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6 Math Masters The University of Chicago School Mathematics Project ® Grade

Unit 2 Copyright © Wright Group/McGraw-Hill Contents iii Contents Study Link 1 1: Unit 1 Family Letter . . . . . 2 Tabbing the Student Reference Book . . . . 6 Survey Data . . . . . . . . . . . . . . . . . . . . . . . . . 7 Study Link 1 2: Mystery Line Plots and Landmarks . . . . . . . . . . . . . . . . . . . . . . . 8 Outliers and Gaps . . . . . . . . . . . . . . . . . . . . 9 Study Link 1 3: Stem-and-Leaf Plots . . . 10 Reviewing Stem-and-Leaf Plots . . . . . . . 11 Back-to-Back Stem-and-Leaf Plots . . . . . 12 Study Link 1 4: Median and Mean . . . . . 13 Defining the Mean . . . . . . . . . . . . . . . . . . . 14 Study Link 1 5: Range, Median, and Mean . . . . . . . . . . . . . . . . . . . . . . . 15 Calculating and Analyzing Landmarks . . 16 Mentally Calculating a Mean . . . . . . . . . . 17 The Climate in Omaha . . . . . . . . . . . . . . . 18 Study Link 1 6: Cooling Off . . . . . . . . . . . 19 Study Link 1 7: Using Bar Graphs . . . . . 20 Reviewing Bar Graphs . . . . . . . . . . . . . . . 21 Study Link 1 8: The Cost of Mailing a Letter . . . . . . . . . . . . . . . . . . 22 Identifying Jumps in Data Values . . . . . . 24 Parking Lot Charges . . . . . . . . . . . . . . . . . 25 Sports Team Survey . . . . . . . . . . . . . . . . . 26 A Magazine Survey . . . . . . . . . . . . . . . . . . 27 Study Link 1 9: Analyzing Circle Graphs . . . . . . . . . . . . . . . . . . . . 28 Using a Graph to Find the Largest Area . . . . . . . . . . . . . . . . . . . . . 30 Study Link 1 10: Perimeter and Area . . . 31 Grid-Paper Perimeters . . . . . . . . . . . . . . . 32 Study Link 1 11: The Population of River City . . . . . . . . . . . . . . . . . . . . . . . 34 Teaching Masters Unit 1 Study Link Masters Persuasive Graphs . . . . . . . . . . . . . . . . . . 35 Study Link 1 12: Survey Results . . . . . . . 36 Study Link 1 13: Unit 2 Family Letter . . . 37 Study Link 2 1: Large Numbers . . . . . . . 41 Walking Away with a Billion Dollars . . . . 43 Study Link 2 2: Writing Decimals . . . . . . 44 Modeling and Comparing Decimals . . . . . . . . . . . . . . . . . . . . . . . . 46 Study Link 2 3: Sports Records . . . . . . . 47 Modeling Subtraction of Decimals . . . . . . 48 Study Link 2 4: Multiplying by Powers of 10 . . . . . . . . . . . . . . . . . . . . 49 “What’s My Rule?” . . . . . . . . . . . . . . . . . . . 50 Study Link 2 5: Multiplying Decimals: Part 1 . . . . . . . . . . . . . . . . . 51

Unit 4 Unit 3 Copyright © Wright Group/McGraw-Hill iv Contents Estimating and Calculating Cost . . . . . . . 52 Whole Number Multiplication . . . . . . . . . . 53 Study Link 2 6: Multiplying Decimals: Part 2 . . . . . . . . . . . . . . . . . 54 A Mental Multiplication Strategy . . . . . . . 55 Modeling Decimal Multiplication . . . . . . . 56 Study Link 2 7: Dividing Numbers . . . . . 57 Study Link 2 8: Dividing Decimals . . . . . 58 Study Link 2 9: Using Scientific Notation . . . . . . . . . . . . . . . . . . . . . . . . . 59 Ground Areas of Buildings . . . . . . . . . . . . 60 Patterns and Powers of 10 . . . . . . . . . . . . 62 Study Link 2 10: Exponential Notation . . 63 Binary Numbers . . . . . . . . . . . . . . . . . . . . . 64 Study Link 2 11: Scientific Notation . . . . 65 Practicing Calculator Skills . . . . . . . . . . . . 66 Study Link 2 12: Unit 3 Family Letter . . . 67 General Patterns and Special Cases . . . 71 Number Patterns . . . . . . . . . . . . . . . . . . . . 72 Study Link 3 1: Variables in Number Patterns . . . . . . . . . . . . . . . . . . . . . . . . . 74 Study Link 3 2: General Patterns with Two Variables . . . . . . . . . . . . . . . . . . . 75 True and Not True Special Cases . . . . . . 76 Study Link 3 3: General Patterns with Two Variables . . . . . . . . . . . . . . . 77 “What’s My Rule?” for Geometric Patterns . . . . . . . . . . . . . . . . . . . . . . . . . 78 More Algebraic Expressions . . . . . . . . . . 79 Study Link 3 4: “What’s My Rule?” Part 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 Special Cases for Formulas . . . . . . . . . . . 81 Formula for a Brick Wall . . . . . . . . . . . . . . 82 Study Link 3 5: “What’s My Rule?” Part 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 Rates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 When an Object Is Dropped . . . . . . . . . . . 85 Study Link 3 6: Area and Perimeter . . . . 86 Using Graphs to Make Predictions . . . . . 88 Study Link 3 7: Spreadsheet Practice . . . . . . . . . . . . . . . . . . . . . . . . . 89 Study Link 3 8: Adding Positive and Negative Numbers . . . . . . . . . . . . . . . . 90 Spreadsheet ScrambleProblems . . . . . . 91 A Time Story . . . . . . . . . . . . . . . . . . . . . . . 92 Study Link 3 9: Ferris Wheel Time Graph . . . . . . . . . . . . . . . . . . . . . 93 Matching Events, Tables, and Graphs . . 94 Mystery Graphs . . . . . . . . . . . . . . . . . . . . . 95 Study Link 3 10: Comparing Pet-Sitting Profits . . . . . . . . . . . . . . . . . . . . . . . . . . 96 Reviewing Rules, Tables, and Graphs . . 97 Rate of Change Experiment . . . . . . . . . . . 98 The Shape of Change . . . . . . . . . . . . . . . . 99 Study Link 3 11: Unit 4 Family Letter . . . . . . . . . . . . . . . . . . . 100 Study Link 4 1: Equivalent Fractions . . . . . . . . . . . . . . . . . . . . . . . 105 Factor Rainbows . . . . . . . . . . . . . . . . . . . 106 Applications of the GCF . . . . . . . . . . . . . 108 Study Link 4 2: Comparing and Ordering Fractions . . . . . . . . . . . . . . . 109 Benchmark Fractions . . . . . . . . . . . . . . . 110 Fractions of a Square . . . . . . . . . . . . . . . 111 Study Link 4 3: Adding and Subtracting Fractions . . . . . . . . . . . . . . . . . . . . . . . 114 Using Fraction Strips to Add and Subtract . . . . . . . . . . . . . . . . . . . . 115 Paper Pool . . . . . . . . . . . . . . . . . . . . . . . . 116 Math Message 4 4 . . . . . . . . . . . . . . . . . 117 Study Link 4 4: , Fractions and Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . 118 Fraction Counts and Conversions . . . . . 119 Math Message 4 5 . . . . . . . . . . . . . . . . . 120 Study Link 4 5: Mixed-Number Practice . . . . . . . . . . . . . . . . . . . . . . . . 121 Representing Mixed Numbers . . . . . . . . 122 Study Link 4 6: Fraction Multiplication . . . . . . . . . . . . . . . . . . . . 123 Modeling Fraction Multiplication . . . . . . 124 A Nature Hike Problem . . . . . . . . . . . . . . 125 Math Message 4 7 . . . . . . . . . . . . . . . . . 126

Unit 6 Unit 5 Copyright © Wright Group/McGraw-Hill Contents v A Photo Album Page . . . . . . . . . . . . . . . . 127 Album Photos . . . . . . . . . . . . . . . . . . . . . . 128 Study Link 4 7: Multiplying Mixed Numbers . . . . . . . . . . . . . . . . . 129 Modeling Multiplication . . . . . . . . . . . . . . 130 Buying an Aquarium . . . . . . . . . . . . . . . . 131 Study Link 4 8: Fractions, Decimals, and Percents . . . . . . . . . . . . . . . . . . . 132 Renaming Fractions . . . . . . . . . . . . . . . . 133 Study Link 4 9: Decimals, Percents, and Fractions . . . . . . . . . . . . . . . . . . . 134 Fractions, Decimals, and Percents . . . . 135 Math Message 4 9 . . . . . . . . . . . . . . . . . 136 Study Link 4 10: Circle Graphs . . . . . . . 137 Estimating and Measuring Sector Size . . . . . . . . . . . . . . . . . . . . . 138 Study Link 4 11: Percent Problems . . . 139 Modeling Fractional Parts of a Number . . . . . . . . . . . . . . . . . . . . . . 140 Study Link 4 12: Unit 5 Family Letter . . . . . . . . . . . . . . . . . . . . . . . . . . 141 Study Link 5 1: Angles . . . . . . . . . . . . . . 145 Making an Angle Measurer . . . . . . . . . . 146 Constructing a Hexagon . . . . . . . . . . . . . 147 Study Link 5 2: Angle Relationships . . . 148 Angle Measures: Triangles and Quadrangles . . . . . . . . . . . . . . . . . . . . 149 Finding Sums of Angle Measures . . . . . 150 Applying Angle Relationships . . . . . . . . 151 Graphing Votes . . . . . . . . . . . . . . . . . . . . 152 Pet Survey . . . . . . . . . . . . . . . . . . . . . . . . 153 Study Link 5 3: Circle Graphs . . . . . . . . 154 Fractions of 360 . . . . . . . . . . . . . . . . . . . 155 Sums of Angle Measures in Polygons . . . . . . . . . . . . . . . . . . . . . 156 Study Link 5 4: More Polygons on a Coordinate Grid . . . . . . . . . . . . . . . . . 157 X and O —Tic-Tac-Toe . . . . . . . . . . . . . . 158 Plotting Triangles and Quadrangles . . . 159 Study Link 5 5: Transforming Patterns . . . . . . . . . . . . . . . . . . . . . . . . 160 Degrees and Directions of Rotation . . . 161 Scaling Transformations . . . . . . . . . . . . . 162 Study Link 5 6: Congruent Figures and Copying . . . . . . . . . . . . . . . . . . . . 163 Quadrangles and Congruence . . . . . . . . 164 Study Link 5 7: Angle Relationships . . . 166 Circle Constructions . . . . . . . . . . . . . . . . 167 Octagon Construction . . . . . . . . . . . . . . . 168 Study Link 5 8: Isometry Transformations on a Grid . . . . . . . . 169 Inscribing a Circle in a Triangle . . . . . . . 170 Constructing Perpendicular Bisectors . . 171 Study Link 5 9: Parallel Lines and a Transversal . . . . . . . . . . . . . . . . . . . 172 Angle Relationships and Algebra . . . . . 173 Study Link 5 10: Parallelogram Problems . . . . . . . . . . . . . . . . . . . . . . . 174 Using Quadrangles to Classify Quadrangles . . . . . . . . . . . . . . . . . . . . 175 Study Link 5 11: Unit 6 Family Letter . . . 176 Study Link 6 1: Practice with Fractions . . . . . . . . . . . . . . . . . . . 180 Products and Sums of Reciprocals . . . . 181 Finding Reciprocals . . . . . . . . . . . . . . . . . 182 Study Link 6 2: Fraction Division . . . . . 183 Complex Fractions . . . . . . . . . . . . . . . . . 184 Dividing Fractions and Mixed Numbers . . . . . . . . . . . . . . . . . 185

Copyright © Wright Group/McGraw-Hill vi Contents Study Link 6 3: Subtraction of Signed Numbers . . . . . . . . . . . . . . . . . . . . . . . 186 Modeling Subtraction with Signed Numbers . . . . . . . . . . . . . . . . . . . . . . . 187 Positive and Negative Tiles . . . . . . . . . . 188 The Absolute Value of a Number . . . . . 189 Study Link 6 4: , / of Signed Numbers . . . . . . . . . . . . . . . . . . . . . . . 190 A Multiplication Story . . . . . . . . . . . . . . . 191 Patterns with Signed Numbers . . . . . . . 192 Study Link 6 5: Turn-Around Patterns . . . . . . . . . . . . . . . . . . . . . . . . 193 Properties of Numbers . . . . . . . . . . . . . . 194 Renaming Repeating Decimals . . . . . . . 195 Study Link 6 6: Using Order of Operations . . . . . . . . . . . . . . . . . . . 196 Another Grouping Symbol . . . . . . . . . . . 197 Order of Operations . . . . . . . . . . . . . . . . 198 Study Link 6 7: Number Sentences . . . 199 Ordering Operations . . . . . . . . . . . . . . . . 200 Name-Collection Boxes . . . . . . . . . . . . . 201 Study Link 6 8: Solving Simple Equations . . . . . . . . . . . . . . . . . . . . . . 202 Solving Challenging Equations . . . . . . . 203 Study Link 6 9: Solving Pan-Balance Problems . . . . . . . . . . . . . . . . . . . . . . . 204 Pan-Balance Problems . . . . . . . . . . . . . . 205 Study Link 6 10: Balancing Equations . . . . . . . . . . . . . . . . . . . . . . 206 Equations . . . . . . . . . . . . . . . . . . . . . . . . . 207 Pan-Balance Equations . . . . . . . . . . . . . 208 Study Link 6 11: Solving Equations . . . 209 Study Link 6 12: Review . . . . . . . . . . . . 210 Reviewing Relation Symbols and Inequalities . . . . . . . . . . . . . . . . . . . . . 211 Graphing Compound Inequalities . . . . . 212 Study Link 6 13: Unit 7 Family Letter . . . . . . . . . . . . . . . . . . . 213 Study Link 7 1: Outcomes and Probabilities . . . . . . . . . . . . . . . . . . . . 217 Carnival Games . . . . . . . . . . . . . . . . . . . . 218 Carnival Games Records . . . . . . . . . . . . 219 Random-Number Results . . . . . . . . . . . . 220 Study Link 7 2: Using Random Numbers . . . . . . . . . . . . . . . . . . . . . . . 221 Predict Which Blocks Are in a Bag . . . . 222 A Table of Random Digits . . . . . . . . . . . 223 Study Link 7 3: Making Organized Lists . . . . . . . . . . . . . . . . . . . . . . . . . . . 224 Coin-Toss Experiment . . . . . . . . . . . . . . 225 Tree Diagrams . . . . . . . . . . . . . . . . . . . . . 226 Maze . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 227 Study Link 7 4: Lists and Tree Diagrams . . . . . . . . . . . . . . . . . . . . . . 228 An Amazing Contest . . . . . . . . . . . . . . . . 229 Analyzing the Amazing Contest . . . . . . . 230 Study Link 7 5: A Random Draw and a Tree Diagram . . . . . . . . . . . . . 231 A Coin-Flipping Experiment . . . . . . . . . . 232 Study Link 7 6: Venn Diagrams . . . . . . 233 Reviewing Venn Diagrams . . . . . . . . . . . 234 Frequency Tables and Venn Diagrams . . . . . . . . . . . . . . . . . . . . . . 235 Study Link 7 7: More Tree Diagrams . . . . . . . . . . . . . . . . . . . . . . . 236 A Coin-Flipping Experiment . . . . . . . . . . 237 Making a Fair Game . . . . . . . . . . . . . . . . 238 Study Link 7 8: Reviewing Probability . . . . . . . . . . . . . . . . . . . . . . 239 Pascal’s Triangle . . . . . . . . . . . . . . . . . . . 240 Probability and Pascal’s Triangle . . . . . 241 Study Link 7 9: Unit 8 Family Letter . . . 242 Unit 7

Copyright © Wright Group/McGraw-Hill Contents vii Study Link 8 1: More Rates and Proportions . . . . . . . . . . . . . . . . . . . . . 246 Patterns and Equations . . . . . . . . . . . . . 247 Study Link 8 2: More Rate Problems and Proportions . . . . . . . . . . . . . . . . . 248 Study Link 8 3: Calculating Rates . . . . . 249 Ingredients for Peanut Butter Fudge . . . . . . . . . . . . . . . . . . . . . . . . . 250 Study Link 8 4: Food Costs as Unit Rates . . . . . . . . . . . . . . . . . . . . . . 251 Calorie Use for a Triathlon . . . . . . . . . . . 252 Study Link 8 5: Calculating Calories from Fat . . . . . . . . . . . . . . . . . . . . . . . 253 Planning a Meal . . . . . . . . . . . . . . . . . . . . 254 Rate Problems . . . . . . . . . . . . . . . . . . . . . 255 Study Link 8 6: Solving Ratio Problems . . . . . . . . . . . . . . . . . . . . . . . 256 Study Link 8 7: Body Composition by Weight . . . . . . . . . . . . . . . . . . . . . . 257 Fractions, Decimals, and Percents . . . . 258 The World of Percents . . . . . . . . . . . . . . 259 Study Link 8 8: Home Data . . . . . . . . . . 260 Converting and Rounding . . . . . . . . . . . . 262 From Fractions to Percents . . . . . . . . . . 263 A Pizza Problem . . . . . . . . . . . . . . . . . . . 264 Study Link 8 9: Scale Drawings . . . . . . 265 Considering Size Changes . . . . . . . . . . . 266 Reductions: Scale Models . . . . . . . . . . . 267 Perimeter of Figures . . . . . . . . . . . . . . . . 268 Study Link 8 10: Similar Polygons . . . . 269 Identifying Proportions . . . . . . . . . . . . . . 270 Cutting It Down to Size . . . . . . . . . . . . . . 271 Survey Slips . . . . . . . . . . . . . . . . . . . . . . . 272 Study Link 8 11: Comparing Ratios . . . 273 Name-Collection Boxes . . . . . . . . . . . . . 274 Finding the Slope of a Line . . . . . . . . . . 275 Study Link 8 12: Rate and Ratio Review . . . . . . . . . . . . . . . . . . . . . . . . 277 Leonardo’s Rabbits . . . . . . . . . . . . . . . . . 279 Study Link 8 13: Unit 9 Family Letter . . . . . . . . . . . . . . . . . . . . . . . . . . 280 Study Link 9 1: Multiplying Sums . . . . . 285 Study Link 9 2: Using the Distributive Property . . . . . . . . . . . . . . . . . . . . . . . 286 Applying the Distributive Property . . . . . 287 Study Link 9 3: Combining Like Terms . . . . . . . . . . . . . . . . . . . . . 288 Simplifying and Evaluating Expressions . . . . . . . . . . . . . . . . . . . . 289 Area and Variables . . . . . . . . . . . . . . . . . 290 Study Link 9 4: Simplifying Expressions . . . . . . . . . . . . . . . . . . . . 291 Variable -Term Tiles . . . . . . . . . . . . . . . . . 292 Constant -Term Tiles . . . . . . . . . . . . . . . . 293 Modeling and Simplifying Algebraic Expressions . . . . . . . . . . . . . . . . . . . . 294 Study Link 9 5: Equivalent Equations . . . . . . . . . . . . . . . . . . . . . . 295 Revisiting Pan Balances . . . . . . . . . . . . . 296 Writing and Solving Equations . . . . . . . . 297 More Simplifying and Solving of Equations . . . . . . . . . . . . . . . . . . . . 298 Study Link 9 6: Expressions and Equations . . . . . . . . . . . . . . . . . . 299 Challenge: Balancing a Mobile . . . . . . . 300 Evaluating Expressions . . . . . . . . . . . . . 301 Sample Spreadsheet . . . . . . . . . . . . . . . . 302 Study Link 9 7: Circumferences and Areas of Circles . . . . . . . . . . . . . 303 Stopping Distance for an Automobile . . 304 Study Link 9 8: Area Problems . . . . . . . 306 Areas of Parallelograms . . . . . . . . . . . . . 307 Areas of Triangles . . . . . . . . . . . . . . . . . . 308 Parallelograms . . . . . . . . . . . . . . . . . . . . . 309 Calculating the Volume of the Human Body . . . . . . . . . . . . . . . . . . . 310 Study Link 9 9: Area and Volume Problems . . . . . . . . . . . . . . . 311 Exploring Volume of Rectangular Prisms . . . . . . . . . . . . . . . . . . . . . . . . . 312 Partial Nets . . . . . . . . . . . . . . . . . . . . . . . . 313 Comparing Capacities Using Formulas . . . . . . . . . . . . . . . . . . . . . . . 314 Unit 8 Unit 9

Project Masters Unit 10 Copyright © Wright Group/McGraw-Hill Study Link 9 10: Solving Equations by Trial and Error . . . . . . . . . . . . . . . . 315 A Box Problem . . . . . . . . . . . . . . . . . . . . . 316 Study Link 9 11: Using Formulas . . . . . 317 Perimeter and Area Problems . . . . . . . . 318 Study Link 9 12: Pythagorean Theorem . . . . . . . . . . . . . . . . . . . . . . . 319 Pythagorean Triples . . . . . . . . . . . . . . . . 320 Study Link 9 13: Unit 9 Review . . . . . . . 321 An Indirect Measurement Problem . . . . 322 Proportions and Indirect Measurement .324 Study Link 9 14: Unit 10 Family Letter . . . . . . . . . . . . . . . . . . 325 Regular Dodecagon Templates . . . . . . . 329 Study Link 10 1: Tessellation Exploration . . . . . . . . . . . . . . . . . . . . . 330 Regular Polygons . . . . . . . . . . . . . . . . . . 331 Same-Tile Tessellations . . . . . . . . . . . . . 332 Investigating Same-Tile Tessellations .333 Study Link 10 2: Translations . . . . . . . . 334 An Angle Investigation . . . . . . . . . . . . . . 335 Rotation Symmetry . . . . . . . . . . . . . . . . . 336 Study Link 10 3: Rotation Symmetry . . 338 Lines of Symmetry . . . . . . . . . . . . . . . . . . 339 Study Link 10 4: A Topology Trick . . . . 340 Rope Puzzle . . . . . . . . . . . . . . . . . . . . . . . 341 Rope Puzzle Solution . . . . . . . . . . . . . . . 342 Topology Puzzles . . . . . . . . . . . . . . . . . . 343 Study Link 10 5: Another Topology Trick . . . . . . . . . . . . . . . . . . 344 Networks . . . . . . . . . . . . . . . . . . . . . . . . . . 345 Study Link 10 6: Family Letter . . . . . . . 346 The Solar System . . . . . . . . . . . . . . . . . . 350 Movement of the Planets . . . . . . . . . . . . 351 Planet Data . . . . . . . . . . . . . . . . . . . . . . . 352 Life on Other Planets . . . . . . . . . . . . . . . 354 What Can You Learn from the Data Tables? . . . . . . . . . . . . . . . . . . . 355 Data Analysis . . . . . . . . . . . . . . . . . . . . . . 356 Starting the Model . . . . . . . . . . . . . . . . . . 357 Modeling the Sizes of Planets and the Sun . . . . . . . . . . . . . . . . . . . . . . . . 358 Making a Scale Model of Your Planet . . . . . . . . . . . . . . . . . . . . . 359 Modeling Distances in the Solar System . . . . . . . . . . . . . . . . . . . 360 Some Solar System Features . . . . . . . . 362 Planet Information Label . . . . . . . . . . . . . 363 Conclusions . . . . . . . . . . . . . . . . . . . . . . . 364 Travel Times between Earth and the Sun . . . . . . . . . . . . . . . . . . . . . . . . 365 Estimate Travel Times . . . . . . . . . . . . . . 366 Describe a Distance . . . . . . . . . . . . . . . . 367 Spaceship Earth . . . . . . . . . . . . . . . . . . . 368 Rotating and Revolving with Earth . . . . 369 Movement of Planets around the Sun . . . . . . . . . . . . . . . . . . . . . . . . 370 Minimum Distances . . . . . . . . . . . . . . . . . 371 Minimum/Maximum Distances of Planets . . . . . . . . . . . . . . . . . . . . . . 372 Travel to Other Planets in Your Lifetime? . . . . . . . . . . . . . . . . . . 373 Your Age on Another Planet . . . . . . . . . 376 Predicting Body Sizes . . . . . . . . . . . . . . . 377 Anthropometry Project . . . . . . . . . . . . . . 378 viii Contents

Teaching Aid Masters Copyright © Wright Group/McGraw-Hill Contents ix Anthropometry Project: Tibia and Height . . . . . . . . . . . . . . . . . . . . . 380 Anthropometry Project: Neck and Wrist . . . . . . . . . . . . . . . . . . . . . . . 382 Height-and-Tibia or Neck-and-Wrist Grid . . . . . . . . . . . . . . . . . . . . . . . . . . . 383 How Far Can You Throw a Sheet of Paper? . . . . . . . . . . . . . . . . . . . . . . 384 Build a Paper Airplane . . . . . . . . . . . . . . 387 Testing Paper Airplane Designs, Part 1 . . . . . . . . . . . . . . . . . . . . . . . . . . 388 First International Paper Airplane Competition . . . . . . . . . . . . . 389 A Winning Paper Airplane Design . . . . . . . . . . . . . . . . . . . . . . . . . 390 Testing Paper Airplane Designs, Part 2 . . . . . . . . . . . . . . . . . . . . . . . . . . 393 Experiments with Air . . . . . . . . . . . . . . . . 394 Cross Sections of a Clay Cube . . . . . . . 396 Cross Sections of a Clay Cylinder . . . . . . . . . . . . . . . . . . . . . . . . 397 Cross Sections of a Clay Cone . . . . . . . 398 Cross Sections of a Clay Pyramid . . . . . . . . . . . . . . . . . . . . . . . . 399 Cross Sections of a Clay Torus . . . . . . . 400 Cross Sections of a Clay Prism . . . . . . . 401 Exit Slip . . . . . . . . . . . . . . . . . . . . . . . . . . . 404 Math Boxes . . . . . . . . . . . . . . . . . . . . . . . 405 Geometry Template . . . . . . . . . . . . . . . . 406 1 4-inch Grid Paper . . . . . . . . . . . . . . . . . . 407 1-centimeter Grid Paper . . . . . . . . . . . . . 408 15-Digit Place-Value Charts . . . . . . . . . . 409 Place-Value Charts (to millionths) . . . . . . . . . . . . . . . . . . . 410 Base-10 Grid: Flat (1.0) . . . . . . . . . . . . . 411 Base-10 Grid: Longs and Units . . . . . . . . . . . . . . . . . . . . . . . 412 Base-10 Grid: Units (0.001) . . . . . . . . . . 413 Computation Grid . . . . . . . . . . . . . . . . . . 414 Lattice Multiplication Grids . . . . . . . . . . . 415 Fraction Strips . . . . . . . . . . . . . . . . . . . . . 416 Coordinate Grid . . . . . . . . . . . . . . . . . . . . 417 Graph Paper (1 in.) . . . . . . . . . . . . . . . . . 418 Dot Paper (1 cm) . . . . . . . . . . . . . . . . . . . 419 Pan Balance . . . . . . . . . . . . . . . . . . . . . . . 420 Solving Equations . . . . . . . . . . . . . . . . . . 421 Venn Diagram . . . . . . . . . . . . . . . . . . . . . 422 A Golden Rectangle . . . . . . . . . . . . . . . . 423

Copyright © Wright Group/McGraw-Hill x Contents Game Masters 1 3 2 4 Angle TangleRecord Sheet . . . . . . . . . . 426 Build-ItCard Deck . . . . . . . . . . . . . . . . . . 427 Build-ItGameboard . . . . . . . . . . . . . . . . . 428 Credits/Debits Game . . . . . . . . . . . . . . . . 429 Credits/Debits Game Recording Sheets . . . . . . . . . . . . . . . 430 Credits/Debits Game (Advanced Version) . . . . . . . . . . . . . . 431 Divisibility Dash . . . . . . . . . . . . . . . . . . . . 432 Doggone Decimal . . . . . . . . . . . . . . . . . . 433 Electoral Vote Map . . . . . . . . . . . . . . . . . 434 Exponent BallGameboard . . . . . . . . . . . 436 Factor CaptorGrid 1 (Beginning Level) . . . . . . . . . . . . . . . . 437 Factor CaptorGrid 2 (Advanced Level) . . . . . . . . . . . . . . . . 438 Frac-Tac-Toe Number-Card Board . . . . . . . . . . . . . 439 2-4-8 Frac-Tac-Toe(Decimals) . . . . . . . 440 3-6-9 Frac-Tac-Toe(Decimals) . . . . . . . 441 2-4-8 Frac-Tac-Toe(Percents) . . . . . . . 442 3-6-9 Frac-Tac-Toe(Percents) . . . . . . . 443 2-4-5-10 Frac-Tac-Toe (Decimals) . . . . . . . . . . . . . . . . . . . . . 444 2-4-5-10 Frac-Tac-Toe (Percents) . . . . . . . . . . . . . . . . . . . . . . 445 Fraction Action, Fraction Friction Card Deck . . . . . . . . . . . . . . . . . . . . . . 446 Fraction CaptureGameboard . . . . . . . . 447 Getting to OneRecord Sheets . . . . . . . 448 Grab Bag . . . . . . . . . . . . . . . . . . . . . . . . . 449 Grab BagCards . . . . . . . . . . . . . . . . . . . . 450 Grab BagRecord Sheet . . . . . . . . . . . . . 452 Greedy Score Sheets . . . . . . . . . . . . . . . 453 High Number TossRecord Sheet . . . . . 454 High Number Toss(Decimal Version) Record Sheet . . . . . . . . . . . 455 Landmark SharkCards . . . . . . . . . . . . . . 456 Landmark SharkScore Sheet . . . . . . . . 457 Mixed-Number Spinner . . . . . . . . . . . . . . 458 Mixed-Number Spin Record Sheet . . . . 459 Multiplication Wrestling . . . . . . . . . . . . . 460 Multiplication Wrestling Scorecard . . . . . . . . . . . . . . . . . . . . . . 461 Name That Number Record Sheet . . . . . . . . . . . . . . . . . . . 462 Number Top-It(10-digit Whole Numbers) . . . . . . . . . . . . . . . . . . . . . . 463 Number Top-It Game Mat . . . . . . . . . . . 464 Over and Up Squares . . . . . . . . . . . . . . . 465 Over and Up SquaresGameboard and Record Sheet . . . . . . . . . . . . . . . . . . . 466 Percent/Sector Match Up . . . . . . . . . . . . 467 Percent/SectorTiles . . . . . . . . . . . . . . . . 468 Polygon CapturePieces . . . . . . . . . . . . . 470 Polygon CaptureProperty Cards . . . . . . 471 Scientific Notation Toss . . . . . . . . . . . . . 472 Solution Search Cards . . . . . . . . . . . . . . 473 Spreadsheet Scramble Game Mats . . . . . . . . . . . . . . . . . . . . . 474 Spreadsheet Scramble Game Mat . . . . . . . . . . . . . . . . . . . . . . 475 3-D Shape SortProperty Cards . . . . . . . 476 3-D Shape SortShape Cards . . . . . . . . 477 Top-It Record Sheet . . . . . . . . . . . . . . . . 478 Venn Diagram Challenge . . . . . . . . . . . . 479 Venn Diagram Challenge Gameboard . . . . . . . . . . . . . . . . . . . . . 480 Venn Diagram Challenge Record Sheet . . . . . . . . . . . . . . . . . . . 481