Scale Drawings & Scale Factor

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Scale Drawings and Scale Models

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Presentation transcript:

Scale Drawings & Scale Factor

Ratio A ratio is a comparison of two quantities

Scale A scale is a ratio between two sets of measurements. Examples: Drawings: ¼ inch = 1 foot Maps: 1 inch = 250 miles

Scale Drawing (Model) A scale drawing (model) is a drawing that uses a scale to make an object smaller than (reduction) or larger than (enlargement) the real object.

Scale Factor A scale factor is a ratio used to enlarge or reduce similar figures. Examples: enlarging a piece of candy for a drawing…or the Willy Wonka Factory…

The lengths and widths of objects of a scale drawing or model are proportional to the lengths and widths of the actual object.

Practice Problems

A set of landscape plans shows a flower bed that is 6. 5 inches wide A set of landscape plans shows a flower bed that is 6.5 inches wide. The scale on the plans is 1 inch = 4 feet. What is the width of the actual flower bed? What is the scale factor? 26 feet 1/48

What is the scale factor? The central chamber of the Lincoln memorial, which features a marble statue of Abraham Lincoln, has a height of 60 feet. Suppose a scale model of the chamber has a height of 4 inches. What is the scale of the model? Write a ratio of the height of the model to the actual height of the statue? What is the scale factor? 60ft 4in 15ft 1in 1 inch = 15 feet 1/180

Antonio is designing a room that is 20 feet long and 12 feet wide Antonio is designing a room that is 20 feet long and 12 feet wide. Make a scale drawing of the room. Use the scale 0.25 inches = 4 feet. STEP 1: Find the room’s length on the drawing (let x = length) STEP 2: Find the room’s width on the drawing (let w = width) 20 x 4 .25 Length = 1.25 inches = 12 x 4 .25 Width = .75 inches =

STEP 3: Make a drawing. Assume the grid below is ¼ inch grid paper.