Grade 8 Math Curriculum Alignment with State Standards s1

Grade 8 Math Curriculum Alignment with State Standards NM Statute 22-13-1.6.A. Each school district shall align its curricula to meet the state standards for each grade level and subject area so that students who transfer between public schools within the school district receive the same educational opportunity within the same grade or subject area.

District: Textbook: Connected Math 2

5-8 Benchmark N.1: Understand numbers, ways of Strand: NUMBER AND Standard: Students will understand numerical representing numbers, relationships among numbers, and OPERATIONS concepts and mathematical operations. number systems.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.N.1.1 Sort numbers by their This standard is addressed in the properties (e.g., prime, composite, CMP2 Grade 6 Unit, Prime Time square, square root). (SE: 10, 15–16; TG: 21–24, 31– 32). 8.N.1.2 Demonstrate the magnitude SE: Growing, Growing, Growing Investigation 1: of rational numbers (e.g., trillions to Exponential Growth (7–10, 17–18) millions). TG: Growing, Growing, Growing Investigation 1: Exponential Growth (25–38, 42–43) TR: Growing, Growing, Growing Transparencies 1.2A–B, 1.3A–B, 1.4; Labsheet 1.2; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 1 Grade 8 Math Curriculum Alignment with State Standards

Strand: NUMBER AND Standard: Students will understand numerical 5-8 Benchmark N.2: Understand the meaning of operations OPERATIONS concepts and mathematical operations. and how they relate to one another.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.N.2.1 Use real number properties This standard is addressed in the (e.g., commutative, associative, CMP2 Grade 7 Unit, Accentuate distributive) to perform various the Negative. computational procedures. 8.N.2.2 Perform arithmetic This standard is addressed in the CMP2 Grade 7 Unit, operations and their inverses (e.g., Accentuate the Negative (SE: 28–29, 47–48; TG: 45– addition/subtraction, 48, 73–76) multiplication/division, square roots SE: Looking for Pythagoras Investigation 2: Squaring of perfect squares, cube roots of Off (20–21, 24) perfect cubes) on real numbers. TG: Looking For Pythagoras Investigation 2: Squaring Off (39–42, 47–50) TR: Looking For Pythagoras Transparencies 2.2; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.N.2.3 Find roots of real numbers SE: Looking For Pythagoras Investigation 2: Squaring using calculators. Off (20–21, ACE exercises) TG: Looking For Pythagoras Investigation 2: Squaring Off (39–42, 47–50) TR: Looking For Pythagoras Transparencies 2.2; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

Strand: NUMBER AND Standard: Students will understand numerical 5-8 Benchmark N.3: Compute fluently and make OPERATIONS concepts and mathematical operations. reasonable estimates.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.N.3.1 Formulate algebraic SE: Thinking With Mathematical Models Investigation expressions that include real 2: Linear Models and Equations (30–31), Say It With numbers to describe and solve real- Symbols Investigation 3: Solving Equations (38–39, world problems. 45–49), Investigation 4: Looking Back at Functions (56–57, 60–62) TG: Thinking With Mathematical Models Investigation 2: Linear Models and Equations (47–50), Say It With Symbols Investigation 3: Solving Equations (65–72, 85–89), Investigation 4: Looking Back at Functions (94–96, 107–109) TR: Thinking With Mathematical Models Transparency 2.3; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources; Say It With Symbols Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.N.3.2 Use a variety of This standard is addressed in the computational methods to estimate CMP2 Grade 6 Unit Bits and quantities involving real numbers. Pieces II (SE: 5–11, TG: 20– 32). 8.N.3.3 Differentiate between SE: Looking for Pythagoras Investigation 4: Using the rational and irrational numbers. Pythagorean Theorem (48) TG: Looking for Pythagoras Investigation 4: Using the Pythagorean Theorem (74–78) TR: Looking for Pythagoras Transparency 4.1; Labsheet 4.1; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 3 8.N.3.4 Use real number properties SE: Say It With Symbols Investigation 1: Equivalent to perform various computational Expressions (9–21), Investigation 2: Combining procedures and explain how they Expressions (31), Investigation 3: Solving Equations were used. (37–38) TG: Say It With Symbols Investigation 1: Equivalent Expressions (29–42), Investigation 2: Combining Expressions (58–59), Investigation 3: Solving Equations (65–68) TR: Say It With Symbols Transparencies 1.3, 1.4; Labsheet 1.3; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.N.3.5 Perform and explain SE: Thinking With Mathematical Models Investigation computations with rational numbers, 1: Exploring Data Patterns (19), Investigation 2: Linear pi, and first-degree algebraic Models and Equations (26, 31, 38, 43–44) Growing, expressions in one variable in a Growing, Growing Investigation 1: Exponential Growth variety of situations. (6, 18) Say It With Symbols Investigation 1: Equivalent Expressions (7, 9–16, 18, 20–21), Investigation 2: Combining Expressions (24–25, 31), Investigation 3: Solving Equations (37–38, 46, 49) The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (26–27), Investigation 3: Equations With Two or More Variables (39–40) TG: Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (35), Investigation 2: Linear Models and Equations (38–42, 47–50, 58–59) Growing, Growing, Growing Investigation 1: Exponential Growth (28–30, 43) Say It With Symbols Investigation 1: Equivalent Expressions (25–28, 33–42), Investigation 2: Combining Expressions (45–52, 58–59), Investigation 3: Solving Equations (65–68, 85, 88–89) The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (43–46), Investigation 3: Equations With Two or More Variables (61–64 Assessment; Spanish Assessment Resources Thinking With Mathematical Models Transparencies 2.1A–B, 2.3; Growing, Growing, Growing Transparencies 1.2A–B, 1.4; Labsheet 1.2; Say It With Symbols Transparencies 1.2, 1.4; The Shapes of Algebra Transparencies 2.2, 3.2A–B TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 4 8.N.3.6 Select and use appropriate This standard is addressed in the forms of rational numbers to solve CMP2 Grade 7 Unit, real-world problems including those Comparing and Scaling. involving proportional relationships. 8.N.3.7 Approximate, mentally and SE: Looking for Pythagoras Investigation 4: Using the with calculators, the value of Pythagorean Theorem (47–48) irrational numbers as they arise TG: Looking for Pythagoras Investigation 4: Using the from problem situations. Pythagorean Theorem (74–78) TR: Looking for Pythagoras Transparency 4.1; Labsheet 4.1; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.N.3.8 Express numbers in SE: Growing, Growing, Growing Investigation 1: scientific notation (including Exponential Growth (17) negative exponents) in appropriate TG: Growing, Growing, Growing Investigation 1: problem situations using a Exponential Growth (42) calculator. 8.N.3.9 Estimate answers and use SE: Looking for Pythagoras Investigation 1: formulas to solve application Coordinate Grids (11, 13–14, 16–17), Investigation 2: problems involving surface area and Squaring Off (20–23, 28–29), Investigation 3: The volume. Pythagorean Theorem (32, 40–42), Investigation 4: Using the Pythagorean Theorem (52, 58–59, 61, 63), Looking Back and Looking Ahead (65–66) TE: Looking for Pythagoras Investigation 1: Coordinate Grids (27–33), Investigation 2: Squaring Off (39–46, 49–50), Investigation 3: The Pythagorean Theorem (52–56, 69–70), Investigation 4: Using the Pythagorean Theorem (87–90, 93–96), Looking Back and Looking Ahead (96–97) TR: Looking for Pythagoras Transparencies 1.3, 2.2, 2.3, 4.4; Labsheets 1.3, 2.3, 4.4; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

5-8 Benchmark A.1: Understand patterns, relations, and Strand: ALGEBRA Standard: Students will understand algebraic concepts and applications. functions.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.A.1.1 Move between numerical, This standard is covered throughout the investigations tabular, and graphical and ACE exercises in Thinking With Mathematical representations of linear Models. relationships. TR: Thinking With Mathematical Models Transparencies; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.A.1.2 Use variables to generalize SE: Thinking With Mathematical Models Investigation patterns and information presented 2: Linear Models and Equations (28–29, ACE in tables, charts, and graphs: exercises) a. graph linear functions noting that TG: Thinking With Mathematical Models Investigation the vertical change per unit of 2: Linear Models and Equations (43–46, 55–60) horizontal change (the slope of the TR: Thinking With Mathematical Models graph) is always the same Transparencies 2.2A–B; Labsheets; Additional b. plot the values of quantities Practice; Notebook Check; Self–Assessment; Spanish whose ratios are always the same, Assessment Resources fit a line to the plot, and understand TECH: Calculators; Student Activity CD–ROM; that the slope of the line equals the PHSchool.com Web Code apk–5500; LessonLab quantities Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

5-8 Benchmark A.2: Represent and analyze mathematical Strand: ALGEBRA Standard: Students will understand algebraic concepts and applications. situations and structures using algebraic symbols.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.A.2.1 Demonstrate the difference The foundation of this skill can be practiced here as between an equation and an students write equations from expressions: expression. SE: Say It With Symbols Investigation 1: Equivalent Expressions (6, 14) TG: Say It With Symbols Investigation 1: Equivalent Expressions (20–24, 38) TR: Say It With Symbols Transparency 1.1; Labsheet 1.1; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.A.2.2 Solve two-step linear SE: The Shapes of Algebra Investigation 2: Linear equations and inequalities in one Equations and Inequalities (26–29, ACE exercises) Say variable with rational solutions. It With Symbols Investigation 3: Solving Equations (37–39, ACE exercises) TG: The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (43–54) Say It With Symbols Investigation 3: Solving Equations (65–72, 85–92) TR: The Shapes of Algebra Transparencies 2.2, 2.3A– B; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources Say It With Symbols Transparencies; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 7 8.A.2.3 Evaluate formulas using SE: Looking for Pythagoras Investigation 3: The substitution. Pythagorean Theorem (37, 40) TG: Looking for Pythagoras Investigation 3: The Pythagorean Theorem (65–68, 70) TR: Looking for Pythagoras Transparency 3.4; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.A.2.4 Demonstrate understanding This standard is addressed in the of the relationships between ratios, CMP2 Grade 7 Unit, Comparing proportions, and percents and solve and Scaling. for a missing term in a proportion. 8.A.2.5 Graph solution sets of With Two or More Variables (38, ACE exercises) linear equations in two variables on TG: The Shapes of Algebra Investigation 3: Equations the coordinate plane. With Two or More Variables (56–60, 69–74) TR: The Shapes of Algebra Transparencies 3.1A–C; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.A.2.6 Formulate and solve SE: Thinking With Mathematical Models Investigation problems involving simple linear 2: Linear Models and Equations (24–26, 30–31, ACE relationships, find percents of a exercises) Say It With Symbols Investigation 2: given number, variable situations, Combining Expressions (24–27, ACE exercises) TG: Thinking With Mathematical Models Investigation and unknown quantities. 2: Linear Models and Equations (38–42, 47–50, 55–60) Say It With Symbols Investigation 2: Combining Expressions (49–62) TR: Thinking With Mathematical Models Transparencies 2.1A–B, 2.3; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources Say It With Symbols Transparencies; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 8 8.A.2.7 Use symbols, variables, SE: The Shapes of Algebra Investigation 2: Linear expressions, inequalities, equations, Equations and Inequalities (24–25, ACE exercises), and simple systems of equations to Investigation 3: Equations With Two or More Variables represent problem situations that (40–41, ACE exercises), Investigation 4: Solving involve variables or unknown Systems of Linear Equations Symbolically (53–58, quantities. ACE exercises) Say It With Symbols Investigation 1: Equivalent Expressions (5–7, ACE exercises), Investigation 2: Combining Expressions (23–24, 26–27, ACE exercises), Looking Back and Looking Ahead (87–88) TG: The Shapes of Algebra Investigation 2: Linear Equations and Inequalities (38–42, 51–54), Investigation 3: Equations With Two or More Variables (65–74), Investigation 4: Solving Systems of Linear Equations Symbolically (76–98) Say It With Symbols Investigation 1: Equivalent Expressions (20–28, 37– 43), Investigation 2: Combining Expressions (45–48, 53–62), Looking Back and Looking Ahead (132) TR: The Shapes of Algebra Transparencies 2.1A–B, 3.3, 4.1A–B, 4.2, 4.3; Labsheets 3.3; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources Say It With Symbols Transparencies 1.1, 1.2; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

5-8 Benchmark A.3: Use mathematical models to represent Strand: ALGEBRA Standard: Students will understand algebraic concepts and applications. and understand quantitative relationships.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.A.3.1 Generate different SE: Growing, Growing, Growing Investigation 1: representations to model a specific Exponential Growth (10, ACE exercises), Investigation numerical relationship given one 4: Exponential Decay (48–49, ACE exercises) representation of data (e.g., a table, Thinking With Mathematical Models Investigation 1: a graph, an equation, a verbal Exploring Data Patterns (10–11, ACE exercises) description). Frogs, Fleas, and Painted Cubes Investigation 3: Quadratic Patterns of Change (40–41, ACE exercises) TG: Growing, Growing, Growing Investigation 1: Exponential Growth (35–43), Investigation 4: Exponential Decay (81–84, 93–97) Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (25–36) Frogs, Fleas, and Painted Cubes Investigation 3: Quadratic Patterns of Change (89–94, 107–114) TR: Growing, Growing, Growing Transparencies 1.4, 4.1; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources Thinking With Mathematical Models Transparencies 1.3; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources Frogs, Fleas, and Painted Cubes Transparencies 3.1; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 10 Grade 8 Math Curriculum Alignment with State Standards District: Textbook: Connected Math 2

Strand: ALGEBRA Standard: Students will understand algebraic 5-8 Benchmark A.4: Analyze changes in various contexts. concepts and applications.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.A.4.1 Use graphs, tables, and SE: Growing, Growing, Growing Investigation 4: algebraic representations to make Exponential Decay (49–51, ACE exercises), predictions and solve problems that Investigation involve change. 5: Patterns With Exponents (60–61) Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (6–9, ACE exercises), Looking Back and Looking Ahead (62–63) Frogs, Fleas, and Painted Cubes Investigation 4: What Is a Quadratic Function? (56, ACE exercises) Say It With Symbols Investigation 4: Looking Back at Functions (56–57, ACE exercises) TG: Growing, Growing, Growing Investigation 4: Exponential Decay (85–88, 93–97), Investigation 5: Patterns With Exponents (99–104, 113–116) Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (16–24, 31–36), Looking Back and Looking Ahead (80–81) Frogs, Fleas, and Painted Cubes Investigation 4: What Is a Quadratic Function? (117–120, 145–157) Say It With Symbols Investigation 4: Looking Back at Functions (94–96, 107–114) TR: Growing, Growing, Growing Transparencies 4.2, 5.1A–B; Labsheets 5.1; Thinking With Mathematical Models Transparencies 1.1; Frogs, Fleas, and Painted Cubes Transparencies 4.1; Labsheets; Say It With Symbols Transparencies; All Units Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 11 8.A.4.2 Estimate, find, and justify SE: Growing, Growing, Growing Investigation 1: solutions to problems that involve Exponential Growth (8–9, ACE exercises), Investigation 2: change using tables, graphs, and Examining Growth Patterns (20–21, 23, ACE exercises), algebraic expressions. Investigation 3: Growth Factors and Growth Rates (33–34, ACE exercises) Thinking With Mathematical Models Investigation 3: Inverse Variation (47–52, ACE exercises) TG: Growing, Growing, Growing Investigation 1: Exponential Growth (25–30, 39–43), Investigation 2: Examining Growth Patterns (45–48, 53–60), Investigation 3: Growth Factors and Growth Rates (62–66, 75–79) Thinking With Mathematical Models Investigation 3: Inverse Variation (62–80) TR: Growing, Growing, Growing Transparencies 1.3A– B, 2.1, 2.3; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources Thinking With Mathematical Models Transparencies 3.1A–B, 3.2A–B; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.A.4.3 Use appropriate problem- SE: Growing, Growing, Growing Investigation 4: solving strategies (e.g., drawing a Exponential Decay (51–52, ACE exercises) picture, looking for a pattern, TG: Growing, Growing, Growing Investigation 4: systematic guessing and checking, Exponential Decay (89–97) TR: Growing, Growing, Growing Transparencies; acting it out, making a table or Labsheets; Additional Practice; Notebook Check; Self– graph, working a simpler problem, Assessment; Spanish Assessment Resources writing an algebraic expression or TECH: Calculators; Student Activity CD–ROM; working backward) to solve PHSchool.com Web Code apk–5500; LessonLab Online problems that involve change. Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.A.4.4 Solve multi-step problems SE: Thinking With Mathematical Models Investigation that involve changes in rate, 3: Inverse Variation (49–51, ACE exercises) TG: Thinking average speed, distance, and time. With Mathematical Models Investigation 3: Inverse Variation (67–70, 75–80) TR: Thinking With Mathematical Models Transparencies 3.2A–B; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 12 8.A.4.5 Analyze problems that SE: Thinking With Mathematical Models Investigation involve change by identifying 3: Inverse Variation (49–51, ACE exercises) relationships, distinguishing relevant TG: Thinking With Mathematical Models Investigation from irrelevant information, 3: Inverse Variation (67–70, 75–80) identifying missing information, TR: Thinking With Mathematical Models sequencing, and observing patterns. Transparencies 3.2A–B; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.A.4.6 Generalize a pattern of SE: Growing, Growing, Growing Investigation 1: change using algebra and show the Exponential Growth (6–7, ACE exercises) Frogs, relationship among the equation, Fleas, and Painted Cubes Investigation 3: Quadratic graph, and table of values. Patterns of Change (43, ACE exercises) Say It With Symbols Investigation 4: Looking Back at Functions (57–58, ACE exercises), Looking Back and Looking Ahead (87–88) TG: Growing, Growing, Growing Investigation 1: Exponential Growth (25–30, 39–43) Frogs, Fleas, and Painted Cubes Investigation 3: Quadratic Patterns of Change (101–114) Say It With Symbols Investigation 4: Looking Back at Functions (97–101, 107–114), Looking Back and Looking Ahead (132) TR: Growing, Growing, Growing Transparencies 1.2A–B; Labsheets 1.2; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources Frogs, Fleas, and Painted Cubes Transparencies; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources Say It With Symbols Transparencies; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 13 8.A.4.7 Recognize the same 1: Exploring Data Patterns (7, 9, 11), Investigation 2: general pattern of change presented Linear Models and Equations (28–29, 33–34, 37), in different representations. Investigation 3: Inverse Variation (48–57, 60), Looking Back and Looking Ahead (62–63) TG: Thinking With Mathematical Models Investigation 1: Exploring Data Patterns (16–29), Investigation 2: Linear Models and Equations (43–46, 55–56), Investigation 3: Inverse Variation (62–79), Looking Back and Looking Ahead (80–81) TR: Thinking With Mathematical Models Transparencies 1.1, 1.3, 2.2A–B, 3.1A–B, 3.2A–B; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

5-8 Benchmark G.1: Analyze characteristics and Standard: Students will understand geometric properties of two- and three-dimensional geometric Strand: GEOMETRY concepts and applications. shapes and develop mathematics arguments about geometric relationships.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.G.1.1 Recognize, classify, and SE: Looking for Pythagoras Investigation 1: discuss properties of all geometric Coordinate Grids (8) figures including point, line, and TG: Looking for Pythagoras Investigation 1: plane. Coordinate Grids (17–22) TR: Looking for Pythagoras Transparencies 1.1A–B; Labsheet 1.1; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM This standard is addressed further in the CMP2 Grade 6 Unit Shapes and Designs Investigation 2 (SE: 38–39, TE: 53–56) SE: Looking For Pythagoras Investigation 3: The Pythagorean Theorem (31–37, ACE exercises), Investigation 4: Using the Pythagorean Theorem (46– 49, ACE exercises), Looking Back and Looking Ahead (65–67) TG: Looking For Pythagoras Investigation 3: The Pythagorean Theorem (52–72), Investigation 4: Using the Pythagorean Theorem (74–82, 91–96), Looking Back and Looking Ahead (96–97) TR: Looking For Pythagoras Transparencies 3.2, 3.3, 3.4, 4.1, 4.2; Labsheets 3.2A–C, 3.3, 4.1; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.G.1.2 Identify arc, chord, and http://www.mathwarehouse. semicircle and explain their com/geometry/circle/chord-of- attributes. circle.php http://www.1728.com/circsect. htm SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 15 8.G.1.3 Use the Pythagorean SE: Looking For Pythagoras Investigation 3: The theorem and its converse to find Pythagorean Theorem (31–37, ACE exercises), the missing side of a right triangle Investigation 4: Using the Pythagorean Theorem (46– and the lengths of the other line 49, ACE exercises), Looking Back and Looking Ahead segments. (65–67) TG: Looking For Pythagoras Investigation 3: The Pythagorean Theorem (52–72), Investigation 4: Using the Pythagorean Theorem (74–82, 91–96), Looking Back and Looking Ahead (96–97) TR: Looking For Pythagoras Transparencies 3.2, 3.3, 3.4, 4.1, 4.2; Labsheets 3.2A–C, 3.3, 4.1; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

5-8 Benchmark G.2: Specify locations and describe spatial Standard: Students will understand geometric Strand: GEOMETRY relationships using coordinate geometry and other concepts and applications. representational systems.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.G.2.1 Represent, formulate, and SE: The Shapes of Algebra Investigation 1: Equations solve distance and geometry for Circles and Polygons (6–11, ACE exercises) problems using the language and TG: The Shapes of Algebra Investigation 1: Equations symbols of algebra and the for Circles and Polygons (18–36) coordinate plane and space (e.g., TR: The Shapes of Algebra Transparencies 1.1A–C, ordered triplets). 1.2A–B, 1.3A–B; Labsheets 1.2; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

5-8 Benchmark G.3: Apply transformations and use Strand: GEOMETRY Standard: Students will understand geometric concepts and applications. symmetry to analyze mathematical situations.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.G.3.1 Describe the symmetry of Examples of symmetry of real–world objects can be three-dimensional figures. found in: SE: Kaleidoscopes, Hubcaps, and Mirrors Investigation 1: Three Types of Symmetry (8–9, 17) TG: Kaleidoscopes, Hubcaps, and Mirrors Investigation 1: Three Types of Symmetry (23–26, 36) TR: Kaleidoscopes, Hubcaps, and Mirrors Transparency 1.2; Labsheet 1.2; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 8.G.3.2 Describe and perform SE: Kaleidoscopes, Hubcaps, and Mirrors single and multiple transformations Investigation 2: Symmetry Transformations (27–35, that include rotation, reflection, ACE exercises), Investigation 5: Transforming translation, and dilation (i.e., shrink Coordinates (79–87, ACE exercises) or magnify) to two-dimensional TG: Kaleidoscopes, Hubcaps, and Mirrors figures. Investigation 2: Symmetry Transformations (45–73), Investigation 5:Transforming Coordinates (113–134) TR: Kaleidoscopes, Hubcaps, and Mirrors Transparencies 2.1A–B, 2.2A–B, 2.3A–B, 2.4A–B, 5.1A–C, 5.2A–B, 5.3A–B, 5.4; Labsheets 2.1A–C, 2.2A–B, 2.3A–B, 2.4A–B, 5.1A–B, 5.2A–C, 5.3, 5.4; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

5-8 Benchmark G.4: Use visualization, spatial reasoning, Strand: GEOMETRY Standard: Students will understand geometric concepts and applications. and geometric modeling to solve problems.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.G.4.1 Understand angle This standard is addressed in the relationships formed by parallel CMP2 Grade 6 Unit Shapes and lines cut by a transversal. Design, Investigation 2 (SE: 38– 39, TE: 53–56) 8.G.4.2 Recognize and apply SE: Kaleidoscopes, Hubcaps, and Mirrors properties of corresponding parts of Investigation 3: Exploring Congruence (48–55, ACE similar and congruent triangles and exercises) Looking For Pythagoras Investigation 4: quadrilaterals. Using the Pythagorean Theorem (50–51, ACE exercises) TG: Kaleidoscopes, Hubcaps, and Mirrors Investigation 3: Exploring Congruence (76–96) Looking For Pythagoras Investigation 4: Using the Pythagorean Theorem (83–86, 91–96) TR: Kaleidoscopes, Hubcaps, and Mirrors Transparencies 3.1A–B, 3.2, 3.3A–B, 3.4; Labsheets 3.1, 3.2, 3.3, 3.4A–B; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources Looking For Pythagoras Transparencies 4.3; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.G.4.3 Represent and solve SE: Looking for Pythagoras Investigation 1: problems relating to size, shape, Coordinate Grids (11, 13–14, 16–17), Investigation 2: area, and volume using geometric Squaring Off (20–23, 28–29), Investigation 3: The models. Pythagorean Theorem (32, 40–42), Investigation 4: Using the Pythagorean Theorem (52, 58–59, 61, 63), Looking Back and Looking Ahead (65–66) TG: Looking for Pythagoras Investigation 1: Coordinate Grids (27–33), Investigation 2: Squaring Off (39–46, 49–50), Investigation 3: The Pythagorean Theorem (52–56, 69–70), Investigation 4: Using the Pythagorean Theorem (87–90, 93–96), Looking Back and Looking Ahead (96–97) SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 19 TR: Looking for Pythagoras Transparencies 1.3, 2.2, 2.3, 4.4; Labsheets 1.3, 2.3, 4.4; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–RO 8.G.4.4 Develop and use formulas SE: Looking For Pythagoras Investigation 4: Using the for area, perimeter, circumference, Pythagorean Theorem (52, ACE exercises) and volume. TG: Looking For Pythagoras Investigation 4: Using the Pythagorean Theorem (87–96) TR: Looking For Pythagoras Transparencies 4.4; Labsheets 4.4; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.G.4.5 Construct two-dimensional SE: Kaleidoscopes, Hubcaps, and Mirrors patterns for three-dimensional Investigation 1: Three Types of Symmetry (22) models (e.g., cylinders, prisms, Looking for Pythagoras Investigation 4: Using the cones). Pythagorean Theorem (58, 63), Frogs, Fleas, and Painted Cubes Investigation 4: What Is a Quadratic Function? (72–73) TG: Kaleidoscopes, Hubcaps, and Mirrors Investigation 1: Three Types of Symmetry (40) Looking for Pythagoras Investigation 4: Using the Pythagorean Theorem (94, 96) Frogs, Fleas, and Painted Cubes Investigation 4: What Is a Quadratic Function? (153) TR: Kaleidoscopes, Hubcaps, and Mirrors; Looking For Pythagoras; Frogs, Fleas, and Painted Cubes Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

5-8 Benchmark M.1: Understand measurable attributes of Standard: Students will understand measurement Strand: MEASUREMENT objects and the units, systems, and processes of systems and applications. measurement.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.M.1.1 Understand the concept of SE: Looking for Pythagoras Investigation 3: The volume and use the appropriate Pythagorean Theorem (40, 42), Investigation 4: Using units in common measuring the Pythagorean Theorem (63) systems (e.g., cubic centimeter, TG: Looking for Pythagoras Investigation 3: The cubic inch, cubic yard) to compute Pythagorean Theorem (69–70), Investigation 4: Using the volume of rectangular solids. the Pythagorean Theorem (96) TR: Looking for Pythagoras Transparencies 1.3, 2.2, 2.3, 4.4; Labsheets 1.3, 2.3, 4.4; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.M.1.2 Use changes in This standard is addressed in the measurement units (e.g., square CMP2 Grade 6 Unit, Covering inches, cubic feet) to perform and Surrounding Investigation 1 conversions from one-, two-, and (SE: 15–17, TG: 35–36) three-dimensional shapes.

5-8 Benchmark M.2: Apply appropriate techniques, tools, Strand: MEASUREMENT Standard: Students will understand measurement systems and applications. and formulas to determine measurements.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.M.2.1 Use ratios and proportions This standard is addressed in the to measure hard-to-measure CMP2 Grade 7 Unit, Stretching objects. and Shrinking. 8.M.2.2 Use estimation to solve Coordinate Grids (11, ACE exercises) problems. TG: Looking For Pythagoras Investigation 1: Coordinate Grids (27–33) TR: Looking For Pythagoras Transparencies 1.3; Labsheets 1.3; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.M.2.3 Use proportional SE: Kaleidoscopes, Hubcaps, and Mirrors relationships in similar shapes to Investigation 4: Applying Congruence and Symmetry find missing measurements. (65–67, ACE exercises) TG: Kaleidoscopes, Hubcaps, and Mirrors Investigation 4: Applying Congruence and Symmetry (99–102, 109–111) TR: Kaleidoscopes, Hubcaps, and Mirrors Transparencies 4.1; Labsheets 4.1; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.M.2.4 Apply strategies to SE: Looking for Pythagoras Investigation 3: The determine the surface area and Pythagorean Theorem (40, 42), Investigation 4: Using volume of prisms, pyramids, and the Pythagorean Theorem (63) cylinders. TG: Looking for Pythagoras Investigation 3: The Pythagorean Theorem (69–70), Investigation 4: Using the Pythagorean Theorem (96) TR: Looking for Pythagoras Transparencies 1.3, 2.2, SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 22 2.3, 4.4; Labsheets 1.3, 2.3, 4.4; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.M.2.5 Perform conversions with http://www.sciencemadesimple. multiple terms between metric and com/conversions.html U.S. standard measurement balancedassessment.concord. systems. org/ PEN PALS http://www.easysurf.cc/menumt. htm

8.M.2.6 Estimate volume in cubic Pythagorean Theorem (40, 42), Investigation 4: Using units. the Pythagorean Theorem (63) TG: Looking for Pythagoras Investigation 3: The Pythagorean Theorem (69–70), Investigation 4: Using the Pythagorean Theorem (96) TR: Looking for Pythagoras Transparencies 1.3, 2.2, 2.3, 4.4; Labsheets 1.3, 2.3, 4.4; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.M.2.7 Solve simple problems SE: Thinking With Mathematical Models Investigation involving rates and derived 3: Inverse Variation (50–51) measurements for such properties TG: Thinking With Mathematical Models Investigation as velocity and density. 3: Inverse Variation (67–70) TR: Thinking With Mathematical Models Transparencies 3.2A–B; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

Standard: Students will understand how to 5-8 Benchmark D.1: Formulate questions that can be Strand: DATA ANALYSIS AND formulate questions, analyze data, and determine addressed with data and collect, organize, and display PROBABILITY probabilities. relevant data to answer them.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.D.1.1 Represent two numerical SE: Samples and Populations Investigation 4: Relating variables on a plot, describe how Two Variables (62, ACE exercises) the data points are distributed, and TG: Samples and Populations Investigation 4: Relating identify relationships that exist Two Variables (96–98, 107–109) between the two variables. TR: Samples and Populations Transparencies 4.1; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 8.D.1.2 Generate, organize, and SE: Samples and Populations Investigation 2: Choosing interpret real numbers in a variety of a Sample From a Population (31–33, ACE exercises) situations. TG: Samples and Populations Investigation 2: Choosing a Sample From a Population (63–66, 71–74) TR: Samples and Populations Transparencies 2.3A–B; Labsheets 2.3A–C; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 8.D.1.3 Organize, analyze, and SE: Samples and Populations Investigation 1: display appropriate quantitative and Comparing Data Sets (10–11, ACE exercises) qualitative data to address specific TG: Samples and Populations Investigation 1: questions including: Comparing Data Sets (25–30, 47–51) a. frequency distributions TR: Samples and Populations Transparencies 1.2A–B; b. plots Labsheets; Additional Practice; Notebook Check; Self– c. histograms Assessment; Spanish Assessment Resources d, bar, line and pie graphs TECH: Calculators; Student Activity CD–ROM; e. diagram and pictorial displays PHSchool.com Web Code apk–5500; LessonLab Online f. charts and tables Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 24 8.D.1.4 Select the appropriate This standard is addressed in the measure of central tendency to CMP2 Grade 7 Unit, Data describe a set of data for a Distributions. particular problem situation. 8.D.1.5 Simulate an event selecting SE: Samples and Populations Investigation 3: Solving and using different models. Real–World Problems (51–53, 60), Unit Project (81– 82) TG: Samples and Populations Investigation 3: Solving Real–World Problems (83–89, 93–94), Unit Project (111–112) TR: Samples and Populations Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.D.1.6 Develop an appropriate SE: Samples and Populations Investigation 3: Solving strategy using a variety of data from Real–World Problems (47–50, ACE exercises) surveys, samplings, estimations, TG: Samples and Populations Investigation 3: Solving and inferences to address a specific Real–World Problems (77–82, 91–94) problem. TR: Samples and Populations Transparencies 3.1A–F; Labsheets 3.1A–D; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

Standard: Students will understand how to Strand: DATA ANALYSIS AND 5-8 Benchmark D.2: Select and use appropriate statistical formulate questions, analyze data, and determine PROBABILITY methods to analyze data. probabilities.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.D.2.1 Use changes in scales, balancedassessment.concord. intervals, or categories to help org/ Grading the Graphics support a particular interpretation balancedassessment.concord. of data. org/ Produce Stand 8.D.2.2 Generate, organize, and SE: Samples and Populations Investigation 2: interpret real number and other Choosing data in a variety of situations. a Sample From a Population (31–33, ACE exercises) TG: Samples and Populations Investigation 2: Choosing a Sample From a Population (63–66, 71–74) TR: Samples and Populations Transparencies 2.3A–B; Labsheets 2.3A–C; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.D.2.3 Analyze data to make SE: Samples and Populations Investigation 1: decisions and to develop Comparing Data Sets (16, ACE exercises), convincing arguments from data Investigation 3: Solving Real–World Problems (47–50, displayed in a variety of formats ACE exercises), Investigation 4: Relating Two including: Variables (66–68, ACE exercises) a. plots TG: Samples and Populations Investigation 1: b. distributions Comparing Data Sets (39–51), Investigation 3: Solving c. graphs Real–World Problems (77–82, 91–94), Investigation 4: d. scatter plots Relating Two Variables (103–109) TR: Samples and Populations Transparencies 1.4A–D, e. diagrams 3.1A–F, 4.3; Labsheets 3.1A–D; Additional Practice; f. pictorial displays Notebook Check; Self–Assessment; Spanish g, charts and tables Assessment Resources h, Venn diagrams TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 26 8.D.2.4 Interpret and analyze data SE: Samples and Populations Investigation 1: from graphical representations and Comparing Data Sets (6–9, ACE exercises), draw simple conclusions (e.g., line Investigation 4: Relating Two Variables (63–65, ACE of best fit). exercises) TG: Samples and Populations Investigation 1: Comparing Data Sets (20–24, 47–51), Investigation 4: Relating Two Variables (99–102, 107–109) TR: Samples and Populations Transparencies 1.1A–D, 4.2A–B; Labsheets 1.1, 4.2; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.D.2.5 Evaluate and defend the balancedassessment.concord.or reasonableness of conclusions g/ Who's Left drawn from data analysis. www.easysurf.cc/menumt.htm 8.D.2.6 Use appropriate central SE: Samples and Populations Investigation 1: tendency and spread as a means Comparing Data Sets (12–15, ACE exercises), for effective decision-making in Investigation 2: Choosing a Sample From a Population analyzing data and outliers. (34–35, ACE exercises) TG: Samples and Populations Investigation 1: Comparing Data Sets (39–51), Investigation 2: : Choosing a Sample From a Population (67–74) TR: Samples and Populations Transparencies 1.3A–D; Labsheets 2.4A–D; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.D.2.7 Identify simple graphic SE: Samples and Populations Investigation 3: Solving misrepresentations and distortions Real–World Problems (57) of sets of data (e.g., unequal TG: Samples and Populations Investigation 3: Solving interval sizes, omission of parts of Real–World Problems (92) TR: Samples and Populations Additional Practice; axis range, scaling). Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 27 8.D.2.8 Use appropriate The introduction to Samples and Populations explains technology to display data as lists, that specific problems are not designated as tables, matrices, graphs, and plots “calculator” or technology problems because the use of and to analyze the relationships of such materials is encouraged throughout. These variables in the data displayed. activities can be completed either with pencil and paper or using appropriate technology. SE: Samples and Populations Investigation 1: Comparing Data Sets (16, ACE exercises), Investigation 3: Solving Real–World Problems (47–50, ACE exercises), Investigation 4: Relating Two Variables (66–68, ACE exercises) TG: Samples and Populations Investigation 1: Comparing Data Sets (39–51), Investigation 3: Solving Real–World Problems (77–82, 91–94), Investigation 4: Relating Two Variables (103–109) TR: Samples and Populations Transparencies 1.4A–D, 3.1A–F, 4.3; Labsheets 3.1A–D; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

Standard: Students will understand how to Strand: DATA ANALYSIS AND 5-8 Benchmark D.3: Develop and evaluate inferences and formulate questions, analyze data, and determine PROBABILITY predictions that are based on data. probabilities.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.D.3.1 Describe how changes in SE: Samples and Populations Investigation 3: Solving scale, intervals, or categories Real–World Problems (57) influence arguments for a particular TG: Samples and Populations Investigation 3: Solving interpretation of the data. Real–World Problems (92) TR: Samples and Populations Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.D.3.2 Describe how reader bias, balancedassessment.concord. measurement errors, and display org/ Grading the Graphics distortion can affect the interpretation of data, predictions, and inferences based on data. 8.D.3.3 Conduct simple SE: Samples and Populations Investigation 3: Solving experiments and/or simulations, Real–World Problems (51–53, ACE exercises) record results in charts, tables, or TG: Samples and Populations Investigation 3: Solving graphs, and use the results to draw Real–World Problems (83–94) conclusions and make predictions. TR: Samples and Populations Transparencies; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.D.3.4 Compare expected results This standard is addressed in the with experimental results and CMP2 Grade 7 Unit, What Do information used in predictions and You Expect? inferences.

Standard: Students will understand how to Strand: DATA ANALYSIS AND 5-8 Benchmark D.4: Understand and apply basic concepts formulate questions, analyze data, and determine PROBABILITY of probability. probabilities.

Grade 8 Performance Standards Grade 8 Textbook Pages Supplemental Materials Month(s) when Addressed 8.D.4.1 Calculate the odds of a This standard is addressed in the desired outcome in a simple CMP2 Grade 7 Unit, What Do experiment. You Expect? 8.D.4.2 Design and use an SE: Samples and Populations Investigation 3: Solving appropriate simulation to estimate Real–World Problems (57) the probability of a real-world event TG: Samples and Populations Investigation 3: Solving (e.g., disk toss, cube toss). Real–World Problems (92) TR: Samples and Populations Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code apk–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 8.D.4.3 Explain the relationship between probability and odds and calculate the odds of a desired outcome in a simple experiment. 8.D.4.4 Use theoretical or This standard is addressed in the experimental probability to make CMP2 Grade 7 Unit, What Do predictions about real-world events. You Expect? 8.D.4.5 Use probability to generate This standard is addressed in the convincing arguments, draw CMP2 Grade 7 Unit, What Do conclusions, and make decisions in You Expect? a variety of situations. 8.D.4.6 Understand that the This standard is addressed in the probability of two unrelated events CMP2 Grade 7 Unit, What Do occurring is the sum of the two You Expect? individual possibilities and that the probability of one event following another, in independent trials, is the product of the two probabilities.

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 30