2.2+Nosing+Around

Shadab hossain Block e 6, Nov 08 Copy the chart below. The wumps in the chart are numbered according to their size. Mug is wump 1. Since the segments that make up zug are twice as long as the segments that makes up mug, zug is wump 2. Since the segments that make up bug are three times as long as the segments that makes up mug, bug is wump 3. Since lug and thug are not similar to the wumps they are at the bottom of the table. A. Look carefully at the noses of Mug, Zug, Bug, Lug and Thug. In your table, record the dimensions, the ratio of width to length (width/length), and the perimeter of each nose. Answer:(in the table)


 * wumps || width of nose || length of nose || width/length || perimeter ||  ||
 * wump 1 (mug) || 1 || 2 || 1/2 || 6 ||  ||
 * wump 2 (zug) || 2 || 4 || 1/2 || 12 ||  ||
 * wump 3 (bug) || 3 || 6 || 1/2 || 18 ||  ||
 * wump 4 || 4 || 8 || 1/2 || 24 ||  ||
 * wump 5 || 5 || 10 || 1/2 || 30 ||  ||
 * wump 10 || 10 || 20 || 1/2 || 60 ||  ||
 * wump 20 || 20 || 40 || 1/2 || 120 ||  ||
 * wump 100 || 100 || 200 || 1/2 || 600 ||  ||
 * lug || 3 || 2 || 3/2 || 10 ||  ||
 * thug || 1 || 6 || 1/6 || 14 ||  ||

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 relationships between the values in the different columns.

Answer: the values in each column change as the wumps get bigger for example; zug is twice as big as mug so it’s 2x 2y. Bug is three times bigger then mug because its values are 3x 3y and wump 4 is 4 times bigger then mug so the value is 4x 4y etc.

C. The rule for making wump 4 is (4x 4y). The rule for making wump 5 is (5x 5y). Add data to the chart for Wumps 4 and 5. Do their noses fit the patterns you noticed in part B. Answer: (in table) Yes their noses fit the patterns in part b because as the add numbers to the original the features change as well.

D. Use the patterns you found to add data to Wumps 10, 20 and 100 to the chart.

Answer: (in table)

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

Answer: No, lug’s nose and thug’s nose does not seem to fit in with the pattern. It does not fit in because one side of coordinates stayed the same as the original as the other one changed so this effected the overall shape and the features like the noses. Bodies and heads of the figure.