2.2+Nosing+Around

M.A Oct 15

EQ2 What is the same and what is different about “similar” figures? The same of similar physical figures that they have the same angle degrees and mathematical shape. They are different that they have different length, width, are and perimeter.

Summary: In this investigation you learn how to make Wump noses and comparing with the other wump noses. This helps you to learn hot to compare and finding similarites of fiqures. Like scale factors, and side lengths.

Big Idea; In this problem, you will investigate shape more closely to try to figure out what else necessary for two rectangles to be similair.Getting the similar between two images is studying about the figures. Comparing the area, perimter, width and length is the meaning of finding the similair or the different.

|| Width of nose || Length of nose || Width/Length || Perimeter || Dimension ||
 * Wump
 * Wump (Mug) || 1 || 2 || ½ || 6 || 2 ||
 * Wump (Zug) || 2 || 4 || 2/4 || 12 || 8 ||
 * Wump (Bug) || 3 || 6 || 3/6 || 18 || 18 ||
 * Wump || 4 || 8 || 4/8 || 24 || 32 ||
 * Wump || 5 || 10 || 5/10 || 30 || 50 ||
 * Wump || 10 || 20 || 10/20 || 60 || 200 ||
 * Wump || 20 || 40 || 20/40 || 120 || 800 ||
 * Wump || 100 || 200 || 100/200 || 600 || 20000 ||
 * Lug || 3 || 2 || 3/2 || 13 || 6 ||
 * Thug || 1 || 6 || 1/6 || 14 || 6 ||


 * Prob 2.2**

(See graph)
 * A. Look carefully at the noses of Mug, Zug, Bug, and Thug. In your table, record the dimensions, the ratio of width to length (width/length), and the perimeter of each nose.**


 * B. Look at the data you recorded for Mug, Zug and Bug. What patterns do you see? Explain how the values in each column change as the Wumps get bigger. Look for relationship between the values in the different columns.**

Since Mug or wump 1 is the base of the chart, I count him as 1. So if we need to find Zug, we need to times Mug twice. If you need to gets Bug’s, we need to times the amount or the number of the wump. For example: Wump3 nose = 3 x Mug (1,2) = Bug Nose (3,6)


 * C. The rule for making Wump 4 is (4x, 4y). The rule for making Wump 5 is (5x, 5y). Add data to your chart for Wumps 4 and Wumps 5. Do their noses fit the patterns you notices in part B?**

The patterns did go on, as much the number of Wumps will. It is like times Mug to the number of the Wumps. Times Mug with 4 you will get Wump 4 noses. It also the same way to get the other wumps. Wump 5 = Mug nose (1,2) x 5 = (5,10).


 * D. Use the patterns you found to add data for Wumps 10, 20, and 100 to the chart. Explain your reasoning.**

To find all the wumps nose in the graph is need to times the wump number with Mug. Wump 10 times Mug = (10, 20). When you got the picture, it easy to find the nose width and length.


 * E. Do Lug’s nose and Thugs nose seem to fit the patterns you found for the Wumps? If not, what makes them different.**

Lug nose and Thug nose are different since they are different from Mug by the width or length but not both. Lug nose looks like a fat nose but Thug nose looks very skinny. Since Lug has (3,2) for the width and the length of the nose. Thug has 1,6 for the width and the length of the nose.

** F.U **
** 1. **** Is there a scale factor from Mug’s nose to Wump 4’s nose? Why of why not? **  Yes, it is the grew scale factor of 4. Since Mug has 1,2 for the width and the length of its nose. But wump 4 has 4,8 that exactly times with 4. ** 2. **** Is there a scale factor from Mug’s nose to Thug’s nose? Why or why not. **  No, since Thug doesn’t have precisely scale factor of something to represent because it only times either the width or length. ** 3. **** The dimensions of Bug’s nose are 3 x 6. Suppose this nose is enlarged by a scale factor of 3. ** ** A.  **** What are the dimensions of the new nose? **  162   ** B.  **** What is the perimeter of the new nose? **  54   ** 4.  **** A. What is the scale factor from Wump 2 to Wump 10? **  Grow by scale factor of 5. Decrease by scale factor of 5.
 * B. What is the scale factor from Wump 10 to Wump 2? **