4.3+Making+Copies

Faraaz

11-16-08

Math 7e

Big Idea  Many things in our world are mathematically similar and we can use this to understand and describe the world around us.

Essential Question # 4/5 - What types situations can I use my similarity ideas to solve?

Notes: Find if the two numbers have a scale factor between them. Scale Factor- The scale (number) between two figures, the number that connects them.

Problem 4.3


 * Can Raphael make a poster that is similar to his original ad on any of the three paper sizes- without having to trim off part of the paper? Why or why not?**

A) Raphael can keep his size the same 8.5” by 11”, and besides that he can’t do anything else, unless he trims off part of the paper, which he won't.


 * If you were Raphael, what paper size would you use to make a larger, similar poster on the copy machine? What scale factor- expressed as a percent- would you enter into the machine?**

B) B) If I were Raphael I would enlarge my original paper to 11” by 14”, I will have to enlarge it by 130% and then I would only have to trim a little off.

4.3 F.U.:


 * How would you use the copy machines described in the problem to reduce a drawing to 25% of its original size? Remember, the copy machines only accept values between 50% and 200%.**

1) To reduce the drawing first I would reduce the original drawing by 50%, then reduce that by another 50%, and that is basically reducing 25% of the original drawing.


 * How would you use the copy machines to reduce a drawing to 12.5% of its original size?**

2) To reduce the paper even more you would reduce the, already reduced 25% drawing by 50% and that is basically reducing 12.5% from the original drawing.


 * How would you use the copy machines to reduce a drawing to 36% of its original size?**

3) To reduce the paper by 36%, first enlarge the drawing by 72%, then reduce that by 50%, and that is basically reducing 36% the original drawing.



Like the the problem you can only enlarge if there's a scale factor and since 4 divided by 2 is 2 the scale factor. is 2.