#### Lessons

**Understand unit rates using fractional rates (7.RP.1)**

- In this lesson you will learn to understand unit rates by examining pictures of fractional rates.

**Determine unit rates using pictures (7.RP.1)**

- In this lesson you will learn how to determine the unit rate by using pictures.

**Determine unit rates using a table (7.RP.1)**

- In this lesson you will learn to determine the unit rate by using a table of values.

** Graph a proportional relationship using a table (7.RP.2)**

- In this lesson you will learn how to graph a proportional relationship by using a table.

**Identifying proportional relationships by examining a graph (7.RP.2)**

- In this lesson you will learn how to identify a proportional relationship by analyzing a graph.

**Identify proportional relationships by examining the origin (7.RP.2)**

- In this lesson you will learn how to identify a proportional relationship by exploring the meaning of the origin.

**Evaluate specific points on a graph of a proportional relationship (7.RP.2)**

- In this lesson you will learn how to evaluate the meaning of ordered pairs by applying what you know about rates.

**Estimate a percent value using a bar model (7.RP.3)**

- In this lesson you will learn how to estimate the value of a percent by using a bar model.

**Calculate percent of a number using a proportion model (7.RP.3)**

- In this lesson you will learn how to calculate a percent of a number by using a proportion model.

**Solve percent of a number problems using a proportion model (7.RP.3)**

- In this lesson you will learn how to solve real-life problems involving a percent of a number by using a proportion model.

**Apply taxes, tips, and discounts using a proportion and scale factor (7.RP.3)**

- In this lesson you will learn how to apply a tax, tip, and discount by using a proportion and scale factor.

**Calculate percent increase and decrease in context (7.RP.3)**

- In this lesson you will learn how to calculate a percent of change by using a proportion.

#### Isolation Drills

**7.RP.A.1**

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

**7.RP.A.2**

Recognize and represent proportional relationships between quantities.

- Identifying proportional relationships
- Identifying proportional relationships with graphs
- Interpreting graphs of proportional relationships
- Rate problems with fractions
- Writing proportional equations

**7.RP.A.2a**

Decide 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.2b**

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

**7.RP.A.2c**

Represent proportional relationships by equations.

**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.

**7.RP.A.3**

Use proportional relationships to solve multistep ratio and percent problems.

- Discount, tax, and tip word problems
- Markup and commission word problems
- Proportion word problems
- Solving proportions
- Writing proportions

**7.RP.A.1**

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

**7.RP.A.2**

Recognize and represent proportional relationships between quantities.

- Identifying proportional relationships
- Identifying proportional relationships with graphs
- Interpreting graphs of proportional relationships
- Rate problems with fractions
- Writing proportional equations

**7.RP.A.2a**

Decide 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.2b**

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

**7.RP.A.2c**

Represent proportional relationships by equations.

**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.

**7.RP.A.3**

Use proportional relationships to solve multistep ratio and percent problems.

- Discount, tax, and tip word problems
- Markup and commission word problems
- Proportion word problems
- Solving proportions
- Writing proportions

#### TenMarks Practice

7.RP.1

Calculating Unit Rate