Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5
Helping teachers prepare elementary students to master the common core math standards With the common core math curriculum being adopted by forty-three states, it is imperative that students learn to master those key math standards. Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 is the only book currently available that provides activities directly correlated to the new core curriculum for math. This text assists teachers with instructing the material and allows students to practice the concepts through use of the grade-appropriate activities included. Students learn in different ways, and Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 acknowledges that fact through the inclusion of suggestions for variations and extensions of each concept to be used for students with different abilities and learning styles. The activities and lessons are as diverse as the students in your classroom. Inside Teaching with Common Core Math Standards With Hands-On Activities Grades 3-5, you will find: Clear instructions to help you cover the skills and concepts for the new math core curriculum Engaging activities that enforce each core math standard for your students Various suggestions for ways to instruct the concepts to reach the diverse learning styles of your students Complete coverage of mathematical calculations, mathematical reasoning, and problem-solving strategies appropriate for grades 3-5 Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 prepares students to achieve success in the important area of mathematics. As your students gain an understanding of the common core standards, they will build confidence in their ability to grasp and manipulate mathematical concepts as they move forward to the next level.
About This Book v About the Authors vii Acknowledgments ix SECTION 1: STANDARDS AND ACTIVITIES FOR GRADE 3 1 Operations and Algebraic Thinking: 3.OA.1 2 Activity: Combining Groups 2 Operations and Algebraic Thinking: 3.OA.2 3 Activity: Breaking into Groups 3 Operations and Algebraic Thinking: 3.OA.3 4 Activity: It’s a Match 4 Operations and Algebraic Thinking: 3.OA.4 8 Activity: Equation Tic-Tac-Toe 8 Operations and Algebraic Thinking: 3.OA.5 10 Activity: Applying Properties 10 Operations and Algebraic Thinking: 3.OA.6 13 Activity: Number Scramble 13 Operations and Algebraic Thinking: 3.OA.7 17 Activity: Multiplication and Division Bingo 17 Operations and Algebraic Thinking: 3.OA.8 21 Activity: Which Equation? 21 Operations and Algebraic Thinking: 3.OA.9 24 Activity: Color the Multiples 24 Number and Operations in Base Ten: 3.NBT.1 27 Activity: It’s Around … 27 Number and Operations in Base Ten: 3.NBT.2 30 Activity 1: Helping Zero Find a Place 30 Activity 2: Finding Sums and Differences 31 Number and Operations in Base Ten: 3.NBT.3 34 Activity: What Does It Equal? 34 Number and Operations—Fractions: 3.NF.1 37 Activity: Making Fraction Bars 37 Number and Operations—Fractions: 3.NF.2 39 Activity: Placing Fractions on the Number Line 39 Number and Operations—Fractions: 3.NF.3 41 Activity 1: Squares and Fractions 41 Activity 2: Balancing Fractions 43 Measurement and Data: 3.MD.1 45 Activity 1: Time to Read 45 Activity 2: What Time Is It? 46 Measurement and Data: 3.MD.2 47 Activity 1: Make a Metric Monster 47 Activity 2: A Lot of Water 49 Measurement and Data: 3.MD.3 52 Activity: Picture Graphs and Bar Graphs 52 Measurement and Data: 3.MD.4 54 Activity: Hand Spans 54 Measurement and Data: 3.MD.5 57 Activity: Covering the Area 57 Measurement and Data: 3.MD.6 59 Activity 1: Measuring Areas 59 Activity 2: Measuring Areas with Appropriate Tools 60 Measurement and Data: 3.MD.7 63 Activity 1: Tiling and Finding Area 64 Activity 2: Decomposing Areas 65 Measurement and Data: 3.MD.8 67 Activity 1: Area and Finding Perimeter 67 Activity 2: Perimeter and Finding Area 68 Activity 3: Designing a Vegetable Garden 69 Geometry: 3.G.1 72 Activity: Classifying Quadrilaterals 72 Geometry: 3.G.2 75 Activity: Decomposing Figures 75 SECTION 2: STANDARDS AND ACTIVITIES FOR GRADE 4 81 Operations and Algebraic Thinking: 4.OA.1 82 Activity: Multiplication Tic-Tac-Toe 82 Operations and Algebraic Thinking: 4.OA.2 84 Activity: What’s the Problem? 84 Operations and Algebraic Thinking: 4.OA.3 86 Activity: Equations and Problems 86 Operations and Algebraic Thinking: 4.OA.4 89 Activity: The Prime Challenge 89 Operations and Algebraic Thinking: 4.OA.5 92 Activity: Number Generator 92 Number and Operations in Base Ten: 4.NBT.1 94 Activity: Making Models of Place Value 94 Number and Operations in Base Ten: 4.NBT.2 97 Activity: Expressing Numbers 97 Number and Operations in Base Ten: 4.NBT.3 100 Activity: Rounding Numbers 100 Number and Operations in Base Ten: 4.NBT.4 103 Activity: A Numbers Chain 103 Number and Operations in Base Ten: 4.NBT.5 106 Activity 1: Finding Errors in Multiplication 106 Activity 2: Stepping Forward with Multiplication 107 Number and Operations in Base Ten: 4.NBT.6 109 Activity 1: Demonstrating Division 109 Activity 2: Division Puzzles 110 Number and Operations—Fractions: 4.NF.1 113 Activity: Finding Equivalent Fractions 113 Number and Operations—Fractions: 4.NF.2 115 Activity: Comparing Fractions 115 Number and Operations—Fractions: 4.NF.3 118 Activity 1: Decomposing a Fraction 118 Activity 2: Mixed Number Game 119 Activity 3: Problems, Models, and Equations 120 Number and Operations—Fractions: 4.NF.4 127 Activity: Complete the Rows 128 Number and Operations—Fractions: 4.NF.5 130 Activity: Fraction Bingo 130 Number and Operations—Fractions: 4.NF.6 134 Activity 1: Matching Fractions and Decimals 134 Activity 2: Locating Decimals on a Number Line 135 Number and Operations—Fractions: 4.NF.7 139 Activity: Decimal Battle 140 Measurement and Data: 4.MD.1 142 Activity: Our Two Units of Measurement 142 Measurement and Data: 4.MD.2 144 Activity: Word Problems with Measurement 144 Measurement and Data: 4.MD.3 147 Activity: Measuring Rectangles 147 Measurement and Data: 4.MD.4 151 Activity: Pencils and Line Plots 151 Measurement and Data: 4.MD.5 154 Activity: Making an Angle 154 Measurement and Data: 4.MD.6 157 Activity 1: Measuring Angles Virtually 157 Activity 2: Angle Estimate and Measure Game 158 Measurement and Data: 4.MD.7 160 Activity: Decomposing Angles 160 Geometry: 4.G.1 164 Activity 1: Drawing Geometric Figures 164 Activity 2: Shapes and Structures 165 Geometry: 4.G.2 168 Activity: Drawing Two-Dimensional Figures 168 Geometry: 4.G.3 171 Activity 1: Line Symmetry 171 Activity 2: Classroom Line Symmetry 172 SECTION 3: STANDARDS AND ACTIVITIES FOR GRADE 5 173 Operations and Algebraic Thinking: 5.OA.1 174 Activity: Evaluating Expressions 174 Operations and Algebraic Thinking: 5.OA.2 179 Activity: The Expression Game 179 Operations and Algebraic Thinking: 5.OA.3 182 Activity: Analyzing and Graphing Patterns 182 Number and Operations in Base Ten: 5.NBT.1 184 Activity: What’s My Number? 184 Number and Operations in Base Ten: 5.NBT.2 188 Activity: Charting Patterns in Powers of 10 188 Number and Operations in Base Ten: 5.NBT.3 190 Activity: Creating Numbers 190 Number and Operations in Base Ten: 5.NBT.4 193 Activity: Round the Number 193 Number and Operations in Base Ten: 5.NBT.5 196 Activity 1: Modeling Multiplication 196 Activity 2: Finding Errors in Multiplication 197 Number and Operations in Base Ten: 5.NBT.6 200 Activity 1: Piecing Together Division 200 Activity 2: Modeling Division 201 Number and Operations in Base Ten: 5.NBT.7 204 Activity 1: Place Value, Addition, and Subtraction of Decimals 204 Activity 2: Modeling Multiplication and Division of Decimals 205 Number and Operations—Fractions: 5.NF.1 209 Activity 1: Adding Parts of a Whole 209 Activity 2: Finding a Match 210 Number and Operations—Fractions: 5.NF.2 214 Activity: Adding and Subtracting Fractions 214 Number and Operations—Fractions: 5.NF.3 217 Activity: Relating Fractions to Division 217 Number and Operations—Fractions: 5.NF.4 219 Activity 1: Modeling Multiplication of Fractions 220 Activity 2: Tiling Rectangles with Fractions 221 Number and Operations—Fractions: 5.NF.5 225 Activity: Scaling Numbers for Multiplication 226 Number and Operations—Fractions: 5.NF.6 228 Activity: Expanding a Recipe 228 Number and Operations—Fractions: 5.NF.7 231 Activity: Dividing Unit Fractions 231 Measurement and Data: 5.MD.1 235 Activity 1: Measurement Bingo 235 Activity 2: Measurement, Conversions, and Word Problems 236 Measurement and Data: 5.MD.2 242 Activity: Line Plots and Plant Height 242 Measurement and Data: 5.MD.3 247 Activity: Building a Rectangular Prism 247 Measurement and Data: 5.MD.4 249 Activity: Finding Volume 249 Measurement and Data: 5.MD.5 251 Activity 1: Finding the Volume of a Rectangular Prism 251 Activity 2: Using Formulas to Find the Volume of Rectangular Prisms 253 Activity 3: Packing Rectangular Prisms 254 Geometry: 5.G.1 257 Activity: Constructing a Coordinate Plane 257 Geometry: 5.G.2 260 Activity: Graphing Relationships 260 Geometry: 5.G.3 263 Activity: Naming Quadrilaterals 263 Geometry: 5.G.4 267 Activity: A Hierarchy of Two-Dimensional Figures 267 INDEX 271
JUDITH A. MUSCHLA has over twenty-five years of experience as a mathematics educator in South River, New Jersey. As a team leader, she wrote several math curriculums and conducted workshops for teachers and parents. GARY ROBERT MUSCHLA taught in Spotswood, New Jersey, for more than twenty-five years; his specialties include mathematics at the middle school level, reading, and writing. Judith and Gary have coauthored several very successful math activity 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-BERRY teaches mathematics at Monroe Township Middle School in Monroe, New Jersey and has collaborated with Judith and Gary on four previous math books, including Teaching the Common Core Math Standards with Hands-On Activities, Grades 6-8 and Math Starters, Second Edition.
Ready-to-Go Activities Correlated to the Common Core State Standards for Mathematics The Common Core math standards have been adopted in almost every state. This book is the first to provide hands-on activities specifically created to address all Common Core Standards for Grades 3-5. Brief background information on each standard, detailed instructions, and handy reproducibles make implementing these activities a breeze, and most activities can be done in a single class period All of the activities in Teaching the Common Core Math Standards with Hands-On Activities are designed to capture students’ attention and to help them build critical thinking skills, learn how to communicate math concepts, and hone problem-solving abilities. In addition, many of the activities are marked according to three special components: Collaborative learning Real world tie-in Technology-based lesson There’s no guesswork involved here. You’ll know immediately what each lesson requires, how to set it up, and what to watch out for as students learn. The authors have also included plenty of suggestions for adapting activities to your unique classroom setting. No one knows your students better than you do, and with this book, you’ll be able to use the Common Core math standards to build the foundation for math success. Praise for Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 “Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 is a valuable tool for all teachers who want to actively engage all students while meeting the needs of their different learning styles. This book utilizes hands-on activities to satisfy the common core standards while allowing for differentiated instruction. A must-have for all teachers who want their students to practice the basics as well as challenge them.” —Linda Bystrek, Elementary School Teacher, Old Bridge Township Public Schools, New Jersey
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