Concept Map By: Jennifer Hilderbrand

Objectives Understand the concept of a ratio, and use ratio language to describe a ratio relationship between two quantities Understand the concept of a unit rate a/b associated with a ration a:b, with b>0, ad use rate language in the context of a ratio relationship Use ratio and rate reasoning to solve real-world and mathematical problems

Scenario Johnny and Fred are the managers for their high school football team. The head coach of the team, Coach Grenade, fired last year’s managers because they didn’t know how to make the sports drink taste very good. It was always too sweet or too watery. The sports drink is made by mixing powder with water. Since the boys were just freshmen and they wanted to be managers next year, they decided to test some of their mixtures to see which ones the player liked the best.

The boys mixed up four different recipe combinations: Mix 1 1 cup powder 4 cups water Mix 4 3 cups powder 6 cups water Mix 2 2 cups powder 3 cups water Mix 3 3 cups powder 5 cups water

Put students in groups of two or four and have them work on the following two questions: Which mix will make the drink that is the sweetest? Explain. Which mix will make the drink that is the least sweet? Explain. Assume that each football player will drink 1 cup of sports drink. For each mix how much powder and how much water are needed to make the sports drink for 75 football players? Explain.

Lastly, students will create a concept map to present to the class on ratios.