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: A ratio is 2:5. We want to make it bigger using a scale factor of 3. Multiply both by 3: 2 x 3 = 6 and 5 x 3 = 15. So 2:5 and 6:15 are equivalent ratios.

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

   Show your work
2. 2

   Warm restartA printer prints 30 pages every minute. How many pages does it print in 4 minutes?

   1. A120 pages
   2. B34 pages
   3. C7.5 pages
   4. D30 pages
3. 3

   Warm restartA faucet fills 3 gallons every 2 minutes. How long does it take to fill 18 gallons?

   1. A12 minutes
   2. B9 minutes
   3. C6 minutes
   4. D36 minutes
4. 4

   Warm restartA recipe uses 3 cups of flour for 12 muffins. How much flour is needed for 20 muffins?

   1. A5 cups
   2. B6 cups
   3. C4 cups
   4. D2.4 cups

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 scale factor from 3 cups of yogurt to 15 cups?

   1. A5
   2. B12
   3. C45
   4. D3

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughHow many cups of strawberries are needed?

   1. A10
   2. B12
   3. C15
   4. D5

   How do you know?

   I chose ___ because ___ .
3. 7

   Think it throughWhy must both ingredients be multiplied by the same factor?

   1. ASo the ratio stays 2:3 and the smoothie tastes the same
   2. BBecause 2 and 3 are both small numbers
   3. CBecause addition would be harder
   4. DSo the total is a whole number

   Explain your thinking.

   I chose ___ because ___ .
4. 8

   Back to the modelHow did you find the missing values in Chef Montoya's table? How can you PROVE two of your rows are equivalent ratios?

   I multiplied ___ and ___ by the same number, ___, so the ratio ___ is equivalent to 3:2.

Use the words

Fill each blank with a word from the bank.

• Ratios that compare quantities in the same relationship are ___ ___.
• A comparison of two quantities is a ___.
• A ratio that compares two quantities with different units, like miles per hour, is a ___.
• An equation showing that two ratios are equal is a ___.

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 Equivalent Ratios is ADDING the scale factor to one part instead of MULTIPLYING both parts by it.
2. 10

   Say moreLooking at the tomatoes-to-broth table (3:2, 6:4, 9:6, 12:8), how can you PROVE these ratios are all equivalent?

   These ratios are equivalent because each is ___ times ___.
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 3.8. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowQuick check — you've got this: A store sells 5 notebooks for $8. At this rate, how much would 15 notebooks cost?

   1. A$24
   2. B$18
   3. C$20
   4. D$40

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 3.8Quick check — you've got this: A car travels 195 miles on 6 gallons of gas. What is the unit rate in miles per gallon?

   1. A32.5 miles per gallon
   2. B33 miles per gallon
   3. C30 miles per gallon
   4. D1,170 miles per gallon
3. 14

   From Lesson 3.8Which printer is faster, and how long for 600 tickets?

   1. APrinter A, 20 minutes
   2. BPrinter B, 24 minutes
   3. CPrinter B, 20 minutes
   4. DPrinter A, 24 minutes

Be honest — this tells your teacher what to do next