Ratios and Proportions unit pack (Grades 6-7 · CCSS 6.RP.A.3, 7.RP.A.2): every worksheet and exit ticket for this unit, ready to print in one go. The answer keys print at the end, each on its own page, so you can leave them off. To make a PDF, click Print and choose "Save as PDF." Games: Proportional Plates

Proportions in the Kitchen

Grades 6–7 · CCSS 7.RP.A.2 · Pairs with the Proportional Plates game

Name

Date

In a proportional relationship, every amount changes by the same factor. Two ways to solve: find the scale factor (order ÷ recipe) and multiply, or find the unit rate (the amount for 1) and multiply. Never add the difference.

Key vocabulary

ratio: a comparison of two amounts, like 2 cups of flour for 4 pancakes (2 : 4)
equivalent ratios: ratios that make the same comparison, like 2 : 4 and 6 : 12
rate: a ratio comparing two different units, like $6 for 3 drinks
unit rate: the amount for 1 of something, like $2 per drink
proportional relationship: two amounts that always change by the same factor
scale factor: the number every amount is multiplied by (12 pancakes ÷ 4 pancakes = 3)
constant of proportionality: the unit rate in y = kx; the k that every input is multiplied by

Part A: Scale the recipe

1. 4 pancakes use 2 cups of flour. How much flour for 12 pancakes?

cups

2. A recipe for 2 people uses 3 eggs. How many eggs for 8 people?

eggs

3. 5 tacos use 10 oz of meat. How much meat for 15 tacos?

4. A soup for 6 people uses 4 cups of broth. How much for 3 people?

cups

Part B: Ratio tables

5. 6 cookies use 4 eggs. How many eggs for 9 cookies? Use the table.

Cookies	6	3	9
Eggs	4

eggs

6. Complete the table. Every column must be in the same ratio.

Servings	4	2	6	10
Cups of rice	6

Part C: Unit prices at the market

7. 5 lemons cost $2.50. What do 8 lemons cost?

8. 3 lb of apples cost $4.50. Find the price per pound, then the cost of 7 lb.

$/lb $

9. Which is the better deal: a 12 oz bag of flour for $3.00 or a 20 oz bag for $4.40? Show the unit price of each.

Better deal:

Part D: Fractional scale factors

10. 2 cups of rice serve 4 people. How much rice for 6 people?

cups

11. A recipe for 6 uses 9 oz of cheese. How much for 4?

12. Find the mistake. Casey said: "4 pancakes use 2 cups, and 12 pancakes is 8 more, so I need 2 + 8 = 10 cups." What went wrong? What's the right amount?

Correct: cups

Exit Ticket: Proportions

Grades 6–7 · CCSS 7.RP.A.2

Name

1. A recipe for 3 people uses 2 cups of rice. How much rice for 6 people?

cups

2. 4 pens cost $6. What is the price of 1 pen? Of 10 pens?

$ $

3. Is this table proportional? Explain.

x	2	4	6
y	5	10	16

Yes / No

Answer Key: Proportions in the Kitchen

For the teacher

k = 12 / 4 = 3; 2 × 3 = 6 cups
k = 8 / 2 = 4; 3 × 4 = 12 eggs
k = 15 / 5 = 3; 10 × 3 = 30 oz
k = 3 / 6 = ½; 4 × ½ = 2 cups
Halve: 3 cookies → 2 eggs. Add columns 6 + 3: 9 cookies → 6 eggs
2 servings → 3; 6 servings → 9; 10 servings → 15 cups (1.5 cups per serving)
$2.50 ÷ 5 = $0.50 each; 8 × $0.50 = $4.00
$4.50 ÷ 3 = $1.50/lb; 7 × $1.50 = $10.50
12 oz: $3.00 ÷ 12 = $0.25/oz. 20 oz: $4.40 ÷ 20 = $0.22/oz. The 20 oz bag is the better deal.
k = 6 / 4 = 1½; 2 × 1½ = 3 cups
k = 4 / 6 = ⅔; 9 × ⅔ = 6 oz
Casey added instead of multiplying. 12 pancakes is 3 times as many, so every ingredient triples: 2 × 3 = 6 cups

#12 is the most common proportion mistake. In the game, it's named in a pop-up with a tape diagram that shows why every amount has to grow by the same factor.

Answer Key: Exit Ticket

Proportions

k = 6 / 3 = 2; 2 × 2 = 4 cups
$6 ÷ 4 = $1.50 each; 10 × $1.50 = $15
No. 2 → 5 and 4 → 10 have the ratio 2.5, but 6 → 16 would need to be 15. The ratios aren't all equal.

Quick read: 5 cups on #1 means the student added 3 (the additive mistake). Assign Level 1 in Practice mode, where the pop-up shows why every amount must be multiplied.