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, 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 5 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 5 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 15 Routine Problems 23 Implementation of Routine Problems 24 Problem Types 24 Teaching Routine Problems 25 1A The Super-Duper Six-Dice Game 30 2A Estimating the Number of Seeds 33 3A Debating Groups 36 4A Stacking Loonies 38 5A Pelican Eggs 41 6A If Colin Filled Five Albums 44 7A Collecting Money 46 8A Paddling Puzzler 48 9A Youngest to Oldest 50 10A Evaporating Water 52 11A Picking Blueberries 54 12A One Million Eggs 56 13A Lilac Bush Buds 58 14A Building a Sandbag Dike 60 15A Replacing Boards on the Boardwalk 62 16A Gestation Period: Humans vs. Rabbits 64 17A Playground Perimeter 67 18A Don’t Forget the Sunblock! 69 19A Running Long-Jump Total 72 20A How Many Mosquitoes? 74 21A Spiders Weigh-In 76 22A Chocolate Brownies 78 23A Many Grains of Rice 80 24A Mr. Mekanic’s Alphabet Patterns 83 25A What Did He Say? 85 26A The “Run for Heart Health” Race 87 27A Yan’s Rectangular Chicken Coop 89 28A Spray Painting a Graffiti Wall 91 29A Knit-Wit Scarves 93 30A Geocaching 95 31A Buying an Aquarium Pump 97 32A Building a Birdhouse 100 33A Painting the Pool 102 34A Smoking the Beehives 104 35A Shapes With Parallel Lines 106 36A Reflected Image 108 37A Shapes in the Sand 111 38A Two Weeks of Physical Activity 115 39A Bouncing Balls 120 40A Heads or Tails? 122 Non-Routine Problems 125 Implementation of Non-Routine Problems 126 Teaching Non-Routine Problems 129 An Additional Resource for Solving Non-Routine Problems 131 Guiding and Supporting Learning: Non-Routine Problems 132 1B Venetian Blind Riddle 133 2B How Many Handshakes? 135 3B The Order of the Coins 137 4B The Sequence of Shapes on the String 140 5B Multiplication Patterns With 36 as a Factor 142 6B Let’s Make a Comic-Book Deal 145 7B Who Rides Which Bus? 147 8B One of These Nets is Not Like the Others 149 9B Number Sentence Challenge 151 10B Individual Point Scores 154 11B The Best Cellphone Plan 156 12B Spring Picnic Food Tickets 160 13B Rolling Lucky Seven 163 14B A Baby’s Mass 166 15B Opening Day at the Film Festival 169 16B How Many Songs are on Ravi’s MP3 Player? 171 17B Making Waterproof Sleeping-Bag Covers 173 18B Making a Slideshow 175 19B How Many Fewer Strides? 177 20B Seating at Ted’s Bistro 179 21B A Cube Number Palindrome 182 22B Charm Challenge 184 23B Along the Edges of a Cube 186 24B Less Than $1 188 25B A Total of 41 190 26B The Cambridge Falls Canoe Challenge 192 27B Sam’s Sister’s Grass-Cutting Business 194 28B Andy’s Travels 196 29B Mr. Banerjee’s Ladder 198 30B Jellybean Countdown 200 31B Amanda’s Darts Scores 202 32B Delivering Surveys 204 33B Using Only the Number 5 206 34B 1 Through 9 208 35B Returning Pennies to the Bank 210 36B A Sum of 86 212 37B Halloween Costume Combinations 214 38B Half of Half of Half... 216 39B Edible Mushrooms 218 40B Combinations of Support 220 Extended Exploration Problems 223 Implementation of Extended Exploration Problems 224 Teaching Extended Exploration Problems 224 Guiding and Supporting Learning: Extended Exploration Problems 228 1C How Many Football Fields? 229 2C My Dream Bedroom 232 3C Fractions of a Tangram 234 4C Estimating the Number of Words on a Page 238 5C The Last Chip 240 6C Opening Day Giveaways 242 7C An Old Record Collection 244 8C Jason’s Stained-Glass Design 246 9C Jonas’s Five-Layered 3-D Block Structure 248 10C Flushing Water Down the Toilet 250 Appendix 253 References 258 About the Authors 259