Activities (by Topic) |
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xv | |
Video List (by Activity Number) |
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xix | |
About the Authors |
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xx | |
Preface |
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xxii | |
Acknowledgments |
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xxiv | |
Introduction: We Know Manipulatives Matter, but ... |
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1 | (29) |
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2 | (1) |
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Why Are Manipulatives Important for Students? |
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2 | (11) |
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Attributes of Manipulatives |
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13 | (5) |
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Considerations for Distance Learning |
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18 | (1) |
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Preparing to Use Manipulatives Effectively |
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18 | (5) |
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Managing Your Manipulatives |
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23 | (2) |
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Frequently Asked Questions |
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25 | (3) |
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28 | (2) |
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Chapter 1 Two-Color Counters |
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30 | (36) |
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Activity 1.1 One-to-One Correspondence |
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32 | (2) |
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34 | (2) |
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Activity 1.3 More and Less |
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36 | (2) |
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Activity 1.4 Sorting and Counting |
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38 | (2) |
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Activity 1.5 Decomposing Numbers Into Pairs in More Than One Way |
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40 | (4) |
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44 | (2) |
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Activity 1.7 Commutative Property of Addition With Two Colors |
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46 | (2) |
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Activity 1.8 Ten Ones and Some More Ones and One Group of Ten and Some More Ones |
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48 | (2) |
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Activity 1.9 Even and Odd |
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50 | (4) |
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Activity 1.10 Building Equal Groups for Multiplication |
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54 | (2) |
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Activity 1.11 Building Arrays for Multiplication |
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56 | (2) |
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Activity 1.12 Distributive Property of Multiplication Over Addition With Two-Color Counters |
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58 | (4) |
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Activity 1.13 Data Collection and Graphing |
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62 | (2) |
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64 | (2) |
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66 | (26) |
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Activity 2.1 Linking Cubes as Counters |
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68 | (2) |
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Activity 2.2 Comparing Quantities (More and Less) |
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70 | (2) |
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Activity 2.3 Connecting Models to Number Lines Using Addition |
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72 | (2) |
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Activity 2.4 Representing Compare Problems With a Bar Model |
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74 | (2) |
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Activity 2.5 Associative Property of Addition With Three Towers |
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76 | (2) |
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Activity 2.6 "Groups Of" Multiplication |
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78 | (2) |
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Activity 2.7 Commutative Property of Multiplication (3 × 9 vs. 9 × 3) |
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80 | (2) |
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Activity 2.8 Division With Grouping |
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82 | (4) |
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Activity 2.9 Graphing Towers (Include Scaled Bar Graphs) |
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86 | (2) |
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Activity 2.10 Measuring Trains |
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88 | (2) |
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90 | (2) |
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Chapter 3 Cuisenaire® Rods |
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92 | (30) |
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Activity 3.1 Addend Pairs |
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94 | (2) |
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Activity 3.2 Creating Bar Models for Addition |
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96 | (4) |
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Activity 3.3 Creating Bar Models for Subtraction |
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100 | (4) |
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Activity 3.4 Exploring Multiplication |
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104 | (2) |
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Activity 3.5 Creating Bar Models for Equal Groups Multiplication and Division |
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106 | (4) |
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Activity 3.6 Commutative Property of Multiplication (2 × 3 vs. 3 × 2) |
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110 | (2) |
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Activity 3.7 Associative Property of Multiplication With 2 × 3 × 4 |
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112 | (4) |
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Activity 3.8 Reasoning About Fractions |
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116 | (2) |
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Activity 3.9 Unit Fractions (Three One-Fourths Is the Same as Three-Fourths) |
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118 | (2) |
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120 | (2) |
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122 | (24) |
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Activity 4.1 Unit Squares as Counters |
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124 | (4) |
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Activity 4.2 Repeated Addition With Unit Squares |
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128 | (2) |
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Activity 4.3 Iterating Unit Squares to Find Area |
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130 | (2) |
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Activity 4.4 Connecting Iterated Unit Squares and Multiplication as Ways to Find Area |
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132 | (4) |
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Activity 4.5 Area Is Additive: Finding Areas of Rectilinear Figures |
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136 | (2) |
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Activity 4.6 Distributive Property of Multiplication Over Addition |
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138 | (4) |
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Activity 4.7 Same Area and Different Perimeters |
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142 | (3) |
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145 | (1) |
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Chapter 5 Base-Ten Blocks |
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146 | (34) |
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Activity 5.1 "Ten Ones and Some More Ones" vs. "One Ten and Some More Ones" |
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150 | (4) |
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Activity 5.2 Counting and Grouping to One Hundred |
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154 | (2) |
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Activity 5.3 Representing Two- and Three-Digit Numbers |
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156 | (2) |
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Activity 5.4 Representing Numbers as Quick Images |
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158 | (4) |
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Activity 5.5 Comparing Two-Digit Numbers |
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162 | (4) |
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Activity 5.6 Counting Up and Down by One, Ten, or One Hundred |
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166 | (4) |
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Activity 5.7 Adding With Base-Ten Blocks |
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170 | (2) |
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Activity 5.8 Subtracting With Base-Ten Blocks |
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172 | (4) |
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Activity 5.9 Multiplying by Multiples of Ten |
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176 | (3) |
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179 | (1) |
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180 | (20) |
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Activity 6.1 How Many Ways to Compose a Hexagon? |
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182 | (2) |
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Activity 6.2 Composing and Decomposing Larger Figures With Pattern Blocks |
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184 | (2) |
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Activity 6.3 How Many Ways to Compose a Given Value? |
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186 | (4) |
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Activity 6.4 Finding the Perimeter of Pattern-Block Shapes |
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190 | (2) |
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Activity 6.5 Equivalent Fractions With Pattern Blocks |
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192 | (4) |
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Activity 6.6 Attending to the "Whole" When Comparing Fractions |
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196 | (3) |
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199 | (1) |
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Chapter 7 Fraction Manipulatives (Towers, Circles, Tiles/Bars, and Squares) |
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200 | (34) |
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Activity 7.1 Whole Numbers as Fractions With Circles and Rectangles |
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204 | (4) |
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Activity 7.2 "One" as a Fraction |
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208 | (2) |
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Activity 7.3 Representing and Counting Unit Fractions |
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210 | (4) |
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Activity 7.4 Iterating Unit Fractions to Make a Whole |
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214 | (2) |
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Activity 7.5 Fraction Equivalence |
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216 | (2) |
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Activity 7.6 Comparing Fractions With Like Numerators |
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218 | (4) |
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Activity 7.7 Comparing Fractions With Like Denominators |
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222 | (4) |
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Activity 7.8 Building a Set of Fraction Bars |
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226 | (4) |
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Activity 7.9 Fractions on the Clock (Quarters and Halves) |
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230 | (3) |
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233 | (1) |
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Chapter 8 Tangrams and Geoboards |
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234 | (26) |
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Activity 8.1 Composing and Decomposing Shapes With Tangrams |
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238 | (2) |
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Activity 8.2 Examining Geometric Relationships by Building a Tangram Set |
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240 | (4) |
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Activity 8.3 Finding Relative Values of Tangram Pieces |
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244 | (2) |
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Activity 8.4 Finding Halves, Thirds, and Fourths on a Geoboard |
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246 | (4) |
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Activity 8.5 Same-Sized Parts Need Not Be the Same Shape |
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250 | (4) |
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Activity 8.6 Comparing Polygons on the Geoboard |
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254 | (2) |
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Activity 8.7 Finding the Area of a Rectilinear Figure on a Geoboard |
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256 | (3) |
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259 | (1) |
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Chapter 9 Geometric Solids |
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260 | (18) |
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Activity 9.1 Identifying Faces of Geometric Solids as Two-Dimensional Figures |
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264 | (2) |
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Activity 9.2 Describing Geometric Solids |
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266 | (4) |
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Activity 9.3 Composing Geometric Solids |
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270 | (2) |
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Activity 9.4 Solids With Curved Surfaces |
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272 | (2) |
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Activity 9.5 Attributes of Geometric Solids |
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274 | (2) |
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276 | (2) |
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Chapter 10 Continuing the Journey |
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278 | (4) |
Glossary |
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282 | (2) |
References |
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284 | (1) |
Index |
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285 | |