Scale Drawings and Models SWBAT use proportions to solve scale- drawing and scale-model problems; use a map scale; use a scale factor to make a scale model

Discuss What does it mean if a map is drawn to scale? What is a scale factor?

Definitions Scale drawing A two dimensional drawing that is in proportion to an actual drawing A two dimensional drawing that is in proportion to an actual drawingScale Gives the ratio of the pictured measure to the actual distance Gives the ratio of the pictured measure to the actual distance Scale model A three dimensional object that accurately represents a real world object A three dimensional object that accurately represents a real world object Scale factor A scale ratio written in simplest form A scale ratio written in simplest form

Examples Turn to page 158 in your textbook The scale of the given map is 1 in = 112 miles The scale of the given map is 1 in = 112 miles Measure the distance from Orlando to Naples Measure the distance from Orlando to Naples Measure the distance from Tampa to Daytona Measure the distance from Tampa to Daytona Measure the distance from St. Petersburg to Cape Kennedy Measure the distance from St. Petersburg to Cape Kennedy Measure the distance from Naples to Daytona Beach Measure the distance from Naples to Daytona Beach

Examples What is the length of an actual hallway that measures 2.5 cm on a scale drawing? The scale is 1cm = 3 m

Try This A scale drawing of a pentagonal building measure 6cm on each side. The scale used is 1cm = 5.5 m. How long is each side of the building? _1_ = _6_ _1_ = _6_ 5.5 x 5.5 x x = 33m x = 33m