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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.

   Let's do one together: Store A sells 2 pens for $6. Store B sells 3 pens for $12. Which store has the better deal? What should we find for each store? (The unit rate: the price for 1 pen.) Divide Store A's table by 2. What does 1 pen cost? ($3, because $6 ÷ 2 = $3.) Divide Store B's table by 3. What does 1 pen cost? ($4, because $12 ÷ 3 = $4.) Which store has the better deal? (Store A, because $3 < $4.)

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

   Show your work
2. 2

   Warm restartA ratio table for 3:2 gives the points (3, 2) and (6, 4). Which point also lies on the same graph?

   1. A(2, 3)
   2. B(8, 6)
   3. C(9, 6)
   4. D(9, 5)
3. 3

   Warm restartThe graph of a set of equivalent ratios always passes through which point?

   1. A(0, 0)
   2. B(0, 1)
   3. C(1, 1)
   4. D(1, 0)
4. 4

   Warm restartOn a graph of cups of juice (x) to cups of water (y), the point (4, 10) is plotted. What ratio does that point show?

   1. A4:10
   2. B4:14
   3. C10:4
   4. D14:10

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 Mario's price per pizza?

   1. A$4.50
   2. B$8.33
   3. C$9.00
   4. D$18.00

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughWhat is Sal's price per pizza?

   1. Aabout $7.50
   2. Babout $8.33
   3. Cabout $9.00
   4. Dabout $12.50

   How do you know?

   I chose ___ because ___ .
3. 7

   Think it throughWhich shop is the better deal?

   1. AMario's, because $18 is less than $25
   2. BMario's, because 2 is less than 3
   3. CSal's, because $8.33 per pizza is less than $9.00
   4. DThey cost the same

   Explain your thinking.

   I chose ___ because ___ .
4. 8

   Back to the modelThe two recipes use different amounts, so you cannot compare them directly. How did building equivalent ratios let you compare them fairly?

   I scaled both ratios to the same amount of ___, then compared the ___; Chef ___'s recipe is more chocolatey because ___.

Use the words

Fill each blank with a word from the bank.

• A rate that tells the amount for exactly one unit, like 5 miles per 1 hour, is a ___.
• Two ratios that make the same comparison are ___ ___.
• To decide which ratio is greater or if they are equal is to ___ them.
• Writing a ratio with smaller numbers that compares the same way, like 6:9 = 2:3, is to ___ it.

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 Compare Ratios is thinking the ratio with the bigger raw number automatically wins — like assuming Chef Tran's 8 tablespoons of cocoa must be more chocolatey than Chef Reyes's 6 tablespoons, without checking that the milk amounts (14 oz vs.
2. 10

   Say moreYou scaled both recipes to 35 oz of milk: Chef Reyes became 21:35 and Chef Tran became 20:35. How does scaling to a common denominator let you compare the recipes fairly?

   After scaling to 35 oz, Chef Reyes has ___ tbsp and Chef Tran has ___ tbsp.
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 3.4. 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 bakery sells 4 muffins for $10 and another bakery sells 6 muffins for $14. Which bakery has the lower price per muffin?

   1. AThe first bakery
   2. BSame price
   3. CCannot determine
   4. DThe second bakery

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 3.4Quick check — you've got this: A ratio table shows cups of rice to cups of water: (1, 2), (2, 4), (3, 6). If you plot these points, the line passes through which point?

   1. A(4, 6)
   2. B(5, 10)
   3. C(5, 8)
   4. D(6, 10)
3. 14

   From Lesson 3.4Which point would NOT be on this line?

   1. A(4, 8)
   2. B(5, 12)
   3. C(6, 12)
   4. D(10, 20)

Be honest — this tells your teacher what to do next