Creating Unit Rates Using Diagrams

This lesson teaches how to create unit rates using diagrams. It begins with an introduction to unit rates, explaining that a unit rate compares a quantity to one of another quantity. The lesson highlights common mistakes, such as assuming only one unit rate exists. Using the example of decorating cookies, the lesson demonstrates how to calculate two unit rates: cookies per minute and minutes per cookie. The importance of recognizing both unit rates is emphasized, and diagrams are used to visualize the process. The lesson concludes by reinforcing the concept of creating unit rates with diagrams.

What is a unit rate?

• A rate comparing two different quantities

• A rate where a quantity is compared to one of another quantity

• A rate that is always greater than one

• A rate that cannot be reduced

In the example of running, what are the two possible unit rates for 20 minutes per 2 miles?

• 5 minutes per mile and 1/5 mile per minute

• 15 minutes per mile and 1/15 mile per minute

• 10 minutes per mile and 1/10 mile per minute

• 20 minutes per mile and 2 miles per minute

How many cookies does Annie decorate per minute?

• 4 cookies per minute

• 2 cookies per minute

• 1 cookie per minute

• 3 cookies per minute

How long does it take Annie to decorate one cookie?

• 1/3 minute per cookie

• 1/2 minute per cookie

• 1 minute per cookie

• 2 minutes per cookie

Why is it important to identify both unit rates for a given rate?

• Because it allows for more accurate calculations

• Because every rate has two unit rates

• Because it is required by mathematical rules

• Because it helps in understanding the rate better