PH - Geometry c2011

Mathematics - Grade 9

CHAPTER | PH.1. | Chapter 1: Tools of Geometry | |||||

LESSON | PH.1.1. | Chapter 1 Lesson 1: Nets and Drawings for Visualizing Geometry (pp 4-10)materials correlated to this standard → |
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LESSON | PH.1.2. | Chapter 1 Lesson 2: Points, Lines, and Planes (pp 11-19)materials correlated to this standard → |
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LESSON | PH.1.3. | Chapter 1 Lesson 3: Measuring Segments (pp 20-26)materials correlated to this standard → |
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LESSON | PH.1.4. | Chapter 1 Lesson 4: Measuring Angles (pp 27-33)materials correlated to this standard → |
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LESSON | PH.1.5. | Chapter 1 Lesson 5: Exploring Angle Pairs (pp 34-40)materials correlated to this standard → |
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LESSON | PH.1.6Con1. | Chapter 1 Concept Byte: Compass Designs (pp 42)materials correlated to this standard → |
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LESSON | PH.1.6. | Chapter 1 Lesson 6: Basic Constructions (pp 43-48)materials correlated to this standard → |
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LESSON | PH.1.6Con2. | Chapter 1 Concept Byte: Exploring Constructions (pp 49)materials correlated to this standard → |
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LESSON | PH.1.7. | Chapter 1 Lesson 7: Midpoint and Distance in the Coordinate Plane (pp 50-56)materials correlated to this standard → |
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LESSON | PH.1.8. | Chapter 1 Lesson 8: Perimeter Circumference, and Area (pp 59-67)materials correlated to this standard → |
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LESSON | PH.1.8Con. | Chapter 1 Concept Byte: Comparing Perimeters and Areas (pp 68)materials correlated to this standard → |
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CHAPTER | PH.2. | Chapter 2: Reasoning and Proof | |||||

LESSON | PH.2.1. | Chapter 2 Lesson 1: Patterns and Inductive Reasoning (pp 82-88)materials correlated to this standard → |
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LESSON | PH.2.2. | Chapter 2 Lesson 2: Conditional Statements (pp 89-95)materials correlated to this standard → |
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LESSON | PH.2.2Con. | Chapter 2 Concept Byte: Logic and Truth Tables (pp 96-97)materials correlated to this standard → |
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LESSON | PH.2.3. | Chapter 2 Lesson 3: Biconditionals and Definitions (pp 98-104)materials correlated to this standard → |
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LESSON | PH.2.4. | Chapter 2 Lesson 4: Deductive Reasoning (pp 106-112)materials correlated to this standard → |
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LESSON | PH.2.5. | Chapter 2 Lesson 5: Reasoning in Algebra and Geometry (pp 113-119)materials correlated to this standard → |
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LESSON | PH.2.6. | Chapter 2 Lesson 6: Proving Angles Congruent (pp 120-127)materials correlated to this standard → |
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CHAPTER | PH.3. | Chapter 3: Parallel and Perpendicular Lines | |||||

LESSON | PH.3.1. | Chapter 3 Lesson 1: Lines and Angles (pp 140-146)materials correlated to this standard → |
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LESSON | PH.3.2Con. | Chapter 3 Concept Byte: Parallel Lines and Related Angles (pp 147)materials correlated to this standard → |
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LESSON | PH.3.2. | Chapter 3 Lesson 2: Properties of Parallel Lines (pp 148-155)materials correlated to this standard → |
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LESSON | PH.3.3. | Chapter 3 Lesson 3: Proving Lines Parallel (pp 156-163)materials correlated to this standard → |
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LESSON | PH.3.4. | Chapter 3 Lesson 4: Parallel and Perpendicular Lines (pp 164-169)materials correlated to this standard → |
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LESSON | PH.3.4Con. | Chapter 3 Concept Byte: Perpendicular Lines and Planes (pp 170)materials correlated to this standard → |
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LESSON | PH.3.5. | Chapter 3 Lesson 5: Parallel Lines and Triangles (pp 171-178)materials correlated to this standard → |
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LESSON | PH.3.5Con. | Chapter 3 Concept Byte: Exploring Spherical Geometry (pp 179-180) | |||||

LESSON | PH.3.6. | Chapter 3 Lesson 6: Constructing Parallel and Perpendicular Lines (pp 182-188)materials correlated to this standard → |
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LESSON | PH.3.7. | Chapter 3 Lesson 7: Equations of Line in the Coordinate Plane (pp 189-196)materials correlated to this standard → |
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LESSON | PH.3.8. | Chapter 3 Lesson 8: Slopes of Parallel and Perpendicular Lines (pp 197-204)materials correlated to this standard → |
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CHAPTER | PH.4. | Chapter 4: Congruent Triangles | |||||

LESSON | PH.4.1. | Chapter 4 Lesson 1: Congruent Figures (pp 218-224)materials correlated to this standard → |
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LESSON | PH.4.2Con. | Chapter 4 Concept Byte: Building Congruent Triangles (pp 225)materials correlated to this standard → |
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LESSON | PH.4.2. | Chapter 4 Lesson 2: Triangle Congruence by SSS and SAS (pp 226-233)materials correlated to this standard → |
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LESSON | PH.4.3. | Chapter 4 Lesson 3: Triangle Congruence by ASA and AAS (pp 234-241)materials correlated to this standard → |
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LESSON | PH.4.3Con. | Chapter 4 Concept Byte: Exploring AAA and SSA (pp 242)materials correlated to this standard → |
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LESSON | PH.4.4. | Chapter 4 Lesson 4: Using Corresponding Parts of Congruent Triangles (pp 244-248)materials correlated to this standard → |
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LESSON | PH.4.5Con. | Chapter 4 Concept Byte: Paper-Folding Conjectures (pp 249)materials correlated to this standard → |
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LESSON | PH.4.5. | Chapter 4 Lesson 5: Isosceles and Equilateral Triangles (pp 250-256)materials correlated to this standard → |
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LESSON | PH.4.6. | Chapter 4 Lesson 6: Congruence in Right Triangles (pp 258-264)materials correlated to this standard → |
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LESSON | PH.4.7. | Chapter 4 Lesson 7: Congruence in Overlapping Triangles (pp 265-271)materials correlated to this standard → |
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CHAPTER | PH.5. | Chapter 5: Relationships Within Triangles | |||||

LESSON | PH.5.1Con. | Chapter 5 Concept Byte: Investigating Midsegments (pp 284)materials correlated to this standard → |
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LESSON | PH.5.1. | Chapter 5 Lesson 1: Midsegments of Triangles (pp 285-291)materials correlated to this standard → |
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LESSON | PH.5.2. | Chapter 5 Lesson 2: Perpendicular and Angle Bisectors (pp 292-299)materials correlated to this standard → |
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LESSON | PH.5.3Con. | Chapter 5 Concept Byte: Paper Folding Bisectors (pp 300)materials correlated to this standard → |
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LESSON | PH.5.3. | Chapter 5 Lesson 3: Bisectors in Triangles (pp 301-307)materials correlated to this standard → |
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LESSON | PH.5.4Con. | Chapter 5 Concept Byte: Special Segments in Triangles (pp 308)materials correlated to this standard → |
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LESSON | PH.5.4. | Chapter 5 Lesson 4: Medians and Altitudes (pp 309-315)materials correlated to this standard → |
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LESSON | PH.5.5. | Chapter 5 Lesson 5: Indirect Proof (pp 317-322) | |||||

LESSON | PH.5.6. | Chapter 5 Lesson 6: Inequalities in One Triangle (pp 324-331)materials correlated to this standard → |
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LESSON | PH.5.7. | Chapter 5 Lesson 7: Inequalities in Two Triangles (pp 332-339)materials correlated to this standard → |
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CHAPTER | PH.6. | Chapter 6: Polygons and Quadrilaterals | |||||

LESSON | PH.6.1Con. | Chapter 6 Concept Byte: Exterior Angles of Polygons (pp 352)materials correlated to this standard → |
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LESSON | PH.6.1. | Chapter 6 Lesson 1: The Polygon-Angle Sum Theorems (pp 353-358)materials correlated to this standard → |
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LESSON | PH.6.2. | Chapter 6 Lesson 2: Properties of Parallelograms (pp 359-366)materials correlated to this standard → |
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LESSON | PH.6.3. | Chapter 6 Lesson 3: Proving That a Quadrilateral Is a Parallelogram (pp 367-374)materials correlated to this standard → |
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LESSON | PH.6.4. | Chapter 6 Lesson 4: Properties of Rhombuses, and Rectangles, and Squares (pp 375-382)materials correlated to this standard → |
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LESSON | PH.6.5. | Chapter 6 Lesson 5: Conditions for Rhombuses, Rectangles, and Squares (pp 383-388)materials correlated to this standard → |
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LESSON | PH.6.6. | Chapter 6 Lesson 6: Trapezoids and Kites (pp 389-397)materials correlated to this standard → |
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LESSON | PH.6.7. | Chapter 6 Lesson 7: Polygons in the Coordinate Plane (pp 400-405)materials correlated to this standard → |
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LESSON | PH.6.8. | Chapter 6 Lesson 8: Applying Coordinate Geometry (pp 406-412)materials correlated to this standard → |
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LESSON | PH.6.9Con. | Chapter 6 Concept Byte: Quadrilaterals in Quadrilaterals (pp 413)materials correlated to this standard → |
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LESSON | PH.6.9. | Chapter 6 Lesson 9: Proofs Using Coordinate Geometry (pp 414-418)materials correlated to this standard → |
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CHAPTER | PH.7. | Chapter 7: Similarity | |||||

LESSON | PH.7.1. | Chapter 7 Lesson 1: Ratios and Proportions (pp 432-438)materials correlated to this standard → |
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LESSON | PH.7.2. | Chapter 7 Lesson 2: Similar Polygons (pp 440-447)materials correlated to this standard → |
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LESSON | PH.7.2Con. | Chapter 7 Concept Byte: Fractals (pp 448-449)materials correlated to this standard → |
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LESSON | PH.7.3. | Chapter 7 Lesson 3: Proving Triangles Similar (pp 450-458)materials correlated to this standard → |
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LESSON | PH.7.4. | Chapter 7 Lesson 4: Similarity in Right Triangles (pp 460-467)materials correlated to this standard → |
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LESSON | PH.7.4Con. | Chapter 7 Concept Byte: The Golden Ratio (pp 468-469)materials correlated to this standard → |
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LESSON | PH.7.5Con. | Chapter 7 Concept Byte: Exploring Proportions in Triangles (pp 470)materials correlated to this standard → |
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LESSON | PH.7.5. | Chapter 7 Lesson 5: Proportions in Triangles (pp 471-478)materials correlated to this standard → |
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CHAPTER | PH.8. | Chapter 8: Right Triangles and Trigonometry | |||||

LESSON | PH.8.1Con. | Chapter 8 Concept Byte: The Pythagorean Theorem (pp 490)materials correlated to this standard → |
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LESSON | PH.8.1. | Chapter 8 Lesson 1: The Pythagorean Theorem and Its Converse (pp 491-498)materials correlated to this standard → |
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LESSON | PH.8.2. | Chapter 8 Lesson 2: Special Right Triangles (pp 499-505)materials correlated to this standard → |
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LESSON | PH.8.3Con. | Chapter 8 Concept Byte: Exploring Trigonometric Ratios (pp 506)materials correlated to this standard → |
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LESSON | PH.8.3. | Chapter 8 Lesson 3: Trigonometry (pp 507-513)materials correlated to this standard → |
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LESSON | PH.8.4Con1. | Chapter 8 Concept Byte: Measuring Form Afar (pp 515)materials correlated to this standard → |
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LESSON | PH.8.4. | Chapter 8 Lesson 4: Angles of Elevation and Depression (pp 516-521)materials correlated to this standard → |
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LESSON | PH.8.4Con2. | Chapter 8 Concept Byte: Law of Sines and Law of Cosines (pp 522-523)materials correlated to this standard → |
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LESSON | PH.8.5. | Chapter 8 Lesson 5: Vectors (pp 524-532)materials correlated to this standard → |
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CHAPTER | PH.9. | Chapter 9: Transformations | |||||

LESSON | PH.9.1. | Chapter 9 Lesson 1: Translations (pp 544-551)materials correlated to this standard → |
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LESSON | PH.9.2Con. | Chapter 9 Concept Byte: Paper Folding and Reflections (pp 552)materials correlated to this standard → |
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LESSON | PH.9.2. | Chapter 9 Lesson 2: Reflections (pp 553-558)materials correlated to this standard → |
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LESSON | PH.9.3. | Chapter 9 Lesson 3: Rotations (pp 559-565)materials correlated to this standard → |
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LESSON | PH.9.3Con. | Chapter 9 Concept Byte: Tracing Paper Transformations (pp 566-567)materials correlated to this standard → |
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LESSON | PH.9.4. | Chapter 9 Lesson 4: Symmetry (pp 568-573)materials correlated to this standard → |
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LESSON | PH.9.5. | Chapter 9 Lesson 5: Dilations (pp 575-581)materials correlated to this standard → |
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LESSON | PH.9.5Con. | Chapter 9 Concept Byte: Transformations Using Vectors (pp 582-583)materials correlated to this standard → |
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LESSON | PH.9.6. | Chapter 9 Lesson 6: Compositions of Reflections (pp 584-592)materials correlated to this standard → |
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LESSON | PH.9.6Con. | Chapter 9 Concept Byte: Frieze Patterns (pp 593)materials correlated to this standard → |
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LESSON | PH.9.7Con. | Chapter 9 Concept Byte: Creating Tessellations (pp 594)materials correlated to this standard → |
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LESSON | PH.9.7. | Chapter 9 Lesson 7: Tessellations (pp 595-601)materials correlated to this standard → |
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CHAPTER | PH.10. | Chapter 10: Area | |||||

LESSON | PH.10.1Con. | Chapter 10 Concept Byte: Transforming to Find Area (pp 614-615)materials correlated to this standard → |
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LESSON | PH.10.1. | Chapter 10 Lesson 1: Areas of Parallelograms and Triangles (pp 616-622)materials correlated to this standard → |
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LESSON | PH.10.2. | Chapter 10 Lesson 2: Areas of Trapezoids, Rhombuses, and Kites (pp 623-628)materials correlated to this standard → |
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LESSON | PH.10.3. | Chapter 10 Lesson 3: Areas of Regular Polygons (pp 629-634)materials correlated to this standard → |
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LESSON | PH.10.4. | Chapter 10 Lesson 4: Perimeters and Areas of Similar Figures (pp 635-641)materials correlated to this standard → |
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LESSON | PH.10.5. | Chapter 10 Lesson 5: Trigonometry and Area (pp 643-648)materials correlated to this standard → |
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LESSON | PH.10.6. | Chapter 10 Lesson 6: Circles and Arcs (pp 649-657)materials correlated to this standard → |
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LESSON | PH.10.6Con. | Chapter 10 Concept Byte: Circle Graphs (pp 658)materials correlated to this standard → |
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LESSON | PH.10.7Con1. | Chapter 10 Concept Byte: Exploring the Area of a Circle (pp 659)materials correlated to this standard → |
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LESSON | PH.10.7. | Chapter 10 Lesson 7: Areas of Circles and Sectors (pp 660-666)materials correlated to this standard → |
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LESSON | PH.10.7Con2. | Chapter 10 Concept Byte: Exploring Area and Circumference (pp 667)materials correlated to this standard → |
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LESSON | PH.10.8. | Chapter 10 Lesson 8: Geometric Probability (pp 668-674)materials correlated to this standard → |
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CHAPTER | PH.11. | Chapter 11: Surface Area and Volume | |||||

LESSON | PH.11.1. | Chapter 11 Lesson 1: Space Figures and Cross Sections (pp 688-695)materials correlated to this standard → |
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LESSON | PH.11.1Con. | Chapter 11 Concept Byte: Perspective Drawing (pp 696-697)materials correlated to this standard → |
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LESSON | PH.11.2. | Chapter 11 Lesson 2: Surface Areas of Prisms and Cylinders (pp 717-724)materials correlated to this standard → |
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LESSON | PH.11.3. | Chapter 11 Lesson 3: Surface Areas of Pyramids and Cones (pp 726-732) | |||||

LESSON | PH.11.4. | Chapter 11 Lesson 4: Volumes of Prisms and Cylinders (pp 717-724)materials correlated to this standard → |
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LESSON | PH.11.5Con. | Chapter 11 Concept Byte: Finding Volume (pp 725)materials correlated to this standard → |
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LESSON | PH.11.5. | Chapter 11 Lesson 5: Volumes of Pyramids and Cones (pp 726-732)materials correlated to this standard → |
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LESSON | PH.11.6. | Chapter 11 Lesson 6: Surface Areas and Volumes of Spheres (pp 733-740)materials correlated to this standard → |
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LESSON | PH.11.7Con. | Chapter 11 Concept Byte: Exploring Similar Solids (pp 741)materials correlated to this standard → |
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LESSON | PH.11.7. | Chapter 11 Lesson 7: Areas and Volume of Similar Solids (pp 742-749) | |||||

CHAPTER | PH.12. | Chapter 12: Circles | |||||

LESSON | PH.12.1. | Chapter 12 Lesson 1: Tangent Lines (pp 762-769)materials correlated to this standard → |
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LESSON | PH.12.2Con. | Chapter 12 Concept Byte: Paper Folding With Circles (pp 770)materials correlated to this standard → |
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LESSON | PH.12.2. | Chapter 12 Lesson 2: Chords and Arcs (pp 771-779)materials correlated to this standard → |
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LESSON | PH.12.3. | Chapter 12 Lesson 3: Inscribed Angles (pp 780-787)materials correlated to this standard → |
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LESSON | PH.12.4Con. | Chapter 12 Concept Byte: Exploring Chords and Secants (pp 789)materials correlated to this standard → |
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LESSON | PH.12.4. | Chapter 12 Lesson 4: Angle Measures and Segment Lengths (790-797)materials correlated to this standard → |
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LESSON | PH.12.5. | Chapter 12 Lesson 5: Circles in the Coordinate Plane (pp 798-803)materials correlated to this standard → |
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LESSON | PH.12.6. | Chapter 12 Lesson 6: Locus: A Set of Points (pp 804-809)materials correlated to this standard → |