check Skills You ll Need 10-3, 11-1 to 11-5; Additional Examples 10-3, 11-1 to 11-5; Student Edition Answers 10-3, 11-1 to 11-5; Lesson Quiz 10-3, 11-1 to 11-5]; PH Presentation Pro CD 10-3, 11-1 to 11-5 Puzzles pp. 90, 91, 94; Graphing Calculator, procedure 19; Self-grading Lesson Quiz]; Teacher Center [Lesson SE/TE: , , , , , 606, , , , 660, 661, 666, TR: Practice, Reteaching, Enrichment 11-2, 11-3, 11-5; Practice Workbook 11-2, 11-3, 11-5; Spanish Practice Workbook 11-2, 11-3, 11-5; Reading and Math Literacy 11B; Spanish Reading and Math Literacy 11B; Technology Activities 25; Hands-On Activities 26, 27; Basic Algebra Planning Guide 11-2, 11-3, 11-5; Transparencies [Check Skills You ll Need 11-2, 11-3, 11-5; Additional Examples 11-2, 11-3, 11-5; Student Edition Answers 11-2, 11-3, 11-5; Lesson Quiz 11-2, 11-3, 11-5]; PH Presentation Pro CD 11-2, 11-3,

14 Using rational and irrational expressions to solve application-based problems Puzzles pp. 94; Graphing Calculator, procedure 19; Self-grading Lesson Quiz]; Teacher Center [Lesson Determining when an expression is undefined Exponentials and Other Non-Linear Functions (5 weeks) Solving simple exponential equations Applying real-world problems and making predictions using exponential models Using technology such as a graphing calculator to represent and analyze non-linear functions and their graphs. SE/TE: , , 461, 558, 709 TR: Practice, Reteaching, Enrichment 8-8; Practice Workbook 8-8; Spanish Practice Workbook 8-8; Technology Activities 8; Hands-On Activities 19; Basic Algebra Planning Guide 8-8; Transparencies [Check Skills You ll Need 8-8; Additional Examples 8-8; Student Edition Answers 8-8; Lesson Quiz 8-8]; PH Presentation Pro CD 8-8 [Teacher Web Code: aek-5500; Self-grading SE/TE: TR: Practice, Reteaching, Enrichment 12-2; Practice Workbook 12-2; Spanish Practice Workbook 12-2; Technology Activities 26; Basic Algebra Planning Guide 12-2; Transparencies [Check Skills You ll Need 12-2; Additional Examples 12-2; Student Edition Answers 12-2; Lesson Quiz 12-2]; PH Presentation Pro CD 12-2 [Teacher Web Code: aek-5500; Self-grading Reference: 14

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