Proportions and Scale Drawings Textbook Pages 430-435.

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Presentation transcript:

Proportions and Scale Drawings Textbook Pages

Objective I can solve scale drawing problems using proportions.

Vocabulary Scale Drawing: is the same shape but not the same size. A map is a scale drawing. The units are very important. Scale: tells us how the drawings dimensions and the actual dimensions are related. (Ratio) The standard way to write the scale is scale model to actual object or scale:actual

Interpreting Scale Drawing 3 inches The scale is 1 in. : 5ft Find the actual length of the canoe. 1in 3 in. 5ft ?ft What did you do to 1 to get to 3. Multiplied by 3. So multiply 5 by 3 to get 15 ft.

Try some! The scale of a drawing 2 in.: 6m Length of the drawing = 8in. Length of object = __________ Length of object = 36 m Length of drawing = __________

Word Problems You are building a model boat with a scale of 1 in.:2ft. The actual boat is 18 feet long. How long should you make your model? 9 inches

Using it to find area and perimeter. A scale drawing of this classroom is 2cm by 3 cm. The scale is 1cm:2m. What is the area of the classroom?

Draw a diagram Using the scale model 1in.:10ft, make a scale drawing of a 30ft by 40 foot dance floor. You should have a 3in by 4 in drawing Use your drawing to find the actual distance from opposite corners. If you measured on your scale drawing you would find it to be 5 inches. Using the scale it would convert to 50 ft.

Finding the scale! A museum is creating a full sized T-Rex from a model. The model is 40 inches in length. The resulting dinosaur will be 40 feet tall in length. What is the models scale? Write a ratio. Make sure both measures are in inches. Then simplify. 40in =40 in 40 ft 480 in The model scale is 1:12

Try some: Find the model scale: 5in 2ft 5/24 1ft 8yd 1/24

Practice Workbook Pages Even