HM - Geometry c2011

Mathematics - Grade 10

CHAPTER | HM.1. | Chapter 1: Foundations for Geometry | |||||

SECTION | HM.1.1A. | Ch 1 Section 1A: Euclidean and Construction Tools | |||||

LESSON | HM.1.1A.1. | Ch 1 Section 1A Lesson 1: Understanding Points, Lines, and Planes (pp 6-11)materials correlated to this standard → |
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LESSON | HM.1.1A.Lab. | Ch 1 Section 1A Lab: Explore Properties Associated with Points (pp 12)materials correlated to this standard → |
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LESSON | HM.1.1A.2. | Ch 1 Section 1A Lesson 2: Measuring and Constructing Segments (pp 13-19)materials correlated to this standard → |
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LESSON | HM.1.1A.3. | Ch 1 Section 1A Lesson 3: Measuring and Constructing Angles (pp 20-27)materials correlated to this standard → |
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LESSON | HM.1.1A.4. | Ch 1 Section 1A Lesson 4: Pairs of Angles (pp 28-33)materials correlated to this standard → |
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SECTION | HM.1.1B. | Ch 1 Section 1A: Coordinate and Transformation Tools | |||||

LESSON | HM.1.1B.5. | Ch 1 Section 1A Lesson 5: Using Formulas in Geometry (pp 36-41)materials correlated to this standard → |
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LESSON | HM.1.1B.6. | Ch 1 Section 1A Lesson 6: Midpoint and Distance in the Coordinate Plane (pp 43-49)materials correlated to this standard → |
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LESSON | HM.1.1B.7. | Ch 1 Section 1A Lesson 7: Transformations in the Coordinate Plane (pp 50-55)materials correlated to this standard → |
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LESSON | HM.1.1B.Lab. | Ch 1 Section 1A Lab: Explore Transformations (pp 56-57)materials correlated to this standard → |
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CHAPTER | HM.2. | Chapter 2: Geometric Reasoning | |||||

SECTION | HM.2.2A. | Ch 2 Section 2A: Inductive and Deductive Reasoning | |||||

LESSON | HM.2.2A.1. | Ch 2 Section 2A Lesson 1: Using Inductive Reasoning to Make Conjectures (pp 74-79)materials correlated to this standard → |
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LESSON | HM.2.2A.2. | Ch 2 Section 2A Lesson 2: Conditional Statements (pp 81-87)materials correlated to this standard → |
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LESSON | HM.2.2A.3. | Ch 2 Section 2A Lesson 3: Using Deductive Reasoning to Verify Conjectures (pp 88-93)materials correlated to this standard → |
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LESSON | HM.2.2A.Lab. | Ch 2 Section 2A Lab: Solve Logic Puzzles (pp 94-95)materials correlated to this standard → |
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LESSON | HM.2.2A.4. | Ch 2 Section 2A Lesson 4: Biconditional Statements and Definitions (pp 96-101)materials correlated to this standard → |
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SECTION | HM.2.2B. | Ch 2 Section 2A: Mathematical Proof | |||||

LESSON | HM.2.2B.5. | Ch 2 Section 2A Lesson 5: Algebraic Proof (pp 104-109)materials correlated to this standard → |
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LESSON | HM.2.2B.6. | Ch 2 Section 2A Lesson 6: Geometric Proof (pp 110-116)materials correlated to this standard → |
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LESSON | HM.2.2B.Lab. | Ch 2 Section 2A Lab: Design Plans for Proofs (pp 117)materials correlated to this standard → |
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LESSON | HM.2.2B.7. | Ch 2 Section 2A Lesson 7: Flowchart and Paragraph Proofs (pp 118-125)materials correlated to this standard → |
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CHAPTER | HM.3. | Chapter 3: Parallel and Perpendicular Lines | |||||

SECTION | HM.3.3A. | Ch 3 Section 3A: Lines with Transversals | |||||

LESSON | HM.3.3A.1. | Ch 3 Section 3A Lesson 1: Lines and Angles (pp 146-151)materials correlated to this standard → |
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LESSON | HM.3.3A.Lab1. | Ch 3 Section 3A Lab: Explore Parallel Lines and Transversals (pp 154)materials correlated to this standard → |
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LESSON | HM.3.3A.2. | Ch 3 Section 3A Lesson 2: Angles Formed by Parallel Lines and Transversals (pp 155-161)materials correlated to this standard → |
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LESSON | HM.3.3A.3. | Ch 3 Section 3A Lesson 3: Proving Lines Parallel (pp 162-169)materials correlated to this standard → |
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LESSON | HM.3.3A.Lab2. | Ch 3 Section 3A Lab: Construct Parallel Lines (pp 170-171)materials correlated to this standard → |
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LESSON | HM.3.3A.4. | Ch 3 Section 3A Lesson 4: Perpendicular Lines (pp 172-178)materials correlated to this standard → |
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LESSON | HM.3.3A.Lab3. | Ch 3 Section 3A Lab: Construct Perpendicular Lines (pp 179)materials correlated to this standard → |
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SECTION | HM.3.3B. | Ch 3 Section 3B: Coordinate Geometry | |||||

LESSON | HM.3.3B.5. | Ch 3 Section 3B Lesson 5: Slopes of Lines (pp 182-187)materials correlated to this standard → |
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LESSON | HM.3.3B.Lab. | Ch 3 Section 3B Lab: Explore Parallel and Perpendicular Lines (pp 188-189)materials correlated to this standard → |
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LESSON | HM.3.3B.6. | Ch 3 Section 3B Lesson 6: Lines in the Coordinate Plane (pp 190-197)materials correlated to this standard → |
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CHAPTER | HM.4. | Chapter 4: Triangle Congruence | |||||

SECTION | HM.4.4A. | Ch 4 Section 4A: Triangles and Congruence | |||||

LESSON | HM.4.4A.1. | Ch 4 Section 4A Lesson 1: Classifying Triangles (pp 216-221)materials correlated to this standard → |
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LESSON | HM.4.4A.Lab. | Ch 4 Section 4A Lab: Develop the Triangle Sum Theorem (pp 222)materials correlated to this standard → |
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LESSON | HM.4.4A.2. | Ch 4 Section 4A Lesson 2: Angle Relationships in Triangles (pp 223-230)materials correlated to this standard → |
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LESSON | HM.4.4A.3. | Ch 4 Section 4A Lesson 3: Congruent Triangles (pp 231-237)materials correlated to this standard → |
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SECTION | HM.4.4B. | Ch 4 Section 4B: Proving Triangle Congruence | |||||

LESSON | HM.4.4B.Lab1. | Ch 4 Section 4B Lab: Explore SSS and SAS Triangle Congruence (pp 240-241)materials correlated to this standard → |
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LESSON | HM.4.4B.4. | Ch 4 Section 4B Lesson 4: Triangle Congruence: SSS and SAS (pp 242-249)materials correlated to this standard → |
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LESSON | HM.4.4B.Lab2. | Ch 4 Section 4B Lab: Predict Other Triangle Congruence Relationships (pp 250-251)materials correlated to this standard → |
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LESSON | HM.4.4B.5. | Ch 4 Section 4B Lesson 5: Triangle Congruence: ASA, AAS, and HL (pp 252-259)materials correlated to this standard → |
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LESSON | HM.4.4B.6. | Ch 4 Section 4B Lesson 6: Triangle Congruence: CPCTC (pp 260-265)materials correlated to this standard → |
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LESSON | HM.4.4B.7. | Ch 4 Section 4B Lesson 7: Introduction to Coordinate Proof (pp 267-272)materials correlated to this standard → |
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LESSON | HM.4.4B.8. | Ch 4 Section 4B Lesson 8: Isosceles and Equilateral Triangles (pp 273-279)materials correlated to this standard → |
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CHAPTER | HM.5. | Chapter 5: Properties and Attributes of Triangles | |||||

SECTION | HM.5.5A. | Ch 5 Section 5A: Segments in Triangles | |||||

LESSON | HM.5.5A.1. | Ch 5 Section 5A Lesson 1: Perpendicular and Angle Bisectors (pp 300-306)materials correlated to this standard → |
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LESSON | HM.5.5A.2. | Ch 5 Section 5A Lesson 2: Bisectors of Triangles (pp 307-313)materials correlated to this standard → |
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LESSON | HM.5.5A.3. | Ch 5 Section 5A Lesson 3: Medians and Altitudes of Triangles (pp 314-320)materials correlated to this standard → |
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LESSON | HM.5.5A.Lab. | Ch 5 Section 5A Lab: Special Points in Triangles (pp 321)materials correlated to this standard → |
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LESSON | HM.5.5A.4. | Ch 5 Section 5A Lesson 4: The Triangle Midsegment Theorem (pp 322-327)materials correlated to this standard → |
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SECTION | HM.5.5B. | Ch 5 Section 5B: Relationships in Triangles | |||||

LESSON | HM.5.5B.Lab1. | Ch 5 Section 5B Lab: Explore Triangle Inequalities (pp 331)materials correlated to this standard → |
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LESSON | HM.5.5B.5. | Ch 5 Section 5B Lesson 5: Indirect Proof and Inequalities in One Triangle (pp 332-339)materials correlated to this standard → |
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LESSON | HM.5.5B.6. | Ch 5 Section 5B Lesson 6: Inequalities in Two Triangles (pp 340-346)materials correlated to this standard → |
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LESSON | HM.5.5B.Lab2. | Ch 5 Section 5B Lab: Hands-on Proof of the Pythagorean Theorem (pp 347)materials correlated to this standard → |
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LESSON | HM.5.5B.7. | Ch 5 Section 5B Lesson 7: The Pythagorean Theorem (pp 348-355)materials correlated to this standard → |
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LESSON | HM.5.5B.8. | Ch 5 Section 5B Lesson 8: Applying Special Right Triangles (pp 356-362)materials correlated to this standard → |
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LESSON | HM.5.5B.Lab3. | Ch 5 Section 5B Lab: Graph Irrational Numbers (pp 363)materials correlated to this standard → |
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CHAPTER | HM.6. | Polygons and Quadrilaterals | |||||

SECTION | HM.6.6A. | Ch 6 Section 6A: Polygons and Parallelograms | |||||

LESSON | HM.6.6A.Lab1. | Ch 6 Section 6A Lab: Construct Regular Polygons (pp 380-381)materials correlated to this standard → |
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LESSON | HM.6.6A.1. | Ch 6 Section 6A Lesson 1: Properties and Attributes of Polygons (pp 382-388)materials correlated to this standard → |
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LESSON | HM.6.6A.Lab2. | Ch 6 Section 6A Lab: Explore Properties of Parallelograms (pp 390)materials correlated to this standard → |
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LESSON | HM.6.6A.2. | Ch 6 Section 6A Lesson 2: Properties of Parallelograms (pp 391-397)materials correlated to this standard → |
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LESSON | HM.6.6A.3. | Ch 6 Section 6A Lesson 3: Conditions for Parallelograms (pp 398-405)materials correlated to this standard → |
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SECTION | HM.6.6B. | Ch 6 Section 6B: Other Special Quadrilaterals | |||||

LESSON | HM.6.6B.4. | Ch 6 Section 6B Lesson 4: Properties of Special Parallelograms (pp 408-415)materials correlated to this standard → |
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LESSON | HM.6.6B.Lab1. | Ch 6 Section 6B Lab: Predict Conditions for Special Parallelograms (pp 416-417)materials correlated to this standard → |
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LESSON | HM.6.6B.5. | Ch 6 Section 6B Lesson 5: Conditions for Special Parallelograms (pp 418-425)materials correlated to this standard → |
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LESSON | HM.6.6B.Lab2. | Ch 6 Section 6B Lab: Explore Isosceles Trapezoids (pp 426)materials correlated to this standard → |
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LESSON | HM.6.6B.6. | Ch 6 Section 6B Lesson 6: Properties of Kites and Trapezoids (pp 427-435)materials correlated to this standard → |
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CHAPTER | HM.7. | Chapter 7: Similarity | |||||

SECTION | HM.7.7A. | Ch 7 Section 7A: Similarity Relationships | |||||

LESSON | HM.7.7A.1. | Ch 7 Section 7A Lesson 1: Ratio and Proportion (pp 454-459)materials correlated to this standard → |
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LESSON | HM.7.7A.Lab1. | Ch 7 Section 7A Lab: Explore the Golden Ratio (pp 460-461)materials correlated to this standard → |
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LESSON | HM.7.7A.2. | Ch 7 Section 7A Lesson 2: Ratios in Similar Polygons (pp 462-467)materials correlated to this standard → |
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LESSON | HM.7.7A.Lab2. | Ch 7 Section 7A Lab: Predict Triangle Similarity Relationships (pp 468-469)materials correlated to this standard → |
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LESSON | HM.7.7A.3. | Ch 7 Section 7A Lesson 3: Triangle Similarity: AA, SSS, and SAS (pp 470-477)materials correlated to this standard → |
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SECTION | HM.7.7B. | Ch 7 Section 7B: Applying Similarity | |||||

LESSON | HM.7.7B.Lab. | Ch 7 Section 7B Lab: Investigate Angle Bisectors of a Triangle (pp 480)materials correlated to this standard → |
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LESSON | HM.7.7B.4. | Ch 7 Section 7B Lesson 4: Applying Properties of Similar Triangles (pp 481-487)materials correlated to this standard → |
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LESSON | HM.7.7B.5. | Ch 7 Section 7B Lesson 5: Using Proportional Relationships (pp 488-494)materials correlated to this standard → |
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LESSON | HM.7.7B.6. | Ch 7 Section 7B Lesson 6: Dilations and Similarity in the Coordinate Plane (pp 495-500)materials correlated to this standard → |
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CHAPTER | HM.8. | Chapter 8: Right Triangles and Trigonometry | |||||

SECTION | HM.8.8A. | Ch 8 Section 8A: Trigonometric Ratios | |||||

LESSON | HM.8.8A.1. | Ch 8 Section 8A Lesson 1: Similarity in Right Triangles (pp 518-523)materials correlated to this standard → |
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LESSON | HM.8.8A.Lab. | Ch 8 Section 8A Lab: Explore Trigonometric Ratios (pp 524)materials correlated to this standard → |
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LESSON | HM.8.8A.2. | Ch 8 Section 8A Lesson 2: Trigonometric Ratios (pp 525-532)materials correlated to this standard → |
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LESSON | HM.8.8A.3. | Ch 8 Section 8A Lesson 3: Solving Right Triangles (pp 534-541)materials correlated to this standard → |
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SECTION | HM.8.8B. | Ch 8 Section 8B: Applying Trigonometric Ratios | |||||

LESSON | HM.8.8B.4. | Ch 8 Section 8B Lesson 4: Angles of Elevation and Depression (pp 544-549)materials correlated to this standard → |
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LESSON | HM.8.8B.Lab. | Ch 8 Section 8B Lab: Indirect Measurement Using Trigonometry (pp 550)materials correlated to this standard → |
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LESSON | HM.8.8B.5. | Ch 8 Section 8B Lesson 5: Law of Sines and Law of Cosines (pp 551-558)materials correlated to this standard → |
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LESSON | HM.8.8B.6. | Ch 8 Section 8B Lesson 6: Vectors (pp 559-567)materials correlated to this standard → |
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CHAPTER | HM.9. | Chapter 9: Extending Perimeter, Circumference, and Area | |||||

SECTION | HM.9.9A. | Ch 9 Section 9A: Developing Geometric Formulas | |||||

LESSON | HM.9.9A.1. | Ch 9 Section 9A Lesson 1: Developing Formulas for Triangles and Quadrilaterals (pp 589-597)materials correlated to this standard → |
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LESSON | HM.9.9A.Lab. | Ch 9 Section 9A Lab: Develop pi (pp 598-599)materials correlated to this standard → |
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LESSON | HM.9.9A.2. | Ch 9 Section 9A Lesson 2: Developing Formulas for Circles and Regular Polygons (pp 600-605)materials correlated to this standard → |
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LESSON | HM.9.9A.3. | Ch 9 Section 9A Lesson 3: Composite Figures (pp 606-612)materials correlated to this standard → |
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SECTION | HM.9.9B. | Ch 9 Section 9B: Applying Geometric Formulas | |||||

LESSON | HM.9.9B.4. | Ch 9 Section 9B Lesson 4: Perimeter and Area in the Coordinate Plane (pp 616-621)materials correlated to this standard → |
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LESSON | HM.9.9B.5. | Ch 9 Section 9B Lesson 5: Effects of Changing Dimensions Proportionally (pp 622-627)materials correlated to this standard → |
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LESSON | HM.9.9B.6. | Ch 9 Section 9B Lesson 6: Geometric Probability (pp 630-636)materials correlated to this standard → |
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LESSON | HM.9.9B.Lab. | Ch 9 Section 9B Lab: Use Geometric Probability to Estimate pi (pp 637)materials correlated to this standard → |
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CHAPTER | HM.10. | Chapter 10: Spatial Reasoning | |||||

SECTION | HM.10.10A. | Ch 10 Section 10A: Three-Dimensional Figures | |||||

LESSON | HM.10.10A.1. | Ch 10 Section 10A Lesson 1: Solid Geometry (pp 654-660)materials correlated to this standard → |
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LESSON | HM.10.10A.2. | Ch 10 Section 10A Lesson 2: Representations of Three-Dimensional Figures (pp 661-668)materials correlated to this standard → |
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LESSON | HM.10.10A.Lab. | Ch 10 Section 10A Lab: Use Nets to Create Polyhedrons (pp 669)materials correlated to this standard → |
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LESSON | HM.10.10A.3. | Ch 10 Section 10A Lesson 3: Formulas in Three Dimensions (pp 670-677)materials correlated to this standard → |
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SECTION | HM.10.10B. | Ch 10 Section 10B: Surface Area and Volume | |||||

LESSON | HM.10.10B.4. | Ch 10 Section 10B Lesson 4: Surface Area of Prisms and Cylinders (pp 680-687)materials correlated to this standard → |
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LESSON | HM.10.10B.Lab1. | Ch 10 Section 10B Lab: Model Right and Oblique Cylinders (pp 688)materials correlated to this standard → |
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LESSON | HM.10.10B.5. | Ch 10 Section 10B Lesson 5: Surface Area of Pyramids and Cones (pp 689-696)materials correlated to this standard → |
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LESSON | HM.10.10B.6. | Ch 10 Section 10B Lesson 6: Volume of Prisms and Cylinders (pp 697-704)materials correlated to this standard → |
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LESSON | HM.10.10B.7. | Ch 10 Section 10B Lesson 7: Volume of Pyramids and Cones (pp 705-712)materials correlated to this standard → |
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LESSON | HM.10.10B.8. | Ch 10 Section 10B Lesson 8: Spheres (pp 714-721)materials correlated to this standard → |
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LESSON | HM.10.10B.Lab2. | Ch 10 Section 10B Lab: Compare Surface Areas and Volumes (pp 722-723)materials correlated to this standard → |
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CHAPTER | HM.11. | Chapter 11: Circles | |||||

SECTION | HM.11.11A. | Ch 11 Section 11A: Lines and Arcs in Circles | |||||

LESSON | HM.11.11A.1. | Ch 11 Section 11A Lesson 1: Lines That Intersect Circles (pp 746-754)materials correlated to this standard → |
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LESSON | HM.11.11A.2. | Ch 11 Section 11A Lesson 2: Arcs and Chords (pp 756-763)materials correlated to this standard → |
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LESSON | HM.11.11A.3. | Ch 11 Section 11A Lesson 3: Sector Area and Arc Length (pp 764-769)materials correlated to this standard → |
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SECTION | HM.11.11B. | Ch 11 Section 11B: Angles and Segments in Circles | |||||

LESSON | HM.11.11B.4. | Ch 11 Section 11B Lesson 4: Inscribed Angles (pp 772-779)materials correlated to this standard → |
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LESSON | HM.11.11B.Lab1. | Ch 11 Section 11B Lab: Explore Angle Relationships in Circles (pp 780-781)materials correlated to this standard → |
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LESSON | HM.11.11B.5. | Ch 11 Section 11B Lesson 5: Angle Relationships in Circles (pp 782-789)materials correlated to this standard → |
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LESSON | HM.11.11B.Lab2. | Ch 11 Section 11B Lab: Explore Segment Relationships in Circles (pp 790-791)materials correlated to this standard → |
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LESSON | HM.11.11B.6. | Ch 11 Section 11B Lesson 6: Segment Relationships in Circles (pp 792-798)materials correlated to this standard → |
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LESSON | HM.11.11B.7. | Ch 11 Section 11B Lesson 7: Circles in the Coordinate Plane (pp 799-805)materials correlated to this standard → |
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CHAPTER | HM.12. | Chapter 12: Extending Transformational Geometry | |||||

SECTION | HM.12.12A. | Ch 12 Section 12A: Congruence Transformations | |||||

LESSON | HM.12.12A.1. | Ch 12 Section 12A Lesson 1: Reflections (pp 824-830)materials correlated to this standard → |
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LESSON | HM.12.12A.2. | Ch 12 Section 12A Lesson 2: Translations (pp 831-837)materials correlated to this standard → |
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LESSON | HM.12.12A.3. | Ch 12 Section 12A Lesson 3: Rotations (pp 839-845)materials correlated to this standard → |
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LESSON | HM.12.12A.Lab. | Ch 12 Section 12A Lab: Explore Transformations with Matrices (pp 846-847)materials correlated to this standard → |
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LESSON | HM.12.12A.4. | Ch 12 Section 12A Lesson 4: Compositions of Transformations (pp 848-853)materials correlated to this standard → |
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SECTION | HM.12.12B. | Ch 12 Section 12B: Patterns | |||||

LESSON | HM.12.12B.5. | Ch 12 Section 12B Lesson 5: Symmetry (pp 856-862)materials correlated to this standard → |
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LESSON | 12.12B.EXT. | Ch 12 Section 12BEXT: Solids of Revolution (pp 863-864)materials correlated to this standard → |
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LESSON | HM.12.12B.6. | Ch 12 Section 12B Lesson 6: Tessellations (pp 865-871)materials correlated to this standard → |
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LESSON | HM.12.12B.7. | Ch 12 Section 12B Lesson 7: Dilations (pp 872-879)materials correlated to this standard → |