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Grade 6 · unit review

Review: Represent Proportional Quantities

Connect equivalent ratios, unit rates, percent parts, and ordered pairs in supplied models.

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Bring the unit skills together

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Unit review questions
1. A blue:white recipe is 3:5. How much of each makes 24 cups?
2. A constant-rate pump produces 45 cups in 5 minutes. What is its rate?
3. What is 30% of a 50-cup total?
4. Let x be blue and y white in a 4:3 recipe. Which pair matches x = 8?

The download contains your current choices and any checked feedback. Keep the separate transfer-task work in your own document; downloading its instructions does not mark it complete.

Use the skills in a new task

Plan a fictional 25-cup batch with blue:white = 2:3. A fictional pump delivers 20 cups in 4 minutes at a constant rate. Find ingredient amounts, the pump unit rate and time for the batch, and the percent blue. Write two valid ordered pairs (blue, white), including your batch and a batch half as large. No actual mixing is required.

Work on paper or in your own document. Explain the choices you made.

  • Scale the five-cup recipe to 10 blue and 15 white.
  • Find 5 cups/minute and a 5-minute pumping time.
  • Compute blue as 10/25 = 40% of the whole.
  • Record (10,15) and (5,7.5), keeping blue first.
Compare with a model response

25 ÷ 5 = 5, so the batch uses 10 cups blue and 15 cups white. The pump rate is 20 ÷ 4 = 5 cups/minute; 25 ÷ 5 = 5 minutes. Blue is 10/25 = 2/5 = 40%. The pairs (10,15) and (5,7.5) preserve the same ratio.

A different response can also meet the criteria. Compare the evidence and reasoning, rather than copying the wording.