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Curriculum Math 6th Grade Unit 1: Understanding and Representing Ratios Lesson 5

Understanding and Representing Ratios

Lesson 5

Math

Unit 1

6th Grade

Lesson 5 of 18

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In this Lesson

Objective
Standards
Criteria for Success
Tips for Teachers
Warm Up (5–10 min)
Anchor Problems (25–35 min)
Problem Set (15–20 min)
Target Task (5–10 min)
Additional Practice

Objective

Lesson Notes

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Explore representing ratios on double number lines and use them to make sense of equivalence.

Lesson Map

Topic A: Understanding & Describing Ratios

Lesson

Define ratio and use ratio language to describe associations between two or more quantities.

Standards

6.RP.A.1

Lesson

Represent ratios using discrete drawings. Understand that the order of numbers in a ratio matters.

Standards

6.RP.A.1

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Topic B: Equivalent Ratios

Lesson

Define and generate equivalent ratios.

Standards

6.RP.A.1

Lesson

Reason about whether ratios are equivalent and justify conclusions using structure.

Standards

6.RP.A.1

Lesson

Explore representing ratios on double number lines and use them to make sense of equivalence.

Standards

6.RP.A.3

Lesson

Use strategies including double number lines to solve real-world ratio problems.

Standards

6.RP.A.3

Lesson

Investigate ratios with “per 1” unit and consider how finding this equivalent ratio supports reasoning.

Standards

6.RP.A.36.RP.A.3.B

Lesson

Compare situations using representations including double number lines.

Standards

6.RP.A.3

Lesson

Use ratio reasoning to solve a three-act task.

Standards

6.RP.A.3

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Topic C: Representing Ratios in Tables

Lesson

Explore representing ratios in tables and describe patterns that emerge.

Standards

6.RP.A.36.RP.A.3.A

Lesson

Analyze the structure of tables of equivalent ratios and use them to support reasoning.

Standards

6.RP.A.36.RP.A.3.A

Lesson

Use tables and other representations to reason about ratio situations, including those involving totals.

Standards

6.RP.A.36.RP.A.3.A

Lesson

Compare ratios using various representations, including tables.

Standards

6.RP.A.3.A

Lesson

Solve ratio problems using different strategies.

Standards

6.RP.A.16.RP.A.36.RP.A.3.A

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Topic D: Solving Part:Part:Whole Ratio Problems

Lesson

Explore part:part ratio situations using visual representations such as tape diagrams.

Standards

6.RP.A.16.RP.A.3

Lesson

Explore part:whole ratio situations and represent them using tape diagrams.

Standards

6.RP.A.16.RP.A.3

Lesson

Use and refine strategies to solve complex ratio problems, drawing on multiple representations.

Standards

6.RP.A.3

Lesson

Solve ratio problems using a variety of strategies, and reflect on the effectiveness of different approaches.

Standards

6.RP.A.3

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