Ratios and Proportions Shelby Ferreira. Ratios Comparison between two numbers Fractions = ratios Colon or fraction bar.

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Presentation transcript:

Ratios and Proportions Shelby Ferreira

Ratios Comparison between two numbers Fractions = ratios Colon or fraction bar

Relationship of Ratios and Fractions Lowest terms, same as fractions Leave as improper fraction Ex: Donna processed 68 patient records in a 4-hour shift. Write this quantity as a unit rate (unit rate= ratio reduced to lowest terms).

Analogy Comparison that involves 4 items man : boy :: woman : girl Examples: father : mother :: man : ________________ eagle : ________________ :: beagle : doghouse water : liquid :: ________________ : solid ________________ : foot :: finger : hand

Proportion Analogy in number form Colon or fraction bar Cross multiplying must reveal equivalency Ex: Is this following proportion true? Why or why not? 18:3 :: 72:12 Ex: 39/x = 13/14. Solve for x. Ex: If the trip from Boston to Chicago is 1000 miles, how long will it take to drive at 55mph?

In-Class Exercises 1: Theo wants to use a cookie recipe that makes 36 cookies but he wants to reduce the number of cookies to 24. If the recipe specifies using 2 cups of sugar, how much sugar should he use? 2: Rita traveled 1,250 miles in the first 3 days of her trip. At this rate, how long will it take her to travel 1,875 miles? 3: An architect built a model of a 220-foot tall building he is designing. The model is 25 inches tall and 10 inches wide. How wide is the actual building? 4: Last month, Hao’s dog ate 40 cans of dog food in 31 days. How many cans should Hao buy to feed his dog for the next 6 days?