NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 16
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: © 2013 Common Core, Inc. Some rights reserved. commoncore.org Even and Odd Numbers
6/6/14 S.64
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NYS COMMON CORE MATHEMATICS CURRICULUM
Exercises 1.
Lesson 16
6•2
Why is the sum of two even numbers even? a.
Think of the problem 12
14. 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 time two even numbers are added together? Why or why not? 2.
Why is the sum of two odd numbers even? a.
Think of the problem 11
15. 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 time two odd numbers are added together? Why or why not? Lesson 16: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org Even and Odd Numbers
6/6/14 S.65
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NYS COMMON CORE MATHEMATICS CURRICULUM
3.
Lesson 16
6•2
Why is the sum of an even number and an odd number odd? a.
Think of the problem 14
11. 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 11 14, would the sum be odd? Let’s sum it up: 


Lesson 16: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org Even and Odd Numbers
6/6/14 S.66
This work is licensed under a Creative Commons Attribution‐NonCommercial‐ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM
Exploratory Challenge Lesson 16
6•2
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: © 2013 Common Core, Inc. Some rights reserved. commoncore.org Even and Odd Numbers
6/6/14 S.67
This work is licensed under a Creative Commons Attribution‐NonCommercial‐ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 16
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.
346
721 2.
4,690
141 3.
1,462,891
745,629 4.
425,922
32,481,064 32
67
5.
45
91
34
56 Lesson 16: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org Even and Odd Numbers
6/6/14 S.68
This work is licensed under a Creative Commons Attribution‐NonCommercial‐ShareAlike 3.0 Unported License.