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.2d

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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.2d

## Explain 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.

26 Lesson(s)

### 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

### Identify the Constant of Proportionality From a Graph

7th Grade Math »
Unit: Proportional Relationships

7th Grade Math »
Unit: Proportional Relationships

### Graphing Proportional Relationships - Fluency Practice

7th Grade Math »
Unit: Proportional Reasoning

7th Grade Math »
Unit: Proportional Reasoning

### Quiz + Graphing Proportional Relationships

7th Grade Math »
Unit: Ratios and Proportional Relationships

7th Grade Math »
Unit: Ratios and Proportional Relationships

### Determine if Two Quantities are in a Proportional Relationship

7th Grade Math »
Unit: Proportional Relationships

7th Grade Math »
Unit: Proportional Relationships

### Unit 5 Test

7th Grade Math »
Unit: Ratios and Proportional Relationships

7th Grade Math »
Unit: Ratios and Proportional Relationships

### Identify the Constant of Proportionality from a Table

7th Grade Math »
Unit: Proportional Relationships

7th Grade Math »
Unit: Proportional Relationships

### 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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Resources
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Reflections
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### Compute the Unit Rate Associated With a Ratio of a Fraction

7th Grade Math »
Unit: Proportional Relationships

7th Grade Math »
Unit: Proportional Relationships

### Pre Assessment

7th Grade Math »
Unit: Expressions and Equations

7th Grade Math »
Unit: Expressions and Equations

Big Idea:

#### This pre assessment will help you develop a well tailored unit to fit the needs of your students. You may choose some or all of the problems from the pre assessment, you may also add to the assessment questions as you see fit.

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Resources
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### Identify the Constant of Proportionality from an Equation

7th Grade Math »
Unit: Proportional Relationships

7th Grade Math »
Unit: Proportional Relationships

### WP: Identify the Constant of Proportionality

7th Grade Math »
Unit: Proportional Relationships

7th Grade Math »
Unit: Proportional Relationships

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