Monday, May 15, 2006

Czarina'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.

a) A Rotation Symmetry is when a figure can be rotated so that it fits exactly onto its outline more than once in a complete turn, it has rotational symmetry.

b) A Reflection Symmetry is if a figure or object looks the same after being reflected in a mirror, then it has reflectional symmetry. The line where you must put the mirror for this to work is called the line of symmetry (or in 3D, the plane of symmetry).

c) Reflection and Rotation Symmetry relates to pentominoes because its a 2 dimensional figure and if you rotate it0 doesn't make a difference.

Question #2: Create a pattern. You must represent this pattern both pictorially (i.e. with a picture or diagram) and with numbers. You must show the first 4 steps of your pattern.

Shape #1

Shape #2

Shape# 3

Shape# 4

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

a) The pattern is each shape gets bigger by adding one more shape to each end.
b) At first the number of the tiles start at 10 but it keeps but it keeps getting bigger by adding 2 more shapes. (one at each side)
c) The letter is the letter A.

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

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At 12:20 PM, Blogger Mr. Reece said...

You did a fabulous job with this post. Your mark is 19/20


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