What Is Leaps and Bounds? A Research Foundation How to Use Leaps and Bounds Frequently Asked Questions Components

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1 Contents Program Overview What Is Leaps and Bounds? A Research Foundation How to Use Leaps and Bounds Frequently Asked Questions Components ix x xiv xvii xix Teaching Notes Strand: Number Number Strand Overview 2 Open-ended 14 Using Decimals for Large Whole Numbers Guided 15 Representing Large Open-ended 16 Whole Numbers Representing Millions and Billions Guided 17 Representing Six-Digit Numbers (page 6) (page 8) Whole Number Operations (page 20) (page 22) Representing and Comparing Decimals (page 32) (page 34) Order of Operations Dividing Whole Numbers Multiplying Whole Numbers Decimals with Many Places Comparing Decimals Representing Decimal Thousandths Multiplying and Dividing by 10s Open-ended 18 Guided 19 Open-ended 26 Guided 27 Open-ended 28 Guided 29 Open-ended 30 Guided 31 Open-ended 40 Guided 41 Open-ended 42 Guided 43 Open-ended 44 Guided 45 Open-ended 46 Guided 47 Leaps and Bounds 7/8 Contents iii

2 Decimal Operations (page 48) (page 50) Relating Situations to Operations (page 64) (page 66) Comparing Fractions (page 76) (page 78) Fraction Operations (page 88) (page 90) Rates, Percents, and Ratios (page 106) (page 108) Dividing Whole Numbers by Decimals Dividing Decimals by Whole Numbers Multiplying with Decimals Adding and Subtracting Decimals Recognizing Division Situations Recognizing Multiplication Situations Recognizing Subtraction Situations Fractions and Mixed Numbers Proper Fractions Equivalent Fractions Repeated Addition of Fractions Adding and Subtracting Mixed Numbers Subtracting Fractions Adding Fractions Using Rates Using Percents Using Ratios Open-ended 56 Guided 57 Open-ended 58 Guided 59 Open-ended 60 Guided 61 Open-ended 62 Guided 63 Open-ended 70 Guided 71 Open-ended 72 Guided 73 Open-ended 74 Guided 75 Open-ended 82 Guided 83 Open-ended 84 Guided 85 Open-ended 86 Guided 87 Open-ended 98 Guided 99 Open-ended 100 Guided 101 Open-ended 102 Guided 103 Open-ended 104 Guided 105 Open-ended 112 Guided 113 Open-ended 114 Guided 115 Open-ended 116 Guided 117 iv Contents Leaps and Bounds 7/8

3 Multiplicative Relationships (page 118) (page 120) Integers (page 130) (page 132) Divisibility Rules Prime Numbers and Perfect Squares Factors and Multiples Subtracting Integers Adding Integers Representing and Comparing Integers Open-ended 124 Guided 125 Open-ended 126 Guided 127 Open-ended 128 Guided 129 Open-ended 136 Guided 137 Open-ended 138 Guided 139 Open-ended 140 Guided 141 Strand: Patterns and Algebra Patterns and Algebra Overview 142 Open-ended 152 Linear Relations Guided 153 Patterns Open-ended 154 Representing Patterns Guided 155 (page 144) Open-ended 156 Exploring Simple Patterns Guided 157 (page 146) Open-ended 166 Solving Problems Using Equations Guided 167 Algebra (page 158) (page 160) Solving Simple Equations Using Variables Open-ended 168 Guided 169 Open-ended 170 Guided 171 Strand: Geometry Geometry Strand Overview 172 Open-ended 182 Using Isometric Drawings Guided D Shapes Open-ended 184 Using Different Views Guided 185 (page 174) Open-ended 186 Using Nets Guided 187 (page 176) Leaps and Bounds 7/8 Contents v

4 2-D Shapes (page 188) (page 190) Geometric Drawings (page 202) (page 204) Location (page 220) (page 222) Transformations (page 230) (page 232) Similar Shapes Congruent Shapes Sorting and Classifying Polygons Bisecting Angles and Line Segments Drawing Lines and Polygons Drawing Circles Drawing Triangles Plotting Points in 4 Quadrants Plotting Points on a Grid Using Transformations in Designs Performing Dilatations Combining Transformations Performing Single Transformations Open-ended 196 Guided 197 Open-ended 198 Guided 199 Open-ended 200 Guided 201 Open-ended 212 Guided 213 Open-ended 214 Guided 215 Open-ended 216 Guided 217 Open-ended 218 Guided 219 Open-ended 226 Guided 227 Open-ended 228 Guided 229 Open-ended 240 Guided 241 Open-ended 242 Guided 243 Open-ended 244 Guided 245 Open-ended 246 Guided 247 Strand: Measurement Measurement Strand Overview 248 Open-ended 260 Area of Circles Guided 261 Open-ended 262 Circumference of Circles Guided 263 Area and Perimeter Open-ended 264 Area of Composite Shapes Guided 265 (page 250) Open-ended 266 Area of Parallelograms and Triangles Guided 267 (page 252) Pathway 5: Open-ended 268 Area and Perimeter of Rectangles Guided 269 vi Contents Leaps and Bounds 7/8

5 Volume and Surface Area (page 270) (page 272) Angles (page 284) (page 286) Metric Units (page 298) (page 300) Volume of Prisms: Using a Formula Surface Area of Prisms Volume of Rectangular Prisms Sums of Angle Measures in Polygons Drawing Angles Measuring Angles Renaming Units Selecting a Unit Open-ended 278 Guided 279 Open-ended 280 Guided 281 Open-ended 282 Guided 283 Open-ended 292 Guided 293 Open-ended 294 Guided 295 Open-ended 296 Guided 297 Open-ended 304 Guided 305 Open-ended 306 Guided 307 Strand: Data and Probability Data and Probability Strand Overview 308 Open-ended 320 Using Circle Graphs and Line Graphs Guided 321 Displaying Data Open-ended 322 Bias and Sampling Guided 323 (page 310) Open-ended 324 Interpreting Graphs Guided 325 (page 312) Open-ended 334 Effects of Changing Data Summarizing Data (page 326) (page 328) Probability (page 340) (page 342) Using Mean, Median, and Mode Calculating the Mean Probability: Independent Events Theoretical Probability Experimental Probability Guided 335 Open-ended 336 Guided 337 Open-ended 338 Guided 339 Open-ended 348 Guided 349 Open-ended 350 Guided 351 Open-ended 352 Guided 353 Leaps and Bounds 7/8 Contents vii

6 Blackline Masters BLM 1: Millions and Billions Blackline Master 1 BLM 2: Place Value Charts (to Billions) Blackline Master 2 BLM 3: Place Value Charts (to Hundred Thousands) Blackline Master 3 BLM 4: Place Value Charts (to Millionths) Blackline Master 4 BLM 5: Place Value Charts (to Ten Thousandths) Blackline Master 5 BLM 6: Place Value Charts (to Thousandths) Blackline Master 6 BLM 7: Thousandths Grids Blackline Master 7 BLM 8: Hundredths Grids Blackline Master 8 BLM 9: Tenths Grids Blackline Master 9 BLM 10: Fraction Strips Blackline Master 10 BLM 11: 2 cm Grid Paper Blackline Master 11 BLM 12: 1 cm Grid Paper Blackline Master 12 BLM 13: 0.5 cm Grid Paper Blackline Master 13 BLM 14: 2 cm Square Dot Paper Blackline Master 14 BLM 15: 1 cm Square Dot Paper Blackline Master 15 BLM 16: Triangle Dot Paper Blackline Master 16 BLM 17: Circular Geoboard Paper Blackline Master 17 BLM 18: Fraction Circles/Spinners Blackline Master 18 BLM 19: Pattern Blocks: Triangle Blackline Master 19 BLM 20: Pattern Blocks: Square Blackline Master 20 BLM 21: Pattern Blocks: Rhombus A Blackline Master 21 BLM 22: Pattern Blocks: Rhombus B Blackline Master 22 BLM 23: Pattern Blocks: Trapezoid Blackline Master 23 BLM 24: Pattern Blocks: Hexagon Blackline Master 24 BLM 25: Number Lines Blackline Master 25 BLM 26: Regular Polygons Blackline Master 26 BLM 27: Polygons Blackline Master 27 BLM 28: Star Blackline Master 28 BLM 29: Roof Angles Blackline Master 29 BLM 30: Types of Graphs Blackline Master 30 BLM 31: Percent Circles Blackline Master 31 Index 385 Student Resource Solutions User name: leapsandbounds78 Password: SRsolutions78 viii Contents Leaps and Bounds 7/8

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