Activities (by Topic) |
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xiv | |
Video List (by Activity Number) |
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xviii | |
About the Authors |
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xix | |
Preface |
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xxi | |
Acknowledgments |
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xxiii | |
Introduction: We Know Manipulatives Matter, but ... |
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1 | (27) |
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2 | (1) |
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Why Are Manipulatives Important for Students? |
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2 | (10) |
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Attributes of Manipulatives |
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12 | (5) |
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Considerations for Distance Learning |
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17 | (1) |
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Preparing to Use Manipulatives Effectively |
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18 | (4) |
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Managing Your Manipulatives |
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22 | (2) |
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Frequently Asked Questions |
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24 | (3) |
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27 | (1) |
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Chapter 1 Base-Ten Blocks |
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28 | (26) |
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Activity 1.1 Representing and Comparing Whole Numbers |
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32 | (4) |
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Activity 1.2 Building Numbers Beyond 10,000 |
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36 | (2) |
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Activity 1.3 Representing and Comparing Decimals |
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38 | (2) |
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Activity 1.4 Adding Decimal Fractions |
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40 | (2) |
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Activity 1.5 Subtracting Decimal Fractions |
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42 | (2) |
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Activity 1.6 Multiplying Whole Numbers Using the Distributive Property |
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44 | (2) |
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Activity 1.7 Multiplying Two-Digit Numbers |
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46 | (4) |
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Activity 1.8 Representing Division as Missing Factor Multiplication |
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50 | (3) |
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53 | (1) |
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Chapter 2 Fraction Manipulatives |
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54 | (38) |
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Activity 2.1 Building a Set of Fraction Bars |
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58 | (4) |
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Activity 2.2 Comparing Fractions |
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62 | (4) |
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Activity 2.3 Adding Fractions With Like Denominators |
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66 | (4) |
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Activity 2.4 Adding Fractions With Unlike Denominators |
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70 | (2) |
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Activity 2.5 Multiplying a Fraction and a Whole Number |
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72 | (4) |
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Activity 2.6 Multiplying a Fraction by a Fraction |
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76 | (4) |
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Activity 2.7 Dividing a Whole Number by a Unit Fraction |
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80 | (2) |
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Activity 2.8 Dividing a Fraction by a Whole Number |
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82 | (2) |
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Activity 2.9 Dividing a Fraction by a Fraction (With Remainder) |
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84 | (4) |
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Activity 2.10 What Happens When We Invert and Multiply? |
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88 | (3) |
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91 | (1) |
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Chapter 3 Cuisenaire® Rods |
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92 | (16) |
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Activity 3.1 Exploring Factors and Multiples |
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94 | (2) |
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Activity 3.2 Creating Bar Models for Equal Groups Multiplication and Division |
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96 | (2) |
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Activity 3.3 Creating Bar Models for Multiplicative Comparisons |
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98 | (2) |
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Activity 3.4 Reasoning About Fractions |
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100 | (2) |
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Activity 3.5 Dividing Fractions (Without Remainders) |
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102 | (2) |
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Activity 3.6 Representing Equivalent Ratios |
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104 | (2) |
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106 | (2) |
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Chapter 4 Unit Squares and Cubes |
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108 | (32) |
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Activity 4.1 Building Volume by Packing |
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110 | (2) |
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Activity 4.2 Calculating Volume for Rectangular Prisms |
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112 | (2) |
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Activity 4.3 Representing Ratios (Part: Part and Part: Whole) |
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114 | (2) |
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Activity 4.4 Building Factor Pairs |
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116 | (2) |
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Activity 4.5 Exploring a Constant Perimeter |
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118 | (2) |
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Activity 4.6 Exploring a Constant Area |
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120 | (2) |
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Activity 4.7 Building and Describing Patterns |
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122 | (2) |
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Activity 4.8 Creating a Line Plot From Data |
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124 | (2) |
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Activity 4.9 Modeling Exponents (Squares and Cubes) |
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126 | (2) |
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Activity 4.10 Identifying Median and Mode |
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128 | (4) |
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Activity 4.11 Understanding Mean |
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132 | (2) |
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Activity 4.12 Estimating Square Roots |
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134 | (2) |
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Activity 4.13 Modeling the Pythagorean Theorem |
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136 | (2) |
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138 | (2) |
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Chapter 5 Algebra Tiles and Two-Color Counters |
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140 | (36) |
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Activity 5.1 Representing Integers and Absolute Value |
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144 | (2) |
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Activity 5.2 Adding Integers With Like and Unlike Signs |
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146 | (4) |
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Activity 5.3 Subtracting Integers |
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150 | (4) |
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Activity 5.4 Multiplying Integers |
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154 | (2) |
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Activity 5.5 Representing Expressions and Combining Like Terms |
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156 | (4) |
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Activity 5.6 Solving Addition Equations |
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160 | (2) |
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Activity 5.7 Solving Multiplication Equations |
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162 | (2) |
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Activity 5.8 Solving Two-Step Equations |
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164 | (2) |
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Activity 5.9 Multiplying a Monomial and a Binomial |
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166 | (4) |
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Activity 5.10 Multiplying Two Binomials |
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170 | (4) |
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174 | (2) |
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Chapter 6 Geometric Strips and Solids |
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176 | (44) |
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Activity 6.1 Building and Naming Polygons |
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180 | (2) |
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Activity 6.2 Attributes of Polygons---Focus on Sides |
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182 | (2) |
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Activity 6.3 Attributes of Polygons---Focus on Angles |
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184 | (4) |
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Activity 6.4 Exploring Area: Rectangles and Parallelograms |
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188 | (2) |
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Activity 6.5 Exploring Area: Triangles |
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190 | (2) |
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Activity 6.6 Angles as Rotation |
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192 | (2) |
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Activity 6.7 Parallel Lines and Transversals |
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194 | (2) |
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Activity 6.8 Complementary and Supplementary Angles |
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196 | (2) |
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Activity 6.9 Modeling Similar Figures With Dilation |
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198 | (4) |
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Activity 6.10 Modeling Rigid Transformations |
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202 | (4) |
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Activity 6.11 Mapping Congruence With Transformations |
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206 | (2) |
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Activity 6.12 Angle Sum and Exterior Angles for Triangles |
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208 | (2) |
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Activity 6.13 Identifying Composed Figures |
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210 | (2) |
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Activity 6.14 Creating Nets for Solid Figures |
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212 | (2) |
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Activity 6.15 Calculating Surface Area From a Net |
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214 | (2) |
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Activity 6.16 Volume of Cones, Cylinders, and Spheres |
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216 | (3) |
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219 | (1) |
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220 | (30) |
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Activity 7.1 Multiplying Fractions With Area Models |
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222 | (4) |
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Activity 7.2 Creating a Line Plot |
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226 | (2) |
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Activity 7.3 Graphing in the Coordinate Plane |
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228 | (2) |
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Activity 7.4 Finding the Distance Between Points |
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230 | (2) |
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Activity 7.5 Graphing Proportional Relationships |
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232 | (4) |
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Activity 7.6 Slope and Similar Triangles |
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236 | (4) |
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Activity 7.7 Finding Lines of Symmetry |
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240 | (2) |
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Activity 7.8 Translation on the Geoboard |
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242 | (2) |
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Activity 7.9 Reflection on the Geoboard |
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244 | (2) |
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Activity 7.10 Rotation on the Geoboard (Isometric Board) |
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246 | (3) |
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249 | (1) |
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Chapter 8 Continuing the Journey |
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250 | (4) |
Glossary |
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254 | (2) |
References |
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256 | (1) |
Index |
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257 | |