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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.

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.

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