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

1-7 Understand Rates and Unit Rates

In this Grade 6 lesson from Reveal Math, Course 1 (Module 1: Ratios and Rates), students learn how rates differ from ratios and how to calculate unit rates by dividing to find a first quantity compared to 1 unit of a second quantity. Using ratio tables and equivalent rates, students practice finding unit rates in real-world contexts such as wing flap frequency and unit price comparisons. By the end of the lesson, students can apply rate and unit rate reasoning to determine the better buy when comparing differently sized products.

Section 1

Understanding Rates and Unit Rates

Property

A ratio compares two quantities, often of the same kind.

A rate is a special type of ratio that compares quantities with different units (like miles and gallons, or dollars and hours).

Section 2

Finding Unit Rates Using Ratio Tables

Property

A ratio table is a visual tool used to organize equivalent rates. To find a unit rate using a ratio table, divide both quantities in the given rate by the value of the second quantity. This scales the rate down so that the second quantity becomes exactly 1.

Rate=ab÷ba÷bb÷b=c1 (Unit Rate)\text{Rate} = \frac{a}{b} \xrightarrow{\div b} \frac{a \div b}{b \div b} = \frac{c}{1} \text{ (Unit Rate)}

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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 6

    1-6 Convert Customary Measurement Units

  7. Lesson 7Current

    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

Understanding Rates and Unit Rates

Property

A ratio compares two quantities, often of the same kind.

A rate is a special type of ratio that compares quantities with different units (like miles and gallons, or dollars and hours).

Section 2

Finding Unit Rates Using Ratio Tables

Property

A ratio table is a visual tool used to organize equivalent rates. To find a unit rate using a ratio table, divide both quantities in the given rate by the value of the second quantity. This scales the rate down so that the second quantity becomes exactly 1.

Rate=ab÷ba÷bb÷b=c1 (Unit Rate)\text{Rate} = \frac{a}{b} \xrightarrow{\div b} \frac{a \div b}{b \div b} = \frac{c}{1} \text{ (Unit Rate)}

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 6

    1-6 Convert Customary Measurement Units

  7. Lesson 7Current

    1-7 Understand Rates and Unit Rates

  8. Lesson 8

    1-8 Solve Rate Problems