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Bagging Snacks: Choose Common Multiples or Common Factors

Focus Question: How can you decide when finding common factors is useful in solving a problem? How can you find the GCF of two numbers?

Do Now Use the terms factor, divisor, multiple, product, and divisible by to write as many statements as you can about the number sentence

7 x 9 = 63

Let’s Put Our Thinking Caps On Seven students are going on a trip. Sarah is in charge of buying snacks for the trip. Each person wants two health bars and a juice drink. How many should she buy of each?

BAGGING SNACKS - PAGE 33 1) What are the possible numbers of snack packs she can make so that the treats are shared equally? Describe each possibility.

36 bags of trail mix 24 apples

Would we find the GCF or LCM to help us solve this problem?

24 – 24, 28, 72, 96 36 – 36, 72 LCM = 72

Would we find the GCF or LCM to help us solve this problem?

24 – 1, 2, 3, 4, 6, 8, 12, 24 36 – 1, 2, 3, 4, 6, 9, 12, 18, 36 Common Factors = 1, 2, 3, 4, 6, and 12

24 A 36 T

8A 12 T

12 A 18 T

12 A 18 T

8A 12 T

8A 12 T

6A 9T

6A 9T

6A 9T

6A 9T

4A 6T

4A 6T

4A 6T

4A 6T

5A 6T

4A 6T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2) What is the greatest number of snack packs Jane can make? Explain.

3) Suppose Jane’s pet canary ruins six of the bags of trail mix. Jane wants to share the apples and the remaining bags of trail mix equally. What is the greatest number of snack packs Jane can make?

4) Suppose Jane’s mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain.

5) The cast of a play had a party. The drama teacher served 20 cookies & 40 carrot sticks as refreshments. Each cast member ate the same number of whole cookies and the same number of whole carrot sticks. Nothing was left over. The drama teacher did not eat. How many cast members might have been at the party? Explain.

CLASSWORK Working in assigned groups, students will use chart paper to complete their given task.

HOMEWORK Journal Entry #2 a) Describe how you can find the common factors and the greatest common factor of two numbers. b) What information does the greatest common factor of two numbers provide in a problem.

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Focus Question: How can you decide when finding common factors is useful in solving a problem? How can you find the GCF of two numbers?

Do Now Use the terms factor, divisor, multiple, product, and divisible by to write as many statements as you can about the number sentence

7 x 9 = 63

Let’s Put Our Thinking Caps On Seven students are going on a trip. Sarah is in charge of buying snacks for the trip. Each person wants two health bars and a juice drink. How many should she buy of each?

BAGGING SNACKS - PAGE 33 1) What are the possible numbers of snack packs she can make so that the treats are shared equally? Describe each possibility.

36 bags of trail mix 24 apples

Would we find the GCF or LCM to help us solve this problem?

24 – 24, 28, 72, 96 36 – 36, 72 LCM = 72

Would we find the GCF or LCM to help us solve this problem?

24 – 1, 2, 3, 4, 6, 8, 12, 24 36 – 1, 2, 3, 4, 6, 9, 12, 18, 36 Common Factors = 1, 2, 3, 4, 6, and 12

24 A 36 T

8A 12 T

12 A 18 T

12 A 18 T

8A 12 T

8A 12 T

6A 9T

6A 9T

6A 9T

6A 9T

4A 6T

4A 6T

4A 6T

4A 6T

5A 6T

4A 6T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2A 3T

2) What is the greatest number of snack packs Jane can make? Explain.

3) Suppose Jane’s pet canary ruins six of the bags of trail mix. Jane wants to share the apples and the remaining bags of trail mix equally. What is the greatest number of snack packs Jane can make?

4) Suppose Jane’s mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain.

5) The cast of a play had a party. The drama teacher served 20 cookies & 40 carrot sticks as refreshments. Each cast member ate the same number of whole cookies and the same number of whole carrot sticks. Nothing was left over. The drama teacher did not eat. How many cast members might have been at the party? Explain.

CLASSWORK Working in assigned groups, students will use chart paper to complete their given task.

HOMEWORK Journal Entry #2 a) Describe how you can find the common factors and the greatest common factor of two numbers. b) What information does the greatest common factor of two numbers provide in a problem.

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