Grade 7 Math Curriculum Alignment with State Standards

Grade 7 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

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

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.N.1.1 Determine the absolute value of SE: Accentuate the Negative Investigation 2: rational numbers. Adding and Subtracting Integers (26, 35, 39), Investigation 3: Multiplying and Dividing Integers (58), Investigation 4: Properties of Operations (72) TG: Accentuate the Negative Investigation 2: Adding and Subtracting Integers (41–44, 58–59, 61), Investigation 3: Multiplying and Dividing Integers (85), Investigation 4: Properties of Operations (100) TR: Accentuate the Negative Transparencies; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM

7.N.1.2 Illustrate the relationships among SE: Accentuate the Negative Investigation 1: natural (i.e., counting) numbers, whole Extending the Number System (6) TG: numbers, integers, rational and irrational Accentuate the Negative Investigation 1: numbers. Extending the Number System (13–16) TR: Accentuate the Negative Transparencies; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 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 7.N.1.3 Use properties of the real-number SE: Accentuate the Negative Investigation 4: system to explain reasoning and to Properties of Operations (66–67, ACE formulate and solve real-world problems. exercises) TG: Accentuate the Negative Investigation 4: Properties of Operations (95– 98, 99–101) TR: Accentuate the Negative Transparencies 4.3; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.N.1.4 Read, write, and compare rational This standard is addressed in CMP2 Grade 8 numbers in scientific notation (e.g., positive Unit, “Growing, Growing, Growing,” and negative powers of 10) with Investigation 1 (SE: 17; TG: 42) approximate numbers using scientific notation. 7.N.1.5 Simplify numerical expressions SE: Accentuate the Negative Investigation using order of operations. 4: Properties of Operations (60–63, ACE exercises) TG: Accentuate the Negative Investigation 4: Properties of Operations (87–90, 99–101) TR: Accentuate the Negative Transparencies 4.1A–B; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–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 2 Grade 7 Math Curriculum Alignment with State Standards

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

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.N.2.1 Add, subtract, multiply, and divide SE: Accentuate the Negative Investigation 2: rational numbers (e.g., integers, fractions, Adding and Subtracting Integers (22–29, ACE terminating decimals) and take positive exercises), Investigation 3: Multiplying and rational numbers to whole-number powers. Dividing Integers (44–48, ACE exercises), Investigation 4: Properties of Operations (60– 63, ACE exercises) TG: Accentuate the Negative Investigation 2: Adding and Subtracting Integers (37–48, 57–61), Investigation 3: Multiplying and Dividing Integers (63– 76, 81–85), Investigation 4: Properties of Operations (87–90, 99–101) TR: Accentuate the Negative Transparencies 2.1A– B, 2.2A–B, 2.3, 3.1, 3.2, 3.3A–B, 4.1A–B; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.N.2.2 Convert terminating decimals into This standard is addressed in the reduced fractions. CMP2 Grade 6 Unit, “Bits and Pieces III”.

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 3 7.N.2.3 Calculate given percentages of SE: Stretching and Shrinking Investigation 1: quantities and use them to solve problems Enlarging and Reducing Shapes (15–16) TG: (e.g., discounts of sales, interest earned, Stretching and Shrinking Investigation 1: tips, markups, commission, profit, simple Enlarging and Reducing Shapes (30) TR: interest). Stretching and Shrinking Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 7.N.2.4 Add and subtract fractions with TECH: Technology SE: Variables and Patterns unlike denominators. Investigation 3: Rules and Equations (60); Stretching and Shrinking Investigation 2: Similar Figures (34); Accentuate the Negative Investigation 2: Adding and Subtracting Integers (29); Filling and Wrapping Investigation 4: Cones, Spheres, and Pyramids (58); What Do You Expect? Investigation 1: Evaluating Games of Chance (14) TG: Variables and Patterns Investigation 3: Rules and Equations (84); Stretching and Shrinking Investigation 2: Similar Figures (52); Accentuate the Negative Investigation 2: Adding and Subtracting Integers (45–48); Filling and Wrapping Investigation 4: Cones, Spheres, and Pyramids (93); What Do You Expect? Investigation 1: Evaluating Games of Chance (34) TR: Variables and Patterns, Stretching and Shrinking, Filling and Wrapping, What Do You Expect? Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources; Accentuate the Negative Transparency 2.3; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessmen 7.N.2.5 Multiply, divide, and simplify This standard is addressed in the rational numbers by using exponent rules. CMP2 Grade 8 Unit, “Growing, Growing, Growing” Investigation 5 (SE: 62 TG: 105–108)

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 4 7.N.2.6 Understand the meaning of the SE: Accentuate the Negative Investigation 2: absolute value of a number: Adding and Subtracting Integers (26, 35, 39), Investigation 3: Multiplying and Dividing Integers (58), Investigation 4: Properties of Operations (72) TG: Accentuate the Negative Investigation 2: Adding and Subtracting Integers (41–44, 58–59, 61), Investigation 3: Multiplying and Dividing Integers (85), Investigation 4: Properties of Operations (100) TR: Accentuate the Negative Transparencies; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources a. interpret the absolute value as the distance of the number from zero on a number line b. determine the absolute value of real numbers 7.N.2.7 Find square roots of perfect SE: Stretching and Shrinking Investigation 3: whole-number squares. Similar Polygons (56) TG: Stretching and Shrinking Investigation 3: Similar Polygons (72) TR: Accentuate the Negative Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–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 5 7.N.2.8 Simplify and evaluate positive SE: Variables and Patterns Investigation 3: rational numbers raised to positive whole Rules and Equations (59); Accentuate the number powers. Negative Investigation 4: Properties of Operations (62–63, 69–71) TG: Variables and Patterns Investigation 3: Rules and Equations (83); Accentuate the Negative Investigation 4: Properties of Operations (87–90, 99–100) TR: Variables and Patterns Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources; Accentuate the Negative Transparencies 4.1A–B; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.N.2.9 Solve addition, subtraction, SE: Accentuate the Negative Investigation 1: multiplication, and division problems that Extending the Number System (14–15, ACE use positive and negative integers and exercises), Investigation 2: Adding and combinations of these operations. Subtracting Integers (22–29, ACE exercises), Investigation 3: Multiplying and Dividing Integers (44–49, ACE exercises) TG: Accentuate the Negative Investigation 1: Extending the Number System (29–32, 33–35), Investigation 2: Adding and Subtracting Integers (37–48, 57–61), Investigation 3: Multiplying and Dividing Integers (63–80, 81– 85) TR: Accentuate the Negative Transparencies 1.4A–B, 2.1A–B, 2.2A– B, 2.3, 3.1, 3.2, 3.3A–B, 3.4; Labsheets 3.4; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD– ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM

District: Textbook: Connected Math 2 Standard: Students will understand 5-8 Benchmark N.3: Compute fluently and make reasonable Strand: NUMBER AND OPERATIONS numerical concepts and mathematical estimates. operations.

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.N.3.1 Use estimation to check SE: Stretching and Shrinking Investigation 5: reasonableness of results, and use this Using Similar Triangles and Rectangles (84– information to make predictions in 85); Moving Straight Ahead Investigation 4: situations involving rational numbers, pi, Exploring Slope (88); Data Distributions and simple algebraic equations. Investigation 2: Making Sense of Measures of Center (31) TG: Stretching and Shrinking Investigation 5: Using Similar Triangles and Rectangles (103); Moving Straight Ahead Investigation 4: Exploring Slope (120); Data Distributions Investigation 2: Making Sense of Measures of Center (46–50) TR: Stretching and Shrinking, Moving Straight Ahead Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources Data Distributions Transparencies 2.1A–B, Labsheet 2.1; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 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 7.N.3.2 Convert fractions to decimals and SE: Stretching and Shrinking Investigation 4: percents and use these representations in Similarity and Ratios (72); Comparing and estimations, computations, and Scaling Investigation 2: Comparing Ratios, applications. Percents, and Fractions (15–16, 26–27, 44, 57) TG: Stretching and Shrinking Investigation 4: Similarity and Ratios (88); Comparing and Scaling Investigation 2: Comparing Ratios, Percents, and Fractions (29, 48, 71, 90) TR: Stretching and Shrinking, Comparing and Scaling Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.N.3.3 Read, write, and compare rational This standard is addressed in numbers in scientific notation (e.g., positive CMP2 Grade 8 Unit, “Growing, and negative powers of 10) with Growing, Growing,” Investigation approximate numbers using scientific 1 (SE: 17; TG: 42) notation. 7.N.3.4 Calculate the percentage of This standard is addressed in the increases and decreases of a quantity. CMP2 Grade 6 Unit, “Bits and Pieces III”.

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 8 7.N.3.5 Add and subtract fractions with TECH: Technology SE: Variables and Patterns unlike denominators. Investigation 3: Rules and Equations (60); Stretching and Shrinking Investigation 2: Similar Figures (34); Accentuate the Negative Investigation 2: Adding and Subtracting Integers (29); Filling and Wrapping Investigation 4: Cones, Spheres, and Pyramids (58); What Do You Expect? Investigation 1: Evaluating Games of Chance (14) TG: Variables and Patterns Investigation 3: Rules and Equations (84); Stretching and Shrinking Investigation 2: Similar Figures (52); Accentuate the Negative Investigation 2: Adding and Subtracting Integers (45–48); Filling and Wrapping Investigation 4: Cones, Spheres, and Pyramids (93); What Do You Expect? Investigation 1: Evaluating Games of Chance (34) TR: Variables and Patterns, Stretching and Shrinking, Filling and Wrapping; What Do You Expect? Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources; Accentuate the Negative Transparency 2.3; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment 7.N.3.6 Use the inverse relationship SE: Stretching and Shrinking Investigation 3: between raising to a power and extracting Similar Polygons (56) TG: Stretching and the root of a perfect square integer. Shrinking Investigation 3: Similar Polygons (72) TR: Stretching and Shrinking Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM

District: Textbook: Connected Math 2 Standard: Students will understand 5-8 Benchmark A.1: Understand patterns, relations, and Strand: ALGEBRA algebraic concepts and applications. functions.

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.A.1.1 Identify and continue patterns SE: Variables and Patterns Investigation 2: presented in a variety of formats. Analyzing Graphs and Tables (31, 46) TG: Variables and Patterns Investigation 2: Analyzing Graphs and Tables (45–50) TR: Transparencies 2.1A–B; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–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 7.A.1.2 Represent a variety of TECH: Technology SE: Variables and Patterns relationships using tables, graphs, verbal Investigation 2: Analyzing Graphs and Tables rules, and possible symbolic notation, and (31–32, ACE exercises), Investigation 3: Rules recognize the same general pattern and Equations (49–51, ACE exercises), presented in different representations. Looking Back and Looking Ahead (81– 83, ACE exercises) Moving Straight Ahead Investigation 1: Walking Rates (6– 7, ACE exercises), Investigation 2: Exploring Linear Functions With Graphs and Tables (29–30, ACE exercises) TG: Variables and Patterns Investigation 2: Analyzing Graphs and Tables (45–54, 59–67), Investigation 3: Rules and Equations (69–72, 81–85), Looking Back and Looking Ahead (103–105) Moving Straight Ahead Investigation 1: Walking Rates (19–24, 35–40), Investigation 2: Exploring Linear Functions With Graphs and Tables (55–60, 61– 65) TR: Variables and Patterns Transparencies 2.1A–B, 2.2, 3.1; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources Moving Straight Ahead Transparencies 1.2, 2.4; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources T 7.A.1.3 Simplify numerical expressions by SE: Accentuate the Negative Investigation 4: applying properties of rational numbers, Properties of Operations (62, 68) TG: and justify the process used. Accentuate the Negative Investigation 4: Properties of Operations (87–90) TR: Transparencies 4.1A–B; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–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 7.A.1.4 Interpret and evaluate expressions SE: Accentuate the Negative Investigation 4: involving integer powers and simple roots. Properties of Operations (63) TG: Accentuate the Negative Investigation 4: Properties of Operations (87–90) TR: Transparencies 4.1A– B; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.A.1.5 Graph and interpret linear SE: Moving Straight Ahead Investigation 1: functions. Walking Rates (6–7, ACE exercises) TG: Moving Straight Ahead Investigation 1: Walking Rates (19–24, 35–40) TR: Moving Straight Ahead Transparencies 1.2; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD– ROM; PHSchool.com Web Code ank–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 7.A.1.6 Solve problems involving rate, TECH: Technology SE: Variables and Patterns average speed, distance, and time. Investigation 1: Variables, Tables, and Coordinate Graphs (14, ACE exercises) Moving Straight Ahead Investigation 1: Walking Rates (5–6, ACE exercises) Comparing and Scaling Investigation 3: Comparing and Scaling Rates (35) TG: Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (33– 36, 37–43) Moving Straight Ahead Investigation 1: Walking Rates (16–18, 35–40) Comparing and Scaling Investigation 3: Comparing and Scaling Rates (57–60) TR: Variables and Patterns Transparencies; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources Moving Straight Ahead Transparencies; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources Comparing and Scaling Transparencies; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchoo

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

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.A.2.1 Write verbal expressions and SE: Moving Straight Ahead Investigation 3: sentences as algebraic expressions and Solving Equations (48–54, ACE exercises), equations: Investigation 4: Exploring Slope (76–77, ACE exercises) TG: Moving Straight Ahead Investigation 3: Solving Equations (71–84, 89– 94), Investigation 4: Exploring Slope (111– 114, 115–120) TR: Moving Straight Ahead Transparencies 3.2A–B, 3.3A–B, 3.4; Labsheets 3.2, 3.3; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM a. evaluate algebraic expressions b. solve simple linear equations c. graph and interpret results 7.A.2.2 Use variables and appropriate SE: Variables and Patterns Investigation 3– operations to write an expression, an Rules and Equations (49–54, ACE exercises) equation, or an inequality that represents a TG: Variables and Patterns Investigation 3 (69– verbal description. 80, 81–85) TR: Variables and Patterns Transparencies 3.1, 3.3; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–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 14 7.A.2.3 Use the order of operations to SE: Accentuate the Negative Investigation 4: evaluate algebraic expressions. Properties of Operations (60, 71, 74) TG: Accentuate the Negative Investigation 4: Properties of Operations (87–90, 100–101) TR: Accentuate the Negative Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 7.A.2.4 Simplify numerical expressions by SE: Accentuate the Negative Investigation 4: applying properties of rational numbers. Properties of Operations (66–68) TG: Accentuate the Negative Investigation 4: Properties of Operations (95–100) TR: Accentuate the Negative Transparencies 4.3; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.A.2.5 Graph linear functions and identify SE: Moving Straight Ahead Investigation 4: slope as positive or negative. Exploring Slope (72–74, ACE exercises) TG: Moving Straight Ahead Investigation 4: Exploring Slope (101–106, 115–120) TR: Moving Straight Ahead Transparencies 4.2A– B; Labsheets 4.2; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–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 15 7.A.2.6 Use letters as variables in This standard is covered throughout the mathematical expressions to describe how investigations and ACE exercises in the texts one quantity changes when a related Variables and Patterns and Moving Straight quantity changes. Ahead TR: Variables and Patterns Transparencies; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources Moving Straight Ahead Transparencies; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

District: Textbook: Connected Math 2 Standard: Students will understand 5-8 Benchmark A.3: Use mathematical models to represent and Strand: ALGEBRA algebraic concepts and applications. understand quantitative relationships.

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.A.3.1 Create scale models and use them "How Big is Big" Balanced for dimensional drawings. Assessment in Mathematics, http://balancedassessment.conc ord.org/tasksalpha.html 7.A.3.2 Understand and use the SE: Accentuate the Negative Investigation 2: coordinate plane to graph ordered pairs Adding and Subtracting Integers (30–31, ACE and linear equations. exercises) Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (7–11, ACE exercises) TG: Accentuate the Negative Investigation 2: Adding and Subtracting Integers (37–48, 57–61); Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (21–28, 37–43) TR: Accentuate the Negative Transparencies; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources Variables and Patterns Transparencies 1.3A–B; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.A.3.3 Select and use an appropriate This standard is addressed in the model for a particular situation. CMP2 Grade 8 Unit, “Say It With Symbols”.

District: Textbook: Connected Math 2 Standard: Students will understand Strand: ALGEBRA 5-8 Benchmark A.4: Analyze changes in various contexts. algebraic concepts and applications.

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.A.4.1 Use variables and appropriate SE: Variables and Patterns Investigation 3: operations to write an expression, an Rules and Equations (49–63), Investigation 4: equation, and/or an inequality that Calculator Tables and Graphs (64–80); Moving represents a verbal description involving Straight Ahead Investigation 1: Walking Rates change. (5–23), Investigation 2: Exploring Linear Functions With Graphs and Tables (25– 26, 31, 37, 40, 42, 43), Investigation 3: Solving Equations (65, 66, 67), Investigation 4 Exploring Slope (76–78, 84–85) TG: Variables and Patterns Investigation 3: Rules and Equations (68–86), Investigation 4: Calculator Tables and Graphs (86–102); Moving Straight Ahead Investigation 1: Walking Rates (15–40), Investigation 2: Exploring Linear Functions With Graphs and Tables (47– 50, 61, 63–65), Investigation 3: Solving Equations (93), Investigation 4 Exploring Slope (111–115, 118–119) TR: Variables and Patterns, Moving Straight Ahead Transparencies; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD– ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool. 7.A.4.2 Interpret and evaluate expressions This standard is addressed in the involving integer powers and simple roots CMP2 Grade 8 Unit, “Frogs, as they relate to change. Fleas, and Painted Cubes” Investigation 3 (SE: 41, 49, TG: 89–94, 111), and in “Growing, Growing, Growing” Investigation 3 (SE: 39, TG: 75–76)

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 18 7.A.4.3 Graph and interpret linear SE: Variables and Patterns Investigation 4: functions as they are used to solve Calculator Tables and Graphs (67–71, ACE problems. exercises) Moving Straight Ahead Investigation 1: Walking Rates (8–9, ACE exercises), Investigation 2: Exploring Linear Functions With Graphs and Tables (25–29, ACE exercises), Investigation 3: Solving Equations (46– 48, ACE exercises) TG: Variables and Patterns Investigation 4: Calculator Tables and Graphs (91–98, 99–102) Moving Straight Ahead Investigation 1: Walking Rates (25–30, 35–40), Investigation 2: Exploring Linear Functions With Graphs and Tables (47– 54, 61–65), Investigation 3: Solving Equations (67–70, 89–94) TR: Variables and Patterns Transparencies 4.2A–B; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources Moving Straight Ahead Transparencies 2.3, 3.1A–B; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 5500; LessonLab Online Courses (PHSchool.com/cmp2); E 7.A.4.4 Solve two-step equations and SE: Moving Straight Ahead Investigation 3: inequalities with one variable over the Solving Equations (51–54, ACE exercises) TG: rational numbers, interpret the solution or Moving Straight Ahead Investigation 3: solutions in the context from which they Solving Equations (77–84, 89–94) TR: Moving arose, and verify the reasonableness of the Straight Ahead Transparencies 3.3A–B, 3.4; results. Labsheets 3.3; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM

District: Textbook: Connected Math 2

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

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.G.1.1 Classify geometric figures as SE: Stretching and Shrinking Investigation 2– similar or congruent. Similar Figures (22–23, 25–27, ACE exercises), Investigation 4– Similarity and Ratios (62–63) TG: Stretching and Shrinking Investigation 2 (33–38, 43–48, 49–53), Investigation 4 (79–82, 87–89) TR: Stretching and Shrinking Transparencies 2.1A–B, 2.3, 4.2; Labsheets 2.1A–C, 2.3, 4.2; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–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 20 7.G.1.2 Understand the concept of a SE: Variables and Patterns Investigation 2: constant (e.g., pi) and use the formulas for Analyzing Graphs and Tables (43), the circumference and area of a circle. Investigation 4: Calculator Tables and Graphs (77); Stretching and Shrinking Investigation 1: Enlarging and Reducing Shapes (15, 16, 17, 18); Filling and Wrapping Investigation 1: Building Boxes (14) TG: Variables and Patterns Investigation 2: Analyzing Graphs and Tables (64), Investigation 4: Calculator Tables and Graphs (101); Stretching and Shrinking Investigation 1: Enlarging and Reducing Shapes (29–30); Filling and Wrapping Investigation 1: Building Boxes (33) TR: Variables and Patterns, Stretching and Shrinking, Filling and Wrapping Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.G.1.3 Explain and use the Pythagorean This standard is addressed in the theorem. CMP2 Grade 8 Unit, “Looking for Pythagoras”. 7.G.1.4 Determine the radius, diameter, This standard is addressed in the and circumference of a circle and explain CMP2 Grade 6 Unit, “Covering and their relationship. Surrounding”. 7.G.1.5 Use properties to classify solids including pyramids, cones, prisms, and cylinders.

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

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.G.2.1 Construct and use coordinate SE: Stretching and Shrinking Investigation 2: graphs to plot simple figures, determine Similar Figures (24–25, ACE Exercises) TG: lengths and areas related to them, and Stretching and Shrinking Investigation 2: determine the image under translations Similar Figures (39–42, 49–53) TR: Stretching and reflections. and Shrinking Transparency 2.3; Labsheet 2.3; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD– ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM For more comprehensive coverage of this standard, please see the CMP2 Grade 8 Unit, “Kaleidoscopes, Hubcaps, and Mirrors”.

District: Textbook: Connected Math 2 Standard: Students will understand 5-8 Benchmark G.3: Apply transformations and use symmetry Strand: GEOMETRY geometric concepts and applications. to analyze mathematical situations.

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.G.3.1 Determine how perimeter and SE: Stretching and Shrinking Investigation 3: area are affected by changes of scale. Similar Polygons (39– 43, ACE exercises) TG: Stretching and Shrinking Investigation 3: Similar Polygons (55– 68, 69–72) TR: Stretching and Shrinking Transparencies 3.2, 3.3A–B; Labsheets 3.2, 3.3A–B; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM

District: Textbook: Connected Math 2 Standard: Students will understand 5-8 Benchmark G.4: Use visualization, spatial reasoning, and Strand: GEOMETRY geometric concepts and applications. geometric modeling to solve problems.

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.G.4.1 Compute the perimeter and area This standard is addressed in the of common geometric shapes and use the CMP2 Grade 6 Unit, “Covering and results to find measures of less common Surrounding”. objects. 7.G.4.2 Identify and describe the This standard is addressed in the properties of two-dimensional figures: CMP2 Grade 6 Unit, “Shapes and Designs”. a. identify angles as vertical, adjacent, complementary, or supplementary and provide descriptions of these terms b. use the properties of complementary and supplementary angles and the sum of the angles of a triangle to solve problems involving an unknown angle c. draw quadrilaterals and triangles from given information

District: Textbook: Connected Math 2 5-8 Benchmark M.1: Understand measurable attributes of Standard: Students will understand Strand: MEASUREMENT objects and the units, systems, and processes of measurement systems and applications. measurement.

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.M.1.1 Choose appropriate units of This standard is addressed in the measure and ratios to recognize new CMP2 Grade 6 Unit, “Covering equivalences (e.g., 1 square yard equals 9 and Surrounding” Investigation 1 square feet) to solve problems. (SE: 15– 17, TG: 35–36) Equivalences that do not involve ratios can be found in: SE: Filling and Wrapping Investigation 5: Scaling Boxes (70, 72), Comparing and Scaling Investigation 3: Comparing and Scaling Rates (45) TG: Filling and Wrapping Investigation 5: Scaling Boxes (111), Comparing and Scaling Investigation 3: Comparing and Scaling Rates (71–72) TR: Filling and Wrapping, Comparing and Scaling Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD– ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 7.M.1.2 Select and use the appropriate size and type of unit for a given measurement situation.

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 25 7.M.1.3 Compare masses, weights, SE: Filling and Wrapping Investigation 2: capacities, geometric measures, times, Designing Rectangular Boxes (20, 24– 27), and temperatures within measurement Investigation 3: Prisms and Cylinders (33, 35, systems. 37–38, 40, 42), Investigation 4–: Cones, Spheres, and Pyramids (50–53, 55–57) SE: Filling and Wrapping Investigation 2: Designing Rectangular Boxes (37–42, 51–52), Investigation 3: Prisms and Cylinders (57–64, 69–72, 74–75), Investigation 4: Cones, Spheres, and Pyramids (83–90, 92–93) TR: Filling and Wrapping Transparencies 2.1, 3.1, 3.2A–B, 4.1, 4.2, 4.3; Labsheet 3.2, 4.2A–E; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD– ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.M.1.4 Approximate the relationship Students explore the relationship between between standard and metric temperature measured in degrees Fahrenheit measurement systems (e.g., inches and and Celsius in Moving Straight Ahead centimeters, pounds and kilograms, quarts Investigation 4. and liters). 7.M.1.5 Use measures expressed as rates SE: Moving Straight Ahead Investigation 1: and measures expressed as products to Walking Rates (6–7, 12–13), Investigation 2: solve problems, check the units of the Exploring Linear Functions With Graphs and solutions, and analyze the reasonableness Tables (31) TG: Moving Straight Ahead of the answer. Investigation 1: Walking Rates (16–24, 35–36), Investigation 2: Exploring Linear Functions With Graphs and Tables (61) TR: Moving Straight Head Transparency 1.2; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM

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

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.M.2.1 Apply strategies and formulas to This standard is addressed in the find missing angle measurements in CMP2 Grade 6 Unit, “Shapes triangles and quadrilaterals. and Designs”. 7.M.2.2 Select and use formulas to SE: Filling and Wrapping Investigation 1: determine the circumference of circles and Building Boxes (14), Stretching and Shrinking the area of triangles, parallelograms, Investigation 1: Enlarging and Reducing trapezoids, and circles. Shapes (14–16), Variables and Patterns Investigation 2: Analyzing Graphs and Tables (42–43), Moving Straight Ahead Investigation 3: Solving Equations (63) TG: Filling and Wrapping Investigation 1: Building Boxes (33), Stretching and Shrinking Investigation 1: Enlarging and Reducing Shapes (29–30), Variables and Patterns Investigation 2: Analyzing Graphs and Tables (63–64), Moving Straight Ahead Investigation 3: Solving Equations (92) TR: Filling and Wrapping, Stretching and Shrinking, Variables and Patterns, Moving Straight Ahead Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–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 7.M.2.3 Solve problems involving scale SE: Comparing and Scaling Investigation 1: factors, ratios, and proportions. Making Comparisons (6–7, ACE exercises), Investigation 2: Comparing Ratios, Percents, and Fractions (19–23, ACE exercises), Investigation 4: Making Sense of Proportions (49–54), Looking Back and Looking Ahead (65–67) Stretching and Shrinking Investigation 4: Similarity and Ratios (58–65), Investigation 5: Using Similar Triangles and Rectangles (78– 83) Filling and Wrapping Investigation 5: Scaling Boxes (65–66) TG: Comparing and Scaling Investigation 1: Making Comparisons (19–22, 27–30), Investigation 2: Comparing Ratios, Percents, and Fractions (32–46, 47–50), Investigation 4: Making Sense of Proportions (74–88, 89–92), Looking Back and Looking Ahead (92–93) Stretching and Shrinking Investigation 4: Similarity and Ratios (75–86, 87–89), Investigation 5 (91–102, 103–104) Filling and Wrapping Investigation 5: Scaling Boxes (105–108, 109–112) TR: Comparing and Scaling Transparencies 2.2, 2.3A–B, 4.1, 4.2; Labsheets; Additional Practice; Notebook Check; Self–Assessment

District: Textbook: Connected Math 2 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 addressed with data and collect, organize, and display relevant PROBABILITY determine probabilities. data to answer them.

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.D.1.1 Describe how data This standard is addressed in the representations influences interpretation. CMP2 Grade 8 Unit, “Samples and Populations” Investigation 3 (ACE exercise). 7.D.1.2 Select and use appropriate SE: Data Distributions Investigation 1: Making representation for presenting collected Sense of Variability (14, 20, 22– 23, 46–47, 50, data and justify the selection. 68–69), Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (25) TG: Data Distributions Investigation 1: Making Sense of Variability (33–35, 39– 41, 68–70, 94–95), Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (41) TR: Data Distributions Transparencies 1.4A–B; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources Variables and Patterns Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–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 29 7.D.1.3 Use measures of central tendency SE: Data Distributions Investigation 1: Making and spread to describe a set of data. Sense of Variability (13–15, ACE exercises), Investigation 2: Making Sense of Measures of Center (28–35, 40– 43, ACE exercises), Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (76–77, ACE exercises) TG: Data Distributions Investigation 1: Making Sense of Variability (33–37, 37– 42), Investigation 2: Making Sense of Measures of Center (46–54, 61–66, 67– 71), Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (103–114, 115–117) TR: Data Distributions Transparencies 1.4A–B, 2.1A–B, 2.2A–C, 2.4, 4.2A–D; Labsheets 2.1, 4.2A–P; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.D.1.4 Choose between median and SE: Data Distributions Investigation 2: Making mode to describe a set of data and justify Sense of Measures of Center (36–39, ACE the choice for a particular situation. exercises) TG: Data Distributions Investigation 2: Making Sense of Measures of Center (55– 60, 67–71) TR: Data Distributions Transparencies 2.3A–E; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.D.1.5 Determine the quartiles of a data This standard is addressed in the set. CMP2 Grade 8 Unit, “Samples and Populations”. There are no references at Grade 7.

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 30 7.D.1.6 Identify ordered pairs of data from SE: Accentuate the Negative Investigation 2: a graph and interpret the data in terms of Adding and Subtracting Integers (31, 36–37), the situation depicted by the graph. Variables and Patterns Investigation 1: Variables, Tables, and coordinate Graphs (10– 11, 12–13) TG: Accentuate the Negative Investigation 2: Adding and Subtracting Integers (53–56, 59), Variables and Patterns Investigation 1: Variables, Tables, and coordinate Graphs (25–32) TR: Accentuate the Negative Transparency 2.5; Labsheet 2.5; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources; Variables and Patterns Transparencies 1.3A–B, 1.4; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.D.1.7 Use various scales and formats to SE: Data Distributions Investigation 1: Making display the same data set. Sense of Variability (7, 10–11, 13–15, 18–19, 22–23), Investigation 2: Making Sense of Measures of Center (33–34, 44–45, 50), Investigation 3: Comparing Distributions: Equal Numbers of Data Values (56–57, 68–69) TG: Data Distributions Investigation 1: Making Sense of Variability (20–28, 33– 35, 38–41), Investigation 2: Making Sense of Measures of Center (51–54, 67, 69), Investigation 3: Comparing Distributions: Equal Numbers of Data Values (74–82, 94–95) TR: Data Distributions Transparencies 1.1A–C, 1.4A–B, 2.2A–C, 3.1A–C, 3.2A–B; Labsheets 1.1, 1.2, 3.2; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 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 31 7.D.1.8 Identify and explain the misleading SE: Variables and Patterns Investigation 1: representations of data. Variables, Tables, and Coordinate Graphs (16, 19, 45) TG: Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (38–39, 65) TR: Variables and Patterns Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.D.1.9 Collect, organize, and represent SE: Variables and Patterns Investigation 1: data sets that have one or more variables Variables, Tables, and Coordinate Graphs and identify relationships among variables (20–21), Investigation 4: Calculator Tables within a data set. and Graphs (66, 68–69, 75) TG: Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (39–40), Investigation 4: Calculator Tables and Graphs (87–94, 1005) TR: Variables and Patterns Transparencies 4.1, 4.2A–B; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 7.D.1.10 Compute the minimum, lower This standard is addressed in the quartile, median, upper quartile, and CMP2 Grade 8 Unit, “Samples maximum of a data set. and Populations”. There are no references at Grade 7. 7.D.1.11 Identify and explain the effects of SE: Variables and Patterns Investigation 1: scale and/or interval changes on graphs of Variables, Tables, and Coordinate Graphs (16, whole number data sets. 19, 45) TG: Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (38–39, 65) TR: Variables and Patterns Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 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 32 7.D.1.12 Use and explain sampling SE: Data Distributions Investigation 4: techniques (e.g., observations, surveys, Comparing Distributions: Unequal Numbers of and random sampling) for gathering data. Data Values (74–79, 82–83) TG: Data Distributions Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (97–116) TR: Data Distributions Transparencies; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 7.D.1.13 Analyze problems by identifying This standard is covered within the in– class relationships, distinguishing relevant from problems and the ACE exercises found in each irrelevant information, identifying missing investigation of all student units. information, and selecting, collecting, and Representative citations follow: SE: Variables displaying appropriate data to address the and Patterns Investigation 1: Variables, Tables, problem. and Coordinate Graphs (5–29), Investigation 2: Analyzing Graphs and Tables (30–48), Investigation 3: Rules and Equations (49– 63), Investigation 4: Calculator Tables and Graphs (64–80) TG: Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (15–43), Investigation 2: Analyzing Graphs and Tables (44–67), Investigation 3: Rules and Equations (68– 85), Investigation 4: Calculator Tables and Graphs (86–102) TR: Variables and Patterns Transparencies; Labsheets; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com, Web Code ank– 5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM

District: Textbook: Connected Math 2 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 PROBABILITY methods to analyze data. determine probabilities.

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.D.2.1 Choose and justify appropriate Measures of central tendency are covered in the measures of central tendencies (e.g., CMP2 Grade 7 Unit, “Data Distributions” mean, median, mode, range) to describe Investigation 2: Making Sense of Measures of given or derived data. Center. The exercises in the text can be extended to satisfy this standard. 7.D.2.2 Know various ways to display data SE: Data Distributions Investigation 1: Making sets (e.g., stem and leaf plot, box and Sense of Variability (21–23, 26), Investigation whisker plot, scatter plots) and use these 2: Making Sense of Measures of Center (28– forms to display a single set of data or to 54), Investigation 3: Comparing Distributions: compare two sets of data. Equal Numbers of Data Values (55–73), Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (84) TG: Data Distributions Investigation 1: Making Sense of Variability (40–42), Investigation 2: Making Sense of Measures of Center (44–72), Investigation 3: Comparing Distributions: Equal Numbers of Data Values (72–96), Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (117) TR: Data Distributions Transparencies; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD– ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM Note: Scatterplots (though not defined until Data Distributions) are also used throughout Variables and Patterns.

SE = Student Edition TG = Teacher’s Guide TR = Teaching Resources TECH = Technology Page 34 7.D.2.3 Use the analysis of data to make SE: Data Distributions Investigation 1: Making convincing arguments. Sense of Variability (6–11, ACE exercises) TG: Data Distributions Investigation 1: Making Sense of Variability (20–28, 37– 42) TR: Data Distributions Transparencies 1.1A–C, 1.2A–B; Labsheets 1.1, 1.2; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 7.D.2.4 Use appropriate technology to Data Distributions was designed to be used gather and display data sets and identify with Tinkerplots software available from Key the relationships that exist among variables Curriculum Press. Problems 2.4, 3.3, 3.4, and within the data set. 4.2 are well suited for use with the software. SE: Data Distributions Investigation 2: Making Sense of Measures of Center (40–43), Investigation 3: Comparing Distributions: Equal Numbers of Data Values (60–61), Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (76–77) TG: Data Distributions Investigation 2: Making Sense of Measures of Center (61–66), Investigation 3: Comparing Distributions: Equal Numbers of Data Values (83–92), Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (103–114) TR: Data Distributions Transparencies; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 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 35 7.D.2.5 Use data samples of a population SE: Data Distributions Investigation 4: and describe the characteristics and Comparing Distributions: Unequal Numbers of limitations of the sample. Data Values (74–85) TG: Data Distributions Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (97–117) TR: Data Distributions Transparencies; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.D.2.6 Identify data that represent sampling errors and explain why the sample and the display might be biased. 7.D.2.7 Identify claims based on statistical data and evaluate the validity of the claims.

District: Textbook: Connected Math 2 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 PROBABILITY predictions that are based on data. determine probabilities.

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.D.3.1 Formulate and justify This standard is covered within the in– class mathematical conjectures based on data problems and the ACE exercises found in each and a general description of the investigation of all student units. mathematical question or problem posed. Representative citations follow: SE: Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (5–29), Investigation 2: Analyzing Graphs and Tables (30–48), Investigation 3: Rules and Equations (49– 63), Investigation 4: Calculator Tables and Graphs (64–80) TG: Variables and Patterns Investigation 1: Variables, Tables, and Coordinate Graphs (15–43), Investigation 2: Analyzing Graphs and Tables (44–67), Investigation 3: Rules and Equations (68– 85), Investigation 4: Calculator Tables and Graphs (86–102) TR: Variables and Patterns Transparencies; Labsheets; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com, Web Code ank– 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 37 7.D.3.2 Analyze data to make accurate This standard is addressed throughout the Data inferences, predictions, and to develop Distributions unit. SE: Data Distributions convincing arguments from data displayed Investigation 1: Making Sense of Variability in a variety of forms. (5–27), Investigation 2: Making Sense of Measures of Center (28–54), Investigation 3: Comparing Distributions: Equal Numbers of Data Values (55–73), Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (74–85) TG: Data Distributions Investigation 1: Making Sense of Variability (19–43), Investigation 2: Making Sense of Measures of Center (44–72), Investigation 3: Comparing Distributions: Equal Numbers of Data Values (72–96), Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (97–117) TR: Data Distributions Transparencies; Labsheets; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 7.D.3.3 Approximate a line of best fit for a SE: Data Distributions Investigation 1: Making data set in a scatter plot form and make Sense of Variability (26), Investigation 4: predictions using the simple equation of Comparing Distributions: Unequal Numbers of that line. Data Values (84) TG: Data Distributions Investigation 1: Making Sense of Variability (42), Investigation 4: Comparing Distributions: Unequal Numbers of Data Values (117) TR: Data Distributions Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM

District: Textbook: Connected Math 2 Standard: Students will understand how to Strand: DATA ANALYSIS AND 5-8 Benchmark D.4: Understand and apply basic concepts of formulate questions, analyze data, and PROBABILITY probability. determine probabilities.

Grade 7 Performance Standards Grade 7 Textbook Pages Supplemental Materials Month(s) when Addressed 7.D.4.1 Determine the probability of a SE: What Do You Expect? Investigation 1: compound event composed of two Evaluating Games of Chance (7–8, ACE independent events. exercises), Investigation 2: Analyzing Situations Using an Area Model (20–25, ACE exercises) TG: What Do You Expect? Investigation 1: Evaluating Games of Chance (23–26, 33–35), Investigation 2: Analyzing Situations Using an Area Model (38–48, 55– 58) TR: What Do You Expect? Transparencies 2.1, 2.2; Labsheets 2.1; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD–ROM; Teacher Express™ CD–ROM 7.D.4.2 Identify examples of events having SE: What Do You Expect? Investigation 1: the probability of one or zero. Evaluating Games of Chance (14) TG: What Do You Expect? Investigation 1: Evaluating Games of Chance (34) TR: What Do You Expect? Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 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 39 7.D.4.3 Describe the probability of events This standard is covered throughout the using fractions, decimals, and percents. investigations and ACE exercises in the text What Do You Expect? TR: What Do You Expect? Transparencies; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.D.4.4 Express probability as a fraction, SE: What Do You Expect? Investigation 1: zero, or one. Evaluating Games of Chance (5–6, 8– 14, 16– 18), Investigation 2: Analyzing Situations Using an Area Model (21, 23, 25, 27–30, 32– 35), Investigation 3: Expected Value (39, 45– 48), Investigation 4: Binomial Outcomes (52– 59) TG: What Do You Expect? Investigation 1: Evaluating Games of Chance (18–35), Investigation 2: Analyzing Situations Using an Area Model (38–58), Investigation 3: Expected Value (60–64, 74–76), Investigation 4: Binomial Outcomes (83–94) TR: What Do You Expect? Transparencies 1.1, 2.1, 2.2A–B, 2.3, 3.1, 4.2; Labsheets 1.1, 1.3, 2.1, 3.1; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD– ROM; PHSchool.com Web Code ank–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 40 7.D.4.5 Use probability to generate SE: What Do You Expect? Investigation 3: convincing arguments, draw conclusions, Expected Value (40–41, ACE exercises), and make decisions in a variety of Investigation 4: Binomial Outcomes (50–53, situations. ACE exercises) TG: What Do You Expect? Investigation 3: Expected Value (65–68, 73– 76), Investigation 4: Binomial Outcomes (79– 82, 87–90, 91–94) TR: What Do You Expect? Transparencies 3.2; Labsheets 3.2; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank–5500; LessonLab Online Courses (PHSchool.com/cmp2); ExamView® CD– ROM; Teacher Express™ CD–ROM 7.D.4.6 Make predictions based on SE: What Do You Expect? Investigation 1: theoretical probabilities of compound Evaluating Games of Chance (7–8, ACE events. exercises), Investigation 4: Binomial Outcomes (52–53, ACE exercises) TG: What Do You Expect? Investigation 1 (23–2633–35), Investigation 4 (87–90, 91–94) TR: What Do You Expect? Transparencies; Labsheets; Additional Practice; Notebook Check; Self– Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD– ROM; PHSchool.com Web Code ank–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 41 7.D.4.7 Determine the probability of a SE: What Do You Expect? Investigation 1: simple event or a compound event Evaluating Games of Chance (7–8, ACE composed of a simple, independent exercises), Investigation 2: Analyzing events. Situations Using an Area Model (20–25, ACE exercises), Investigation 4: Binomial Outcomes (51– 52, ACE exercises) TG: What Do You Expect? Investigation 1: Evaluating Games of Chance (23–26, 33–35), Investigation 2: Analyzing Situations Using an Area Model (38–48, 55–58), Investigation 4: Binomial Outcomes (83–86, 91–94) TR: What Do You Expect? Transparencies 2.1, 2.2, 4.2; Labsheets 2.1; Additional Practice; Notebook Check; Self–Assessment; Spanish Assessment Resources TECH: Calculators; Student Activity CD–ROM; PHSchool.com Web Code ank– 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 42