I continued working with Matthew on finding the inverses of functions. We also examined what happens when the inverse of a function is used as the argument of the original function. We then began to solve equations with rational exponents or radicals. There was no assignment.

I continued working with Joshua on calculations of trigonometric functions on special angles including those using the unit circle as their base. We worked with trigonometric functions on special angles where they were undefined. There was no assignment.

I continued with Matthew working on addition, subtraction, multiplication, division, and composition of functions. As we started each new operation, I reminded him of the properties of rational exponents and did some problems with that operation. There was no assignment.

Joshua and I worked through some problems where the coordinates of a terminal line were given and the hypotenuse was unknown. We were able to provide all six trigonometric functions for the given angles. There was no assignment.

I worked on addition, subtraction, multiplication, and division of functions with Matthew and also introduced him to composition of functions. I began the class with examples of all four operations with Matthew and then introduce the idea and some examples of composition of functions. We continued with practice problems. There was no assignment.

Matthew practiced his ability to simplify complex expressions containing rational exponents or radical expressions with various roots. The expressions contained both constants and variables. We worked from a set of practice problems to reinforce his skills. There was no assignment.

I explained to Joshua how the quadrants determine the signs of the various trigonometric functions. We also determined how the reference angle could be determined from any positive or negative angle expressed in either degrees or radians. We did some problems to reinforce Joshua's understanding. There was no assignment.

We went through an example of how to write the trigonometric functions of an angle with given coordinates on a unit circle. Then we worked on guided practice problems with various angles shown by their coordinates. Joshua was able to find the radius of the circle and derive all six of the trigonometric functions. There was no assignment.

I showed Matthew some examples of how expressions with variables raised to different powers under a radical can be simplified using the properties of rational exponents. We did several examples to demonstrate the advantages of the different techniques. There was no assignment.

I introduced Joshua to circular functions and the coordinates of any point on a circle in standard form. We also started to examine the unit circle. In both, we found the trigonometric functions based on the radius and the two coordinates for any angle. There was no assignment.