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 Openended 14 Using Decimals for Large Whole Numbers Guided 15 Representing Large Openended 16 Whole Numbers Representing Millions and Billions Guided 17 Representing SixDigit 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 Openended 18 Guided 19 Openended 26 Guided 27 Openended 28 Guided 29 Openended 30 Guided 31 Openended 40 Guided 41 Openended 42 Guided 43 Openended 44 Guided 45 Openended 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 Openended 56 Guided 57 Openended 58 Guided 59 Openended 60 Guided 61 Openended 62 Guided 63 Openended 70 Guided 71 Openended 72 Guided 73 Openended 74 Guided 75 Openended 82 Guided 83 Openended 84 Guided 85 Openended 86 Guided 87 Openended 98 Guided 99 Openended 100 Guided 101 Openended 102 Guided 103 Openended 104 Guided 105 Openended 112 Guided 113 Openended 114 Guided 115 Openended 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 Openended 124 Guided 125 Openended 126 Guided 127 Openended 128 Guided 129 Openended 136 Guided 137 Openended 138 Guided 139 Openended 140 Guided 141 Strand: Patterns and Algebra Patterns and Algebra Overview 142 Openended 152 Linear Relations Guided 153 Patterns Openended 154 Representing Patterns Guided 155 (page 144) Openended 156 Exploring Simple Patterns Guided 157 (page 146) Openended 166 Solving Problems Using Equations Guided 167 Algebra (page 158) (page 160) Solving Simple Equations Using Variables Openended 168 Guided 169 Openended 170 Guided 171 Strand: Geometry Geometry Strand Overview 172 Openended 182 Using Isometric Drawings Guided D Shapes Openended 184 Using Different Views Guided 185 (page 174) Openended 186 Using Nets Guided 187 (page 176) Leaps and Bounds 7/8 Contents v
4 2D 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 Openended 196 Guided 197 Openended 198 Guided 199 Openended 200 Guided 201 Openended 212 Guided 213 Openended 214 Guided 215 Openended 216 Guided 217 Openended 218 Guided 219 Openended 226 Guided 227 Openended 228 Guided 229 Openended 240 Guided 241 Openended 242 Guided 243 Openended 244 Guided 245 Openended 246 Guided 247 Strand: Measurement Measurement Strand Overview 248 Openended 260 Area of Circles Guided 261 Openended 262 Circumference of Circles Guided 263 Area and Perimeter Openended 264 Area of Composite Shapes Guided 265 (page 250) Openended 266 Area of Parallelograms and Triangles Guided 267 (page 252) Pathway 5: Openended 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 Openended 278 Guided 279 Openended 280 Guided 281 Openended 282 Guided 283 Openended 292 Guided 293 Openended 294 Guided 295 Openended 296 Guided 297 Openended 304 Guided 305 Openended 306 Guided 307 Strand: Data and Probability Data and Probability Strand Overview 308 Openended 320 Using Circle Graphs and Line Graphs Guided 321 Displaying Data Openended 322 Bias and Sampling Guided 323 (page 310) Openended 324 Interpreting Graphs Guided 325 (page 312) Openended 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 Openended 336 Guided 337 Openended 338 Guided 339 Openended 348 Guided 349 Openended 350 Guided 351 Openended 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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