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

Lesson overview

Expand to review the lesson summary and core properties.

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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