Learn on PengiReveal Math, Course 1Module 1: Ratios and Rates

1-6 Convert Customary Measurement Units

In this Grade 6 lesson from Reveal Math, Course 1 (Module 1: Ratios and Rates), students learn to convert customary units of length, weight, and capacity using ratio reasoning and unit ratios. They practice setting up equivalent ratios and using bar diagrams to convert between units such as pints to fluid ounces or gallons to cups. The lesson builds on students' understanding of ratio relationships to explain why numerical values increase when converting from larger to smaller units.

Section 1

Customary Unit Conversion Factors

Property

A conversion factor is a ratio of two equivalent measurements. Because the two quantities represent the same amount, a unit ratio (conversion factor) is essentially equal to 1. Multiplying by this ratio changes the unit but not the actual underlying value.

Below are common conversion factors for the customary system:

Section 2

Convert Using Equivalent Ratios

Property

To convert units, you can create an equivalent ratio by multiplying or dividing the numerator and denominator of a known conversion rate by the same number:

a units1b units2=a×c units1b×c units2\frac{a \text{ units}_1}{b \text{ units}_2} = \frac{a \times c \text{ units}_1}{b \times c \text{ units}_2}
  • To convert from a larger unit to a smaller unit, multiply by the conversion factor.
  • To convert from a smaller unit to a larger unit, divide by the conversion factor. If division results in a remainder, that amount stays in the original, smaller unit.

Book overview

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Module 1: Ratios and Rates

  1. Lesson 1

    1-1 Understand Ratios

  2. Lesson 2

    1-2 Tables of Equivalent Ratios

  3. Lesson 3

    1-3 Graphs of Equivalent Ratios

  4. Lesson 4

    1-4 Compare Ratio Relationships

  5. Lesson 5

    1-5 Solve Ratio Problems

  6. Lesson 6Current

    1-6 Convert Customary Measurement Units

  7. Lesson 7

    1-7 Understand Rates and Unit Rates

  8. Lesson 8

    1-8 Solve Rate Problems

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Customary Unit Conversion Factors

Property

A conversion factor is a ratio of two equivalent measurements. Because the two quantities represent the same amount, a unit ratio (conversion factor) is essentially equal to 1. Multiplying by this ratio changes the unit but not the actual underlying value.

Below are common conversion factors for the customary system:

Section 2

Convert Using Equivalent Ratios

Property

To convert units, you can create an equivalent ratio by multiplying or dividing the numerator and denominator of a known conversion rate by the same number:

a units1b units2=a×c units1b×c units2\frac{a \text{ units}_1}{b \text{ units}_2} = \frac{a \times c \text{ units}_1}{b \times c \text{ units}_2}
  • To convert from a larger unit to a smaller unit, multiply by the conversion factor.
  • To convert from a smaller unit to a larger unit, divide by the conversion factor. If division results in a remainder, that amount stays in the original, smaller unit.

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Module 1: Ratios and Rates

  1. Lesson 1

    1-1 Understand Ratios

  2. Lesson 2

    1-2 Tables of Equivalent Ratios

  3. Lesson 3

    1-3 Graphs of Equivalent Ratios

  4. Lesson 4

    1-4 Compare Ratio Relationships

  5. Lesson 5

    1-5 Solve Ratio Problems

  6. Lesson 6Current

    1-6 Convert Customary Measurement Units

  7. Lesson 7

    1-7 Understand Rates and Unit Rates

  8. Lesson 8

    1-8 Solve Rate Problems