I went over Matthew's homework problems with him. Then I showed him some multiplication and division problems along with addition and subtraction. We also solved some equations with rational expressions on both sides. I gave him homework which I allowed him to work on during the class to save time. He had a single problem to do by tomorrow.

I guided Joshua through some practice problems in verifying trigonometric identities. We used Pythagorean and cofunction identities in order to substitute functions to make the two sides of the equation equal. I gave him a homework assignment due Friday: p.931 # 28 - 34 evens.

I reviewed Matthew's homework assignment and we did some more problems in adding and subtracting rational expressions with unlike denominators. I then began to review the chapter by solving some problems on indirect variation and multiplication and division of rational expressions. I assigned problems in the chapter review which were P. 603 # 8 and 9, and p. 605 # 20,22.

The plan was to finish reviewing the homework problems that Joshua didn't do when they were assigned. Then we were going to begin the section on solving trigonometric equations. Since Joshua is taking an AP test today, the lecture and homework will have to wait. There was no assignment.

I started the class by requesting that Joshua show me his homework which he didn't do. I decided that the topic was too important to skip over the assignment and went over some of the homework problems with him as time permitted. We finished the section on simplification but still need to go over problems on verifying identities. There was no assignment.

The plan was to go over the homework problems and review for the chapter test on rational expressions and functions. I was going to go over problems with solving equations which have unlike denominators and begin reviewing of the chapter test material. Unfortunately, Matthew was taking his AP exam in a different subject. We will have to cover today's material tomorrow. If time permits, I will assign homework P. 593 # 14 - 24 even problems.

I worked with Joshua to use several standard trigonometric identities to simplify complex trigonometric expressions to simple ones. I also taught him the meaning of verifying trigonometric identity equations so that both sides become equal. I gave him an assignment due on Monday: P. 928 # 10 - 20 evens, and 28 - 34 evens.

I showed Matthew how to solve rational equations using cross multiplication. I also showed him how to get all the denominators in a rational equation equal and then cancel the denominators. I gave him a homework assignment to reinforce his learning. The assignment is due on Monday and is: P.591 #6,8 and P. 593 # 4,6, 8, 10, 12.

I led Matthew through some simplifications of complex fractions and showed him the steps that are always necessary when the parts of the fraction have unequal denominators. We did five problems of increasing difficulty. There was no assignment.

Joshua and I worked on using trigonometric identities to find the different parts trigonometric functions of a triangle. The Pythagorean identities were also used to find the cosine of a function when the sine was provided. There was no assignment.