Start here

Use the model to solve the first problem. Then try these quick review questions from earlier lessons.

1. 1

   Same stepsFinish what the group started. Use the model above, step for step. 🔊 Listen 💡 Hint

   Let's do one together:

   1. Find the LCM of 3 and 5.
   2. What are the multiples of 3? (3, 6, 9, 12, 15)
   3. What are the multiples of 5? (5, 10, 15)
   4. What is the first number in both lists? (15)

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

   Show your work
2. 2

   Quick reviewA board 6 feet long is cut into pieces 3/4 foot long. How many pieces are there? 🔊 Listen 💡 Hint

   1. A2 pieces
   2. B4 1/2 pieces
   3. C8 pieces
   4. D24 pieces
3. 3

   Quick reviewA recipe needs 2/3 cup of oats per serving. How many servings can be made from 4 cups? 🔊 Listen 💡 Hint

   1. A1 1/2 servings
   2. B2 2/3 servings
   3. C6 servings
   4. D8 servings
4. 4

   Quick reviewA runner covers 2 1/2 miles in 1/2 hour. What is the speed in miles per hour? 🔊 Listen 💡 Hint

   1. A1 1/4 miles per hour
   2. B2 miles per hour
   3. C3 miles per hour
   4. D5 miles per hour

Try these on your own

Choose an answer. Then explain how you know.

1. 5

   Think it throughWhat is the LCM of 8 and 6? 🔊 Listen 💡 Hint

   1. A12
   2. B14
   3. C24
   4. D48

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughHow many packs of hot dogs do you buy? 🔊 Listen 💡 Hint

   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? 🔊 Listen 💡 Hint

   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? 🔊 Listen 💡 Hint

   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 mistakeRead the mistake. Explain what went wrong, then show the correct step. 🔊 Listen 💡 Hint

   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? 🔊 Listen 💡 Hint

   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. 🔊 Listen 💡 Hint

   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? 🔊 Listen 💡 Hint

   1. A3
   2. B36
   3. C72
   4. D108

   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? 🔊 Listen 💡 Hint

   1. A2
   2. B3/2
   3. C6
   4. D9/32
3. 14

   From Lesson 6.11Is 10 tests a reasonable answer? 🔊 Listen 💡 Hint

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

Check your progress

Choose the box that best describes how you feel about each skill.