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4.6 Maps and scale drawings

Learn how to apply proportions to solve scale problems with scale drawings. Find actual object lengths using ratios. Discover the key to scale maps and models. Practice assignments included.

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4.6 Maps and scale drawings

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  1. 4.6 Maps and scale drawings I can use proportions to solve problems involving scale.

  2. Scale • Ratio that compares the length in a drawing or model to the corresponding length of the actual object. • A scale drawing is an enlarged or reduced drawing of an object that is proportional to the size of the actual object

  3. Using a Scale Drawing • The length of the side of a house is 3 cm in a scale drawing. If the scale is , what is the actual length of the side of the house? • Notice same units in the top and same units in the bottom • Cross multiply: 1n = 2.5(3) • Simplify: n = 7.5 • The side of the house is 7.5 m

  4. Finding the Scale of a Model • The actual length of a boxcar is 609 in. What is the scale of the model shown? • Write a ratio • Write in simplest form

  5. Writing • You want to make a scale model of a sailboat that is 51 ft long and 48 ft tall. You plan to make the model 17 in long. Explain how you would find the height of the model and give the answer.

  6. Maps • The scale of a map is called the key. • So every in on the map represents actual miles. • Find the distance represented by 1 in.

  7. Assignment • ALL • P.160 # 7-15, 23

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