Day 78: Understand Rates and Unit Rates

Students in Math 6 and Math 6+ worked with Lesson 5.5: Understand Rates and Unit Rates. This lesson lends itself well to shopping and having students understand what they, or their parents, are paying for an item in the store.

A rate is a special type of ratio that compares two quantities with unlike units of measure, and that unit rates compare a quantity to one unit of another quantity. 

Lesson Objective:

• 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. 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." (6th)
• 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? (6th)