1. Creating Multiple Proportions Wednesday, November 18, 2015 We are learning to…solve problems that involve proportional reasoning.

2. Vocabulary Review: What is a ratio? A comparison of two quantities, usually written in the form of a fraction in simplest form. What is a proportion? Two ratios set equal to one another.

3. Creating Multiple Proportions Ted eats 6 pancakes in 2 days. How many days will it take Ted to eat 15 pancakes? Table:Proportion: DaysPancakes 26 x15 (15)

4. Creating Multiple Proportions Insert that missing value into your table. DaysPancakes 26 515 “Prove that you have created equal ratios.” “Is there only one proportion that you could have created to solve this problem?”

5. Creating Multiple Proportions DaysPancakes 26 515 “What about creating proportions from data vertically in the table?” DaysPancakes 26 x15 This is one proportion! Solve this proportion! (2)

6. Creating Multiple Proportions We know we can make proportions horizontally and vertically using the table…what about diagonally? DaysPancakes 26 515 1. Do these make equal ratios? 2. Can we make a true proportion? 3. Can we use this to help us find a solution? Why or why not? We cannot use these ratios to help us solve because they do not create equal ratios (proportions). Why does this comparison not give us a proportion?

7. Creating Multiple Proportions Practice: Regina sells 4 candy bars every 5 hours. How long will it take her to sell 16 candy bars? HoursCandy Bars 54 x16 Your job: Create and solve TWO different proportions that could be used to find the solution in this problem situation. Be ready to share with the class.