Teaching the Common Core Math Standards with Hands-On Activities, Grades 6–8

Abstract

CONTENTS About This Book v About the Authors vii Acknowledgments ix SECTION 1: STANDARDS AND ACTIVITIES FOR GRADE 6 1 Ratios and Proportional Relationships: 6.RP.1 . . . . . 2 Activity: Ratios All Around Us . . . . . . . . . . . . . . . . . . . . . . . 2 Ratios and Proportional Relationships: 6.RP.2 . . . . . 4 Activity: Unit Rate Tic-Tac-Toe . . . . . . . . . . . . . . . . . . . . . . 4 Ratios and Proportional Relationships: 6.RP.3 . . . . . 6 Activity: The Faster Rate . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 The Number System: 6.NS.1 . . . . . . . . . . . . . . . . . . . . . 9 Activity: Modeling Division of Fractions . . . . . . . . . . . . . . . . 9 The Number System: 6.NS.2 . . . . . . . . . . . . . . . . . . . . . 12 Activity 1: Snork’s Long Division . . . . . . . . . . . . . . . . . . . . . 12 Activity 2: Long Division Relay Race . . . . . . . . . . . . . . . . . . 13 The Number System: 6.NS.3 . . . . . . . . . . . . . . . . . . . . . 15 Activity: Decimal Operation Tournament . . . . . . . . . . . . . . . 15 The Number System: 6.NS.4 . . . . . . . . . . . . . . . . . . . . . 17 Activity: The Numbers Game . . . . . . . . . . . . . . . . . . . . . . . . 17 The Number System: 6.NS.5 . . . . . . . . . . . . . . . . . . . . . 19 Activity: Finding the Opposite . . . . . . . . . . . . . . . . . . . . . . . 19 The Number System: 6.NS.6 . . . . . . . . . . . . . . . . . . . . . 22 Activity 1: Graphing on a Number Line . . . . . . . . . . . . . . . . 22 Activity 2: Bonk the Mole . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 The Number System: 6.NS.7 . . . . . . . . . . . . . . . . . . . . . 25 Activity: An Old-Fashioned Number Line . . . . . . . . . . . . . . 25 The Number System: 6.NS.8 . . . . . . . . . . . . . . . . . . . . . 27 Activity: The Maze Game . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 Expressions and Equations: 6.EE.1 . . . . . . . . . . . . . . . 29 Activity: Find Which Does Not Belong . . . . . . . . . . . . . . . . . 29 Expressions and Equations: 6.EE.2 . . . . . . . . . . . . . . . 32 Activity: And It Equals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 xiExpressions and Equations: 6.EE.3 . . . . . . . . . . . . . . . 35 Activity: Presenting Properties . . . . . . . . . . . . . . . . . . . . . . 35 Expressions and Equations: 6.EE.4 . . . . . . . . . . . . . . . 37 Activity: Partner Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Expressions and Equations: 6.EE.5 . . . . . . . . . . . . . . . 39 Activity: Three in a Row . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 Expressions and Equations: 6.EE.6 . . . . . . . . . . . . . . . 42 Activity: A Slice of Life with Variables and Expressions . . . 42 Expressions and Equations: 6.EE.7 . . . . . . . . . . . . . . . 44 Activity: Equations, Equations, Equations. . . . . . . . . . . . . . . 44 Expressions and Equations: 6.EE.8 . . . . . . . . . . . . . . . 46 Activity: Find Your Match . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Expressions and Equations: 6.EE.9 . . . . . . . . . . . . . . . 51 Activity 1: Examining Relationships . . . . . . . . . . . . . . . . . . 51 Activity 2: Comparing Heart Rates . . . . . . . . . . . . . . . . . . . 52 Geometry: 6.G.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 Activity 1: It’s Half . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 Activity 2: It’s Awe-Sum . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 Geometry: 6.G.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 Activity: It’s Voluminous . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 Geometry: 6.G.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 Activity: Initials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 Geometry: 6.G.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 Activity: Finding the Surface Area of Nets . . . . . . . . . . . . . . 63 Statistics and Probability: 6.SP.1 . . . . . . . . . . . . . . . . . 65 Activity: Statistical Questions Versus Nonstatistical Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 Statistics and Probability: 6.SP.2 . . . . . . . . . . . . . . . . . 67 Activity: And the Answer Is. . . . . . . . . . . . . . . . . . . . . . . . . . 67 Statistics and Probability: 6.SP.3 . . . . . . . . . . . . . . . . . 69 Activity: Measure of Center Versus Measure of Variation . . 69 Statistics and Probability: 6.SP.4 . . . . . . . . . . . . . . . . . 72 Activity: Creating Data Displays . . . . . . . . . . . . . . . . . . . . . 72 Statistics and Probability: 6.SP.5 . . . . . . . . . . . . . . . . . 75 Activity: Summarizing Data . . . . . . . . . . . . . . . . . . . . . . . . . 75 SECTION 2: STANDARDS AND ACTIVITIES FOR GRADE 7 79 Ratios and Proportional Relationships: 7.RP.1 . . . . . 80 Activity: What Is the Unit Rate? . . . . . . . . . . . . . . . . . . . . . . 81 Ratios and Proportional Relationships: 7.RP.2 . . . . . 84 Activity: Proportions Scavenger Hunt . . . . . . . . . . . . . . . . . 84 xii ContentsRatios and Proportional Relationships: 7.RP.3 . . . . . 86 Activity 1: Gifts for the Holidays . . . . . . . . . . . . . . . . . . . . . . 86 Activity 2: Very Interesting . . . . . . . . . . . . . . . . . . . . . . . . . . 89 The Number System: 7.NS.1 . . . . . . . . . . . . . . . . . . . . . 90 Activity: The Virtual Classroom . . . . . . . . . . . . . . . . . . . . . . 90 The Number System: 7.NS.2 . . . . . . . . . . . . . . . . . . . . . 92 Activity 1: The Distributive Property War . . . . . . . . . . . . . . . 93 Activity 2: Which One Should Be Excluded? . . . . . . . . . . . . . 96 The Number System: 7.NS.3 . . . . . . . . . . . . . . . . . . . . . 98 Activity: Playing the Stock Market . . . . . . . . . . . . . . . . . . . . 98 Expressions and Equations: 7.EE.1 . . . . . . . . . . . . . . . 104 Activity: Algebraic Expressions Jigsaw . . . . . . . . . . . . . . . . 104 Expressions and Equations: 7.EE.2 . . . . . . . . . . . . . . . 106 Activity: Rewriting Expressions . . . . . . . . . . . . . . . . . . . . . . 106 Expressions and Equations: 7.EE.3 . . . . . . . . . . . . . . . 108 Activity: Estimation Game . . . . . . . . . . . . . . . . . . . . . . . . . . 108 Expressions and Equations: 7.EE.4 . . . . . . . . . . . . . . . 110 Activity 1: Writing Equations . . . . . . . . . . . . . . . . . . . . . . . . 110 Activity 2: Solving Inequalities . . . . . . . . . . . . . . . . . . . . . . . 112 Geometry: 7.G.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114 Activity: Scaling Your Classroom . . . . . . . . . . . . . . . . . . . . . 114 Geometry: 7.G.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116 Activity: Creating Triangles . . . . . . . . . . . . . . . . . . . . . . . . . 116 Geometry: 7.G.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 Activity 1: A Virtual Cube . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 Activity 2: Slicing Figures . . . . . . . . . . . . . . . . . . . . . . . . . . 120 Geometry: 7.G.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 Activity 1: Circle Scavenger Hunt . . . . . . . . . . . . . . . . . . . . 121 Activity 2: What’s the Relationship? . . . . . . . . . . . . . . . . . . . 122 Geometry: 7.G.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124 Activity: What’s the Angle? . . . . . . . . . . . . . . . . . . . . . . . . . 124 Geometry: 7.G.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 Activity: Let’s Build It . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 Statistics and Probability: 7.SP.1 . . . . . . . . . . . . . . . . . 129 Activity: Examining Samples . . . . . . . . . . . . . . . . . . . . . . . . 129 Statistics and Probability: 7.SP.2 . . . . . . . . . . . . . . . . . 131 Activity: How Many Cubes? . . . . . . . . . . . . . . . . . . . . . . . . . 131 Statistics and Probability: 7.SP.3 . . . . . . . . . . . . . . . . . 133 Activity: How Well Did They Do? . . . . . . . . . . . . . . . . . . . . . 133 Contents xiiiStatistics and Probability: 7.SP.4 . . . . . . . . . . . . . . . . . 136 Activity: What Can We Say? . . . . . . . . . . . . . . . . . . . . . . . . . 136 Statistics and Probability: 7.SP.5 . . . . . . . . . . . . . . . . . 139 Activity: On a Scale of Zero to One . . . . . . . . . . . . . . . . . . . 139 Statistics and Probability: 7.SP.6 . . . . . . . . . . . . . . . . . 143 Activity: Probability Simulations . . . . . . . . . . . . . . . . . . . . . 143 Statistics and Probability: 7.SP.7 . . . . . . . . . . . . . . . . . 145 Activity 1: Spinner Experiment . . . . . . . . . . . . . . . . . . . . . . 145 Activity 2: Flipping a Marshmallow . . . . . . . . . . . . . . . . . . . 146 Statistics and Probability: 7.SP.8 . . . . . . . . . . . . . . . . . 148 Activity 1: Working with Sample Spaces . . . . . . . . . . . . . . . 148 Activity 2: Simulating Events . . . . . . . . . . . . . . . . . . . . . . . . 149 SECTION 3: STANDARDS AND ACTIVITIES FOR GRADE 8 151 The Number System: 8.NS.1 . . . . . . . . . . . . . . . . . . . . . 152 Activity: Math Tic-Tac-Toe . . . . . . . . . . . . . . . . . . . . . . . . . 153 The Number System: 8.NS.2 . . . . . . . . . . . . . . . . . . . . . 154 Activity 1: Zeroing In . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154 Activity 2: Irrational Numbers—They’re Insane . . . . . . . . . 155 Expressions and Equations: 8.EE.1 . . . . . . . . . . . . . . . 157 Activity: What Does It Equal? . . . . . . . . . . . . . . . . . . . . . . . . 157 Expressions and Equations: 8.EE.2 . . . . . . . . . . . . . . . 160 Activity: Creating Squares and Cubes . . . . . . . . . . . . . . . . . 161 Expressions and Equations: 8.EE.3 . . . . . . . . . . . . . . . 162 Activity 1: Expressing Numbers in Scientific Notation . . . . 162 Activity 2: It’s How Many Times as Much. . . . . . . . . . . . . . . 163 Expressions and Equations: 8.EE.4 . . . . . . . . . . . . . . . 165 Activity 1: Math Bingo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 166 Activity 2: Metric Prefixes . . . . . . . . . . . . . . . . . . . . . . . . . . 167 Expressions and Equations: 8.EE.5 . . . . . . . . . . . . . . . 169 Activity: It’s Proportional . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 Expressions and Equations: 8.EE.6 . . . . . . . . . . . . . . . 171 Activity 1: The Slope Is the Same . . . . . . . . . . . . . . . . . . . . 171 Activity 2: I Have Derived It . . . . . . . . . . . . . . . . . . . . . . . . . 172 Expressions and Equations: 8.EE.7 . . . . . . . . . . . . . . . 176 Activity: Which One Doesn’t Belong? . . . . . . . . . . . . . . . . . 177 Expressions and Equations: 8.EE.8 . . . . . . . . . . . . . . . 179 Activity 1: What’s the Point? . . . . . . . . . . . . . . . . . . . . . . . . 180 xiv ContentsActivity 2: Students Teaching . . . . . . . . . . . . . . . . . . . . . . . . 181 Functions: 8.F.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 Activity 1: Using a Function Machine . . . . . . . . . . . . . . . . . . 183 Activity 2: And Now for a Skit, a Song, a Poem, or a. . . . . . . 184 Functions: 8.F.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185 Activity: What’s My Function? . . . . . . . . . . . . . . . . . . . . . . . 185 Functions: 8.F.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189 Activity: A Function Scavenger Hunt . . . . . . . . . . . . . . . . . . 189 Functions: 8.F.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191 Activity 1: Four in a Row . . . . . . . . . . . . . . . . . . . . . . . . . . . 191 Activity 2: Everyday Uses of Linear Functions . . . . . . . . . . . 192 Functions: 8.F.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198 Activity: Describing a Graph . . . . . . . . . . . . . . . . . . . . . . . . 198 Geometry: 8.G.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 Activity: Transformations . . . . . . . . . . . . . . . . . . . . . . . . . . 201 Geometry: 8.G.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205 Activity 1: Find the Image . . . . . . . . . . . . . . . . . . . . . . . . . . 205 Activity 2: From Here to There. . . . . . . . . . . . . . . . . . . . . . . 206 Geometry: 8.G.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 210 Activity: I’ve Scrambled My Notes . . . . . . . . . . . . . . . . . . . . 210 Geometry: 8.G.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215 Activity: I Found the Image . . . . . . . . . . . . . . . . . . . . . . . . . 215 Geometry: 8.G.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219 Activity 1: Finding the Sum of the Interior Angles of a Triangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 220 Activity 2: Finding the Sum of the Exterior Angles of a Triangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221 Activity 3: Angles, Parallel Lines, and Transversals . . . . . . 222 Activity 4: Angle-Angle Similarity . . . . . . . . . . . . . . . . . . . . 223 Geometry: 8.G.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 227 Activity 1: I Can Explain It . . . . . . . . . . . . . . . . . . . . . . . . . . 227 Activity 2: The Pythagorean Puzzle . . . . . . . . . . . . . . . . . . . 228 Geometry: 8.G.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 230 Activity: Applying the Pythagorean Theorem . . . . . . . . . . . . 230 Geometry: 8.G.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 232 Activity: Finding the Distance . . . . . . . . . . . . . . . . . . . . . . . 232 Geometry: 8.G.9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 234 Activity: Finding the Volume . . . . . . . . . . . . . . . . . . . . . . . . 234 Contents xv