hands-onproblem solving

Grade 4

Digital Reproducible Masters

Senior Author Jennifer Lawson

WriterPat Steuart

Project ConsultantDianne Soltess

Mathematics Consultants Meagan Mutchmor, Manitoba Tina Jagdeo, Ontario Lara Jensen, Ontario

A Minds-On Approach

Winnipeg • Manitoba • Canada

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© 2013 Jennifer Lawson

This product may be reproduced under licence from Access Copyright, or with the express written permission of Portage & Main Press, or as permitted by law. No part of this file may be reproduced, transmitted, down-loaded, decompiled, reverse engineered, or stored in or introduced into any information storage and retrieval system, in any form or by any means, whether electronic or mechanical, now known or hereinafter invented, except as indicated below:

Usage

With your purchase of Hands-On Reproducible Masters, you are permitted to do the following:

Install Digital Reproducible Masters on one or more computers used by you, at home and at work.

Make a backup copy for safekeeping.

Reproduce pages, electronically or graphically, where noted for your classroom use.

You are not permitted to do the following:

Allow another person to use the product.

Rent, loan, sell, distribute, or redistribute the product to any other person or entity.

Make the product available on any file-sharing or application-hosting service.

Electronically send the product to another person.

Copy the materials other than as necessary to support the uses permitted.

Portage & Main Press gratefully acknowledges the financial support of the Province of Manitoba through the Department of Culture, Heritage & Tourism and the Manitoba Book Publishing Tax Credit and the Government of Canada through the Canada Book Fund (CBF) for our publishing activities.

Hands-On Problem Solving, Grade 4

Digital Reproducible Master ISBN 978-1-55379-369-4

Print ISBN 978-1-55379-348-9

100-318 McDermot Ave.

Winnipeg, MB Canada R3A 0A2

Email: books@portageandmainpress.com

Toll free: 1-800-667-9673

Fax free: 1-866-734-8477

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ContentsIntroduction to Hands-On Problem Solving Grade 4 1

Program Introduction 2Program Principles 2Big Ideas in Mathematics 2 Communication 2 Connections 3 Mental Math 3 Estimation 3 Reasoning 4 Technology 4 Visualization 4Problem Solving 4 What Is Problem Solving? 4 Best Practices in Teaching Problem Solving 5 Routine Problems 5 Non-Routine Problems 5 Extended Exploration Problems 7Implementing 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 8Guiding and Supporting Learning – Problem Solving 10Mathematics Correlation 11 Grade 4 Correlation Chart 11

The Hands-On Problem Solving Assessment Plan 13

Assessment for Learning 13Assessment as Learning 13Assessment of Learning 14Performance Assessment 14Portfolios 14Assessment Blackline Masters 16

Routine Problems 25

Implementation of Routine Problems 26 Problem Types 26 Teaching Routine Problems 27

1A Mad About Marbles 322A Gathering Acorns 353A Reading Challenge 384A The Largest Number 415A Taking Goats to the Fair 446A How Tall Is Spencer? 467A Pumpkin Seed Project 488A How Much TV? 509A 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

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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 125Guiding 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 224Teaching Extended Exploration Problems 224Guiding 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

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A NOTE TO TEACHERS: Understanding the Digital Reproducible Masters Reproducible masters are found in the Hands-On Problem Solving book and are an integral part of the Hands-On program. The Digital Reproducible Masters (DRMs) are the reproducible masters in digital format (PDF). The DRMs, once downloaded and saved to a computer or tablet, can be projected on a screen or printed for classroom use. MATCHING THE REPRODUCIBLE MASTER TO THE LESSON*

Each reproducible master has a sequential reference number, which can be found at the bottom of the page. For example, the grade 3 reproducible master 12A is from lesson 12A listed in the table of contents. The table of contents that comes with the Digital Reproducible Masters includes the page numbers found in the print book. You can match the digital reproducible masters to its lesson by using the same reference number or page number as the reproducible master in the print book. *You can find the lesson plan in the print book.

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Jade and Max are entered in the National Marble Competition.

Jade has 375 marbles in her bag.

Max has a bag of marbles too.

Together they have 523 marbles.

How many marbles does Max have?

Mad About Marbles

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