Helpful advice for teaching Common Core Math Standards to middle-school students The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. Hands-on Activities for Teaching the Common Core Math Standards is designed to help teachers instruct their students so that they will better understand and apply the skills outlined in the Standards. This important resource also gives teachers a wealth of tools and activities that can encourage students to think critically, use mathematical reasoning, and employ various problem-solving strategies.
* Filled with activities that will help students gain an understanding of math concepts and skills correlated to the Common Core State Math Standards * Offers guidance for helping students apply their understanding of math concepts and skills, develop proficiency in calculations, and learn to think abstractly * Describes ways to get students to collaborate with other students, utilize technology, communicate ideas about math both orally and in writing, and gain an appreciation of the significance of mathematics to real life This practical and easy-to-use resource will help teachers give students the foundation they need for success in higher mathematics.
Judith A. Muschla has taught mathematics in South River, New Jersey, for over twenty-five years. She has been a member of the state Standards Review Panel for the Mathematics Core Curriculum Content Standards in New Jersey. Gary Robert Muschla taught at Appleby School in Spotswood, New Jersey, for more than twenty-five years. Judith and Gary have coauthored several books, including The Algebra Teacher's Activities Kit, Hands-On Math Projects with Real Life Applications, The Math Teacher's Book of Lists, and Math Starters. Erin Muschla teaches 8th grade math and algebra at Monroe Township Middle School in Monroe, New Jersey, and has collaborated with Judith and Gary on three previous math books.
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 Expressions 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 Ratios 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 Statistics 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 Activity 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 Statistics and Probability: 8.SP.1 237 Activity: Making a Scatter Plot 237 Statistics and Probability: 8.SP.2 239 Activity: Drawing the Line of Best Fit 239 Statistics and Probability: 8.SP.3 241 Activity: Using Linear Equations to Solve Problems 241 Statistics and Probability: 8.SP.4 243 Activity: Analyzing Two-Way Tables 244 Index 247