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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.

   Try it together — then prove it: Arcade Depot sells 350 tokens for $38.50. Fun Supply Co. sells 500 tokens for $60. Which store is the better buy? What is Fun Supply's cost for 1 token? ($0.12) What is Arcade Depot's cost for 1 token? ($0.11) Which store is the better buy? (Arcade Depot, because $0.11 < $0.12.) Why not just compare $38.50 and $60? (The deals have different numbers of tokens. The cost for 1 token makes the comparison fair.)

   Show your work
2. 2

   Warm restartAbout how many pounds is 10 kilograms? (1 kg ≈ 2.2 lb)

   1. Aabout 2.2 pounds
   2. Babout 4.5 pounds
   3. Cabout 12.2 pounds
   4. Dabout 22 pounds

   How do you know?
3. 3

   Warm restartAbout how many centimetres are in 4 inches? (1 in ≈ 2.54 cm)

   1. Aabout 1.6 cm
   2. Babout 6.5 cm
   3. Cabout 10.2 cm
   4. Dabout 25.4 cm

   How do you know?
4. 4

   Warm restartA race is 5 kilometres long. About how many miles is that? (1 mi ≈ 1.6 km)

   1. Aabout 1.6 miles
   2. Babout 3.1 miles
   3. Cabout 5 miles
   4. Dabout 8 miles

   How do you know?

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 Printer A's unit rate?

   1. A5 tickets per minute
   2. B25 tickets per minute
   3. C30 tickets per minute
   4. D150 tickets per minute

   Why is that the answer?
2. 6

   Think it throughWhat is Printer B's unit rate?

   1. A8 tickets per minute
   2. B25 tickets per minute
   3. C30 tickets per minute
   4. D200 tickets per minute

   How do you know? Give a second reason as well.
3. 7

   Think it throughWhich printer is faster, and how long for 600 tickets?

   1. APrinter A, 20 minutes
   2. BPrinter B, 20 minutes
   3. CPrinter B, 24 minutes
   4. DPrinter A, 24 minutes

   Explain your thinking. What would have to change for a different choice to be right?
4. 8

   Back to the modelHow do you use unit rates to determine the better buy?

Use the words

Fill each blank with a word from the bank.

• A rate that gives the amount for exactly one unit is a ___.
• The option that costs less per item, found by comparing unit rates, is the ___.
• Showing how two amounts relate to each other is a ___.
• The cost or amount for a single item is the cost ___.

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 Solve Problems with Unit Rates is comparing the total prices instead of the cost per item — the deal with the smaller total can still cost more per unit.
2. 10

   Say moreHow did the unit rate help you decide the better buy between the two token suppliers in your table?
3. 11

   Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: A supermarket shelf tag shows two deals side by side for the same brand of juice boxes: a 6-pack for $3.00 and a 10-pack for $4.50.

   Show your work

Last check

These two come from Lesson 3.7. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowExplain your thinking — A car travels 195 miles on 6 gallons of gas. What is the unit rate in miles per gallon?

   1. A30 miles per gallon
   2. B32.5 miles per gallon
   3. C33 miles per gallon
   4. D1,170 miles per gallon

   Explain your choice.
2. 13

   From Lesson 3.7Explain your thinking — A highway sign in Canada reads 100 km/h. Using 1 km ≈ 0.6 mi, is that faster or slower than 100 mi/h?

   1. ASlower — 100 km/h is about 60 mi/h
   2. BFaster — 100 km/h is about 160 mi/h
   3. CThe same, because both numbers are 100
   4. DYou cannot compare two different systems

   How do you know?
3. 14

   From Lesson 3.7Why do conversions between systems use ≈ rather than =?

   1. ABecause metric units are always bigger
   2. BBecause the amounts are actually different
   3. CBecause ratios cannot be exact
   4. DThe conversion factors are rounded approximations

   How do you know?

Be honest — this tells your teacher what to do next