I introduced Matthew to geometric sequences and series and told him how to determine whether a sequence is geometric or not. We then used the common ratio to write the rule for a geometric sequence and to find the sum of the geometric series. We did some problems from the homework assignment which left only P.815 # 39 and 48 for him to do.
Assignment
See Lesson Outline
Session Minutes
135
Minutes Student Attended
135
Lesson Comments
Matthew is keeping up with his assignments and is following along with the work we cover during the sessions.
I introduced Joshua to the sum and difference formulas for the sine, cosine, and tangent functions. We did examples where a trigonometric function of an angle was unknown and the angle was the sum of two angles for which the function was known. I used the examples to show him how to get the unknown functional value. There was no assignment.
Homework review of Solving Trigonometric Equations
Lesson Outline
Joshua and I worked together to finish problems about solving trigonometric equations. We solved both generic and restricted domain problems to come up with angles that made the equation true. There was no assignment.
Assignment
see lesson outline
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Joshua contributed positively to the solution of the equations. He caught several mistakes so we were able to finish the lesson.
Homework review and Arithmetic Sequences and Series
Lesson Outline
I reviewed Matthew's homework and his answers demonstrated mastery
over generic sequences and series. We then began analyzing the properties of arithmetic sequences and series. I explained how to write the rules for arithmetic sequences and how to calculate the sum of an arithmetic series. We worked on some of the assignment which was p. 806 # 3 - 48 multiples of 3.
Assignment
See Lesson Outline
Session Minutes
135
Minutes Student Attended
135
Lesson Comments
Matthew paid close attention to the lessons and worked hard on the assignment.
Test on Rational Expressions and Begin Sequences and Series
Lesson Outline
Matthew finished his test on rational expressions and functions and he scored 100%. We then began to study sequences and series and I explained finite and infinite sequences and series and showed him how to use summation or sigma notation to express different series. I gave him his assignment: p.798 #(3 - 27 and 39 - 54) multiples of 3.
Assignment
See Lesson Outline
Session Minutes
135
Minutes Student Attended
135
Lesson Comments
Matthew worked hard on the test and also was able to follow the lesson on sequences and series.
I worked with Joshua during the entire session to correct his homework assignment which was done incorrectly for the most part. We only got halfway through the corrections so we will continue tomorrow. I explained the difference between general solutions and specified domains. There was no assignment.
Assignment
See Lesson Outline
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Joshua was somewhat distracted and we moved slowly through the lesson.
I demonstrated solving various trigonometric equations as Joshua followed from home. He was not in attendance and could not locate his text book at home. We solved equations with general solutions and equations with specific solutions depending on the domain of the angle. The assignment was given as P.934 Guided Practice #4,6 and P. 935 # 4 -20 even problems.
Assignment
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Session Minutes
90
Minutes Student Attended
90
Lesson Comments
I took 20 minutes to get online with Joshua because the school did not have sufficient computers to go online with all of the missing students. When I located Joshua's school computer in his classroom, I had a lot of trouble using his computer to log in to teams.
When I finally got into the session, there were frequent interruptions and losses of connection. I was told that we did not have any internet problems at the school, I surmised that Joshua was purposely playing with the reception. He did very little work in class, taking advantage of the interruptions.
I continued to proctor Matthew as he worked on the test on rational functions which includes direct and inverse variations, horizontal and vertical asymptotes, simplification of complex fractions, multiplication, division, addition, subtraction, and solving equations containing rational expressions. He still has not finished the test and will continue on Monday. There was no assignment.
Assignment
See Lesson Outline
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Matthew is still working hard on algebra 2 to finish by the end of the year.
I reviewed the process of verifying trigonometric identities with Joshua. The procedure differs from simplifying trigonometric functions by being an expression instead of an equation. There was no assignment.
Assignment
See Lesson Outline
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Joshua was too distracted by his upcoming AP test to pay much attention.
I administered Matthew's test on rational functions which includes direct and inverse variations, horizontal and vertical asymptotes, simplification of complex fractions, multiplication, division, addition, subtraction, and solving equations containing rational expressions. There was no assignment.
Assignment
See Lesson Outline
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Matthew finished about half the problems and seemed to be doing well so far. I collected his test for him to work on tomorrow.
