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

1-8 Solve Rate Problems

In Grade 6 Reveal Math Course 1, Lesson 1-8, students learn to solve real-world rate problems by finding unit rates and applying bar diagrams, double number lines, and equivalent rates. The lesson covers how to calculate unit prices, unit speeds, and rates per minute, then scale those rates to compare and find differences over larger quantities or time intervals. Students work through multi-step problems involving rates such as miles per hour, price per can, and heartbeats per minute.

Section 1

Using Double Number Lines for Rate Problems

Property

Double number lines show equivalent rates by aligning corresponding values on parallel lines.

This visual tool helps you see how two different quantities grow at the same time.

Section 2

Solving Rate Problems with Equivalent Rates

Property

To solve a rate word problem using abstract math, first identify the two quantities being compared and set up two equal rates. Let a variable (like xx) represent the unknown quantity. Ensure that the units align perfectly straight across the numerators and denominators.

Unit A quantity 1Unit B quantity 1=Unit A quantity 2Unit B quantity 2\frac{\text{Unit A quantity 1}}{\text{Unit B quantity 1}} = \frac{\text{Unit A quantity 2}}{\text{Unit B quantity 2}}

Examples

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 7

    1-7 Understand Rates and Unit Rates

  8. Lesson 8Current

    1-8 Solve Rate Problems

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Using Double Number Lines for Rate Problems

Property

Double number lines show equivalent rates by aligning corresponding values on parallel lines.

This visual tool helps you see how two different quantities grow at the same time.

Section 2

Solving Rate Problems with Equivalent Rates

Property

To solve a rate word problem using abstract math, first identify the two quantities being compared and set up two equal rates. Let a variable (like xx) represent the unknown quantity. Ensure that the units align perfectly straight across the numerators and denominators.

Unit A quantity 1Unit B quantity 1=Unit A quantity 2Unit B quantity 2\frac{\text{Unit A quantity 1}}{\text{Unit B quantity 1}} = \frac{\text{Unit A quantity 2}}{\text{Unit B quantity 2}}

Examples

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 7

    1-7 Understand Rates and Unit Rates

  8. Lesson 8Current

    1-8 Solve Rate Problems