Joshua and I found the missing angles and sides of triangles where different parts of the triangles were given. One of the triangles had no solution. We also found the areas of triangles given the area formula which included the sine of one of the angles. When one problem provided only side lengths, I demonstrated how to use Heron's formula to find the area. There was no assignment.

The plan was to guide Matthew through practice problems involving properties of logarithms. The properties to be covered were expanding and condensing logarithmic expressions and evaluating logarithms using their properties. Unfortunately, Matthew went home to work online and when I attempted to contact him our connection was unsuccessful. We will attempt to work on these problems again the next time I work with him on algebra II honors material. There was no assignment.

Joshua and I continued his review of trigonometric functions and using inverse trigonometric functions of find specific angles. We also used the law of sines to solve triangles. There was no assignment.

I worked with Matthew to calculate logarithms with given bases of specific numbers based on the exponents of the bases. I then reviewed the properties of logarithms so that he could expand and evaluate the answers. I also introduced the conversion of bases of logarithms and gave an example. There was no assignment.

Joshua and I worked on finding trigonometric functions of various angles expressed in radians and degrees. We also found the angles using the inverse trigonometric functions. There was no assignment.

I worked with Matthew on expressions with powers of the number e raised to powers and multiplied and divided by other powers of e. I then explained logarithms to him with the conversion to exponential expressions. I also explained the two expressions of log with no base shown as the common logarithm with base 10 and ln as the natural logarithm with base e. We did some conversions as part of our practice problems. There was no assignment.

I used the chapter test as a review tool to practice various problems from the topic. I directed Joshua to evaluate the six trigonometric functions of various right triangles. I also instructed him to convert degrees to radians and radians to degrees and to find various trigonometric functions of certain angles. There was no assignment.

I explained the key parts of the graphs of exponential growth and decay and showed Matthew how to identify each type. I then introduced the number e and showed him how to use various operations on expressions containing the number e. There was no assignment.

The plan was to introduce Matthew to examples of the uses of exponential functions. I was going to explain several key points of an exponential graphs and show him how to solve multi-step problems in exponential growth. Since Matthew was absent and unable to attend class either through in-class or virtual instruction, I will have to repeat this class next time I instruct him. There was no assignment.

I used selected problems to help Joshua review trigonometric ratios and functions. We wrote the six ratios equivalent to the six trigonometric functions given a specific right triangle and two of its sides. Then we did a real world problem employing trigonometry. I instructed Joshua to convert degrees to radians and radian angle measure to degrees. We also used trigonometry without calculators to
determine the trigonometric functions of several angles. Finally we used inverse trigonometric functions to determine missing angles. There was no assignment.