Scale Drawings and Scale Drawings and ModelsModels

SWBAT use proportions to solve scale-SWBAT use proportions to solve scale-drawing and scale-model problems; drawing and scale-model problems;

use a map scale; use a scale factor to use a map scale; use a scale factor to make a scale modelmake a scale model

DiscussDiscuss

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

What is a scale factor?What is a scale factor?

DefinitionsDefinitions

Scale drawing Scale drawing A two dimensional drawing that is in proportion to an A two dimensional drawing that is in proportion to an

actual drawing actual drawing

Scale Scale Gives the ratio of the pictured measure to the actual Gives the ratio of the pictured measure to the actual

distance distance

Scale model Scale model A three dimensional object that accurately represents A three dimensional object that accurately represents

a real world objecta real world object

Scale factor Scale factor A scale ratio written in simplest form A scale ratio written in simplest form

ExamplesExamples

Turn to page 158 in your textbookTurn to page 158 in your textbook The scale of the given map is 1 in = 112 milesThe scale of the given map is 1 in = 112 miles Measure the distance from Orlando to NaplesMeasure the distance from Orlando to Naples Measure the distance from Tampa to DaytonaMeasure the distance from Tampa to Daytona Measure the distance from St. Petersburg to Measure the distance from St. Petersburg to

Cape KennedyCape Kennedy Measure the distance from Naples to Daytona Measure the distance from Naples to Daytona

BeachBeach

ExamplesExamples

What is the length of an actual hallway What is the length of an actual hallway that measures 2.5 cm on a scale drawing? that measures 2.5 cm on a scale drawing?

The scale is 1cm = 3 mThe scale is 1cm = 3 m

Try ThisTry This

A scale drawing of a pentagonal building A scale drawing of a pentagonal building measure 6cm on each side. The scale measure 6cm on each side. The scale used is 1cm = 5.5 m. How long is each used is 1cm = 5.5 m. How long is each side of the building? side of the building? _1_ _1_ = = _6__6_

5.5 x5.5 x x = 33mx = 33m