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Unit 03 · Ratios and MeasurementLesson

Day 043Conversions with Fractional Amounts

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 7 meters to centimeters. Show the conversion ratio.

700 centimeters

7 × 100 = 700. Smaller units require more units for the same amount.

WORKED EXAMPLE 2

Convert 210 minutes to hours. Show the conversion ratio.

7/2 hours

210 ÷ 60 = 7/2; 1 hours = 60 minutes.

02 · PRACTICE

Your turn

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

  1. Convert 6 meters to centimeters. Show the conversion ratio.

  2. Convert 2 hours to minutes. Show the conversion ratio.

  3. Convert 3 liters to milliliters. Show the conversion ratio.

  4. Convert 3000 milliliters to liters. Show the conversion ratio.

  5. Convert 7 meters to centimeters. Show the conversion ratio.

  6. Convert 800 centimeters to meters. Show the conversion ratio.

  7. Convert 1 meters to centimeters. Show the conversion ratio and explain why the numerical value grows.

  8. Convert 21/2 feet to yards. Show the conversion ratio.

  9. Convert 4 liters to milliliters. Show the conversion ratio and explain why the numerical value grows.

  10. Convert 250 centimeters to meters. Show the conversion ratio.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. 600 centimeters

    6 × 100 = 600. Smaller units require more units for the same amount.

  2. 120 minutes

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

  3. 3000 milliliters

    3 × 1000 = 3000. Smaller units require more units for the same amount.

  4. 3 liters

    3000 ÷ 1000 = 3; 1 liters = 1000 milliliters.

  5. 700 centimeters

    7 × 100 = 700. Smaller units require more units for the same amount.

  6. 8 meters

    800 ÷ 100 = 8; 1 meters = 100 centimeters.

  7. 100 centimeters

    1 × 100 = 100. Smaller units require more units for the same amount.

  8. 7/2 yards

    21/2 ÷ 3 = 7/2; 1 yards = 3 feet.

  9. 4000 milliliters

    4 × 1000 = 4000. Smaller units require more units for the same amount.

  10. 5/2 meters

    250 ÷ 100 = 5/2; 1 meters = 100 centimeters.

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