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Common Core for Grade 7

Common Core for Mathematics

More Lessons for Grade 7

Examples, solutions, videos, and lessons to help Grade 7 students learn how to recognize and represent proportional relationships between quantities.

A. 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.

Common Core: 7.RP.2a

### Suggested Learning Targets

**Identifying Proportional Relationships (7.RP.2)**

A proportional relationship has a constant ratio between the two variables.

Graphs of proportional relationships are straight lines through the origin (0,0).

**Ratios & Proportions - Determine Proportional Relationships**

How can you determine if two situations are proportional?

Example:

1. Classroom A has a 4 to 3 ratio of girls to boys. Classroom B has a ratio of 12 to 10. Is the situation between girls to boys in these two classrooms proportional?

2. Plane A traveled 625 miles in 4 hours. Plane B traveled 1250 miles in 8 hours. Is the rate between the two planes proportional?

3. Cineplex A is offering a 5-movie pass for $28. Cineplex B is offering an 8-movie pass for $45. Is the rate between the two Cineplex theaters proportional?**Proportional Relationships with Tables**

Students will learn how if two quantities are proportional to each other or not, when given a table or or by creating a table.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Common Core for Grade 7

Common Core for Mathematics

More Lessons for Grade 7

Examples, solutions, videos, and lessons to help Grade 7 students learn how to recognize and represent proportional relationships between quantities.

A. 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.

Common Core: 7.RP.2a

- I can compare two ratios in a proportion.
- I can determine whether two quantities are in a proportional relationship by testing for equivalent ratios by graphing on a coordinate plane.
- I can determine whether two quantities are in a proportional relationship by testing for equivalent ratios in a table.
- I can determine whether two quantities are in a proportional relationship by testing for equivalent ratios by graphing on a coordinate plane.

A proportional relationship has a constant ratio between the two variables.

Graphs of proportional relationships are straight lines through the origin (0,0).

How can you determine if two situations are proportional?

Example:

1. Classroom A has a 4 to 3 ratio of girls to boys. Classroom B has a ratio of 12 to 10. Is the situation between girls to boys in these two classrooms proportional?

2. Plane A traveled 625 miles in 4 hours. Plane B traveled 1250 miles in 8 hours. Is the rate between the two planes proportional?

3. Cineplex A is offering a 5-movie pass for $28. Cineplex B is offering an 8-movie pass for $45. Is the rate between the two Cineplex theaters proportional?

Students will learn how if two quantities are proportional to each other or not, when given a table or or by creating a table.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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