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# 5.04 Honors Extension Activity

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by

## Megan Peterson

on 13 January 2014

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#### Transcript of 5.04 Honors Extension Activity

5.04 Honors
Extension Activity
Megan Peterson
My object:
refrigerator
Construction on paper:
Transformations:

Rectangle a is a reflection of rectangle b.
Top left rectangle is A
Top right rectangle is B
Bottom rectangle is C
Ratio:
1:10
70/10 = 7
28/10 = 2.8
42/10 = 4.2
35/10 = 3.5
17.5 = 1.75
12/10 = 1.2
15/10 = 1.5
32/10 = 3.2
3/10 = 0.3
2.5/10 = 0.25
Materials:
Cardboard
Tape
Scissors
Pen
Ruler
Construction:

Finished Product:
Proof
(O = original object, M = model)
The O's width is 35” while the M's width is 3.5”. If you divide 35 by 3.5 it equals 10. The O's height is 70” while the M's height is 7”. 70 over 7 equals 10. The height and width both have the same ratio, and all rectangles have right angles, so the largest rectangle in O is similar to the largest rectangle in M.
Rectangle AO has a height of 42”, while rectangle AM has a height of 4.2”. If you divide 42 by 4.2 you get 10. Rectangle AO has a width of 17.5 and rectangle AM has a width of 1.75”. 17.5 over 1.75 equals 10. And since all rectangles have right angles, this means that rectangle AO is similar to rectangle AM. Also, rectangle BO is a reflection of rectangle AO, and the same with BM and AM, which means that rectangle BO is similar to rectangle AM.
Rectangle CO has a height of 28” and rectangle CM has a height of 2.8”, and when divided it equals 10. Rectangle CO has a width of 35” and rectangle CM has a width of 3.5”, and when div
Questions
What object did you choose to make a model of and why?
I chose to make a model of my refrigerator because it had many different shapes within it and I thought it would be cool to make.
How did you determine the appropriate dimensions between the object and its model?
I divided each of the measurements of the object by 10, and the result would be the measurement of the corresponding part of the model.
What object did you choose to make a model of and why?
I chose to make a model of my refrigerator because it had many different shapes within it and I thought it would be cool to make.
How did you determine the appropriate dimensions between the object and its model?
I divided each of the measurements of the object by 10, and the result would be the measurement of the corresponding part of the model.
What steps did you take to create your model?
I did all the math to figure out the lengths and widths of the rectangles. Then I got cardboard and cut rectangles out in the appropriate sizes. Then I taped them together and used a ruler to draw on the rest of the rectangles.
What challenges, if any, did you experience during this process?
I had difficulty deciding which object to create a model of because I couldn't think or find anything that fit the requirements.

By: Megan Peterson
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