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Hands-On Mathematics for Manitoba, Grade 3

By Jennifer E. Lawson
Series: Hands-On Mathematics for Manitoba
Imprint: Portage & Main Press

Categories: Education, Mathematics, Elementary
Softcover, coil bound : 9781553791263, 370 pages, June 2007

Table of contents

Introduction to Hands-On Mathematics1

  • Program Introduction 1
  • Program Principles 1
  • The Big Ideas of Mathematics 1
  • Hands-On Mathematics Learning Outcomes 5
  • Program Implementation 8
  • Classroom Environment 9
  • Timelines 9
  • Classroom Management 9
  • Planning Guidelines 10

Assessment 13

  • The Hands-On Mathematics Assessment Plan 13

Mental Math 26

  • Introduction to Mental Math – Grade 3 26
  • Grade 3 Mental Math Strategies 28

Websites 53

Module 1: Patterns and Relations 57

  • Books for Children 58
  • Introduction 60
  • 1 Ongoing Patterns and Relations Activities 61
  • 2 Repeating Linear Patterns 65
  • 3 Increasing and Decreasing Patterns 72
  • 4 Number-Sequence Patterns 78
  • 5 Patterns in Addition and Subtraction 86
  • 6 Patterns in Multiplication 91
  • 7 Patterns in Structures 97
  • 8 Addition Equations Involving Symbols 103
  • 9 Subtraction Equations Involving Symbols 107
  • Problem-Solving Reproducible: Patterns and Relations 108
  • References for Teachers 110

Module 2: Statistics and Probability 113

  • Books for Children 114
  • Introduction 115
  • 1 Literature Connections 116
  • 2 TV Time 120
  • 3 Classroom Carnival 125
  • 4 Looking at Names 130
  • 5 The Typical Grade Three Student 133
  • 6 Weather or Not... 137
  • 7 Symbolic Graphs 143
  • 8 A Year in Time 146
  • 9 Line Plots 149
  • Problem-Solving Reproducible: Statistics and Probability 151
  • References for Teachers 153

Module 3: Shape and Space 155

  • Books for Children (Measurement) 156
  • Books for Children (3-D Objects and 2-D Shapes) 157
  • Introduction 158
  • 1 Measuring the Passage of Time 159
  • 2 Measuring the Passage of Time in Standard Units 162
  • 3 Days in a Month, Months of the Year 166
  • 4 Introducing Standard Measurement: Metre and Centimetre 171
  • 5 Measuring Objects by Height, Length, and Width 177
  • 6 Comparing and Ordering Objects by Mass 180
  • 7 Investigating Mass 184
  • 8 Perimeter 189
  • 9 More About Perimeter 192
  • 10 Exploring Two-Dimensional Shapes 196
  • 11 Regular and Irregular Polygons 203
  • 12 Identifying the Faces of Geometric Solids (Three-Dimensional Objects) 207
  • 13 Identifying, Comparing, and Contrasting Geometric Solids 211
  • 14 Investigating Nets 215
  • 15 Skeletons and Pictorial Representations of Three-Dimensional Solids 219
  • Problem-Solving Reproducible: Shape and Space 222
  • References for Teachers 223

Module 4: Number Concepts 225

  • Books for Children 226
  • Introduction 227
  • 1 Personal Numbers 228
  • 2 Rote Counting to 1 000 231
  • 3 Number Paths and Number Charts 236
  • 4 Skip Counting 245
  • 5 Skip Counting by 25s 249
  • 6 How Much is 1 000? 252
  • 7 Walk to 1 000 257
  • 8 One Hundred Pennies 260
  • 9 $1 000 Budget 263
  • 10 Doubling 266
  • 11 Numeral and Number-Word Chains 269
  • 12 Fractions 273
  • 13 More Fractions: Halves 276
  • 14 More Fractions: Fourths 279
  • 15 More Fractions: Thirds 281
  • 16 Still More Fractions 282
  • 17 Comparing Fractions 286
  • Problem-Solving Reproducible: Number Concepts 288
  • References for Teachers 290

Module 5: Number Operations 291

  • Books for Children 292
  • Introduction 294
  • 1 Addition and Subtraction Facts to 18 295
  • 2 More Addition and Subtraction Facts 298
  • 3 One- and Two-Digit Addition and Subtraction 302
  • 4 Addition and Subtraction with a Calculator 306
  • 5 Addition of Hundreds 308
  • 6 Compatible Numbers 311
  • 7 Addition with Three-Digit Numbers 316
  • 8 More Addition with Three-Digit Numbers 319
  • 9 Solving Multiple-Step Problems 322
  • 10 Subtraction with Three-Digit Numbers 323
  • 11 More Subtraction with Three-Digit Numbers 325
  • 12 Choosing a Method for Solving Problems 329
  • 13 Exploring Multiplication – Part One 331
  • 14 Exploring Multiplication – Part Two 333
  • 15 Exploring Multiplication – Part Three 335
  • 16 Exploring Multiplication – Part Four 339
  • 17 More Multiplication 341
  • 18 Commutative Property of Multiplication 345
  • 19 Multiplying by 1 and by 0 348
  • 20 Multiplication Facts 351
  • 21 Exploring Division – Part One 353
  • 22 Exploring Division – Part Two 354
  • 23 Exploring Division – Part Three 355
  • 24 The Inverse Relationship Between Multiplication and Division 358
  • Problem-Solving Reproducible: Number Operations 362
  • References for Teachers 364

Access Digital Resources 365

Description

Hands-On Mathematics for Manitoba is the only mathematics program you will need for the entire year. Based on the latest research, Hands-On Mathematics for Manitoba focuses on the big ideas of mathematics: communication, connections, concepts and skills, mental math and estimation, problem solving, reasoning, technology, and visualization. This resource includes the following:

  • Mental Math
  • Patterns and Relations
  • Statistics and Probability
  • Shape and Space
  • Number Concepts
  • Number Operations

Designed for busy teachers like you, this one-of-a-kind resource has everything you need:

  • easy-to-follow lesson plans
  • hands-on step-by-step activities
  • FREE access to digital reproducibles
  • assessment tools, teacher references, materials lists, extension activities, and much more!