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
