hands-onproblem solving
Grade 5
Senior Author Jennifer Lawson
WriterTed Mickaniec
Project ConsultantDianne Soltess
Mathematics Consultants Meagan Mutchmor, Manitoba Tina Jagdeo, Ontario Lara Jensen, Ontario
A Minds-On Approach
Winnipeg • Manitoba • Canada
Digital Reproducible Masters
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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.
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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 5
Digital Reproducible Master ISBN 978-1-55379-947-4
Print ISBN 978-1-55379-363-2
100-318 McDermot Ave.
Winnipeg, MB Canada R3A 0A2
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ContentsIntroduction to Hands-On Problem Solving Grade 5 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 5 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 15
Routine Problems 23
Implementation of Routine Problems 24Problem Types 24Teaching 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
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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 131Guiding and Supporting Learning: Non-Routine Problems 132
1B Venetian Blind Riddle 1332B How Many Handshakes? 1353B The Order of the Coins 1374B The Sequence of Shapes on
the String 1405B Multiplication Patterns With 36
as a Factor 142 6B Let’s Make a Comic-Book Deal 1457B Who Rides Which Bus? 1478B One of These Nets is Not Like
the Others 1499B 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 224Teaching Extended Exploration Problems 224Guiding and Supporting Learning: Extended Exploration Problems 2281C How Many Football Fields? 2292C My Dream Bedroom 2323C Fractions of a Tangram 2344C Estimating the Number of Words
on a Page 238 5C The Last Chip 2406C Opening Day Giveaways 2427C An Old Record Collection 2448C Jason’s Stained-Glass Design 2469C Jonas’s Five-Layered 3-D Block
Structure 248 10C Flushing Water Down the Toilet 250
Appendix 253
References 258
About the Authors 259
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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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Date: __________________________ Name: ___________________________________________
ShareI used…
I used…
32 1A
Solve
Think
TalkWhich…?
Students in Mr. Bushey’s class are playing the Super-Duper Six-Dice Game. Jordan’s group is using six dice numbered 0–9 each.Jordan rolls these numbers: 8, 3, 0, 2, 9, 5.Mr. Bushey asks Jordan ton Make the largest number possible using the numerals shown on all
six dicen Make the smallest number possible using the numerals shown on
all six dicen Make the largest even number possible with an 8 in the thousands
placeWhat numbers does Jordan make?Estimate the difference between the largest number and the smallest number Jordan makes.
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