A rate is a special ratio that compares two quantities measured in different units. It is a comparison of two different quantities. For example, miles per hour, price per pound, or words per minute are all examples of rates.

To calculate a rate, you need to divide one quantity by the other. The formula for calculating rate is:

**Rate = Quantity 1 / Quantity 2**

When expressing a rate, it is important to include the units. For example, if the rate is 60 miles per hour, both "miles" and "hours" should be included to indicate the units being compared.

A unit rate is a rate with a denominator of 1. It is often used to compare the prices of items. For example, if a 2-pound bag of rice costs $4, the unit rate is $2 per pound.

Rates can be used in proportions to solve problems. For example, if 3 gallons of juice cost $6, you can set up the proportion 3 gallons / $6 = x gallons / $12 to find the cost of 6 gallons.

Rates are used in many real-life situations, such as speed (miles per hour), unit pricing in stores, and performance measures like words per minute in typing or reading speed.

- Calculate the rate: 360 miles in 6 hours.
- Determine the unit rate: 15 apples for $6.
- Use a proportion to solve: If 5 shirts cost $75, how much would 8 shirts cost?

Study GuideNumbers and percents Worksheet/Answer key

Numbers and percents Worksheet/Answer key

Numbers and percents Worksheet/Answer key

Numbers and percents

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Work flexibly with fractions, decimals, and percents to solve problems.

Understand and use ratios and proportions to represent quantitative relationships.

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.