Start here

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 booth charges $4 for 8 games. What do we divide? We divide cost by games: $4 ÷ 8 = ? What is the unit price, the cost for just 1 game? ($0.50 per game.)

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

   Show your work
2. 2

   Warm restartA bag holds 4 red marbles and 6 blue marbles. Write the ratio of red marbles to blue marbles in simplest form.

   1. A2:3
   2. B3:2
   3. C4:10
   4. D10
3. 3

   Warm restartWhat does the ratio 3:1 mean in words?

   1. AFor every 3 of the first amount there is 1 of the second
   2. BThe first amount is 3 more than the second
   3. CThere are 4 things altogether
   4. DThe two amounts are equal
4. 4

   Warm restartA bowl holds 4 apples and 6 oranges. What is the ratio of apples to the TOTAL pieces of fruit?

   1. A4:10
   2. B4:6
   3. C10:4
   4. D6:10

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 the unit rate for the small bag?

   1. A$0.75 per cup
   2. B$0.70 per cup
   3. C$1.33 per cup
   4. D$2.25 per cup

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughWhat is the unit rate for the large bag?

   1. A$0.70 per cup
   2. B$0.75 per cup
   3. C$1.43 per cup
   4. D$5.60 per cup

   How do you know?

   I chose ___ because ___ .
3. 7

   Think it throughWhich 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

   Explain your thinking.

   I chose ___ because ___ .
4. 8

   Back to the modelHow does finding the unit rate help you compare the booths?

   The best deal is Booth ___ because its unit rate of ___ per game is the ___.

Use the words

Fill each blank with a word from the bank.

• A rate compares different units; a ___ ___ compares a quantity to exactly 1 unit.
• A ratio that compares two quantities with different units is a ___.
• A rate that tells the cost or amount for one unit is a ___.
• The word that means 'for each one' is ___.

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 Rates and Unit Rates is comparing total costs instead of unit rates: a student sees Pack X at $4.
2. 10

   Say moreHow did you find the cost per game (the unit rate) for each booth, and what did you divide?

   The unit rate is ___ per one ___.
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 3.1. 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 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

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 3.1Quick 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
3. 14

   From Lesson 3.1With 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

Be honest — this tells your teacher what to do next