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Unit 03 · Ratios and MeasurementLesson

Day 042Customary and Metric Conversions

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

I can convert measurements using equivalent ratios.

01 · LEARN

Build the idea

Write an equality such as 1 foot = 12 inches. Multiply to change larger units into smaller units; divide for the reverse. A conversion factor is a ratio equal to 1, so the amount stays the same.

WORKED EXAMPLE 1

Convert 2 yards to feet. Show the conversion ratio.

6 feet

2 × 3 = 6. Smaller units require more units for the same amount.

WORKED EXAMPLE 2

Convert 12 feet to yards. Show the conversion ratio.

4 yards

12 ÷ 3 = 4; 1 yards = 3 feet.

02 · PRACTICE

Your turn

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

  1. Convert 6 hours to minutes. Show the conversion ratio.

  2. Convert 5 liters to milliliters. Show the conversion ratio.

  3. Convert 8 feet to inches. Show the conversion ratio.

  4. Convert 600 centimeters to meters. Show the conversion ratio.

  5. Convert 2 liters to milliliters. Show the conversion ratio.

  6. Convert 4000 milliliters to liters. Show the conversion ratio.

  7. Convert 5/2 meters to centimeters. Show the conversion ratio and explain why the numerical value grows.

  8. Convert 15/2 feet to yards. Show the conversion ratio.

  9. Convert 2 hours to minutes. Show the conversion ratio and explain why the numerical value grows.

  10. Convert 42 inches to feet. Show the conversion ratio.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. 360 minutes

    6 × 60 = 360. Smaller units require more units for the same amount.

  2. 5000 milliliters

    5 × 1000 = 5000. Smaller units require more units for the same amount.

  3. 96 inches

    8 × 12 = 96. Smaller units require more units for the same amount.

  4. 6 meters

    600 ÷ 100 = 6; 1 meters = 100 centimeters.

  5. 2000 milliliters

    2 × 1000 = 2000. Smaller units require more units for the same amount.

  6. 4 liters

    4000 ÷ 1000 = 4; 1 liters = 1000 milliliters.

  7. 250 centimeters

    5/2 × 100 = 250. Smaller units require more units for the same amount.

  8. 5/2 yards

    15/2 ÷ 3 = 5/2; 1 yards = 3 feet.

  9. 120 minutes

    2 × 60 = 120. Smaller units require more units for the same amount.

  10. 7/2 feet

    42 ÷ 12 = 7/2; 1 feet = 12 inches.

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