Linda+CSMI


 * Largest triangle in circle** - Some of my thoughts on the math.

For example (depending on math grade): 1.Noticing: The area of the circle is always greater than the area of any triangle. 2.Noticing: Any triangle not inscribed can be swallowed (surrounded) by an inscribed triangle. What does this mean? 3. Saying the words: The largest triangle in a circle is an inscribed equilateral triangle. 4.Noticing that all the heights are the same (since all the sides are equal). (Would we have them draw them in GeoGebra, on the paper??)

5.Asking: What is the relationship of the height of the triangle to the diameter of the circle. 6.Translate this to folding. 1. Noticing that the perpendicular bisectors all meet in the circle center - naming this point the circumcenter. (Would we have them draw them in GeoGebra, on the paper??) 2. Noticing that the angle bisectors are the perpendicular bisectors. 1. Finding the lengths of the sides using 30-60-90 or trig.

Class 1: Point in Circle

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