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Objective:. Students will find the actual length from a scale drawing (8-3). Vocabulary. Scale drawing- a drawing that is similar but is either larger or smaller than the actual object. Steps. Read the problem carefully. Write down the problem. Set up your proportions.
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Objective: Students will find the actual length from a scale drawing (8-3)
Vocabulary • Scale drawing-a drawing that is similar but is either larger or smaller than the actual object.
Steps • Read the problem carefully. • Write down the problem. • Set up your proportions. • Solve as you would proportions.
Examples Suppose a dinosaur had a scale of 1 inch = 20 feet. If the length of the dinosaur on the drawing is 2 inches, what is the actual length? L = actual length of dinosaur
Examples Suppose a dinosaur had a scale of 1 inch = 20 feet. If the length of the dinosaur on the drawing is 2 inches, what is the actual length? L = actual length of dinosaur Scale length of draw. 1 in. actual length 20 ft.
Examples Suppose a dinosaur had a scale of 1 inch = 20 feet. If the length of the dinosaur on the drawing is 2 inches, what is the actual length? L = actual length of dinosaur Scale Dinosaur length of draw. 1 in.2 in. length in draw. actual length 20 ft. L actual length
Examples Suppose a dinosaur had a scale of 1 inch = 20 feet. If the length of the dinosaur on the drawing is 2 inches, what is the actual length? L = actual length of dinosaur Scale Dinosaur length of draw. 1 in.2 in. length in draw. actual length 20 ft. L actual length 1 x L = 20 x 2 Find the cross products
Examples Suppose a dinosaur had a scale of 1 inch = 20 feet. If the length of the dinosaur on the drawing is 2 inches, what is the actual length? L = actual length of dinosaur Scale Dinosaur length of draw. 1 in.2 in. length in draw. actual length 20 ft. L actual length 1 x L = 20 x 2 Find the cross products L = 40 Multiply The actual length of the dinosaur was 40 ft. or 480 in.
Examples Suppose a drawing of a dinosaur had a scale of 1 in. = 18 ft. If the height of the dinosaur at the hips is ½ in., what is the actual height at the hips? h = actual height of the dinosaur at the hips
Examples Suppose a drawing of a dinosaur had a scale of 1 in. = 18 ft. If the height of the dinosaur at the hips is ½ in., what is the actual height at the hips? h = actual height of the dinosaur at the hips Scale height of draw. 1 in. actual height 18 ft.
Examples Suppose a drawing of a dinosaur had a scale of 1 in. = 18 ft. If the height of the dinosaur at the hips is ½ in., what is the actual height at the hips? h = actual height of the dinosaur at the hips Scale Dinosaur height of draw. 1 in.1/2 in. height in draw. actual height 18 ft. H actual height
Examples Suppose a drawing of a dinosaur had a scale of 1 in. = 18 ft. If the height of the dinosaur at the hips is ½ in., what is the actual height at the hips? h = actual height of the dinosaur at the hips Scale Dinosaur height of draw. 1 in.1/2 in. height in draw. actual height 18 ft. H actual height 1 x h = 18 x ½ Find the cross products
Examples Suppose a drawing of a dinosaur had a scale of 1 in. = 18 ft. If the height of the dinosaur at the hips is ½ in., what is the actual height at the hips? h = actual height of the dinosaur at the hips Scale Dinosaur height of draw. 1 in.1/2 in. height in draw. actual height 18 ft. H actual height 1 x h = 18 x ½ Find the cross products h = 9 Multiply The actual height of the dinosaur at the hips was 9 ft. or 108 in.
Examples In 1936, a meat company first produced a vehicle shaped like a hot dog. The 1995 version of the vehicle is 8 ft. wide and 27 ft. long. If a scale model is built with a width of 4 in., what will be the length? L = length of the model
Examples In 1936, a meat company first produced a vehicle shaped like a hot dog. The 1995 version of the vehicle is 8 ft. wide and 27 ft. long. If a scale model is built with a width of 4 in., what will be the length? L = length of the model Model width of model 4in. actual model 8ft.
Examples In 1936, a meat company first produced a vehicle shaped like a hot dog. The 1995 version of the vehicle is 8 ft. wide and 27 ft. long. If a scale model is built with a width of 4 in., what will be the length? L = length of the model Model Actual Vehicle width of model 4in.L length of model actual model 8ft. 27ft. actual length
Examples In 1936, a meat company first produced a vehicle shaped like a hot dog. The 1995 version of the vehicle is 8 ft. wide and 27 ft. long. If a scale model is built with a width of 4 in., what will be the length? L = length of the model Model Actual Vehicle width of model 4in.L length of model actual model 8ft. 27ft. actual length 4 x 27 = 8 x LFind the cross products
Examples In 1936, a meat company first produced a vehicle shaped like a hot dog. The 1995 version of the vehicle is 8 ft. wide and 27 ft. long. If a scale model is built with a width of 4 in., what will be the length? L = length of the model Model Actual Vehicle width of model 4in.L length of model actual model 8ft. 27ft. actual length 4 x 27 = 8 x L Find the cross products 108 = 8LMultiply
Examples In 1936, a meat company first produced a vehicle shaped like a hot dog. The 1995 version of the vehicle is 8 ft. wide and 27 ft. long. If a scale model is built with a width of 4 in., what will be the length? L = length of the model Model Actual Vehicle width of model 4in.L length of model actual model 8ft. 27ft. actual length 4 x 27 = 8 x L Find the cross products 108 = 8L Multiply 108 = 8LDivide 8 8 13.5 = L The length of the model is 13.5 in. or 1 1/8 ft.