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Tuesday, December 2, 2014

Marek Niesiobedzki's lesson plan


Marek Niesiobedzki's Lesson Plan 


Hello class,  My name is Professor Marek Niesiobedzki and today we will learn about symmetry. Symmetry is in our everyday lives , everywhere we go. It is found in buildings,rooms, cars, food and endless other things we encounter on a daily basis. Symmetry is when an image, shape, or line looks the same when it is flipped, rotated, or turned. The flipped shape is usually "mirrored" and is identical to the shape it is symmetrical with.

There are numerous types of symmetry but the most common symmetry is vertical, which basically cuts something in half leaving  two identical parts, making it symmetrical 





As proven in the images above, there are numerous lines of symmetry in this figure. Vertical symmetry is the most common, straight down the middle symmetry but symmetry is something that has unlimited ways of being divided into equal and"symmetrical parts" 

When a function is symmetric about the y-axis AND f(x) and f(-x) are equal, then the function is even. 
When a  (function) is symmetric about the origin AND f(-x) and -f(x) are equal, then the function is odd. 



A good example of odd and even  functions is below  


Thank you class and I hope you enjoyed and learned about symmetry in a fun and effective way. Let me know if you have any questions please 


3 comments:

  1. your explanation is really clear and easy to follow! You also relate symmetry to functions really well

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  2. Nice job Marek. I really like your plan and especially the graphs and figures. It was really helpful

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  3. marek,

    you did a straightforward job of explaining symmetry. i like the graphics and your step by step explanations of even and odd functions. good work!

    professor little

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