Learn on PengiReveal Math, AcceleratedUnit 2: Proportional Relationships

Lesson 2-2: Use Tables to Determine Proportionality

In this Grade 7 lesson from Reveal Math, Accelerated, students learn how to use tables of equivalent ratios to determine whether two quantities share a proportional relationship. They practice identifying the constant of proportionality by comparing ratios across multiple scenarios, such as trail mix ingredients and popcorn seasoning measurements. The lesson builds foundational understanding of Unit 2: Proportional Relationships by connecting constant ratios to unit rates in real-world contexts.

Section 1

Identifying Proportionality in Tables

Property

Two quantities are in a proportional relationship if the ratio between them is constant. This can be verified using a table by testing for equivalent ratios.
For any pair of corresponding quantities (x,y)(x, y), the ratio yx\frac{y}{x} must be the same for all non-zero pairs in the table.

Examples

Section 2

Finding the Constant of Proportionality

Property

In a proportional relationship, the ratio between two quantities, yy and xx, is always constant. This constant value is called the constant of proportionality, represented by the letter kk. It is also known as the unit rate.

k=yxk = \frac{y}{x}

Book overview

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Unit 2: Proportional Relationships

  1. Lesson 1

    Lesson 2-1: Connect Ratios, Rates, and Proportions

  2. Lesson 2Current

    Lesson 2-2: Use Tables to Determine Proportionality

  3. Lesson 3

    Lesson 2-3: Use Graphs to Determine Proportionality

  4. Lesson 4

    Lesson 2-4: Represent Proportional Relationships with Equations

  5. Lesson 5

    Lesson 2-5: Use Proportional Reasoning to Solve Multi-Step Ratio Problems

Lesson overview

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Section 1

Identifying Proportionality in Tables

Property

Two quantities are in a proportional relationship if the ratio between them is constant. This can be verified using a table by testing for equivalent ratios.
For any pair of corresponding quantities (x,y)(x, y), the ratio yx\frac{y}{x} must be the same for all non-zero pairs in the table.

Examples

Section 2

Finding the Constant of Proportionality

Property

In a proportional relationship, the ratio between two quantities, yy and xx, is always constant. This constant value is called the constant of proportionality, represented by the letter kk. It is also known as the unit rate.

k=yxk = \frac{y}{x}

Book overview

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

Continue this chapter

Unit 2: Proportional Relationships

  1. Lesson 1

    Lesson 2-1: Connect Ratios, Rates, and Proportions

  2. Lesson 2Current

    Lesson 2-2: Use Tables to Determine Proportionality

  3. Lesson 3

    Lesson 2-3: Use Graphs to Determine Proportionality

  4. Lesson 4

    Lesson 2-4: Represent Proportional Relationships with Equations

  5. Lesson 5

    Lesson 2-5: Use Proportional Reasoning to Solve Multi-Step Ratio Problems