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CHAPTER |
PH.1. |
Chapter 1: Tools of Geometry |
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SECTION |
PH.1.1. |
Ch 1 Sec 1: Patterns and Inductive Reasoning (pp. 4 - 6) materials correlated to this standard →
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SECTION |
PH.1.2. |
Ch 1 Sec 2: Drawings, Nets, and Other Models (pp. 10 - 12) materials correlated to this standard →
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SECTION |
PH.1.3. |
Ch 1 Sec 3: Points, Lines and Planes (pp. 16 - 19) materials correlated to this standard →
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SECTION |
PH.1.4. |
Ch 1 Sec 4: Segments, Rays, Parallel Lines and Planes (pp. 23 - 25) materials correlated to this standard →
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SECTION |
PH.1.5. |
Ch 1 Sec 5: Measuring Segments (pp. 31 - 33) materials correlated to this standard →
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SECTION |
PH.1.6. |
Ch 1 Sec 6: Measuring Angles (pp. 36 - 39) materials correlated to this standard →
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SECTION |
PH.1.7. |
Ch 1 Sec 7: Basic Constructions (pp. 44 - 47) materials correlated to this standard →
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SECTION |
PH.1.7L1. |
Ch 1 Sec 7L: Activity Lab: Hands-On: Compass Designs (pp. 43) materials correlated to this standard →
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SECTION |
PH.1.7L2. |
Ch 1 Sec 7L: Activity Lab: Technology: Exploring Constructions (pp.51) materials correlated to this standard →
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SECTION |
PH.1.8. |
Ch 1 Sec 8: The Coordinate Plane (pp. 53 - 55) materials correlated to this standard →
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SECTION |
PH.1.8L. |
Ch 1 Sec 8L: Activity Lab: Distance in the Coordinate Plane (pp. 52) materials correlated to this standard →
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SECTION |
PH.1.9. |
Ch 1 Sec 9: Perimeter, Circumference, and Area (pp. 61 - 64) materials correlated to this standard →
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SECTION |
PH.1.9L1. |
Ch 1 Sec 9L: Activity Lab: Technology: Comparing Perimeters and Areas (pp. 69) materials correlated to this standard →
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SECTION |
PH.1.9L2. |
Ch 1 Sec 9L: Activity Lab: Data Analysis: Linear Regression (pp. 76 - 77) materials correlated to this standard →
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CHAPTER |
PH.2. |
Chapter 2: Reasoning and Proof |
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SECTION |
PH.2.1. |
Ch 2 Sec 1: Conditional Statements (pp. 80 - 82) materials correlated to this standard →
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SECTION |
PH.2.2. |
Ch 2 Sec 2: Biconditionals and Definitions (pp. 87 - 89) materials correlated to this standard →
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SECTION |
PH.2.3. |
Ch 2 Sec 3: Deductive Reasoning (pp. 94 - 96) materials correlated to this standard →
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SECTION |
PH.2.3L. |
Ch 2 Sec 3L: Activity Lab: Mathematical Systems (pp. 101) materials correlated to this standard →
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SECTION |
PH.2.4. |
Ch 2 Sec 4: Reasoning in Algebra (pp. 103 - 105) materials correlated to this standard →
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SECTION |
PH.2.4L. |
Ch 2 Sec 4L: Activity Lab: Hands-On: Paper-Folding Constructions (pp. 102) materials correlated to this standard →
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SECTION |
PH.2.5. |
Ch 2 Sec 5: Proving Angles Congruent (pp. 110 - 112) materials correlated to this standard →
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SECTION |
PH.2.5L. |
Ch 2 Sec 5L: Activity Lab: Applying Reasoning (pp. 122 - 123) materials correlated to this standard →
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CHAPTER |
PH.3. |
Chapter 3: Parallel and Perpendicular Lines |
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SECTION |
PH.3.1. |
Ch 3 Sec 1: Properties of Parallel Lines (pp. 127 - 130) materials correlated to this standard →
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SECTION |
PH.3.1L. |
Ch 3 Sec 1L: Activity Lab: Technology: Parallel Lines and Related Angles (pp. 126) materials correlated to this standard →
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SECTION |
PH.3.2. |
Ch 3 Sec 2: Proving Lines Parallel (pp. 134 - 137) materials correlated to this standard →
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SECTION |
PH.3.3. |
Ch 3 Sec 3: Parallel and Perpendicular Lines (pp. 141 - 142) materials correlated to this standard →
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SECTION |
PH.3.4. |
Ch 3 Sec 4: Properties of Parallel Lines and the Triangle Angle-Sum Theorem (pp. 147 - 150) materials correlated to this standard →
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SECTION |
PH.3.4L1. |
Ch 3 Sec 4L: Activity Lab: Hands-On: Angle Dynamics (pp. 146) materials correlated to this standard →
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SECTION |
PH.3.4L2. |
Ch 3 Sec 4L: Activity Lab: Exploring Spherical Geometry (pp. 154 - 155) |
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SECTION |
PH.3.5. |
Ch 3 Sec 5: The Polygon Angle-Sum Theorem (pp. 157 - 160) materials correlated to this standard →
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SECTION |
PH.3.5L. |
Ch 3 Sec 5L: Activity Lab: Technology: Exterior Angles of Polygons (pp. 156) materials correlated to this standard →
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SECTION |
PH.3.6. |
Ch 3 Sec 6: Lines in the Coordinate Plane (pp. 166 - 168) materials correlated to this standard →
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SECTION |
PH.3.6L. |
Ch 3 Sec 6L: Activity Lab: Technology: Solving Linear Equations With Graphs and Tables (pp. 172 - 173) materials correlated to this standard →
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SECTION |
PH.3.7. |
Ch 3 Sec 7: Slopes of Parallel and Perpendicular Lines (pp. 174 - 177) materials correlated to this standard →
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SECTION |
PH.3.8. |
Ch 3 Sec 8: Constructing Parallel and Perpendicular Lines (pp. 181 - 183) materials correlated to this standard →
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SECTION |
PH.3.8L1. |
Ch 3 Sec 8L: Activity Lab: Technology: Using Tables and Lists (pp. 187) materials correlated to this standard →
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SECTION |
PH.3.8L2. |
Ch 3 Sec 8L: Activity Lab: Applying Parallel Lines (pp. 194 - 195) materials correlated to this standard →
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CHAPTER |
PH.4. |
Chapter 4: Congruent Triangles |
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SECTION |
PH.4.1. |
Ch 4 Sec 1: Congruent Figures (pp. 198 - 200) materials correlated to this standard →
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SECTION |
PH.4.2. |
Ch 4 Sec 2: Triangle Congruence by SSS and SAS (pp. 205 - 207) materials correlated to this standard →
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SECTION |
PH.4.2L. |
Ch 4 Sec 2L: Activity Lab: Hands-On: Building Congruent Triangles (pp. 204) materials correlated to this standard →
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SECTION |
PH.4.3. |
Ch 4 Sec 3: Triangle Congruence by ASA and AAS (pp. 213 - 215) materials correlated to this standard →
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SECTION |
PH.4.3L. |
Ch 4 Sec 3L: Activity Lab: Technology: Exploring AAA and SSA (pp. 220) materials correlated to this standard →
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SECTION |
PH.4.4. |
Ch 4 Sec 4: Using Congruent Triangles: CPCTC (pp. 221 - 222) materials correlated to this standard →
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SECTION |
PH.4.5. |
Ch 4 Sec 5: Isosceles and Equilateral Triangles (pp. 228 - 230) materials correlated to this standard →
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SECTION |
PH.4.5L. |
Ch 4 Sec 5L: Activity Lab: Hands-On: Paper-Folding Conjectures (pp. 227) materials correlated to this standard →
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SECTION |
PH.4.6. |
Ch 4 Sec 6: Congruence in Right Triangles (pp. 235 - 237) materials correlated to this standard →
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SECTION |
PH.4.7. |
Ch 4 Sec 7: Using Corresponding Parts of Congruent Triangles (pp. 241 - 243) materials correlated to this standard →
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SECTION |
PH.4.7E. |
Ch 4 Sec 7E: Extension: Writing Flow Proofs (pp. 247) materials correlated to this standard →
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SECTION |
PH.4.7L. |
Ch 4 Sec 7L: Activity Lab: Data Analysis: Probability (pp. 254 - 255) materials correlated to this standard →
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CHAPTER |
PH.5. |
Chapter 5: Relationships within Triangles |
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SECTION |
PH.5.1. |
Ch 5 Sec 1: Midsegments of Triangles (pp. 259 - 261) materials correlated to this standard →
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SECTION |
PH.5.1L. |
Ch 5 Sec 1L: Activity Lab: Technology: Investigating Midsegments (pp. 258) materials correlated to this standard →
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SECTION |
PH.5.2. |
Ch 5 Sec 2: Bisectors in Triangles (pp. 265 - 267) materials correlated to this standard →
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SECTION |
PH.5.3. |
Ch 5 Sec 3: Concurrent Lines, Medians and Altitudes (pp. 272 - 275) materials correlated to this standard →
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SECTION |
PH.5.3L. |
Ch 5 Sec 3L: Activity Lab: Technology: Special Segments in Triangles (pp. 271) materials correlated to this standard →
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SECTION |
PH.5.4. |
Ch 5 Sec 4: Inverses, Contrapositives, and Indirect Reasoning (pp. 280 - 283) materials correlated to this standard →
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SECTION |
PH.5.5. |
Ch 5 Sec 5: Inequalities in Triangles (pp. 289 - 292) materials correlated to this standard →
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SECTION |
PH.5.5L. |
Ch 5 Sec 5L: Activity Lab: Applying Theorems About Triangles (pp. 302 - 303) materials correlated to this standard →
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CHAPTER |
PH.6. |
Chapter 6: Quadrilaterals |
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SECTION |
PH.6.1. |
Ch 6 Sec 1: Classifying Quadrilaterals (pp. 306 - 308) materials correlated to this standard →
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SECTION |
PH.6.2. |
Ch 6 Sec 2: Properties of Parallelograms (pp. 312 - 315) materials correlated to this standard →
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SECTION |
PH.6.3. |
Ch 6 Sec 3: Proving That a Quadrilateral is a Parallelogram (pp. 321 - 324) materials correlated to this standard →
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SECTION |
PH.6.3L. |
Ch 6 Sec 3L: Activity Lab: Hands-On: Geo-Models (pp. 320) materials correlated to this standard →
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SECTION |
PH.6.4. |
Ch 6 Sec 4: Special Parallelograms (pp. 329 - 332) materials correlated to this standard →
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SECTION |
PH.6.4L. |
Ch 6 Sec 4L: Activity Lab: Technology: Diagonals of Parallelograms (pp. 328) materials correlated to this standard →
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SECTION |
PH.6.5. |
Ch 6 Sec 5: Trapezoids and Kites (pp. 336 - 338) materials correlated to this standard →
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SECTION |
PH.6.5L. |
Ch 6 Sec 5L: Activity Lab: Technology: Quadrilaterals in Quadrilaterals (pp. 342) materials correlated to this standard →
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SECTION |
PH.6.6. |
Ch 6 Sec 6: Placing Figures in the Coordinate Plane (pp. 343 - 344) materials correlated to this standard →
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SECTION |
PH.6.7. |
Ch 6 Sec 7: Proofs Using Coordinate Geometry (pp. 348 - 349) materials correlated to this standard →
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SECTION |
PH.6.7L. |
Ch 6 Sec 7L: Activity Lab: Data Analysis: Interpreting Data (pp. 362 -363) materials correlated to this standard →
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CHAPTER |
PH.7. |
Chapter 7: Similarity |
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SECTION |
PH.7.1. |
Ch 7 Sec 1: Ratios and Proportions (pp. 366 - 368) materials correlated to this standard →
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SECTION |
PH.7.2. |
Ch 7 Sec 2: Similar Polygons (pp. 373 - 375) materials correlated to this standard →
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SECTION |
PH.7.2E. |
Ch 7 Sec 2E: Extension: Fractals (pp. 380 - 381) materials correlated to this standard →
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SECTION |
PH.7.3. |
Ch 7 Sec 3: Proving Triangles Similar (pp. 382 - 385) materials correlated to this standard →
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SECTION |
PH.7.4. |
Ch 7 Sec 4: Similarity in Right Triangles (pp. 391 - 393) materials correlated to this standard →
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SECTION |
PH.7.5. |
Ch 7 Sec 5: Proportions in Triangles (pp. 398 - 400) materials correlated to this standard →
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SECTION |
PH.7.5L1. |
Ch 7 Sec 5L: Activity Lab: Technology: Exploring Proportions in Triangles (pp. 397) materials correlated to this standard →
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SECTION |
PH.7.5L2. |
Ch 7 Sec 5L: Activity Lab: Data Analysis: Accuracy and Precision in Measuring (pp. 412 - 413) materials correlated to this standard →
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CHAPTER |
PH.8. |
Chapter 8: Right Triangles and Trigonometry |
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SECTION |
PH.8.1. |
Ch 8 Sec 1: The Pythagorean Theorem and Its Converse (pp. 417 - 419) materials correlated to this standard →
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SECTION |
PH.8.1L. |
Ch 8 Sec 1L: Activity Lab: Hands-On: The Pythagorean Theorem (pp. 416) materials correlated to this standard →
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SECTION |
PH.8.2. |
Ch 8 Sec 2: Special Right Triangles (pp. 425 - 427) materials correlated to this standard →
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SECTION |
PH.8.3. |
Ch 8 Sec 3: The Tangent Ratio (pp. 432 - 434) materials correlated to this standard →
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SECTION |
PH.8.3L. |
Ch 8 Sec 3L: Activity Lab: Hands-On: The Staff and Stadiascope (pp. 431) materials correlated to this standard →
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SECTION |
PH.8.4. |
Ch 8 Sec 4: Sine and Cosine Ratios (pp. 439 - 440) materials correlated to this standard →
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SECTION |
PH.8.4L. |
Ch 8 Sec 4L: Activity Lab: Technology: Exploring Trigonometric Ratios (pp. 438) materials correlated to this standard →
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SECTION |
PH.8.5. |
Ch 8 Sec 5: Angles of Elevation and Depression (pp. 445 - 446) materials correlated to this standard →
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SECTION |
PH.8.5L. |
Ch 8 Sec 5L: Activity Lab: Hands-On: Measuring From Afar (pp. 444) materials correlated to this standard →
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SECTION |
PH.8.6. |
Ch 8 Sec 6: Vectors (pp. 452 - 455) materials correlated to this standard →
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SECTION |
PH.8.6L. |
Ch 8 Sec 6L: Activity Lab: Applying the Pythagorean Theorem (pp. 466 - 467) materials correlated to this standard →
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CHAPTER |
PH.9. |
Chapter 9: Transformations |
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SECTION |
PH.9.1. |
Ch 9 Sec 1: Translations (pp. 470 - 472) materials correlated to this standard →
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SECTION |
PH.9.2. |
Ch 9 Sec 2: Reflections (pp. 478 - 479) materials correlated to this standard →
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SECTION |
PH.9.2L. |
Ch 9 Sec 2L: Activity Lab: Hands-On: Paper Folding and Reflections (pp. 477) materials correlated to this standard →
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SECTION |
PH.9.3. |
Ch 9 Sec 3: Rotations (pp. 483 - 485) materials correlated to this standard →
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SECTION |
PH.9.3L. |
Ch 9 Sec 3L: Activity Lab: Hands-On: Tracing-Paper Transformations (pp. 490 - 491) materials correlated to this standard →
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SECTION |
PH.9.4. |
Ch 9 Sec 4: Symmetry (pp. 492 - 493) materials correlated to this standard →
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SECTION |
PH.9.5. |
Ch 9 Sec 5: Dilations (pp. 498 - 499) materials correlated to this standard →
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SECTION |
PH.9.5E. |
Ch 9 Sec 5E: Extension: Transformations Using Vectors and Matrices (pp. 504 - 505) materials correlated to this standard →
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SECTION |
PH.9.6. |
Ch 9 Sec 6: Compositions of Reflections (pp. 506 - 509) materials correlated to this standard →
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SECTION |
PH.9.6L. |
Ch 9 Sec 6L: Activity Lab: Technology: Kaleidoscopes (pp. 513) materials correlated to this standard →
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SECTION |
PH.9.7. |
Ch 9 Sec 7: Tessellations (pp. 515 -517) materials correlated to this standard →
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SECTION |
PH.9.7L1. |
Ch 9 Sec 7L: Activity Lab: Hands-On: Frieze Patterns (pp. 514) materials correlated to this standard →
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SECTION |
PH.9.7L2. |
Ch 9 Sec 7L: Activity Lab: Applying Translations and Rotations (pp. 528 - 529) materials correlated to this standard →
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CHAPTER |
PH.10. |
Chapter 10: Area |
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SECTION |
PH.10.1. |
Ch 10 Sec 1: Areas of Parallelograms and Triangles (pp. 534 - 536) materials correlated to this standard →
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SECTION |
PH.10.1L. |
Ch 10 Sec 1L: Activity Lab: Hands-On: Transforming to Find Area (pp. 532 - 533) materials correlated to this standard →
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SECTION |
PH.10.2. |
Ch 10 Sec 2: Area of Trapezoids, Rhombuses, and Kites (pp. 540 - 542) materials correlated to this standard →
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SECTION |
PH.10.3. |
Ch 10 Sec 3: Areas of Regular Polygons (pp. 546 - 547) materials correlated to this standard →
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SECTION |
PH.10.4. |
Ch 10 Sec 4: Perimeters and Areas of Similar Figures (pp. 553 - 555) materials correlated to this standard →
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SECTION |
PH.10.5. |
Ch 10 Sec 5: Trigonometry and Area (pp. 559 - 561) materials correlated to this standard →
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SECTION |
PH.10.5E. |
Ch 10 Sec 5E: Extension: Laws of Sines and Cosines (pp. 565) materials correlated to this standard →
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SECTION |
PH.10.6. |
Ch 10 Sec 6: Circles and Arcs (pp. 566 - 569) materials correlated to this standard →
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SECTION |
PH.10.7. |
Ch 10 Sec 7: Areas of Circles and Sectors (pp. 575 - 577) materials correlated to this standard →
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SECTION |
PH.10.7L. |
Ch 10 Sec 7L: Activity Lab: Technology: Exploring Area and Circumference (pp. 581) materials correlated to this standard →
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SECTION |
PH.10.8. |
Ch 10 Sec 8: Geometric Probability (pp. 582 - 584) materials correlated to this standard →
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SECTION |
PH.10.8L. |
Ch 10 Sec 8L: Activity Lab: Data Analysis: Misleading Graphs (pp. 594 - 595) materials correlated to this standard →
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CHAPTER |
PH.11. |
Chapter 11: Surface Area and Volume |
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SECTION |
PH.11.1. |
Ch 11 Sec 1: Space Figures and Cross Sections (pp. 598 - 600) materials correlated to this standard →
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SECTION |
PH.11.1E. |
Ch 11 Sec 1E: Extension: Perspective Drawing (pp. 605 - 606) materials correlated to this standard →
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SECTION |
PH.11.2. |
Ch 11 Sec 2: Surface Areas of Prisms and Cylinders (pp. 608 - 611) materials correlated to this standard →
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SECTION |
PH.11.2L. |
Ch 11 Sec 2L: Activity Lab: Technology: Exploring Surface Area (pp. 616) materials correlated to this standard →
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SECTION |
PH.11.3. |
Ch 11 Sec 3: Surface Areas of Pyramids and Cones (pp. 617 - 620) |
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SECTION |
PH.11.4. |
Ch 11 Sec 4: Volumes of Prisms and Cylinders (pp. 624 -627) materials correlated to this standard →
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SECTION |
PH.11.5. |
Ch 11 Sec 5: Volumes of Pyramids and Cones (pp. 631 - 634) materials correlated to this standard →
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SECTION |
PH.11.6. |
Ch 11 Sec 6: Surface Areas and Volumes of Spheres (pp. 638 - 640) materials correlated to this standard →
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SECTION |
PH.11.7. |
Ch 11 Sec 7: Areas and Volumes of Similar Solids (pp. 646 - 648) materials correlated to this standard →
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SECTION |
PH.11.7L1. |
Ch 11 Sec 7L: Activity Lab: Technology: Exploring Similar Solids (pp. 645) materials correlated to this standard →
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SECTION |
PH.11.7L2. |
Ch 11 Sec 7L: Activity Lab: Applying Volume (pp. 658 - 659) materials correlated to this standard →
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CHAPTER |
PH.12. |
Chapter 12: Circles |
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SECTION |
PH.12.1. |
Ch 12 Sec 1: Tangent Lines (pp. 662 - 665) materials correlated to this standard →
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SECTION |
PH.12.2. |
Ch 12 Sec 2: Chords and Arcs (pp. 670 - 673) materials correlated to this standard →
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SECTION |
PH.12.2L. |
Ch 12 Sec 2L: Activity Lab: Hands-On: Paper Folding With Circles (pp. 669) materials correlated to this standard →
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SECTION |
PH.12.3. |
Ch 12 Sec 3: Inscribed Angles (pp. 678 - 681) materials correlated to this standard →
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SECTION |
PH.12.4. |
Ch 12 Sec 4: Angle Measures and Segment Lengths (pp. 687 - 690) materials correlated to this standard →
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SECTION |
PH.12.4L. |
Ch 12 Sec 4L: Activity Lab: Technology: Exploring Chords and Secants (pp. 686) materials correlated to this standard →
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SECTION |
PH.12.4E. |
Ch 12 Sec 4E: Extension: Tangent Lines, Tangent Ratios (pp. 694) materials correlated to this standard →
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SECTION |
PH.12.5. |
Ch 12 Sec 5: Circles in the Coordinate Plane (pp. 695 - 697) materials correlated to this standard →
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SECTION |
PH.12.6. |
Ch 12 Sec 6: Locus: A Set of Points (pp. 701 - 702) materials correlated to this standard →
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SECTION |
PH.12.6L. |
Ch 12 Sec 6L: Activity Lab: Data Analysis: Market Research (pp. 714 - 715) materials correlated to this standard →
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