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KH - Math Innovations Course 3: Prove It c2010
Mathematics - Grade 8

 
  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)
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