Scale Drawings.

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Scale Drawings and Scale Models

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Scale Drawings

Scale – The ratio that compares the measurements of the real object and its model. EX: 1 in = 6 ft Scale factor – written as a ratio without measurements and in simplest form EX: the scale factor of 1 in = 6 ft is 1/72

EX1) EX2) Identify the scale factor. Actual Model Length (in.) 12 2 Wing span (in.) 18 3 EX1) model length actual length 2 12 = Write a ratio using one of the dimensions. 1 6 = Simplify. EX2) The scale is 1 inch = 3 feet. What is the scale factor? To eliminate units convert 3 feet to inches. Conversion factor is 1 foot = 12 inches 1 inch 3 feet 1 inch 36 inches = 1 36 =

EX3) = = Find the Scale Factor from the following shape small large original Model original small Model large 3 3 12 12 3 Model = 12 Model = 12 Original 3 Original 1 4 Scale factor = Scale factor = 4 1

EX4) A photograph was enlarged and made into a poster. The poster is 20.5 inches by 36 inches. The scale factor is 5 . Find the size of the photograph. 1. Draw a picture. 2. poster 20.5 Write a proportion to find the length l and width w. photo w l 36 3. Solve the proportion. poster photo 5 1 36 l poster photo 5 1 20.5 w Think: = = = = 36 X 1= 36 20.5 X 1= 20.5 36 ÷ 5 = 7.2 20.5 ÷ 5 = 4.1

Notes start here

assignment Page 313 Problems 1-6

Date _______ Scaling Drawings

Scale – The ratio that compares the _________________ of the _____ object and its _______. EX: 1 in = 6 ft Scale _______ – written as a ratio _______ measurements and in ________________ EX: the scale factor of 1 in = 6 ft is _______

EX1) EX2) Identify the scale factor. Actual Model Length (in.) Wing span (in.) model length actual length = Write a ratio using one of the dimensions. = Simplify. EX2) The scale is 1 inch = 3 feet. What is the scale factor? To eliminate units convert 3 feet to inches. Conversion factor is __________________ 1 inch 3 feet = =

EX3) = = Find the Scale Factor from the following shape small large original Model original small Model large 3 3 12 12 Model = Model = Original Original Scale factor = Scale factor =

EX4) A photograph was enlarged and made into a poster. The poster is 20.5 inches by 36 inches. The scale factor is . Find the size of the photograph. 5 1 1. 2. 3. poster photo Think: