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Unit 03 · Ratios and MeasurementLesson

Day 044Explaining Conversion Ratios

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 4 hours to minutes. Show the conversion ratio.

240 minutes

4 × 60 = 240. Smaller units require more units for the same amount.

WORKED EXAMPLE 2

Convert 400 centimeters to meters. Show the conversion ratio.

4 meters

400 ÷ 100 = 4; 1 meters = 100 centimeters.

02 · PRACTICE

Your turn

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

  1. Convert 7 feet to inches. Show the conversion ratio.

  2. Convert 7 liters to milliliters. Show the conversion ratio.

  3. Convert 2 yards to feet. Show the conversion ratio.

  4. Convert 180 minutes to hours. Show the conversion ratio.

  5. Convert 4 hours to minutes. Show the conversion ratio.

  6. Convert 2000 milliliters to liters. Show the conversion ratio.

  7. Convert 7/2 feet to inches. Show the conversion ratio and explain why the numerical value grows.

  8. Convert 120 minutes to hours. Show the conversion ratio.

  9. Convert 1 yards to feet. Show the conversion ratio and explain why the numerical value grows.

  10. Convert 150 centimeters to meters. Show the conversion ratio.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. 84 inches

    7 × 12 = 84. Smaller units require more units for the same amount.

  2. 7000 milliliters

    7 × 1000 = 7000. Smaller units require more units for the same amount.

  3. 6 feet

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

  4. 3 hours

    180 ÷ 60 = 3; 1 hours = 60 minutes.

  5. 240 minutes

    4 × 60 = 240. Smaller units require more units for the same amount.

  6. 2 liters

    2000 ÷ 1000 = 2; 1 liters = 1000 milliliters.

  7. 42 inches

    7/2 × 12 = 42. Smaller units require more units for the same amount.

  8. 2 hours

    120 ÷ 60 = 2; 1 hours = 60 minutes.

  9. 3 feet

    1 × 3 = 3. Smaller units require more units for the same amount.

  10. 3/2 meters

    150 ÷ 100 = 3/2; 1 meters = 100 centimeters.

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