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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.

   Try it together — then prove it: A drink uses 1 cup of juice for every 4 cups of water, so the ratio is 1:4. To double it, what scale factor do we use? We use 2. Multiply both by 2: 1 x 2 = 2 cups of juice and 4 x 2 = 8 cups of water, giving 2:8. Now prove it: say why that move had to work at all — not just that it did.

   Show your work
2. 2

   Warm restart6 pencils cost $3.00. What is the price per pencil?

   1. A$0.50
   2. B$2.00
   3. C$0.60
   4. D$18.00

   How do you know?
3. 3

   Warm restartA rate is a UNIT rate when the second quantity is what number?

   1. A1
   2. B0
   3. Cthe larger number
   4. Dany whole number

   How do you know?
4. 4

   Warm restartA car travels 120 miles on 4 gallons of gas. What is the unit rate in miles per gallon?

   1. A30 miles per gallon
   2. B480 miles per gallon
   3. C24 miles per gallon
   4. D116 miles per gallon

   How do you know?

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 throughOne serving uses 3 scoops of berries and 2 cups of yogurt. How many scoops for 20 servings?

   1. A60
   2. B23
   3. C40
   4. D30

   Why is that the answer?
2. 6

   Think it throughHow many cups of yogurt are needed for 20 servings?

   1. A40
   2. B20
   3. C60
   4. D22

   How do you know? Give a second reason as well.
3. 7

   Think it throughWhich pair is NOT equivalent to 3:2?

   1. A9:6
   2. B6:4
   3. C30:20
   4. D5:4

   Explain your thinking. What would have to change for a different choice to be right?
4. 8

   Back to the modelHow did you find each new row in the pancake ratio table? If someone asked for 10 batches instead of 4, would counting up by adding 2 and 3 each row still be a fast way to find the answer?

Use the words

Fill each blank with a word from the bank.

• A table whose every row holds the same comparison is a ___ ___.
• A table that lists equivalent ratios in rows or columns is a ___.
• Two ratios that make the same comparison are ___ ___.
• The number you multiply a ratio by to get an equivalent ratio 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 Ratio Tables is scaling only ONE part of the ratio, or adding the scale factor to a part instead of multiplying by it — for example, turning 2:3 into 6:3 (multiplying only the first number by 3 and forgetting the second) or into 4:5 (adding the scale factor 2 to the second number instead of multiplying, since 3+2=5 but 3×2=6).
2. 10

   Say moreIn your pancake ratio table, how did you find each new row from the 2:3 starting row?
3. 11

   Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: Brian will use the recipe shown to make clay, and he needs to make several batches. Every batch has to come out with the same consistency.

   Show your work

Last check

These two come from Lesson 3.2. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowExplain your thinking — A salad dressing recipe uses 2 tablespoons of oil for every 5 tablespoons of vinegar. How many tablespoons of oil are needed for 20 tablespoons of vinegar?

   1. A8
   2. B10
   3. C7
   4. D12

   Explain your choice.
2. 13

   From Lesson 3.2Explain your thinking — A store sells 6 pencils for $1.50 and 10 pencils for $2.80. Which is the better buy?

   1. A6 for $1.50 — $0.25 each
   2. B10 for $2.80 — $0.28 each
   3. CThey cost the same per pencil
   4. DNot enough information

   How do you know?
3. 14

   From Lesson 3.2Which size is the better deal, and why?

   1. AThe large bag, because $0.70 per cup is less than $0.75 per cup
   2. BThe small bag, because $2.25 is less than $5.60
   3. CThe small bag, because it has fewer cups
   4. DThey are the same deal

   How do you know?

Be honest — this tells your teacher what to do next