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Ratios, Rates, Proportions . Ratios (comparing numbers). Express the ratio 21 in to 4 ft as a simple fraction. (Don’t forget to change to common units of measurement.) 21 in = 21 in = 4 ft 48 in . Unit Rates (one in the denominator).
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Ratios(comparing numbers) Express the ratio 21 in to 4 ft as a simple fraction. (Don’t forget to change to common units of measurement.) 21 in = 21 in = 4 ft 48 in
Unit Rates(one in the denominator) A big box of Froot Loops cost $5.49 for 32 oz of cereal. A small box of Froot Loops cost $3.70 for 24 oz of cereal. Compare unit rates to find the better buy. $5.49 or $3.70 32 oz 24 oz
Proportions(2 equal fractions) 1. My phone company charges $0.10 per min. I am charged $5.75. How minutes was I yapping on the phone? $0.10 = $5.76 1 min x • Carpets come in 2 sizes. The ratio of the 2 rugs 4:1. The big carpet is 10 ft by 14 ft. What are the dimensions of the little rug? 4 = 10 4 = 14 1 x 1 y
Scale Drawings(just more of the 2 equal fraction stuff) On a scale drawing, the scale says 0.25 in:1 ft. What are the dimensions of a room that are 8 ft by 24 ft? 0.25 in = x0.25 in = y 1 ft 8 ft 1 ft 24
Finding a Scalefor a Model A building in Tokyo is 256 feet tall. A model of the building is just 4 in tall. What is the scale used to make the model building? 4 in = 1 in 256 ft x
Similar Polygons(angles are congruentsides are proportional Find the value for x for the similar polygons. x 16 3 12
Similar Triangle Stories A surveyor designs a bridge to go over a lake using similar triangles. Find the length of the bridge. 25 x 4 3 5
Perimeter and Similar Triangles There are 2 similar triangles in the ratio of 1:2. If the dimensions of the sides of triangle A are 10 ft, 10 ft, and 25 ft. What is the perimeter of triangle B? 1 = 45 ft 2 x
Area and Similar Triangles There are 2 similar triangles in the ratio of 1:2. If the base of Triangle A is 10 inches and the altitude is 8 inches. What is the area of Triangle B. 1 = 40 sq in 4 x