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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 try together: A bowl has 4 apples and 1 orange. What two amounts are we comparing? We write apples to oranges in order: 4 to 1, or 4:1. Now draw it: 4 equal parts for apples beside 1 part for oranges, 5 parts of fruit in all. So apples to total fruit is 4 to 5.

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

   Show your work
2. 2

   Warm restartWhat is the reciprocal of 3/4?

   1. A4/3
   2. B3/4
   3. C1/4
   4. D7/4
3. 3

   Warm restartWhat is 4 ÷ 1/2?

   1. A8
   2. B2
   3. C4 1/2
   4. D1/8
4. 4

   Warm restartWhat is 3/4 ÷ 1/2?

   1. A3/8
   2. B1 1/2
   3. C2/3
   4. D1/2

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 throughKeeping the 3:2 ratio, how many main dishes go with 10 side dishes?

   1. A15
   2. B12
   3. C5
   4. D20

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughWhat kind of ratio is 3 mains to 2 sides?

   1. APart-to-part, because it compares two separate groups
   2. BPart-to-whole, because it compares mains to all dishes
   3. CA rate, because it uses different units
   4. DNot a ratio at all

   How do you know?

   I chose ___ because ___ .
3. 7

   Think it throughWith 15 mains and 10 sides, what is the ratio of mains to TOTAL dishes?

   1. A3 to 5
   2. B3 to 2
   3. C15 to 10
   4. D2 to 5

   Explain your thinking.

   I chose ___ because ___ .
4. 8

   Back to the modelWhat makes something a ratio? How did you decide which statements to sort into each group?

   A ratio compares ___ to ___ using words like ___ or symbols like ___.

Use the words

Fill each blank with a word from the bank.

• A comparison of two quantities by division is a ___.
• A comparison of two quantities, like 3 to 5, is a ___.
• Showing how two amounts relate to each other is a ___.
• A ratio that compares one part of a group to another part is a ___ ratio.

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 Understand Ratios is writing the ratio in the wrong order: when asked for the ratio of apple juice to sparkling water in a recipe that uses 3 cups of apple juice for every 2 cups of sparkling water, some students write 2:3 (sparkling water to apple juice) because they list the ingredients in whatever order comes to mind rather than the order the question asks for.
2. 10

   Say moreWhen you sorted the board statements, what made something a ratio instead of NOT a ratio (like '12 cookies on the tray')?

   This is a ratio because it compares ___ to ___.
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 2.12. 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 bag of trail mix contains 8 peanuts and 5 raisins. What is the ratio of raisins to total pieces?

   1. A5:13
   2. B8:5
   3. C5:8
   4. D13:5

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 2.12Quick check — you've got this: What is 4.6 × 2.3?

   1. A10.58
   2. B105.8
   3. C1.058
   4. D10.48
3. 14

   From Lesson 2.12A student answered $238.00. What went wrong?

   1. AThey put the decimal point in the wrong place
   2. BThey added instead of multiplying
   3. CThey rounded too early
   4. DThey used the wrong price

Be honest — this tells your teacher what to do next