Math Coach Lesson index ↗
Unit 03 · Ratios and MeasurementLesson

Day 038Comparing Mixtures

LearnClassworkAnswer keyPDF packet ↗
Standards 6.RP.A.3a
LEARNING TARGET

I can compare ratios using a common quantity.

01 · LEARN

Build the idea

Scale two ratios until one quantity matches, then compare the other quantity. The larger count alone is not enough: compare the amount per equal-sized batch or per one item.

WORKED EXAMPLE 1

Mix A has 7 cups juice for 5 cups water. Mix B has 39 cups juice for 25 cups water. Which is stronger in juice? Show equivalent ratios.

Mix B

For 25 cups water, A uses 35 cups juice; B uses 39. B has more juice per equal water amount.

WORKED EXAMPLE 2

Mix A has 2 cups juice for 4 cups water. Mix B has 13 cups juice for 20 cups water. Which is stronger in juice? Show equivalent ratios.

Mix B

For 20 cups water, A uses 10 cups juice; B uses 13. B has more juice per equal water amount.

02 · PRACTICE

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

  1. Mix A has 6 cups juice for 3 cups water. Mix B has 37 cups juice for 18 cups water. Which is stronger in juice? Show equivalent ratios.

  2. Mix A has 8 cups juice for 7 cups water. Mix B has 50 cups juice for 42 cups water. Which is stronger in juice? Show equivalent ratios.

  3. Mix A has 6 cups juice for 6 cups water. Mix B has 16 cups juice for 12 cups water. Which is stronger in juice? Show equivalent ratios.

  4. Mix A has 7 cups juice for 2 cups water. Mix B has 22 cups juice for 6 cups water. Which is stronger in juice? Show equivalent ratios.

  5. Mix A has 4 cups juice for 2 cups water. Mix B has 23 cups juice for 10 cups water. Which is stronger in juice? Show equivalent ratios.

  6. Mix A has 8 cups juice for 5 cups water. Mix B has 25 cups juice for 15 cups water. Which is stronger in juice? Show equivalent ratios.

  7. Mix A has 6 cups juice for 4 cups water. Mix B has 32 cups juice for 20 cups water. Which is stronger in juice? Show equivalent ratios.

  8. Mix A has 8 cups juice for 5 cups water. Mix B has 42 cups juice for 25 cups water. Which is stronger in juice? Show equivalent ratios.

  9. Mix A has 5 cups juice for 5 cups water. Mix B has 28 cups juice for 25 cups water. Which is stronger in juice? Show equivalent ratios.

  10. Mix A has 4 cups juice for 4 cups water. Mix B has 19 cups juice for 16 cups water. Which is stronger in juice? Show equivalent ratios.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. Mix B

    For 18 cups water, A uses 36 cups juice; B uses 37. B has more juice per equal water amount.

  2. Mix B

    For 42 cups water, A uses 48 cups juice; B uses 50. B has more juice per equal water amount.

  3. Mix B

    For 12 cups water, A uses 12 cups juice; B uses 16. B has more juice per equal water amount.

  4. Mix B

    For 6 cups water, A uses 21 cups juice; B uses 22. B has more juice per equal water amount.

  5. Mix B

    For 10 cups water, A uses 20 cups juice; B uses 23. B has more juice per equal water amount.

  6. Mix B

    For 15 cups water, A uses 24 cups juice; B uses 25. B has more juice per equal water amount.

  7. Mix B

    For 20 cups water, A uses 30 cups juice; B uses 32. B has more juice per equal water amount.

  8. Mix B

    For 25 cups water, A uses 40 cups juice; B uses 42. B has more juice per equal water amount.

  9. Mix B

    For 25 cups water, A uses 25 cups juice; B uses 28. B has more juice per equal water amount.

  10. Mix B

    For 16 cups water, A uses 16 cups juice; B uses 19. B has more juice per equal water amount.

← Lesson indexBack to top ↑Day 039 →