Ratios and Proportional Relationships

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- Analyze proportional relationships and use them to solve real-world and mathematical problems.

# Analyze proportional relationships and use them to solve real-world and mathematical problems.

### Lessons for this standard

Resources cannot be aligned to this standard, browse sub-standards to find lessons.

### Related standards

- This standard is part of: M.7.RP
- This standard is derived from: CCSS.Math.Content.7.RP.A

#### More specific sub-standards

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

recognize and represent proportional relationships between quantities.

use proportional relationships to solve multistep ratio and percent problems.

#### Similar standards in other grades

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. (e.g., “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.”)

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. (e.g., “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”)

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

Make tables of equivalent ratios relating quantities with whole number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

#### Similar standards elsewhere

Analyze proportional relationships and use them to solve real-world and mathematical problems.

Analyze proportional relationships and use them to solve real-world and mathematical problems.

Analyze proportional relationships and use them to solve real-world and mathematical problems.