Start here

You did these with your group. Now do them on your own — the model above is yours to copy.

1. 1

   Same stepsFinish what the group started. Use the model above, step for step.

   Let's try together: Let's find the LCM of 3 and 5. What are the multiples of 3? (3, 6, 9, 12, 15.) What are the multiples of 5? (5, 10, 15.) What is the first number in both lists? (15.) So the LCM of 3 and 5 is 15.

   My first step is ___ , because the problem asks for ___ .

   Show your work
2. 2

   Warm restartA board 6 feet long is cut into pieces 3/4 foot long. How many pieces are there?

   1. A8 pieces
   2. B4 1/2 pieces
   3. C2 pieces
   4. D24 pieces
3. 3

   Warm restartA recipe needs 2/3 cup of oats per serving. How many servings can be made from 4 cups?

   1. A6 servings
   2. B2 2/3 servings
   3. C8 servings
   4. D1 1/2 servings
4. 4

   Warm restartA runner covers 2 1/2 miles in 1/2 hour. What is the speed in miles per hour?

   1. A5 miles per hour
   2. B1 1/4 miles per hour
   3. C2 miles per hour
   4. D3 miles per hour

You answered these out loud. Now write them.

Answer, then say how you know — the reason is the part that counts.

1. 5

   Think it throughWhat is the LCM of 8 and 6?

   1. A12
   2. B24
   3. C48
   4. D14

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughHow many packs of hot dogs do you buy?

   1. A2
   2. B3
   3. C4
   4. D6

   How do you know?

   I chose ___ because ___ .
3. 7

   Think it throughHow many packs of buns do you buy?

   1. A3
   2. B4
   3. C5
   4. D6

   Explain your thinking.

   I chose ___ because ___ .
4. 8

   Back to the modelWhat is the least common multiple of 4 and 6? How did sorting the multiples help you find it?

   The LCM of 4 and 6 is ___ because it is the smallest number in the ___ group.

Use the words

Fill each blank with a word from the bank.

• The smallest number that is a multiple of both is their ___ ___ ___.
• The product of a number and any whole number is a ___ of that number.
• A multiple that two or more numbers share is a ___ multiple.
• Counting forward by a number other than 1, like 6, 12, 18, is called ___.

Explain the thinking

1. 9

   Find the mistakeAnother student made this exact mistake in this lesson. Explain why it is wrong, then write what they should have done.

   The mistake: A common mistake in Least Common Multiple is multiplying the two numbers together instead of listing multiples to find the smallest shared one.
2. 10

   Say moreYou skip counted the multiples of 4 and 6. How did you find the least common multiple from your lists?

   The multiples of 4 are ___ and the multiples of 6 are ___.
3. 11

   Change one numberGo back to Part 1 and pick one problem you already solved. Change one number in it, then solve your new version. Show every step.

   If ___ changed to ___ , then ___ .

   Show your work

Last check

These two come from Lesson 6.11. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowQuick check — you've got this: What is the LCM of 9 and 12?

   1. A36
   2. B108
   3. C3
   4. D72

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 6.11Quick check — you've got this: A pipe is 3/4 meter long. Each connector piece is 3/8 meter. How many connectors fit on the pipe?

   1. A2
   2. B9/32
   3. C3/2
   4. D6
3. 14

   From Lesson 6.11Is 10 tests a reasonable answer?

   1. AYes — each test uses far less than the total, so the answer should be well above 1
   2. BNo — the answer should be less than 1
   3. CNo — you cannot divide fractions
   4. DYes — because 10 is a round number

Be honest — this tells your teacher what to do next