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Hands-On Problem Solving, Grade 1

A Minds-On Approach

Canada-wide

By Jennifer E. Lawson
Series: Hands-On Problem Solving
Imprint: Portage & Main Press

Categories: Education, Mathematics, Elementary
Softcover, coil bound : 9781553793380, 256 pages, June 2012

Table of contents

Introduction to Hands-On Problem Solving Grade 1 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 5
    • What Is Problem Solving? 5
    • Best Practices in Teaching Problem Solving 5
    • Routine Problems 5
    • Non-Routine Problems 6
    • Extended Explorations 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 9
  • Blackline Masters to Guide and Support Learning – Problem Solving 10
  • Mathematics Correlation 11
  • Grade 1 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 Blackline Masters 16

Routine Problems 25

  • Implementation of Routine Problems 26
  • Problem Types 26
  • Teaching Routine Problems 27
    • 1A Cole Finds Seashells 32
    • 2A Jake Has Goldfish 35
    • 3A Mrs. Kahn’s Students Take the Bus 37
    • 4A Charlie Makes Pattern Trains 39
    • 5A Cheyenne Recycles Juice Boxes 41
    • 6A Lester Has Jellybeans 43
    • 7A Jan and Bob See Birds 45
    • 8A Ben Sees Frogs 47
    • 9A Tammy Sees Squirrels 49
    • 10A Max Has a Birthday Cake With Candles 51
    • 11A Cookies in a Cookie Jar 53
    • 12A Bees Go in the Hive 56
    • 13A Hiding Books Under the Rug 59
    • 14A Jeffrey Writes a Math Poem 62
    • 15A Juan Counts Boots and Shoes 64
    • 16A Pam Sees Ladybugs 67
    • 17A Liam Plants Seeds 70
    • 18A Jacob Paints Pictures to Hang 72
    • 19A Pat Is Making Pumpkin Cookies 74
    • 20A Tariq and the Horses 76
    • 21A Janet’s Birthday Party 78
    • 22A Mrs. Joyal’s Class Goes Swimming 80
    • 23A Hot Chocolate for the School Patrols 83
    • 24A People on the Bus 85
    • 25A Janey Plants Corn, Beans, and Squash 88
    • 26A Ricardo Puts Money Into his Piggy Bank 90
    • 27A Gobin Sees Bugs in the Garden 92
    • 28A A Seesaw at Brownlee School 94
    • 29A Emma Takes Gymnastics Lessons 96
    • 30A Ming Makes a Pattern With Lights 98
    • 31A Tina Is Making a Bracelet 100
    • 32A Jeremy Makes a Pattern 102
    • 33A Barry and Devon Help Build Patios 104
    • 34A Max Draws Monkeys 109
    • 35A Carson Measures Objects on a Scale 111
    • 36A Manuel Sorts Shapes 113
    • 37A Sherry Plays With Pattern Blocks 115
    • 38A Steven Makes Patterns With Shape Stickers 117
    • 39A Aiden Sorts Three-Dimensional Objects 119
    • 40A Earl Collects Tins of Soup 121

Non-Routine Problems 123

  • Implementation of Non-Routine Problems 124
  • Teaching Non-Routine Problems 127
  • An Additional Resource for Solving
  • Non-Routine Problems 129
  • Blackline Master to Guide and Support Learning – Non-Routine Problems 130
    • 1B Saving Money for the Pet Shelter 131
    • 2B Comparing Sunny and Rainy Days 133
    • 3B Trading Stickers 135
    • 4B Game Bags for Number Cubes 137
    • 5B Picking Apples for Pies 139
    • 6B Hat and Mitten Combinations 141
    • 7B Making Aliens 143
    • 8B Counting Robins and Spiders 146
    • 9B Playing on a Number Line 148
    • 10B Petals on Flowers 150
    • 11B Painting the Fence 152
    • 12B A Pattern for Days of School 154
    • 13B Making a Keychain With Beads 156
    • 14B Toads Eating Flies 158
    • 15B Clarence the Clown’s Magic Bag 160
    • 16B A Pattern With Blocks 162
    • 17B Cam Chooses a Pet 165
    • 18B Lining Up 167
    • 19B Carl’s Coloured Cow Counters 169
    • 20B Spring Party Snacks 171
    • 21B Rows of Shape Cookies 173
    • 22B Animals in the Barn 175
    • 23B Making a Paper Chain 177
    • 24B A Pattern With Shapes 179
    • 25B Canada Day Cupcakes 181
    • 26B Decorating With Flags 183
    • 27B Pizza Day Snacks 185
    • 28B Making Repeating Patterns 187
    • 29B Wrapping Presents 189
    • 30B Going for a Bike Ride 191
    • 31B Lindsey Plays a Board Game 193
    • 32B Building Model Homes 195
    • 33B Juan Makes New Friends 197
    • 34B Tables for Students 199
    • 35B Phillip’s Toy Cars 201
    • 36B Monkeys on the Jungle Bus 203
    • 37B Coloured Bears on Numerals 205
    • 38B Four Rabbits Race to a Carrot 207
    • 39B Shannon Builds a Clay-Cube Corral 209
    • 40B How Many Children Are on the Play Structure? 211

Extended Exploration Problems 213

  • Implementation of Extended Exploration Problems 214
  • Teaching Extended Exploration Problems 214
  • Blackline Masters to Guide and Support Learning – Extended Explorations 218
    • 1C Sorting Bingo Chips 219
    • 2C Heads or Tails? 222
    • 3C Making Mother’s Day Bracelets 225
    • 4C Combinations of Blue and
    • Yellow Cubes 227
    • 5C Grouping Cookies in Equal Sets 229
    • 6C Plants for Mr. Green’s Flower Pots 232
    • 7C Rolling Number Cubes 234
    • 8C Using a Non-Standard Measurement 236
    • 9C Be a Shapes Detective! 238
    • 10C Making Numbers 241

Appendix 243

References 249

About the Authors 250

Description

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