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

1-3 Graphs of Equivalent Ratios

In this Grade 6 lesson from Reveal Math, Course 1 (Module 1: Ratios and Rates), students learn how to represent equivalent ratios as ordered pairs and graph ratio relationships on the coordinate plane. Using real-world contexts like salad dressing and bracelet making, students practice generating tables of equivalent ratios, plotting the corresponding ordered pairs, and interpreting patterns in the resulting graphs.

Section 1

Review: Plotting Points in the First Quadrant

Property

The first quadrant of the coordinate plane is formed by a horizontal number line called the xx-axis and a vertical number line called the yy-axis that intersect at the origin, (0,0)(0, 0).

An ordered pair (x,y)(x, y) represents a specific point on this plane:

  • The xx-coordinate (first number) indicates the horizontal distance to the right of the origin.
  • The yy-coordinate (second number) indicates the vertical distance up from the xx-axis.

Section 2

Representing Ratios as Ordered Pairs

Property

A set of equivalent ratios can be organized in a ratio table. Each row in the table represents a pair of corresponding values, which can be written as an ordered pair (x,y)(x, y).

Examples

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 3Current

    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 8

    1-8 Solve Rate Problems

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Review: Plotting Points in the First Quadrant

Property

The first quadrant of the coordinate plane is formed by a horizontal number line called the xx-axis and a vertical number line called the yy-axis that intersect at the origin, (0,0)(0, 0).

An ordered pair (x,y)(x, y) represents a specific point on this plane:

  • The xx-coordinate (first number) indicates the horizontal distance to the right of the origin.
  • The yy-coordinate (second number) indicates the vertical distance up from the xx-axis.

Section 2

Representing Ratios as Ordered Pairs

Property

A set of equivalent ratios can be organized in a ratio table. Each row in the table represents a pair of corresponding values, which can be written as an ordered pair (x,y)(x, y).

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 3Current

    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 8

    1-8 Solve Rate Problems