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7-4 Scale Drawings p. 304-308

7-4 Scale Drawings p. 304-308. Indicator – M4 Solve problems involving scale factors. 7-4 Scale Drawings p. 304-308.

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7-4 Scale Drawings p. 304-308

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  1. 7-4 Scale Drawings p. 304-308 • Indicator – M4 Solve problems involving scale factors

  2. 7-4 Scale Drawings p. 304-308 • When actual distances are very far or small, they may be represented more conveniently with proportionally scale drawings or models. This process involves a scale (ratio) which is used to form a proportion. • A map is an example of a scale drawing. The scale on a map is the ratio of the distance on the map to the actual distance.

  3. 7-4 Notes A Scale Drawing/Model represents something that is too large or too small to be drawn/built at actual size. The Scale gives the relationship between the drawing/model measure and the actual measure. Scale Factor-is when you convert the scale to a common unit and simplify

  4. Scale factor • If the scale on a map is ¼ inch represents 1 foot, what is the scale factor? Step 1: Write the scale as a ratio scale¼in actual 1 ft Step 2 : Change to a common unit of measure scale¼in actual 12 in Step 3: Simplify 1/4 ÷ 12 1/4 x 1/12 = 1/48 the scale factor is 1/48 of the actual

  5. Tracy and Tyrone are planning a hiking trip. On the map, their route is 7.5 cm long. The map scale says that 1 cm represents 3 km. What is the actual length of their hike? Let d represent the hiking distance. Write and solve a proportion. Map distance  1 cm = 7.5 cm Actual distance  3 km = d 1 × d = 3 × 7.5 d = 22.5 The actual length 22.5 km. Example 1

  6. Example 2 The scale of a blueprint is 1 in. = 4 ft. If the actual width of a porch is 16 ft, what is the width on the blueprint? Let w represent the porch width. Write and solve a proportion. Blueprint width 1 in. = w_ actual width  4 ft = 16 ft 4 × w = 1 × 16 4w = 16 4 4 w = 4 The width of the blueprint is 4 inches. Cross-multiply Isolate the variable Write a sentence!

  7. On this map, each grid unit represents 50 yards. Find the distance from Patrick’s Point to Agate Beach.

  8. You Try • Find the scale factor of the scale 2cm = 1 m • A blue print is drawn so that ¼ in is 1 foot of the original size. If the actual kitchen is 14 feet long, how long will it appear on the print?

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