Today Carson and I continued the challenge activity we began yesterday. Carson was asked to find the surface area and volume of non-traditional 3D figures. I pulled the problems from an honors geometry class (two grades higher than Carson's). He was challenged in finding the formulas for the setups but it was a great exercise for him. He practiced higher order thinking by using the formulas he does know and manipulating them to solve for the problems given.
Today Andrew and I began to prepare for a Quiz he will have on Thursday. We worked on the trig functions sine, cosine, and tangent. Given the sides of a triangle, Andrew was first asked to find the trig ratios. Then Andrew was given problems where he had to first determine which trig function was being implied, then he had to set up an equation, then solve for the missing side length. These problems were difficult for Andrew and he needed a lot of guidance. Next we practiced using our calculator to solve for the missing angle given the side lengths.
I showed JPaul how to derive the arc length formula. We started with the formula for the circumference of a circle. Then I showed him how we could find just a piece of the circumference. We practiced using this formula to find how long an arc is given its radius measure.