## Monday, May 15, 2006

### Janna's Growing Post

Question #1: What is meant by the terms "Rotation Symmetry" and "Reflection Symmetry"? How does this relate to pentominoes? Explain these terms so that anyone who reads your post understands what you mean.

1. "Rotation symmetry" means that if you can turn or rotate a figure or shape around the center point in less then 360 degrees and the shape doesnâ€™t look different or changed that means that the shape has rotation symmetry.
"Reflection symmetry" means that a shape or figure will have a mirrored or flipped image of the shape that makes it look unique, but when the shape is flipped opposite they two shapes will look the same.

Rotation and reflection symmetry is related to pentominoes because there are only 12 pentominoe shapes,(a few people have found more) but if you use rotation or reflection symmetry, you will see the same pentoninoe shape you craeted but in a different position. The shape will be either rotated or flipped.

Question #2: Create a pattern. You must represent this pattern both pictorally and with numbers. You must show the first 4 steps of your pattern.

2. My pattern is below.

Question #3: Describe in words what is occuring with your pattern and if your pattern has an ending or if it continues on indefanetly. Make sure that your explaination is clear enough that the person reading your description could understand your pattern without seeing your diagram.

In my pattern the first step starts with one block. You keep on adding a block for every step. Notice there are the same amount of blocks as there are in the step number. Example: Step number 77, there will be 77 blocks. The pattern doesn't have an end. In step 1 you have one block, in step 2 you add a block. Now you have 2 blocks. In step 3 you add another block, you now have 3 blocks In step 4 you add a block, you now have 4 blocks.

Question #4: create a T-chart that shows what is happening with your Pattern. You must show the first four steps of your pattern with the T-chart.

At 5/16/2006 11:28 AM,  Mr. Reece said...

I'm not sure where the rest of your growing poast is Janna.

As well how do reflection and rotation symetry apply to pentominoes? What is so important about these two terms?

Mr. R

At 5/16/2006 5:15 PM,  Candy said...

great job

At 5/20/2006 12:00 PM,  Mr. Reece said...

Great job with your description Janna. I really enjoyed how you related the number of blocks the the pattern number of the shape