SECTION | KH.1. | Section 1: Mathematical Reasoning | |||||
LESSON | KH.1.1. | Section 1 Lesson 1: Inductive Reasoning | |||||
PROBLEM | KH.1.1.1. | Section 1 Lesson 1 Problem 1: Looking for Patterns (pp 2) | |||||
PROBLEM | KH.1.1.2. | Section 1 Lesson 1 Problem 2: Patterns in Pascal’s Triangle. (pp 2-4) |
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PROBLEM | KH.1.1.3. | Section 1 Lesson 1 Problem 3: Patterns with Intersecting Lines (pp 5) | |||||
PROBLEM | KH.1.1.4. | Section 1 Lesson 1 Problem 4: Kendra’s Pattern. (pp 5-6) |
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PROBLEM | KH.1.1.5. | Section 1 Lesson 1 Problem 5: Your Turn! (pp 7) |
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PROBLEM | KH.1.1.6. | Section 1 Lesson 1 Problem 6: Arithmetic and Geometric Sequences (pp 7) |
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PROBLEM | KH.1.1.OYO. | Section 1 Lesson 1 On Your Own (pp 9-12) |
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LESSON | kH.1.2. | Section 1 Lesson 2: One Schoolboy’s Discovery | |||||
PROBLEM | KH.1.2.1. | Section 1 Lesson 2 Problem 1: At School with Carl Gauss (pp 13-15) |
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PROBLEM | KH.1.2.2. | Section 1 Lesson 2 Problem 2: Triangular Numbers (pp 14-16) |
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PROBLEM | KH.1.2.OYO. | Section 1 Lesson 2 On Your Own (pp 17-21) |
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LESSON | KH.1.3. | Section 1 Lesson 3: Take Caution with Inductive Reasoning | |||||
PROBLEM | KH.1.3.1. | Section 1 Lesson 3 Problem 1: Multiple Patterns. (pp 23) |
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PROBLEM | KH.1.3.2. | Section 1 Lesson 3 Problem 2: Patterns that Don’t Continue (pp 23-24) | |||||
PROBLEM | KH.1.3.3. | Section 1 Lesson 3 Problem 3: A Magic Trick. (pp 24) | |||||
PROBLEM | KH.1.3.OYO. | Section 1 Lesson 3 On Your Own (pp 26-27) | |||||
LESSON | KH.1.4. | Section 1 Lesson 4: Deductive Reasoning | |||||
PROBLEM | KH.1.4.1. | Section 1 Lesson 4 Problem 1: The Process of Elimination (pp 29-30) |
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PROBLEM | KH.1.4.2. | Section 1 Lesson 4 Problem 2: Figure It Out! (pp 30-32) |
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PROBLEM | KH.1.4.OYO. | Section 1 Lesson 4 On Your Own (pp 33-36) |
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LESSON | KH.1.5. | Section 1 Lesson 5: That’s Logical! | |||||
PROBLEM | KH.1.5.1. | Section 1 Lesson 5 Problem 1: Thinking Logically. (pp 37-38) |
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PROBLEM | KH.1.5.2. | Section 1 Lesson 5 Problem 2: Mathematical Proof (pp 38-40) |
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PROBLEM | KH.1.5.OYO | Section 1 Lesson 5 On Your Own (pp 42-44) |
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SECTION | KH.2. | Section 2: The Pythagorean Theorem | |||||
LESSON | KH.2.1. | Section 2 Lesson 1: Surveying with Right Triangles | |||||
PROBLEM | KH.2.1.1. | Section 2 Lesson 1 Problem 1: The Palermo Stone (pp 52-53) | |||||
PROBLEM | KH.2.1.2. | Section 2 Lesson 1 Problem 2: The Royal Society of Harpedonapata (pp 52-55) |
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PROBLEM | KH.2.1.OYO. | Section 2 Lesson 1 On Your Own (pp 56-57) |
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LESSON | KH.2.2. | Section 2 Lesson 2: Patterns and Pythagoras | |||||
PROBLEM | KH.2.2.1. | Section 2 Lesson 2 Problem 1: From the Egyptians to Pythagoras (pp 58-59) | |||||
PROBLEM | KH.2.2.2. | Section 2 Lesson 2 Problem 2: Exploring Right Triangles (pp 59-62) |
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PROBLEM | KH.2.2.OYO. | Section 2 Lesson 2 On Your Own (pp 63-65) |
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LESSON | KH.2.3. | Section 2 Lesson 3: Proving the Discovery | |||||
PROBLEM | KH.2.3.1. | Section 2 Lesson 3 Problem 1: Same Tiles, New Look (pp 66-67) |
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PROBLEM | KH.2.3.2. | Section 2 Lesson 3 Problem 2: Mathematical Theorems (pp 67) |
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PROBLEM | KH.2.3.3. | Section 2 Lesson 3 Problem 3: Proving the Pythagorean Theorem (pp 67-70) |
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PROBLEM | KH.2.3.OYO. | Section 2 Lesson 3 On Your Own (pp 71-73) |
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SECTION | KH.3. | Section 3: Using the Pythagorean Theorem | |||||
LESSON | KH.3.1. | Section 3 Lesson 1: Squares and Square Roots | |||||
PROBLEM | KH.3.1.1. | Section 3 Lesson 1 Problem 1: Inverse Operations (pp 77-79) | |||||
PROBLEM | KH.3.1.2. | Section 3 Lesson 1 Problem 2: Square Roots and the Pythagorean Theorem. (pp 79-80) |
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PROBLEM | KH.3.1.3. | Section 3 Lesson 1 Problem 3: Building with the Pythagorean Theorem. (pp 80-81) |
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PROBLEM | KH.3.1.4. | Section 3 Lesson 1 Problem 4: The Converse of the Pythagorean Theorem. (pp 81-82) |
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PROBLEM | KH.3.1.OYO. | Section 3 Lesson 1 On Your Own (pp 83-87) |
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LESSON | KH.3.2. | Section 3 Lesson 2: The Real World and Messy Numbers | |||||
PROBLEM | KH.3.2.1. | Section 3 Lesson 2 Problem 1: Perfect Squares Are Not So Perfect. (pp 88-89) |
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PROBLEM | KH.3.2.2. | Section 3 Lesson 2 Problem 2: Meet the Pythagoreans (pp 89-90) |
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PROBLEM | KH.3.2.3. | Section 3 Lesson 2 Problem 3: Approximating the Square Root of 2 (pp 90-91) |
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PROBLEM | KH.3.2.4. | Section 3 Lesson 2 Problem 4: Irrational Numbers (pp 91) |
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PROBLEM | KH.3.2.5. | Section 3 Lesson 2 Problem 5: Square Roots and Irrational Numbers (pp 92) |
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PROBLEM | KH.3.2.6. | Section 3 Lesson 2 Problem 6: Making Squares on the Geoboard (pp 92-93) |
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PROBLEM | KH.3.2.OYO. | Section 3 Lesson 2 On Your Own (pp 94-98) |
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LESSON | KH.3.3. | Section 3 Lesson 3: Going the Distance. | |||||
PROBLEM | KH.3.3.1. | Section 3 Lesson 3 Problem 1: Find My Shape (pp 100) |
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PROBLEM | KH.3.3.2. | Section 3 Lesson 3 Problem 2: Planning a New Community (pp 101-102) |
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PROBLEM | KH.3.3.3. | Section 3 Lesson 3 Problem 3: Shapes on the Coordinate Grid (pp 101-103) |
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PROBLEM | KH.3.3.OYO. | Section 3 Lesson 3 On Your Own (pp 104-107) |