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 do one together — a whole number divided by a fraction: Let's try 2 ÷ 1/3. The question it asks is: how many 1/3-size pieces fit into 2 wholes? How many thirds are in 1 whole? Three. We have 2 wholes, so 2 × 3 = 6. That means 2 ÷ 1/3 = 6. The answer is bigger than the 2 we started with, because each piece is smaller than one whole.

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

   Show your work
2. 2

   Warm restartWhat is 4.8 ÷ 2?

   1. A2.4
   2. B24
   3. C0.24
   4. D2.6
3. 3

   Warm restartWhat is 8.4 ÷ 0.7?

   1. A1.2
   2. B120
   3. C12
   4. D0.12
4. 4

   Warm restartWhat is 14.4 ÷ 1.2?

   1. A1.2
   2. B12
   3. C120
   4. D0.12

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 through6 ÷ 1/3 = ?

   1. A2
   2. B18
   3. C6
   4. D3

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughWhy is the answer bigger than 6?

   1. ABecause the pieces are smaller than a whole yard, so many of them fit
   2. BBecause dividing always makes numbers bigger
   3. CBecause 1/3 is negative
   4. DBecause 6 × 3 is multiplication, not division

   How do you know?

   I chose ___ because ___ .
3. 7

   Think it throughIf each section were 1/2 yard instead, how many sections?

   1. A3
   2. B12
   3. C18
   4. D24

   Explain your thinking.

   I chose ___ because ___ .
4. 8

   Back to the modelWhy does dividing by a unit fraction always give a number larger than the dividend?

   Dividing by 1/3 means finding how many ___ fit into ___, so the quotient is ___ than the dividend.

Use the words

Fill each blank with a word from the bank.

• Dividing asks how many groups of one ___ fit inside another amount.
• In 6 ÷ 1/2, the number 6 being divided is the ___.
• In 6 ÷ 1/2, the number 1/2 we divide by is the ___.
• The answer to a division problem is the ___.

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 Interpret Division of Fractions is assuming that dividing always makes the answer smaller.
2. 10

   Say moreWhat does 3 ÷ 1/4 actually mean? Show your partner with the bar model.

   Dividing 3 by 1/4 means finding how many ___ fit into ___.
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 5.10. 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 does 5 ÷ 1/4 mean, and what is the quotient?

   1. AHow many 1/4-size pieces fit into 5; quotient is 20
   2. B5 groups of 1/4; quotient is 5/4
   3. C1/4 of 5; quotient is 5/4
   4. D5 minus 1/4; quotient is 4 3/4

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 5.10Quick check — you've got this: A rectangular prism has l = 7 ft, w = 2 ft, h = 3 ft. What is the volume?

   1. A42 ft³
   2. B24 ft³
   3. C42 ft²
   4. D12 ft³
3. 14

   From Lesson 5.10Why divide by 231 instead of multiplying?

   1. ABecause you are finding how many 231-in³ gallons fit inside the tank
   2. BBecause dividing always makes numbers smaller
   3. CBecause 231 is bigger than 24
   4. DBecause gallons are bigger than inches

Be honest — this tells your teacher what to do next