Archive for Geometry

Pythagorean Theorem

Pythagoras (c. 560-c. 480) was a Greek philosopher and religious leader. He made many important contributions to mathematics, astronomy and music theory. Pythagoras is most famous for the theorem on right triangles, a^2 + b^2 = c^2. This theorem was known and discovered in other cultures, even prior to the birth of Pythagoras.

The religious brotherhood that he founded, which amazingly let in women (very radical for that period in time), believed that if people understood numbers that they would understand the divine. They believed that “All is Number.”

Here are some links about the Pythagorean Theorem:
1. Hot Chalk: Multiple representations with diagrams of the proof
2. Nova On-line: an interactive proof with real world examples
3. Go Math: This site has a quick tutorial and problem set with answers.
4. Regents Prep: Has some multiple choice, standardized test practice problems using the Pythagorean theorem
5. Bhaskara’s (c. 1114-1185) Animated Proof of the Pythagorean Theorem

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Pi Day Fun

Pi Day Songs

We have some wonderful singers in math 7. If you’d like, you can download the lyrics to the pi songs we sung. For people who chose to write a song about pi for homework, I will be recording podcasts of the top 5 songs from math 7, including Mr. MacDonald’s classes. These songs and the lyrics will be posted on the class blog and on my professional blog. If you are interested in having your song considered, please let me know by Wednesday. We already have 2 excellent submissions.

Hooping

For people who are interested in learning how to make a hoop or how to hoop dance, you can find excellent information on my sister’s websites. You’ll recognize the dancer on Ms. Jessie’s sites.

Thanks for bringing in the pies and making it a fun Pi Day.

* Tech Tip: My sister is an excellent speller, and she realizes that some people aren’t. She intentionally uses several common misspellings in her websites for search engine optimization (SEO). If someone misspelled “hula hoop”, then they wouldn’t necessarily find her site, but since she includes both the correct spelling and incorrect spelling more people can find her pages. I’m a bit more particular and like things spelled properly; however, I will use include common misspellings in my tags to help people find my math sites.

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Tessellation Project

Learn more about tessellation on this site. Check out the gallery too.

This site talks about whether a shape tessellates or not.

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