Lesson 10 | Proportional Relationships | 7th Grade Mathematics

Objective

Make connections between the four representations of proportional relationships (Part 1).

Lesson Map

Topic A: Representing Proportional Relationships in Tables, Equations, and Graphs

Lesson

Solve ratio and rate problems using prior learned strategies.

Standards

7.RP.A.17.RP.A.2

Lesson

Represent proportional relationships in tables, and define the constant of proportionality.

Standards

7.RP.A.27.RP.A.2.B

Lesson

Determine the constant of proportionality in tables, and use it to find missing values.

Standards

7.RP.A.2.A7.RP.A.2.B

Lesson

Write equations to represent proportional relationships presented in tables.

Standards

7.RP.A.2.B7.RP.A.2.C

Lesson

Write equations to represent proportional relationships in word problems.

Standards

7.RP.A.27.RP.A.2.C

Lesson

Represent and interpret proportional relationships as graphs.

Standards

7.RP.A.27.RP.A.2.A7.RP.A.2.D

Lesson

Identify and interpret constants of proportionality represented in graphs.

Standards

7.RP.A.27.RP.A.2.D

Topic B: Nonproportional Relationships

Lesson

Investigate and compare proportional and nonproportional relationships.

Standards

7.RP.A.2.A

Lesson

Justify if relationships are proportional or nonproportional.

Standards

7.RP.A.2.A

Topic C: Connecting Everything Together

Lesson

Make connections between the four representations of proportional relationships (Part 1).

Standards

7.RP.A.27.RP.A.2.B7.RP.A.2.C7.RP.A.2.D

Lesson

Make connections between the four representations of proportional relationships (Part 2).

Standards

7.RP.A.27.RP.A.2.B7.RP.A.2.C7.RP.A.2.D

Lesson

Analyze proportional relationships with real-world contexts and use different representations to advocate for social change.

Standards

7.RP.A.27.RP.A.2.A7.RP.A.2.B7.RP.A.2.C7.RP.A.2.D

Topic D: Solving Ratio & Rate Problems with Fractions

Lesson

Find the unit rate of ratios involving fractions.

Standards

7.RP.A.1

Lesson

Find unit rates involving ratios with fractions in real-world contexts.

Standards

7.RP.A.17.RP.A.3

Lesson

Solve ratio and rate problems using proportional reasoning, including setting up proportions.

Standards

7.RP.A.17.RP.A.3

Lesson

Solve ratio and rate problems using proportional reasoning, including part-part-whole problems.

Standards

7.RP.A.17.RP.A.3

Lesson

Solve multi-step ratio and rate problems using proportional reasoning, including fractional price increase and decrease, commissions, and fees.

Standards

7.RP.A.3

Lesson

Use proportional reasoning to solve real-world, multi-step problems.

Standards

7.RP.A.17.RP.A.27.RP.A.3

Proportional Relationships

Objective

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Proportional Relationships

Objective

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