HW: Solving Proportion Word Problems Wkst Tuesday, 1/17/17 Write the IC and HW in your planner. IC: Ch. 5 – Day 16 HW: Solving Proportion Word Problems Wkst Materials Extra Credit to turn in Math folder Slate, marker, eraser Planner, pencil 1 1 1 1

Bellwork It will rain ½ an inch per hour. inch = hour 1 It rained one-eighth of an inch in one-quarter of an hour on Saturday. If it rains at the same rate, how much rain will fall in one hour? It will rain ½ an inch per hour. inch = 1 hour

Bellwork Mike’s car travels 17 miles on one gallon of gas and Jen’s car travels 20 miles on one gallon of gas. How many miles can Mike go if he has 10 gallons left in his gas tank? 1) What two units are you comparing? Write a fraction with words showing the two units of measure being compared. 2) What is the distracter number? What information is extra that you don’t need? 3) Write a proportion that can be used to solve the problem.

Bellwork Ariana has gotten 8 hits, 9 strike outs, and 3 walks during her last 20 times at bat. How many times would you predict that she needs to be at bat in order to get 24 hits and tie her sister’s record? 1) What two units are you comparing? Write a fraction with words showing the two units of measure being compared. 2) What is the distracter number? What information is extra that you don’t need? 3) Write a proportion that can be used to solve the problem.

Example 1: Naomi shoots 15 free throws and makes 9 of them. If she stays consistent, how many free throws would you expect her to make out of 20 shots? (20) (20) 1

Example 1: Naomi shoots 15 free throws and makes 9 of them. If she stays consistent, how many free throws would you expect her to make out of 20 shots? The last step is to set up the proportion with your answer and see if it makes sense! If it started as a proper fraction, does my answer make it a proper fraction? Yes If they are easily reduced are they proportional? Yes

Example 2: The school swim team has 120 swimmers. The ratio of seventh-grade swimmers to all swimmers is 8:16. Write and solve a proportion that gives the number of seventh-grade swimmers. (120) (120) 1

Example 2: The school swim team has 120 swimmers. The ratio of seventh-grade swimmers to all swimmers is 8:16. Write and solve a proportion that gives the number of seventh-grade swimmers. The last step is to set up the proportion with your answer and see if it makes sense! If it started as a proper fraction, does my answer make it a proper fraction? Yes If they are easily reduced are they proportional? Yes

Example 3 Congratulations! You have won a trip to Australia. You were also given $500 spending money. You need to exchange your money for Australian money. On the current exchange, it says the rate is $1 US to $1.43 Australian. How much Australian money will you get?

Example 3 Congratulations! You have won a trip to Australia. You were also given $500 spending money. You need to exchange your money for Australian money. On the current exchange, it says the rate is $1 US to $1.43 Australian. How much Australian money will you get? The last step is to set up the proportion with your answer and see if it makes sense! If it started as a proper fraction, does my answer make it a proper fraction? Yes If you turn the ratio on the right to a unit rate, does it give you the ratio on the left? Yes

Example 3 Now before you get too excited and just decide to move to Australia permanently… $5.99 in the US $2.50 in the US

Sample exchange table from 1.8.16

Slates! (300) (300) 1 There are 140 cats at the Humane Society. (300) (300) 1 There are 140 cats at the Humane Society. Now substitute back into the proportion you set up and write a sentence or two about whether or not you answer makes sense.

Closure Mrs. Thompson is out today and she’s going to ask what we learned. Write the process we have learned to solve word problems with proportional relationships. What are the steps?

Proportion Word Problems! (Gotta love ‘em!) Date ______________ Proportion Word Problems! (Gotta love ‘em!) Objective: TSWBAT write & solve a proportion for given word problem situations. 15 15 15 15

Example 1: Naomi shoots ___ free throws and makes 9 of them. If she stays consistent, how many free throws would you expect her to make out of 20 shots?

Example 2: The school swim team has 120 swimmers. The ratio of seventh-grade swimmers to all swimmers is _______. Write and solve a proportion that gives the number of seventh-grade swimmers.

Example 3 Congratulations! You have won a trip to Australia. You were also given $_____ spending money. You need to exchange your money for Australian money. On the current exchange, it says the rate is $1 US to $1.43 Australian. How much Australian money will you get?