8-1 R ATIOS AND P ROPORTIONS M11.C D Objectives: 1) To write ratios and solve proportions
V OCABULARY Ratio – a comparison of two quantities Written as 1. a to b 2. a : b Reading Math: You can read a : b as “the ratio a to b”
E XAMPLES : R EAL W ORLD C ONNECTIONS A scale model of a car is 4 inches long. The actual car is 15 feet long. What is the ratio of the length of the model to the length of the car?
V OCABULARY
P ROPERTIES OF P ROPORTIONS
C ROSS -P RODUCT PROPERTY
E XAMPLES : P ROPERTIES OF P ROPORTIONS
S OLVING P ROPORTIONS
S CALE D RAWING A scale compares each length in a drawing to the actual length. Example: Two cities are 3.5 inches apart on a map with the scale 1 in = 50 miles. Find the actual distance.