Hands-On Problem Solving is essential to learning mathematics. When actively engaged in problem solving, students use all the mathematical processes they need in order to achieve the goals of mathematics education and to support lifelong learning. In Hands-On Problem Solving, students are exposed to a wide range of problems in all areas of mathematics. They solve these problems by applying a combination of mathematical knowledge, tools, and strategies. They also explore a variety of methods for solving and confirming their solutions. The ability to use mathematical knowledge to solve problems is the goal for all students. Hands-On Problem Solving is an easy-to-use resource that helps teachers plan and implement best practices to meet this goal. In this book you will find problem-solving activities to incorporate into daily mathematics classes for an entire school year a correlation chart identifying the math concepts presented in each lesson tasks designed for specific outcomes and learning expectations from Canadian curriculum documents problems integrating other curricular areas such as language arts, science, and social studies materials lists, digital reproducibles, assessment suggestions, and much more! Download the FREE digital resources that accompany this book by following the instructions printed on the first page of the Appendix.

Table of Contents:
Introduction to Hands-On Problem Solving, Grade 4 1 Program Introduction 2 Program Principles 2 Big Ideas in Mathematics 2 Communication 2 Connections 3 Mental Math 3 Estimation 3 Reasoning 4 Technology 4 Visualization 4 Problem Solving 4 What Is Problem Solving? 4 Best Practices in Teaching Problem Solving 5 Routine Problems 5 Non-Routine Problems 5 Extended Exploration Problems 7 Implementing the Hands-On Problem-Solving Program 7 Program Format 7 Planning Your Year of Problem Solving 7 Curricular Connections 8 Supporting Literacy During Problem Solving 8 The Questioning Process 8 Additional Resources 8 A Note About Pennies 8 Guiding and Supporting Learning – Problem Solving 10 Mathematics Correlation 11 Grade 4 Correlation Chart 11 The Hands-On Problem Solving Assessment Plan 13 Assessment for Learning 13 Assessment as Learning 13 Assessment of Learning 14 Performance Assessment 14 Portfolios 14 Assessment Reproducibles 16 Routine Problems 25 Implementation of Routine Problems 26 Problem Types 26 Teaching Routine Problems 27 1A Mad About Marbles 32 2A Gathering Acorns 35 3A Reading Challenge 38 4A The Largest Number 41 5A Taking Goats to the Fair 44 6A How Tall Is Spencer? 46 7A Pumpkin Seed Project 48 8A How Much TV? 50 9A A Box of Chocolates 53 10A How Much Money Is Left? 55 11A Miranda’s Shadow 57 12A Collecting Cans of Soup 59 13A A Driving Holiday 61 14A The Shortest Living Man 63 15A Practising Piano 65 16A Mailing Letters 67 17A How Many Kilometres? 70 18A Summer Camp Supplies 72 19A Hoping to See the Concert 74 20A Eating Pizza 76 21A Buying Gum 78 22A Balls for the Golf Tournament 80 23A Stick-on Tattoos 82 24A Herding the Sheep 84 25A Discussing...Diapers? 86 26A Mathematics With Vowels and Consonants 88 27A Beads for Plaster Art 90 28A The Wild Monkey Roller Coaster 92 29A The Terry Fox Run Lemonade Fundraiser 94 30A T-Shirt Survey 96 31A Toothpick Shapes 98 32A Drawing 2-D Shapes 100 33A A Symmetrical Design 102 34A Building 3-D Skeletons 104 35A A Castle of 3-D Solids 106 36A Running Late 108 37A The Dog Run 111 38A Estimating Time 113 39A Not Keeping Time 115 40A A Long Bus Trip 117 Non-Routine Problems 119 Implementation of Non-Routine Problems 120 Teaching Non-Routine Problems 123 An Additional Resource for Solving Non-Routine Problems 125 Guiding and Supporting Learning – Non-Routine Problems 126 1B Silas’s Cap Collection 127 2B Building Numbers With Base-Ten Blocks 131 3B Number Sentences 133 4B Climbing Up the Well 135 5B Putting Away the Balls 137 6B Putting the Cake Orders Back in Sequence 139 7B Collecting Fossils 143 8B Building a Pyramid Model 146 9B Geese Flying South 149 10B How Many Marbles in Each Container? 152 11B Who Scored That Touchdown? 154 12B Considering Careers 156 13B The Archery Tournament 159 14B When Do the Children Rule the Schools? 162 15B Six Pieces of Blue Shoelace Licorice 164 16B Feeding the Pets 167 17B Going to the Soccer Tournament 171 18B Wendy’s Ice Cream Cart 174 19B Running Laps Around the Track 177 20B Making Stickers 179 21B Building a Light-Rail Transit System 181 22B Perimeter of A Rectangle 183 23B Leftover Pizza 185 24B Number Puzzler 187 25B Placing Numbers on a Number Line 190 26B How Many Cans of Paint? 192 27B Numbers on Lockers 194 28B Pizza for Charity 196 29B Megan Makes a Math Mobile 198 30B How Old Will Chico Be? 200 31B Saving for a Bike 202 32B Seven Layer Salad 205 33B Half of Half of Half... 207 34B How Many Girls and Boys? 209 35B In What Order Are the Shapes? 211 36B Hexagon Sandboxes 213 37B Singles and Doubles Badminton 215 38B Building a Patio 217 39B Spruce Up the School Day 219 40B Toothpick Houses 221 Extended Exploration Problems 223 Implementation of Extended Exploration Problems 224 Teaching Extended Exploration Problems 224 Guiding and Supporting Learning – Extended Exploration Problems 228 1C Number Architect 229 2C A Game That Lasts a Lifetime? 233 3C Curling Challenge 235 4C Designing a Garden 238 5C Turkey Fundraiser 241 6C What Is Wrong With the Clock? 245 7C Pattern Block Designs 248 8C Planning a Car Trip 251 9C Running Laps 254 10C Planning a Feast 256 Appendix 261 References 268 About the Authors 269