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Lesson 17

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Lesson 17:Divisibility Tests for 3 and 9
Classwork
Opening Exercis...
Lesson 17

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Discussion


Divisibility rule for :



Divisibility rule for :
...
NYS COMMON CORE MATHEMATICS CURRICULUM

Lesson 17

6•2

Example 2
Is

divisible by

or ? Why or why not?

Exercises
Circle...
NYS COMMON CORE MATHEMATICS CURRICULUM

3.

Is

Lesson 17

6•2

divisible by

Explain your reasoning for your choices.

4....
Lesson 17

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Lesson Summary
To determine if a number is divisible by

or :



...
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G6 m2-d-lesson 17-s

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G6 m2-d-lesson 17-s

  1. 1. Lesson 17 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Lesson 17:Divisibility Tests for 3 and 9 Classwork Opening Exercise Below is a list of numbers. Place each number in the circle(s) that is a factor of the number. You will place some numbers more than once. For example if were on the list, you would place it in the circles with , , and because they are all factors of . ; ; 2 ; ; ; ; ; ; ; 5 4 8 Lesson 17: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org 10 Divisibility Tests for 3 and 9 1/13/14 S.69 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 69
  2. 2. Lesson 17 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Discussion  Divisibility rule for :  Divisibility rule for :  Divisibility rules for :  Divisibility rule for :  Divisibility rule for : Example 1 This example will show you how to apply the two new divisibility rules we just discussed. Is divisible by or ? Why or why not? a. What are the three digits in the number b. What is the sum of the three digits? c. Is d. Is the entire number e. Is the number ? divisible by ? divisible by ? Why or why not? divisible by ? Why or why not? Lesson 17: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Divisibility Tests for 3 and 9 1/13/14 S.70 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 70
  3. 3. NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 17 6•2 Example 2 Is divisible by or ? Why or why not? Exercises Circle ALL the numbers that are factors of the given number. Complete any necessary work in the space provided. 1. Is divisible by Explain your reasoning for your choices. 2. Is divisible by Explain your reasoning for your choices. Lesson 17: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Divisibility Tests for 3 and 9 1/13/14 S.71 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 71
  4. 4. NYS COMMON CORE MATHEMATICS CURRICULUM 3. Is Lesson 17 6•2 divisible by Explain your reasoning for your choices. 4. Is divisible by Explain your reasoning for your choices. 5. Is divisible by Explain your reasoning for your choices. Lesson 17: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Divisibility Tests for 3 and 9 1/13/14 S.72 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 72
  5. 5. Lesson 17 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Lesson Summary To determine if a number is divisible by or :  Calculate the sum of the digits.  If the sum of the digits is divisible by , the entire number is divisible by .  If the sum of the digits is divisible by , the entire number is divisible by . Note: If a number is divisible by , the number is also divisible by . Problem Set 1. Is divisible by both and ? Why or why not? 2. Circle all the factors of from the list below. 3. Circle all the factors of from the list below. 4. Write a digit number that is divisible by both and . and . Explain how you know this number is divisible by 5. Write a digit number that is divisible by both and . and . Explain how you know this number is divisible by Lesson 17: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Divisibility Tests for 3 and 9 1/13/14 S.73 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 73

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