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G6 m2-d-lesson 16-s

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  • 1. Lesson 16 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Lesson 16:Even and Odd Numbers Classwork Opening Exercise What is an even number? List some examples of even numbers. What is an odd number? List some examples of odd numbers. What happens when we add two even numbers? Will we always get an even number? Lesson 16: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Even and Odd Numbers 1/10/14 S.64 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 64
  • 2. Lesson 16 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Exercises 1. Why is the sum of two even numbers even? a. b. Circle pairs of dots to determine if any of the dots are left over. c. 2. Think of the problem . Draw dots to represent each number. Will this be true every time two even numbers are added together? Why or why not? Why is the sum of two odd numbers even? a. Think of the problem b. Circle pairs of dots to determine if any of the dots are left over. c. Will this be true every time two odd numbers are added together? Why or why not? Lesson 16: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org . Draw dots to represent each number. Even and Odd Numbers 1/10/14 S.65 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 65
  • 3. Lesson 16 NYS COMMON CORE MATHEMATICS CURRICULUM 3. 6•2 Why is the sum of an even number and an odd number odd? a. Think of the problem . Draw dots to represent each number. b. Circle pairs of dots to determine if any of the dots are left over. c. Will this be true every tie an even number and an odd number are added together? Why or why not? d. What if the first addend was odd and the second was even. Would the sum still be odd? Why or why not? For example, if we had , would the sum be odd? Let’s sum it up:    Lesson 16: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Even and Odd Numbers 1/10/14 S.66 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 66
  • 4. NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 16 6•2 Exploratory Challenge Each group will determine on its poster paper whether one of the following products is odd or even: The product of two even numbers, the product of two odd numbers, or the product of an even number and an odd number. Use previous knowledge about even and odd numbers, the connection between addition and multiplication, and visual methods (e.g., dots) in your proofs. 1. The product of two even numbers is even. 2. The product of two odd numbers is odd. 3. The product of an even number and an odd number is even. Lesson 16: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Even and Odd Numbers 1/10/14 S.67 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 67
  • 5. Lesson 16 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Lesson Summary Adding:  The sum of two even numbers is even.  The sum of two odd numbers is odd.  The sum of an even number and an odd number is odd. Multiplying:  The product of two even numbers is even.  The product of two odd numbers is odd.  The product of an even number and an odd number is even. Problem Set Tell whether each sum or product is even or odd. Explain your reasoning. 1. 2. 3. 4. 5. Lesson 16: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Even and Odd Numbers 1/10/14 S.68 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 68