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

7-2 Write Equations to Represent Relationships Represented in Tables

In this Grade 6 lesson from Reveal Math, Course 1, Module 7, students learn how to write one-step and two-step equations to represent relationships shown in tables, using independent and dependent variables. Students practice identifying constant ratios in input-output tables and translating those patterns into algebraic equations such as d = 8h or c = 9t. The lesson connects unit rate concepts to equation writing through real-world scenarios like earning money and purchasing items.

Section 1

One-Step Multiplicative Relationships

Property

When comparing two numerical patterns, a multiplicative relationship exists if each term in one pattern can be found by multiplying the corresponding term in the other pattern by a constant number.

If Pattern A has terms aa and Pattern B has terms bb, the relationship is b=k×ab = k \times a for a constant number kk.

Examples

  • Pattern A: 1, 2, 3, 4
  • Pattern B: 4, 8, 12, 16

The relationship is that each term in Pattern B is 4 times the corresponding term in Pattern A. (B=4×AB = 4 \times A)

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Module 7: Relationships Between Two Variables

  1. Lesson 1

    7-1 Relationships Between Two Variables

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  2. Lesson 2Current

    7-2 Write Equations to Represent Relationships Represented in Tables

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  3. Lesson 3

    7-3 Graphs of Relationships

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  4. Lesson 4

    7-4 Multiple Representations

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Lesson overview

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Section 1

One-Step Multiplicative Relationships

Property

When comparing two numerical patterns, a multiplicative relationship exists if each term in one pattern can be found by multiplying the corresponding term in the other pattern by a constant number.

If Pattern A has terms aa and Pattern B has terms bb, the relationship is b=k×ab = k \times a for a constant number kk.

Examples

  • Pattern A: 1, 2, 3, 4
  • Pattern B: 4, 8, 12, 16

The relationship is that each term in Pattern B is 4 times the corresponding term in Pattern A. (B=4×AB = 4 \times A)

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 1

    7-1 Relationships Between Two Variables

    LearnPractice
  2. Lesson 2Current

    7-2 Write Equations to Represent Relationships Represented in Tables

    LearnPractice
  3. Lesson 3

    7-3 Graphs of Relationships

    LearnPractice
  4. Lesson 4

    7-4 Multiple Representations

    LearnPractice