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SIZING UP SCALE

SIZING UP SCALE. CREATED BY KRISTINE VESTER MATHSCIENCE INNOVATION CENTER. Where do you want to live?. Determining Room Size. Length. How big is this apartment? What are the measurements of the bathroom?. width. “The Cape” Reflections of West Creek Apartments. 0 of 32. 20.

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SIZING UP SCALE

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  1. SIZING UP SCALE CREATED BY KRISTINE VESTER MATHSCIENCE INNOVATION CENTER

  2. Where do you want to live?

  3. Determining Room Size Length • How big is this apartment? • What are the measurements of the bathroom? width “The Cape” Reflections of West Creek Apartments

  4. 0 of 32 20 What is the length and width of the bathroom? • 11 ft by 13 ft • 11 ft by about 6 ft • 9.4 ft by 5.8 ft • 11 ft by 5 ft

  5. Ba-ila Settlement

  6. Where do I live? Chief slaves animals storage the Chief’ssiblings

  7. 32 10 Seconds Remaining 0 Which do you need in order to find the size of the settlement? • The number of people living there. • How much food they eat. • The number of animals living in the village. • A measurement of something within the village.

  8. Measure the following lengths in millimeters • The distance from the Chief’s altar to the Chief’s entrance. • Distance from the Chief’s entrance to the settlement’s entrance. • Distance from the back hut’s entrance and the settlement’s entrance. • Isthere any relationship between the three measurements?

  9. What relationship did you see?

  10. Find the following measurements.

  11. Scale We can utilize the scale ratio to find the missing measurement. It is the ratio of the size of the drawing to the actual size of the object.

  12. Why is Scale important? • Used by professionals (i.e.: builders, architects and plumbers) • Scale Factor: How much an object is increased or decreased by.

  13. How tall is Robert Wadlow? How about now? 8 ft 11 inches Scale: gives you an idea of how big an object is.

  14. Ba-ila Settlement

  15. Where do I live? Chief slaves animals storage the Chief’ssiblings

  16. Where do the Slave’s Living Quarters Begin? Let’s Test What We Have Learned About Scale.

  17. What we do know!!! The larger huts > 12 meters in width. The smallest huts < 3 meters wide. The distance from the entrance of the settlement to the entrance of the back hut is 60 meters. You will have to walk 20 meters into the village before you arrive at any slave’s living areas. But Which Way?

  18. How would you describe this picture?

  19. Sierpinski’s Triangle No matter how much you zoom, you still get the same picture.

  20. Another Example of Zooming.

  21. Is this similar?

  22. Village Characteristics • Scale: Even though you change the scale, the design stays the same when you zoom in and out.

  23. How would you describe this picture?

  24. Village Characteristics • Scale: Even though you change the scale, the design stays the same when you zoom in and out. • Recursion: Repeating the same step.

  25. Similarity? What’s the repeating pattern?

  26. Are they similar? YES NO

  27. Answer Now 0 of 32 Are they similar? Why or why not? • No, they are not the same size. • Yes, they are the same shape, but not the same size. • No, they are the same shape, but not the same size. • Yes, they are the same color.

  28. Is it self-similar? YES NO

  29. 0 of 32 Is it self-similar, why or why not? • Yes, it is made up of shapes. • No, the inside shapes don’t build the outside shape. • Yes, the inside shapes are similar to the whole shape. • No, it doesn’t look the same.

  30. Self-Similarity? Similarity?

  31. Ba-ila Settlement Growth

  32. Village Characteristics Charateristics of Fractals • Scale: Even though you change the scale, the design stays the same when you zoom in and out. • Recursion: Repeating the same step. • Self-similar: The parts are the same as the whole.

  33. What do they have in common?

  34. Bamileke Settlement

  35. In which order will the settlement develop? A B C

  36. 0 of 32 In which order will the settlement develop? • A, B, C • A, C, B • B, A, C • B, C, A • C, A, B • C, B, A C B A

  37. Bamileke Settlement

  38. Let’s Look at Some Fractals

  39. Which ones are fractals? B A C

  40. Which ones are fractals? • A, B • A, C • B, C • A, B, C • None of them

  41. Which ones are fractals? B A C

  42. Answer Now 0 of 32 Which ones are fractals? • All of them • A, B • A, C • A • B • D • None of them

  43. Why is this important? Using Fractal Technology, we are able to create more realistic pictures. Which part of this scenery is a fractal?

  44. THANK YOU !!!

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