Link to GIFS: https://drive.google.com/folderview?id=0ByPi8ytTUp5AbGl2dUx3N2dtdjg&usp=sharing
The activity at the beginning of the hour helped me understand that at different points on the curved lines, you could start to tell the slope of the tangent line as you got infinitely close to the x value that you want to know the slope of. Also known as a limit. I feel as though Michael and I struggled more because of a lack of knowledge of the chromebooks, snagit, and desmos rather than understanding the different concepts. To overcome these problems, we sought help from Mr.Cresswell and our fellow peers, who were having much more success in the activity than us. In the bonus equation you had to use an equation that used the values (a, f(a)), rather than (2, f(a)). So this changed the equation from
((2-f(a))/((2-a)))(2-a)(2) to (f(a)-f(s))/(a-s))(s-a)(f(a). For the first two Gifs, the setup was very similar all including the function f(x)=.5x and by using different sliders and points to move the line f(X). In graph 1, only one slider was necessary. In graph two, two sliders were necessary. Knowing the slope of the secant line can give you the value of m, and allow for you to solve for the tangent line, using the formula y=mx+b. I want GIFS for Christmas this year.
((2-f(a))/((2-a)))(2-a)(2) to (f(a)-f(s))/(a-s))(s-a)(f(a). For the first two Gifs, the setup was very similar all including the function f(x)=.5x and by using different sliders and points to move the line f(X). In graph 1, only one slider was necessary. In graph two, two sliders were necessary. Knowing the slope of the secant line can give you the value of m, and allow for you to solve for the tangent line, using the formula y=mx+b. I want GIFS for Christmas this year.