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

Lesson 3.63.6 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

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

Learning target With my small group, I can use ratio reasoning to convert between units within the same measurement system — one step at a time, with support.

Remember3.6 Small Group · Group 1

A conversion factor is a ratio between two units. To change to a smaller unit, multiply, because you need more of the smaller unit. To change to a smaller unit, multiply by the conversion factor. You get more of the smaller unit.

Words: Conversion factor (Factor de conversión)Unit ratio (Razón unitaria)Convert (Convertir)Measurement system (Sistema de medidas)Double number line (Recta numérica doble)

  1. 1Complete each step, then write the final answer.
    YardsFeet________________

    A rope is 3 yards long. There are 3 feet in 1 yard. How many feet long is the rope?

    Show your work

    Hint Feet are smaller than yards, so multiply: 3 × 3.

    Final answer:
  2. 2Complete each step, then write the final answer.
    FeetInches________________

    How many inches are in 8 feet?

    Show your work

    Hint Inches are smaller than feet. Multiply by 12.

    Final answer:
  3. 3Complete each step, then write the final answer.
    QuartsCups________________

    A pitcher holds 2 quarts of juice. There are 4 cups in 1 quart. How many cups of juice does the pitcher hold?

    Show your work

    Hint Cups are smaller than quarts, so you will get more cups.

    Final answer:
  4. 4Complete each step, then write the final answer.
    PoundsOunces________________

    A recipe needs 3 pounds of cheese. Each package of cheese has 12 ounces. How many packages do you need?

    Show your work

    Hint Change pounds to ounces first. There are 16 ounces in 1 pound.

    Final answer:

Explain your thinkingWhen you change feet to inches, why does the number get bigger? Use Leo's mistake to explain.

Sentence starter I multiply when I change to a smaller unit because ___. · Leo should divide because ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help