I am a public school teacher in New York City. I teach mathematics in a high school in the Bronx. I moved to a different school in the fall of 2016, after being at the same large school for 12 years. Teaching was not my first career, and when I came to teaching I joined via New York City Teaching Fellows. I am a Master Teaching Fellow with Math for America. This blog is intended as a spot for me to record some of my observations.
Monday, May 22, 2017
Screens from Unit Equilateral Triangle Pairs
These are the screens that were used to remind students of the altitude of a 30-60-90 triangle with hypotenuse 1. Although in words I had to call it "height" or "altitude," in the drawing I only indicated a question mark.
These are the screens in which I presented the drawing. In both classes I had the same wrong answer that simply doubled the diagonal in the first figure. This shows how I drew auxiliary lines that convinced the students that wasn't correct. In the second screen I had asked the class what they notice about the figures before I posed the problem. The notes are things the students called out.