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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: Diamond wants to drink 4 liters of water. Her bottle is marked in milliliters. The conversion factor is 1,000 mL : 1 L. On a double number line, every 1 liter above matches 1,000 milliliters below. Milliliters are smaller, so multiply: 4 × 1,000 = 4,000. So 4 liters = 4,000 milliliters. Her bottle holds 500 milliliters. How many fills? Solve ? × 500 = 4,000. Since 8 × 500 = 4,000, she fills the bottle 8 times.

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

   Show your work
2. 2

   Warm restartRecipe A uses 2 lemons for 4 cups of water. Recipe B uses 3 lemons for 4 cups of water. Which recipe is more lemony?

   1. ARecipe B
   2. BRecipe A
   3. CThey are the same
   4. DYou cannot tell
3. 3

   Warm restartWhich ratio is greater: 3:4 or 5:8?

   1. A5:8
   2. B3:4
   3. CThey are equal
   4. DCannot determine
4. 4

   Warm restartChef A uses 2 cups of cheese for every 8 crackers. Chef B uses 3 cups of cheese for every 9 crackers. Who uses more cheese per cracker?

   1. AChef A
   2. BThey use the same amount
   3. CCannot determine
   4. DChef B

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 throughHow many inches are in 4 feet?

   1. A48 inches
   2. B16 inches
   3. C3 inches
   4. D44 inches

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughA bottle holds 500 milliliters. How many bottles make 4 liters?

   1. A8
   2. B4
   3. C500
   4. D2,000

   How do you know?

   I chose ___ because ___ .
3. 7

   Think it throughYou convert 96 ounces to pounds (16 ounces = 1 pound). Should the number get bigger or smaller?

   1. ASmaller, because pounds are the larger unit
   2. BBigger, because 96 is already large
   3. CIt stays the same
   4. DYou cannot tell without the ratio table

   Explain your thinking.

   I chose ___ because ___ .
4. 8

   Back to the modelWhy does converting to a smaller unit always make the NUMBER bigger, even though the amount stays exactly the same?

   When the unit gets ___, it takes ___ of them to make the same amount, so I ___.

Sort it again — on paper this time

Write the letter of the group each one belongs in.

• Feet → inches
• Inches → feet
• Liters → milliliters
• Milliliters → liters
• Pounds → ounces
• Ounces → pounds
• Quarts → cups
• Cups → quarts

Use the words

Fill each blank with a word from the bank.

• Feet into inches stays inside the ___ measurement system.
• The ratio that trades one unit for another is a ___ ___.
• A ratio comparing an amount to exactly ___ unit is a unit ratio.
• To change a measurement to another unit without changing the amount is to ___.

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 when converting within a measurement system is choosing the operation by habit instead of by unit size — multiplying every time.
2. 10

   Say moreYou sorted ratio pairs into equivalent and not equivalent. How does ratio reasoning, like cross-multiplying, prove that 4:7 and 12:21 are equivalent?

   I reasoned that 4:7 and 12:21 are ___ because ___.
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 3.5. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowQuick check — you've got this: There are 4 cups in 1 quart. A soup recipe calls for 5 quarts of broth. How many cups is that, and why?

   1. A20 cups, because cups are smaller so I multiply: 5 × 4
   2. B1.25 cups, because I divide 5 by 4
   3. C9 cups, because I add 5 + 4
   4. D5 cups, because the amount does not change

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 3.5Quick 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 second bakery
   2. BThe first bakery
   3. CSame price
   4. DCannot determine
3. 14

   From Lesson 3.5Which shop is the better deal?

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

Be honest — this tells your teacher what to do next