Learning Domain: Ratios and Proportional Relationships

Standard: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

Learning Domain: Ratios and Proportional Relationships

Standard: 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.

Learning Domain: Ratios and Proportional Relationships

Standard: Use ratio and rate reasoning to solve real-world and mathematical problems.

Learning Domain: Ratios and Proportional Relationships

Standard: Solve unit rate problems including those involving unit pricing and constant speed.

Learning Domain: Ratios and Proportional Relationships

Standard: Compute unit rates, including those involving complex fractions, with like or different units.

Learning Domain: Ratios and Proportional Relationships

Standard: Recognize and represent proportional relationships between quantities.

Learning Domain: Ratios and Proportional Relationships

Standard: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "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."ť "For every vote candidate A received, candidate C received nearly three votes."ť

Learning Domain: Ratios and Proportional Relationships

Standard: Understand the concept of a unit rate a/b associated with a ratio a:b with b ‰äĘ 0 (b not equal to zero), and use rate language in the context of a ratio relationship. For example, "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." (Expectations for unit rates in this grade are limited to non-complex fractions.)

Learning Domain: Ratios and Proportional Relationships

Standard: 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.

Learning Domain: Ratios and Proportional Relationships

Standard: Solve unit rate problems including those involving unit pricing and constant speed. For example, If it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

Learning Domain: Ratios and Proportional Relationships

Standard: Compute 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.

Learning Domain: Ratios and Proportional Relationships

Standard: Recognize and represent proportional relationships between quantities.

Cluster: Understand ratio concepts and use ratio reasoning to solve problems

Standard: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “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.”

Cluster: Understand ratio concepts and use ratio reasoning to solve problems

Standard: Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0 (b not equal to zero), and use rate language in the context of a ratio relationship. For example, "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." (Expectations for unit rates in this grade are limited to non-complex fractions.)

Cluster: Understand ratio concepts and use ratio reasoning to solve problems

Standard: 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.

Cluster: Understand ratio concepts and use ratio reasoning to solve problems

Standard: Solve unit rate problems including those involving unit pricing and constant speed. For example, If it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

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

Standard: Compute 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.

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

Standard: Recognize and represent proportional relationships between quantities.