1. Solving Proportions by Creating Equivalent Ratios Wednesday, October 07, 2015 We are learning to…use proportional reasoning to solve problem situations.

2. Recording Information in a Table Today as you work with your group try to organize your information in the form of a table. This will help you stay more organized and help you to see the relationships in the problems. For example: Reggie throws away 6 pounds of trash in 4 days. How many pounds of trash does Reggie throw away in 38 days? Days LBS of Trash 4 6 38 x

3. Writing Ratios Ratio – a comparison of two quantities, which is often written as a fraction. Ratios should be written as fractions in simplest form. From the last example: DaysLBS of Trash 46 38x So one ratio (comparison) we can write is:

4. Finding Solutions by Creating Equivalent Ratios Find the missing value in our problem by creating equivalent ratios (comparisons). “What would I have to multiply or divide by in order for 2 to become 38?” (19) So then, x = 3(19) …this means in 38 days Reggie will throw away 57 pounds of trash. or x = 57…

5. Practice Problem #1 Brianna reads 6 books in 14 days. At this rate how many books will she read in 63 days? Table:Ratio:Solution: BooksDays 614 x63 (9) Brianna will read 27 books in 63 days at this rate.

6. Practice Problem #2 Carl rides his skateboard 32 miles in 12 hours. At this rate how long will it take Carl to ride his skateboard 18 miles? Table:Ratio:Solution: MilesHours 3212 18x (2 1 / 4 ) It will take Carl 6 and ¾ hours to ride his skateboard 18 miles. (2 1 / 4 ) 18/8 = 2 1 / 4