This week in geometry one of my students is learning about the different "centers" in a triangle (orthocenter, circumcenter, incenter, etc), as well as the midsegments theorem and triangle inequalities.
To help him visualize why all of these things are true, I had him cut out an acute triangle, an obtuse triangle, and a right triangle and use these to illustrate the concepts.
For triangle inequalities, we worked with different lengths of string to see why some combination of leg lengths and some do not.
These are both quick, easy ways that help students understand beyond the words and definitions what we are talking about!

Galileo was a famous astronomer who was the first scientists to point his telescope towards the heavens and view the moon, rings of Saturn and other amazing objects. When he began to study the moon he noticed that there were craters and plains on it. He
also noticed that there were mountains on the moon by noticing light patterns on the moon.Many people would have gone on to the next observation, but Galileo began to measure these mountains.
I, like many other students, would always ask "what is the point of math?" "when will I ever use this?" so on and so on.Well depending on the career path you may never need the high level math you are required to take, but I hope that you at least appreciate
math for the power that it holds in unlocking mysteries of our universe. Think about it the moon, is 238,900 miles!!!! And in the 1600's without any sophisticated gadgets like we possess, a humble scientist was able to measure the height of a mountain...
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