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Day 2 scale drawings

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  • 1. Scale Figures On Core.notebook April 09, 2013 AIM: Scale Do Now A A, C, and E B B, C, and D C B, E, and F D A, B, and E 1
  • 2. Scale Figures On Core.notebook April 09, 2013 A blueprint is a technical drawing that usually displays architectural plans. Petes blueprint shows a layout of a house. Every 4 inches in the blueprint is 3 feet in the actual house. One of the walls in the blueprint is 24 inches long. What is the actual length of the wall? 16in 24in A.) Complete the table to find the actual length of the wall. Blue  4 8 12 16 20 24 Print (in) Actual  3 6 length(ft) 2
  • 3. Scale Figures On Core.notebook April 09, 2013 1a. In Petes blueprint the 1b. The back wall of the house is 33feet long. What length of a side wall is 16 is the length of the back inches. Find the actual length wall in the blueprint? of the wall 1c. How do you know your answer to 1b is reasonable? 3
  • 4. Scale Figures On Core.notebook April 09, 2013 A Scale drawing is a proportional two-dimensional drawing of an object. Scale drawings can represent objects that are smaller or larger than the actual object. 4
  • 5. Scale Figures On Core.notebook April 09, 2013 • A Scale is a ratio between 2 sets of measurements. It shows how dimensions in a scale drawing is related to the actual object. • Scales are usually shown as two numbers separated by a colon such as 1:20 or 1cm:1m. Scales can be shown in the same unit or different units. • You solve scale-drawings problems by using PROPORTIONAL REASONING 5
  • 6. Scale Figures On Core.notebook April 09, 2013 10cm The figure at the right is a scale drawing of a large 7cm rectangular room. What is the are of the actual room? 2cm = 5m a.) Find the number of meters represented Scale by 1cm in the drawing. 1cm in this drawing is equal to ____m in the actual room. 6
  • 7. Scale Figures On Core.notebook April 09, 2013 10cm The figure at the right is a scale drawing of a large 7cm rectangular room. What is the are of the actual room? 2cm = 5m b.) Find the actual length of the room Scale labeled 7cm in the drawing. The length of the side labeled 7 cm represents _____m. 7
  • 8. Scale Figures On Core.notebook April 09, 2013 10cm The figure at the right is a scale drawing of a large 7cm rectangular room. What is the are of the actual room? 2cm = 5m c.) Find the actual length of the room Scale labeled 10cm in the drawing. The length of the side labeled 10 cm represents _____m. 8
  • 9. Scale Figures On Core.notebook April 09, 2013 10cm The figure at the right is a scale drawing of a large 7cm rectangular room. What is the are of the actual room? 2cm = 5m Since are is length times width, the area of the actual room is: _____m X ______ m = ______ m2 9
  • 10. Scale Figures On Core.notebook April 09, 2013 2a.) Find the length and width of the actual room, then find the area of the room. Round your answer to the nearest tenth. 6.5in 5in 3in:8ft 2b.) How can you solve 2 without having to determine the number of meters represented by 1cm?. 10
  • 11. Scale Figures On Core.notebook April 09, 2013 In the scale drawing, assume the rectangle is drawn on centimeter grid paper. The scale is 1cm:3m. y x Suppose you redraw the rectangele on a centimeter grid paper using the scale of 1cm:6m. In the new scale, 1cm represents more than/less than 1cm in the old scale The measurement of each side of the new rectangle will be twice/half as long as the measurement of the original rectangle. 11
  • 12. Scale Figures On Core.notebook April 09, 2013 B.) Draw the rectangle for the new scale 1cm:6m. y x 3a.) Find the actual length of each side of your original drawing using the old scale, 1cm = 3m. Find the actual length of each side of your new drawing using the new scale. How do you know your answers are correct? 12
  • 13. Scale Figures On Core.notebook April 09, 2013 Homework On Core Page 92 #1-4 all 13