7.RP.A.2

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- 7.RP.A.1Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.
- 7.RP.A.2Recognize and represent proportional relationships between quantities.
- 7.RP.A.3Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

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7.RP.A.2c

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- 7.RP.A.2aDecide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
- 7.RP.A.2bIdentify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
- 7.RP.A.2cRepresent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
- 7.RP.A.2dExplain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

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## 7.RP.A.2c

## Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.

32 Lesson(s)

### Writing Equations for Proportional Relationships

7th Grade Math »
Unit: Proportional Relationships

7th Grade Math »
Unit: Proportional Relationships

### Mine Craft Inspired Unit Project

8th Grade Math »
Unit: Solving Linear Equations in One Variable

8th Grade Math »
Unit: Solving Linear Equations in One Variable

### Graphs of Proportional Relationships - What are the two important characteristics?

7th Grade Math »
Unit: Proportional Reasoning

7th Grade Math »
Unit: Proportional Reasoning

### End of Grade Review: Tables, Graphs, and Equations of Proportional Relationships

7th Grade Math »
Unit: Culminating Unit: End of Grade Review

7th Grade Math »
Unit: Culminating Unit: End of Grade Review

### Proportional Reasoning Test - Time to Put it All Together!

7th Grade Math »
Unit: Proportional Reasoning

7th Grade Math »
Unit: Proportional Reasoning

### Problem Solving Connections - Can you apply what you know about proportional reasoning?

7th Grade Math »
Unit: Proportional Reasoning

7th Grade Math »
Unit: Proportional Reasoning

### Equations of Proportional Relationships - Who needs a table?

7th Grade Math »
Unit: Proportional Reasoning

7th Grade Math »
Unit: Proportional Reasoning

### Equations of Proportional Relationships - Fluency Practice!

7th Grade Math »
Unit: Proportional Reasoning

7th Grade Math »
Unit: Proportional Reasoning

### Proportional Reasoning Review - Remember Hollywood Squares?

7th Grade Math »
Unit: Proportional Reasoning

7th Grade Math »
Unit: Proportional Reasoning

### The Constant of Proportionality

7th Grade Math »
Unit: Ratios and Proportional Relationships

7th Grade Math »
Unit: Ratios and Proportional Relationships

### Quiz + The Constant of Proportionality in Equations and Tables

7th Grade Math »
Unit: Ratios and Proportional Relationships

7th Grade Math »
Unit: Ratios and Proportional Relationships

### Proportional Reasoning Retest - REWIND and Try Again!

7th Grade Math »
Unit: Proportional Reasoning

7th Grade Math »
Unit: Proportional Reasoning

### Determine the Constant of Proportionality Between the Sides of Right Triangles

7th Grade Math »
Unit: Proportional Relationships

7th Grade Math »
Unit: Proportional Relationships

Big Idea:

#### Students will use MP1, 2, 3, 4, 6, and 8 to solve problems involving identifying the constant of proportionality between the sides of right triangles in order to deepen their understanding of constant proportionality.

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### The Distance Formula

7th Grade Math »
Unit: Proportional Relationships

7th Grade Math »
Unit: Proportional Relationships

### Put it Together - Equations y = kx

7th Grade Math »
Unit: Ratios and Proportional Relationships

7th Grade Math »
Unit: Ratios and Proportional Relationships

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