Start here

Use the model to solve the first problem. Then try these quick review questions from earlier lessons.

1. 1

   Same stepsFinish what the group started. Use the model above, step for step. 🔊 Listen 💡 Hint

   Let's do one together:

   1. A bowl has 4 apples and 1 orange. Write the ratio of apples to oranges. Then write the ratio of apples to all the fruit.
   2. Read the table. What two amounts are we comparing first? (Apples and oranges.)
   3. Write apples to oranges with a colon. (4:1)
   4. Add to fill the Total row. How many pieces of fruit? (4 + 1 = 5)
   5. Write apples to all the fruit. (4:5)

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

   Show your work
2. 2

   Quick reviewWhat is the reciprocal of 3/4? 🔊 Listen 💡 Hint

   1. A1/4
   2. B3/4
   3. C4/3
   4. D7/4
3. 3

   Quick reviewWhat is 4 ÷ 1/2? 🔊 Listen 💡 Hint

   1. A1/8
   2. B2
   3. C4 1/2
   4. D8
4. 4

   Quick reviewWhat is 3/4 ÷ 1/2? 🔊 Listen 💡 Hint

   1. A1 1/2
   2. B1/2
   3. C2/3
   4. D3/8

Try these on your own

Choose an answer. Then explain how you know.

1. 5

   Think it throughKeeping the 3:2 ratio, how many main dishes go with 10 side dishes? 🔊 Listen 💡 Hint

   1. A5
   2. B12
   3. C15
   4. D20

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughWhat kind of ratio is 3 mains to 2 sides? 🔊 Listen 💡 Hint

   1. APart-to-whole, because it compares mains to all dishes
   2. BA rate, because it uses different units
   3. CPart-to-part, because it compares two separate groups
   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? 🔊 Listen 💡 Hint

   1. A2 to 5
   2. B3 to 5
   3. C3 to 2
   4. D15 to 10

   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? 🔊 Listen 💡 Hint

   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, 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.
• A ratio that compares one part of a group to the total is a ___ ratio.

Explain the thinking

1. 9

   Find the mistakeRead the mistake. Explain what went wrong, then show the correct step. 🔊 Listen 💡 Hint

   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')? 🔊 Listen 💡 Hint

   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. 🔊 Listen 💡 Hint

   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? 🔊 Listen 💡 Hint

   1. A5:13
   2. B5:8
   3. C8:5
   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? 🔊 Listen 💡 Hint

   1. A1.058
   2. B10.48
   3. C10.58
   4. D105.8
3. 14

   From Lesson 2.12A student answered $238.00. What went wrong? 🔊 Listen 💡 Hint

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

Check your progress

Choose the box that best describes how you feel about each skill.