Algebra II
Session Date
Lesson Topic
Trigonometry
Lesson Outline
We will do an application problem related to a sinusoidal graph. We will use the graph to model the amount of daylight in a specific location in the U.S,
Assignment
Use the model to find the amount of daylight on a specific day.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We took the data from a book showing the amount of daylight on June 21 and December 21 in Boston, MA. We created a sinusoidal model from the data.
Session Date
Lesson Topic
Graphs of Sinusoids
Lesson Outline
We will graph equations of the form y=Asin(B(x + C)) +D and identify the amplitude, period, frequency, wavelength, phase shift, and vertical shift of the base function y = sin x.
Assignment
Know the significance of A, B, C, and D.
Session Minutes
45
Minutes Student Attended
20
Lesson Comments
We did two examples of these graphs.
Session Date
Lesson Topic
Unit Circle
Lesson Outline
We will use the unit circle to define radian. We will use radians to graph trig functions. We will use trig functions to model real quantities that are periodic.
Assignment
Know what a radian is.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We defined radian and we graphed trig functions. We looked at properties of trig functions that will allow us to model real situations.
Session Date
Lesson Topic
Sequences and Series
Lesson Outline
We will finish the topic of sequences and series by relating geometric sequences to compound interest. We will compare the notation for sequences to the notation for compound interest.
Assignment
Use technology to calculate compound interest.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We did examples relating geometric sequences to compound interest.
Session Date
Lesson Topic
Sequences and series
Lesson Outline
We will write a formula for the nth term of a geometric sequence. We will also use the formula to find the sum of the terms of a geometric sequence. We will relate geometric sequences to compound interest and the calculus concept of an integral.
Assignment
Use the formulas in application problems.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed the basics of geometric sequences and series. We will move on to the applications of these concepts.
Session Date
Lesson Topic
Exponent operations and simplification involving various roots. Preparation/practice for Unit
Quiz
Lesson Outline
Exponent operations and simplification involving various roots. Preparation/practice for Unit
Quiz . Writing square roots , cube roots etc, in exponent form. Products and quotients with square roots and cube roots. During today's review for the Unit Quiz on Exponent Operations and various Roots to simplify, James worked very productively and diligently. His grades have been steadily increasing during the past several weeks.
Assignment
Study for the Quiz Thursday.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
During today's review for the Unit Quiz on Exponent Operations and various Roots to simplify, James worked very productively and diligently. His grades have been steadily increasing during the past several weeks.
Session Date
Lesson Topic
Sequences and Series
Lesson Outline
After a brief review we will study the notation of sequences so that we can use technology to graph sequences and evaluate series. We will use a graphing calculator and desmos.com.
Assignment
Practice using technology to graph sequences and evaluate series.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We accomplished our goals for today. We dis example problems with and without technology.
Session Date
Lesson Topic
Sequences and Series
Lesson Outline
We will do example problems from a precalculus book based on what we have discussed previously.
Assignment
Know the vocabulary and notation involved.
Session Minutes
45
Minutes Student Attended
0
Lesson Comments
Ben was absent.
Session Date
Lesson Topic
Sequences
Lesson Outline
We will continue the study of sequences by doing examples of recursively defined sequences.
Assignment
none
Session Minutes
20
Minutes Student Attended
45
Lesson Comments
Ben worked independently until I got to the session following a medical appointment.
Session Date
Lesson Topic
Sequences and Series
Lesson Outline
We will review what we have completed involving sequences and series. Today we will define sequences recursively, study infinite sequences, and find sums of infinite geometric sequences when possible.
Assignment
Find the sum of an infinite geometric sequence when possible.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We discussed recursively defined sequences and infinite geometric sequences.