PH - Mathematics Course 1 c2008

Mathematics - Grade 6

CHAPTER | PH.1. | Chapter 1: Whole Numbers and Decimals | |||||

SECTION | PH.1.1. | Ch 1 Sec 1: Understanding Whole Numbers (pp. 4 - 7)materials correlated to this standard → |
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SECTION | PH.1.2. | Ch 1 Sec 2: Estimating with Whole Numbers (pp. 8 - 11)materials correlated to this standard → |
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SECTION | PH.1.3. | Ch 1 Sec 3: Properties of Numbers (pp. 12 - 15)materials correlated to this standard → |
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SECTION | PH.1.4. | Ch 1 Sec 4: Order of Operations (pp. 16 - 19)materials correlated to this standard → |
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SECTION | PH.1.5a. | Ch 1 Sec 5a: Activity Lab: Hands On: Exploring Decimal Models (pp. 21 - 21)materials correlated to this standard → |
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SECTION | PH.1.5. | Ch 1 Sec 5: Understanding Decimals (pp. 22 - 25)materials correlated to this standard → |
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SECTION | PH.1.6. | Ch 1 Sec 6: Comparing and Ordering Decimals (pp. 26 - 30)materials correlated to this standard → |
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SECTION | PH.1.7a. | Ch 1 Sec 7a: Activity Lab: Hands On: Using Models (pp. 31)materials correlated to this standard → |
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SECTION | PH.1.7. | Ch 1 Sec 7: Adding and Subtracting Decimals (pp. 32 - 36)materials correlated to this standard → |
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SECTION | PH.1.8a. | Ch 1 Sec 8a: Activity Lab: Modeling Decimal Multiplication (pp. 37)materials correlated to this standard → |
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SECTION | PH.1.8. | Ch 1 Sec 8: Multiplying Decimals (pp. 38 - 41)materials correlated to this standard → |
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SECTION | PH.1.8b. | Ch 1 Sec 8b: Activity Lab: Technology: Multiplying and Dividing Decimals by 10, 100, and 1,000 (pp. 42)materials correlated to this standard → |
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SECTION | PH.1.9. | Ch 1 Sec 9: Dividing Decimals (pp. 44 - 47)materials correlated to this standard → |
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SECTION | PH.1.9b. | Ch 1 Sec 9b: Activity Lab: Data Analysis: Using Decimals (pp. 48)materials correlated to this standard → |
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CHAPTER | PH.2. | Chapter 2: Data and Graphs | |||||

SECTION | PH.2.1a. | Ch 2 Sec 1a: Activity Lab: Hands On: Exploring the Mean (pp. 60)materials correlated to this standard → |
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SECTION | PH.2.1. | Ch 2 Sec 1: Finding the Mean (pp. 61 - 65)materials correlated to this standard → |
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SECTION | PH.2.2. | Ch 2 Sec 2: Median and Mode (pp. 66 - 69)materials correlated to this standard → |
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SECTION | PH.2.3. | Ch 2 Sec 3: Frequency Tables and Line Plots (pp. 70 - 73)materials correlated to this standard → |
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SECTION | PH.2.4. | Ch 2 Sec 4: Bar Graphs and Line Graphs (pp. 74 - 77)materials correlated to this standard → |
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SECTION | PH.2.4b. | Ch 2 Sec 4b: Activity Lab: Technology: Making Bar Graphs (pp. 78 - 79)materials correlated to this standard → |
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SECTION | PH.2.5. | Ch 2 Sec 5: Using Spreadsheets to Organize Data (pp. 80 - 83)materials correlated to this standard → |
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SECTION | PH.2.5b. | Ch 2 Sec 5b: Activity Lab: Technology: Spreadsheets and Graphs (pp. 84)materials correlated to this standard → |
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SECTION | PH.2.6. | Ch 2 Sec 6: Stem-and-Leaf Plots (pp. 86 - 92)materials correlated to this standard → |
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SECTION | PH.2.7. | Ch 2 Sec 7: Misleading Graphs and Statistics (pp. 93 - 97)materials correlated to this standard → |
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CHAPTER | PH.3. | Chapter 3: Patterns and Variables | |||||

SECTION | PH.3.1. | Ch 3 Sec 1: Describing a Pattern (pp. 108 - 111)materials correlated to this standard → |
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SECTION | PH.3.2a. | Ch 3 Sec 2a: Activity Lab: Hands On: Patterns and Expressions (pp. 112)materials correlated to this standard → |
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SECTION | PH.3.2. | Ch 3 Sec 2: Variables and Expressions (pp. 113 - 116)materials correlated to this standard → |
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SECTION | PH.3.3a. | Ch 3 Sec 3a: Activity Lab: Modeling Expressions (pp. 117)materials correlated to this standard → |
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SECTION | PH.3.3. | Ch 3 Sec 3: Writing Algebraic Expressions (pp. 118 - 122)materials correlated to this standard → |
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SECTION | PH.3.3b. | Ch 3 Sec 3b: Activity Lab: Arithmetic Sequences (pp. 123)materials correlated to this standard → |
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SECTION | PH.3.4. | Ch 3 Sec 4: Using Number Sense to Solve One-Step Equations (pp. 124 - 128)materials correlated to this standard → |
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SECTION | PH.3.5a. | Ch 3 Sec 5a: Activity Lab: Hands On: Modeling Equations (pp. 129)materials correlated to this standard → |
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SECTION | PH.3.5. | Ch 3 Sec 5: Solving Addition Equations (pp. 130 - 133)materials correlated to this standard → |
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SECTION | PH.3.6. | Ch 3 Sec 6: Solving Subtraction Equations (pp. 134 - 136)materials correlated to this standard → |
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SECTION | PH.3.7a. | Ch 3 Sec 7a: Activity Lab: Hands On: Modeling Division Equations (pp. 137)materials correlated to this standard → |
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SECTION | PH.3.7. | Ch 3 Sec 7: Solving Multiplication and Division Equations (pp. 138 - 143)materials correlated to this standard → |
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SECTION | PH.3.8. | Ch 3 Sec 8: The Distributive Property (pp. 144 - 147)materials correlated to this standard → |
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SECTION | PH.3.8b. | Ch 3 Sec 8b: Activity Lab: Algebraic Thinking: Understanding Properties (pp. 148)materials correlated to this standard → |
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CHAPTER | PH.4. | Chapter 4: Number Theory and Fractions | |||||

SECTION | PH.4.1. | Ch 4 Sec 1: Divisibility and Mental Math (pp. 158 - 161)materials correlated to this standard → |
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SECTION | PH.4.2. | Ch 4 Sec 2: Exponents (pp. 162 - 165)materials correlated to this standard → |
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SECTION | PH.4.3. | Ch 4 Sec 3: Prime Numbers and Prime Factorization (pp. 166 - 169)materials correlated to this standard → |
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SECTION | PH.4.4. | Ch 4 Sec 4: Greatest Common Factor (pp. 171 - 174)materials correlated to this standard → |
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SECTION | PH.4.5a. | Ch 4 Sec 5a: Activity Lab: Hands On: Modeling Fractions (pp. 175)materials correlated to this standard → |
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SECTION | PH.4.5. | Ch 4 Sec 5: Equivalent Fractions (pp. 176 - 179)materials correlated to this standard → |
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SECTION | PH.4.5b. | Ch 4 Sec 5b: Activity Lab: Technology: Simplifying Fractions (pp. 180)materials correlated to this standard → |
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SECTION | PH.4.6. | Ch 4 Sec 6: Mixed Numbers and Improper Fractions (pp. 182 - 185)materials correlated to this standard → |
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SECTION | PH.4.6b. | Ch 4 Sec 6b: Activity Lab: Hands On: Fractions and Measurement (pp. 186)materials correlated to this standard → |
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SECTION | PH.4.7. | Ch 4 Sec 7: Least Common Multiple (pp. 188 - 191)materials correlated to this standard → |
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SECTION | PH.4.8. | Ch 4 Sec 8: Comparing and Ordering Fractions (pp. 192 - 197)materials correlated to this standard → |
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SECTION | PH.4.9. | Ch 4 Sec 9: Fractions and Decimals (pp. 198 - 201)materials correlated to this standard → |
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SECTION | PH.4.9b. | Ch 4 Sec 9b: Activity Lab: Data Collection: Conducting a Survey (pp. 202)materials correlated to this standard → |
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CHAPTER | PH.5. | Chapter 5: Adding and Subtracting Fractions | |||||

SECTION | PH.5.1. | Ch 5 Sec 1: Estimating Sums and Differences (pp. 212 - 215)materials correlated to this standard → |
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SECTION | PH.5.2a. | Ch 5 Sec 2a: Activity Lab: Hands On: Modeling Fraction Operations (pp. 216)materials correlated to this standard → |
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SECTION | PH.5.2. | Ch 5 Sec 2: Fractions With Like Denominators (pp. 217 - 220)materials correlated to this standard → |
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SECTION | PH.5.3a. | Ch 5 Sec 3a: Activity Lab: Modeling Unlike Denominators (pp. 221)materials correlated to this standard → |
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SECTION | PH.5.3. | Ch 5 Sec 3: Fractions With Unlike Denominators (pp. 222 - 225)materials correlated to this standard → |
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SECTION | PH.5.4a. | Ch 5 Sec 4a: Activity Lab: Hands On: Using Mixed Numbers (pp. 227)materials correlated to this standard → |
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SECTION | PH.5.4. | Ch 5 Sec 4: Adding Mixed Numbers (pp. 228 - 231)materials correlated to this standard → |
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SECTION | PH.5.5. | Ch 5 Sec 5: Subtracting Mixed Numbers (pp. 232 - 236)materials correlated to this standard → |
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SECTION | PH.5.5b. | Ch 5 Sec 5b: Activity Lab: Technology: Using a Fraction Calculator (pp. 237)materials correlated to this standard → |
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SECTION | PH.5.6a. | Ch 5 Sec 6a: Activity Lab: Data Analysis: Using Pictographs (pp. 239)materials correlated to this standard → |
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SECTION | PH.5.6. | Ch 5 Sec 6: Equations With Fractions (pp. 240 - 245)materials correlated to this standard → |
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SECTION | PH.5.7. | Ch 5 Sec 7: Measuring Elapsed Time (pp. 246 - 250)materials correlated to this standard → |
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CHAPTER | PH.6. | Chapter 6: Multiplying and Dividing Fractions | |||||

SECTION | PH.6.1a. | Ch 6 Sec 1a: Activity Lab: Modeling Fraction Multiplication (pp. 260)materials correlated to this standard → |
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SECTION | PH.6.1. | Ch 6 Sec 1: Multiplying Fractions (pp. 261 - 264)materials correlated to this standard → |
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SECTION | PH.6.1b. | Ch 6 Sec 1b: Activity Lab: Algebra Thinking: Understanding Equality (pp. 265)materials correlated to this standard → |
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SECTION | PH.6.2. | Ch 6 Sec 2: Multiplying Mixed Numbers (pp. 266 - 270)materials correlated to this standard → |
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SECTION | PH.6.3a. | Ch 6 Sec 3: Activity Lab: Hands On: Fraction Division (pp. 271)materials correlated to this standard → |
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SECTION | PH.6.3. | Ch 6 Sec 3: Dividing Fractions (pp. 272 - 275)materials correlated to this standard → |
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SECTION | PH.6.4. | Ch 6 Sec 4: Dividing Mixed Numbers (pp. 276 - 279)materials correlated to this standard → |
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SECTION | PH.6.4b. | Ch 6 Sec 4b: Activity Lab: Technology: Using a Calculator for Fractions (pp. 280)materials correlated to this standard → |
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SECTION | PH.6.5. | Ch 6 Sec 5: Solving Fraction Equations by Multiplying (pp. 282 - 287)materials correlated to this standard → |
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SECTION | PH.6.6. | Ch 6 Sec 6: The Customary System (pp. 288 - 291)materials correlated to this standard → |
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SECTION | PH.6.7. | Ch 6 Sec 7: Changing Units in the Customary System (pp. 292 - 295)materials correlated to this standard → |
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SECTION | PH.6.7b. | Ch 6 Sec 7b: Activity Lab: Hands On: Measuring Objects (pp. 296)materials correlated to this standard → |
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CHAPTER | PH.7. | Chapter 7: Ratios, Proportions, and Percents | |||||

SECTION | PH.7.1. | Ch 7 Sec 1: Ratios (pp. 306 - 309)materials correlated to this standard → |
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SECTION | PH.7.1b. | Ch 7 Sec 1: Activity Lab: Hands On: Modeling Ratios (pp. 310 - 311)materials correlated to this standard → |
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SECTION | PH.7.2. | Ch 7 Sec 2: Unit Rates (pp. 312 - 315)materials correlated to this standard → |
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SECTION | PH.7.3. | Ch 7 Sec 3: Understanding Proportions (pp. 316 - 319)materials correlated to this standard → |
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SECTION | PH.7.4. | Ch 7 Sec 4: Solving Proportions (pp. 320 - 324)materials correlated to this standard → |
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SECTION | PH.7.4b. | Ch 7 Sec 4b: Activity Lab: Hands On: Predicting Results (pp. 325)materials correlated to this standard → |
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SECTION | PH.7.5. | Ch 7 Sec 5: Scale Drawings (pp. 326 - 329)materials correlated to this standard → |
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SECTION | PH.7.6a. | Ch 7 Sec 6a: Activity Lab: Hands On: Modeling Percents (pp. 330)materials correlated to this standard → |
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SECTION | PH.7.6. | Ch 7 Sec 6: Percents, Fractions, and Decimals (pp. 331)materials correlated to this standard → |
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SECTION | PH.7.7. | Ch 7 Sec 7: Finding a Percent of a Number (pp. 336 - 339)materials correlated to this standard → |
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SECTION | PH.7.8a. | Ch 7 Sec 8a: Activity Lab: Hands On: Exploring Circle Graphs (pp. 340)materials correlated to this standard → |
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SECTION | PH.7.8. | Ch 7 Sec 8: Circle Graphs (pp. 341 - 344)materials correlated to this standard → |
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SECTION | PH.7.8b. | Ch 7 Sec 8b: Activity Lab: Technology: Reporting Survey Results (pp. 345)materials correlated to this standard → |
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SECTION | PH.7.9. | Ch 7 Sec 9: Estimating With Percents (pp. 348 - 350)materials correlated to this standard → |
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CHAPTER | PH.8. | Chapter 8: Tools of Geometry | |||||

SECTION | PH.8.1. | Ch 8 Sec 1: Points, Lines, Segments, and Rays (pp. 362 - 365)materials correlated to this standard → |
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SECTION | PH.8.2a. | Ch 8 Sec 2a: Activity Lab: Hands On: Using Angle Benchmarks (pp. 366)materials correlated to this standard → |
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SECTION | PH.8.2. | Ch 8 Sec 2: Angles (pp. 367 - 373)materials correlated to this standard → |
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SECTION | PH.8.3. | Ch 8 Sec 3: Special Pairs of Angles (pp. 374 - 377)materials correlated to this standard → |
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SECTION | PH.8.3b. | Ch 8 Sec 3b: Activity Lab: Hands On: Exploring Parallel Lines (pp. 378)materials correlated to this standard → |
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SECTION | PH.8.4a. | Ch 8 Sec 4a: Activity Lab: Technology: Investigating Angles in a Triangle (pp. 379)materials correlated to this standard → |
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SECTION | PH.8.4. | Ch 8 Sec 4: Classifying Triangles (pp. 380 - 384)materials correlated to this standard → |
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SECTION | PH.8.5a. | Ch 8 Sec 5a: Activity Lab: Hands On: Angles in a Quadrilateral (pp. 385)materials correlated to this standard → |
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SECTION | PH.8.5. | Ch 8 Sec 5: Exploring and Classifying Polygons (pp. 386 - 390)materials correlated to this standard → |
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SECTION | PH.8.6. | Ch 8 Sec 6: Congruent and Similar Figures (pp. 392 - 397)materials correlated to this standard → |
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SECTION | PH.8.7. | Ch 8 Sec 7: Line Symmetry (pp. 398 - 401) | |||||

SECTION | PH.8.8. | Ch 8 Sec 8: Transformations (pp. 402 - 405)materials correlated to this standard → |
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SECTION | PH.8.8b. | Ch 8 Sec 8b: Activity Lab: Hands On: Tessellations (pp. 406)materials correlated to this standard → |
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CHAPTER | PH.9. | Chapter 9: Geometry and Measurement | |||||

SECTION | PH.9.1. | Ch 9 Sec 1: Metric Units of Length, Mass, and Capacity (pp. 416 - 419)materials correlated to this standard → |
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SECTION | PH.9.1b. | Ch 9 Sec 1b: Activity Lab: Metric Units (pp. 420)materials correlated to this standard → |
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SECTION | PH.9.2. | Ch 9 Sec 2: Converting Units in the Metric System (pp. 421 - 425)materials correlated to this standard → |
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SECTION | PH.9.3. | Ch 9 Sec 3: Perimeters and Areas of Rectangles (pp. 426 - 430)materials correlated to this standard → |
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SECTION | PH.9.4a. | Ch 9 Sec 4a: Activity Lab: Hands On: Comparing Areas (pp. 431)materials correlated to this standard → |
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SECTION | PH.9.4. | Ch 9 Sec 4: Areas of Parallelograms and Triangles (pp. 432 - 435)materials correlated to this standard → |
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SECTION | PH.9.5a. | Ch 9 Sec 5a: Activity Lab: Data Collection: Exploring Circles (pp. 437)materials correlated to this standard → |
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SECTION | PH.9.5. | Ch 9 Sec 5: Circles and Circumference (pp. 438 - 443)materials correlated to this standard → |
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SECTION | PH.9.6. | Ch 9 Sec 6: Area of a Circle (pp. 444 - 447)materials correlated to this standard → |
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SECTION | PH.9.7a. | Ch 9 Sec 7a: Activity Lab: Hands On: Three-Dimensional Views (pp. 448)materials correlated to this standard → |
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SECTION | PH.9.7. | Ch 9 Sec 7: Three-Dimensional Figures and Spatial Reasoning (pp. 449 - 452)materials correlated to this standard → |
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SECTION | PH.9.8. | Ch 9 Sec 8: Surface Areas of Prisms (pp. 453 - 456)materials correlated to this standard → |
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SECTION | PH.9.9a. | Ch 9 Sec 9a: Activity Lab: Hands On: Exploring Volume (pp. 457)materials correlated to this standard → |
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SECTION | PH.9.9. | Ch 9 Sec 9: Volumes of Rectangular Prisms (pp. 458 - 460)materials correlated to this standard → |
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SECTION | PH.9.10. | Ch 9 Sec 10: Surface Areas and Volumes of Cylinders (pp. 462 - 465)materials correlated to this standard → |
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CHAPTER | PH.10. | Chapter 10: Exploring Probability | |||||

SECTION | PH.10.1. | Ch 10 Sec 1: Tree Diagrams and the Counting Principle (pp. 476 - 481)materials correlated to this standard → |
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SECTION | PH.10.2. | Ch 10 Sec 2: Probability (pp. 482 - 486)materials correlated to this standard → |
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SECTION | PH.10.3. | Ch 10 Sec 3: Experimental Probability (pp. 488 - 491)materials correlated to this standard → |
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SECTION | PH.10.3b. | Ch 10 Sec 3b: Activity Lab: Data Collection: Experimental and Theoretical Probabilities (pp. 492 - 493)materials correlated to this standard → |
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SECTION | PH.10.4. | Ch 10 Sec 4: Making Predictions From Data (pp. 494 - 497)materials correlated to this standard → |
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SECTION | PH.10.4b. | Ch 10 Sec 4b: Activity Lab: Technology: Simulations (pp. 498)materials correlated to this standard → |
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SECTION | PH.10.5. | Ch 10 Sec 5: Independent Events (pp. 500 - 506)materials correlated to this standard → |
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CHAPTER | PH.11. | Chapter 11: Integers | |||||

SECTION | PH.11.1. | Ch 11 Sec 1: Exploring Integers (pp. 516 - 519)materials correlated to this standard → |
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SECTION | PH.11.2. | Ch 11 Sec 2: Comparing and Ordering Integers (pp. 520 - 522)materials correlated to this standard → |
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SECTION | PH.11.3a. | Ch 11 Sec 3a: Activity Lab: Hands On: Modeling Addition of Integers (pp. 523)materials correlated to this standard → |
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SECTION | PH.11.3. | Ch 11 Sec 3: Adding Integers (pp. 524 - 527)materials correlated to this standard → |
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SECTION | PH.11.4. | Ch 11 Sec 4: Subtracting Integers (pp. 530 - 533)materials correlated to this standard → |
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SECTION | PH.11.5. | Ch 11 Sec 5: Multiplying Integers (pp. 534 - 539)materials correlated to this standard → |
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SECTION | PH.11.6. | Ch 11 Sec 6: Dividing Integers (pp. 540 - 542)materials correlated to this standard → |
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SECTION | PH.11.7. | Ch 11 Sec 7: Solving Equations With Integers (pp. 543 - 545)materials correlated to this standard → |
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SECTION | PH.11.7b. | Ch 11 Sec 7b: Activity Lab: Algebra Thinking: Thinking About Solutions (pp. 546)materials correlated to this standard → |
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SECTION | PH.11.8a. | Ch 11 Sec 8a: Activity Lab: Technology: Graphing Points (pp. 547)materials correlated to this standard → |
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SECTION | PH.11.8. | Ch 11 Sec 8: Graphing in the Coordinate Plane (pp. 548 - 551)materials correlated to this standard → |
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SECTION | PH.11.9. | Ch 11 Sec 9: Applications of Integers (pp. 554 - 557)materials correlated to this standard → |
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SECTION | PH.11.10. | Ch 11 Sec 10: Graphing Functions (pp. 558 - 562)materials correlated to this standard → |
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CHAPTER | PH.12. | Chapter 12: Equations and Inequalities | |||||

SECTION | PH.12.1. | Ch 12 Sec 1: Solving Two-Step Equations (pp. 572 - 576)materials correlated to this standard → |
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SECTION | PH.12.1b. | Ch 12 Sec 1b: Activity Lab: Algebra Thinking: Using Equation Language (pp. 577)materials correlated to this standard → |
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SECTION | PH.12.2. | Ch 12 Sec 2: Inequalities (pp. 578 - 581)materials correlated to this standard → |
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SECTION | PH.12.3. | Ch 12 Sec 3: Solving One-Step Inequalities (pp. 582 - 584)materials correlated to this standard → |
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SECTION | PH.12.3b. | Ch 12 Sec 3b: Activity Lab: Data Analysis: Applying Inequalities (pp. 585)materials correlated to this standard → |
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SECTION | PH.12.4a. | Ch 12 Sec 4a: Activity Lab: Hands On: Exploring Squares (pp. 586)materials correlated to this standard → |
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SECTION | PH.12.4. | Ch 12 Sec 4: Exploring Square Roots and Rational Numbers (pp. 587 - 590)materials correlated to this standard → |
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SECTION | PH.12.5. | Ch 12 Sec 5: Introducing the Pythagorean Theorem (pp. 591 - 596)materials correlated to this standard → |