Learn on PengiReveal Math, Course 1Module 7: Relationships Between Two Variables

7-1 Relationships Between Two Variables

In this Grade 6 lesson from Reveal Math, Course 1 (Module 7), students learn to identify independent and dependent variables in real-world situations and use equations and rules to find missing input and output values in tables. Using examples like cheetah speed, babysitting earnings, and arcade game costs, students practice applying a given rule to calculate dependent variable values and work backward from outputs to solve for unknown independent variable values.

Section 1

Independent and dependent variables

Property

An independent variable is the input whose value you can choose. A dependent variable is the output whose value is determined by the independent variable. The dependent variable's value always depends on the value chosen for the independent variable.

Examples

  • The cost of a phone bill (dependent) is determined by the amount of data used (independent).
  • Your final grade (dependent) is determined by the number of assignments you complete (independent).
  • The total cost (dependent) is determined by the number of movie tickets you buy (independent).

Explanation

It’s a cause-and-effect relationship! The number of hours you play video games (independent) affects your homework completion (dependent). You choose the game time, and that choice determines the outcome of your homework. Your choice is the cause, and the result is the effect.

Book overview

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Module 7: Relationships Between Two Variables

  1. Lesson 1Current

    7-1 Relationships Between Two Variables

  2. Lesson 2

    7-2 Write Equations to Represent Relationships Represented in Tables

  3. Lesson 3

    7-3 Graphs of Relationships

  4. Lesson 4

    7-4 Multiple Representations

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Independent and dependent variables

Property

An independent variable is the input whose value you can choose. A dependent variable is the output whose value is determined by the independent variable. The dependent variable's value always depends on the value chosen for the independent variable.

Examples

  • The cost of a phone bill (dependent) is determined by the amount of data used (independent).
  • Your final grade (dependent) is determined by the number of assignments you complete (independent).
  • The total cost (dependent) is determined by the number of movie tickets you buy (independent).

Explanation

It’s a cause-and-effect relationship! The number of hours you play video games (independent) affects your homework completion (dependent). You choose the game time, and that choice determines the outcome of your homework. Your choice is the cause, and the result is the effect.

Book overview

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

Continue this chapter

Module 7: Relationships Between Two Variables

  1. Lesson 1Current

    7-1 Relationships Between Two Variables

  2. Lesson 2

    7-2 Write Equations to Represent Relationships Represented in Tables

  3. Lesson 3

    7-3 Graphs of Relationships

  4. Lesson 4

    7-4 Multiple Representations