2.1+Drawing+Wumps

27/10/2008 AER 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: What is the same and what is different about “similar” figures? Vocab from class: Reptile- A shape that can be put together into a similar figure by using the same figure as the original figure. =2.1 and its Follow Up=



//Above are the WUMP drawings, and the labsheet I used to make them.//

 * A. Use the instructions below to draw Mug Wump on the dot paper grid on Labsheet 2.1B. Describe Mug’s shape.**

Mug looks like a cat with a very rectangular body. Most of his body parts are rectangular except for his ears and eyes which are triangular and circular. He also has a smiling mouth.


 * B. Use Labsheet 2.1A and two more copies of Labsheet 2.1B to make Lug, Bug, Thug and Zug. After drawing the characters, compare them to Mug. Which characters are the imposters?**

The imposters are Lug and Thug.


 * C. Compare Mug to the other characters. What things are the same about Mug and Zug? Mug and Lug? Mug and Bug? Mug and Zug? What things are different? Think about the general shape, the lengths of sides, and the angles of each figure.**

Mug, Zug and Bug have the same angles and shape. The thing that makes them different is their sizes. The smallest is Mug, then Zug and last Bug. Mug is made out of the same line structure as Thug and Lug and they all have mouths, eyes and a nose. The difference between Mug, Lug and Thug is that the angles are different and so are the lengths of all the lines. Also, Thug is tall, Lug is fat and Mug is nether tall or fat.

**Follow Up**

 * 1. In mathematics, we say that figures like Mug and Zug (but not Mug and Lug) are similar. What do you think it means for two figures to be mathematically similar?**

When someone says that two figures are mathematically similar, I think they mean that they have been stretched or shrunk but are based on the same basic figure.


 * 2. The members of the Wump family are all similar. How do their corresponding sides compare? How do their corresponding angles compare?**

The corresponding sides compare to each other by having the same basic angle in the beginning, (in most cases). The corresponding angles compare to each other because they are all different depending on the side lengths.