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Change units with ratios: 6th grade math

Unit conversion by ratio reasoning. A free 6th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

Goal

  • Students can do this: unit conversion by ratio reasoning.

Teach (10 min)

  • 1 foot = 12 inches is a ratio. Going to a smaller unit gives more of them: multiply.
  • Going to a bigger unit gives fewer: 36 inches ÷ 12 = 3 feet.
  • Work one example on the board while students say each step aloud, then do one together.

Practise (15 min)

  • Students work the printable sheet in pairs, then alone.
  • Or practise it as a game with no sign-up: https://peabody.kids/math/ratio6.convert?lesson=6-ratio6-convert-1&at=6

Exit ticket (5 min)

  • Use the first three questions on the printable sheet as a slip.

Printable sheet

Name: ____________________   Date: ____________

Change units with ratios (6th grade)

  1. 1 centimeter = 10 millimeters. How many millimeters are in 7 centimeters?
    centimetersmillimeters001107?
  2. 1 pint = 2 cups. How many cups are in 2 pints?
    pintscups00122?
  3. 1 meter = 100 centimeters. How many centimeters are in 8 meters?
    meterscentimeters0011008?
  4. 1 day = 24 hours. How many hours are in 9 days?
    dayshours001249?
  5. 1 gallon = 4 quarts. How many quarts are in 6 gallons?
    gallonsquarts00146?
  6. 1 foot = 12 inches. How many inches are in 4 feet?
    feetinches001124?
  7. 1 kilogram = 1000 grams. How many kilograms are in 4000 grams?
    kilogramsgrams0011000?4000
  8. 1 centimeter = 10 millimeters. How many millimeters are in 3 centimeters?
    centimetersmillimeters001103?
  9. 1 kilogram = 1000 grams. How many grams are in 7 kilograms?
    kilogramsgrams00110007?
  10. 1 year = 12 months. How many years are in 48 months?
    yearsmonths00112?48
  11. 1 pound = 16 ounces. How many pounds are in 32 ounces?
    poundsounces00116?32
  12. 1 quart = 2 pints. How many quarts are in 8 pints?
    quartspints0012?8
Key
  1. 70 millimeters
  2. 4 cups
  3. 800 centimeters
  4. 216 hours
  5. 24 quarts
  6. 48 inches
  7. 4 kilograms
  8. 30 millimeters
  9. 7000 grams
  10. 4 years
  11. 2 pounds
  12. 4 quarts

Written by Peabody from its own skill pages. Free, no ads, no sign-in. Children can practise this on Peabody. More from teachers: teacher-shared resources.