Hands-On Mathematics for Manitoba, Grade 3

Jennifer E. Lawson, PhD, is the creator of the Hands-On books published by Portage & Main Press. As senior writer and editor for the series, she has contributed to more than 50 publications for teachers and students. Jennifer provides professional development workshops for educators locally, nationally, and virtually, and is a Workplace Wellness Advisor. Her most recent book is a collective effort called Teacher, Take Care: A Guide to Well-Being and Workplace Wellness for Educators. She is also one of the founders of Mission to Mexico, an organization that supports schools in some of the most impoverished communities in Puerto Vallarta. Throughout her extensive career in education, Jennifer has worked as a classroom teacher, resource and special education teacher, consultant, principal, university instructor, and school trustee. She lives with her family in Winnipeg, Manitoba.

• 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