Grade 6 Mathematics · Unit 3: Ratios & RatesStandard 6.AT.3c

Lesson 3.103.10 · Part II

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can convert measurement units using ratios and conversion factors.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
Conversion FactorSpanish: Factor de conversión A ratio that helps you change one unit into another. 1 foot = 12 inches, so the factor is 12
UnitSpanish: Unidad A standard amount used to measure, like an inch or a liter. Inches, feet, pounds, ounces
EquivalentSpanish: Equivalente Having the same value, just in different units. 2 feet = 24 inches
RatioSpanish: Razón A way to compare two amounts, like 3 to 2. 12 inches per 1 foot
Customary unitsSpanish: Unidades usuales (sistema inglés) The U.S. way of measuring, like inches, feet, and pounds. 12 inches = 1 foot, 3 feet = 1 yard, 16 ounces = 1 pound
Metric unitsSpanish: Unidades métricas A way of measuring by 10s, like meters, liters, and grams. 1 meter = 100 centimeters, 1 kilogram = 1,000 grams

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

Word bank Conversion FactorUnitEquivalentRatioCustomary unitsMetric units

Watch outA common mistake

A common mistake in Convert Measurement Units is applying the conversion factor in the wrong direction — for example, converting 4 feet to inches by dividing (4 ÷ 12 = 0.33 inches) instead of multiplying (4 × 12 = 48 inches), or converting 80 ounces to pounds by multiplying (80 × 16 = 1,280 pounds) instead of dividing (80 ÷ 16 = 5 pounds). Before you answer, ask: am I changing to a SMALLER unit (there will be MORE of them, so multiply) or a BIGGER unit (there will be FEWER of them, so divide)?

Grade 6 Mathematics · Unit 3: Ratios & RatesStandard 6.AT.3c

Lesson 3.103.10 · Part II

Apply Day · Version ASupported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can convert measurement units using ratios and conversion factors.

  1. 1Complete each step, then write the final answer.
    Yards17Feet3?× ?× ?

    There are 3 feet in 1 yard. How many feet are in 7 yards?

    Show your work

    Hint The scale factor from 1 yard to 7 yards is 7. Multiply the feet by 7.

    Final answer:
  2. 2Complete each step, then write the final answer.
    Meters16Centimeters100?× ?× ?

    There are 100 centimeters in 1 meter. How many centimeters are in 6 meters?

    Show your work

    Hint The scale factor from 1 meter to 6 meters is 6. Multiply the centimeters by 6.

    Final answer:
  3. 3Complete each step, then write the final answer.
    Pounds13Ounces16?× ?× ?

    There are 16 ounces in 1 pound. How many ounces are in 3 pounds?

    Show your work

    Hint The scale factor from 1 pound to 3 pounds is 3. Multiply the ounces by 3.

    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 3: Ratios & RatesStandard 6.AT.3c

Lesson 3.103.10 · Part II

Apply Day · Version BCore practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can convert measurement units using ratios and conversion factors.

  1. 1Complete each step, then write the final answer.
    Yards14Feet3?× ?× ?

    Which is longer: 4 yards or 11 feet? Write the longer length in feet.

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Yards1?Feet327× ?× ?

    A fence is 27 feet long. How many yards long is it?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Feet110Inches12?× ?× ?

    There are 12 inches in 1 foot. How many inches are in 10 feet?

    Show your work
    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 3: Ratios & RatesStandard 6.AT.3c

Lesson 3.103.10 · Part II

Apply Day · ChallengeExtension

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can convert measurement units using ratios and conversion factors.

  1. 1Circle the letter of the best answer. Show how you know.

    Convert 3 hours to seconds using 1 hour = 60 minutes and 1 minute = 60 seconds.

    1. A120 seconds
    2. B180 seconds
    3. C3,600 seconds
    4. D10,800 seconds
    Show your work
  2. 2Complete each step, then write the final answer.
    Yards16Feet3?Inches??× ?× ?

    Dee changes 6 yards to inches. She multiplies 6 × 12 and gets 72 inches. What is the correct number of inches?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Yards18Feet3?Inches??× ?× ?

    A ribbon is 8 yards long. How many inches long is it? Use 1 yard = 3 feet and 1 foot = 12 inches.

    Show your work
    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help