Solve quadratic equations by factoring. Solve quadratic equations using the square root property. We also used the quadratic formula to solve equations.
Assignment
Ten problems on pages 101-2
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
I explained three methods for solving quadratic equations. We worked through examples of each together. I made the assignment and allowed Jackson to start working on the problems assigned.
We checked through the algebra review chapter to identify any areas of study that require more class time. We began chapter 1 on Linear Equations and reviewed the process for solving linear equations.
Assignment
none
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
A very good session the should pave the way for the rest of the courses after the holiday break.
We are reviewing Algebra concepts so that Jackson will be prepared to study the concepts in College Algebra. We are looking at real numbers, algebra essentials, and geometry essential.
Assignment
Selected problems on pages 15 - 16, pages 26 - 8, and pages36 -7.
Using synthetic division to completely factor polynomials
Lesson Outline
I reviewed with Matthew how to completely factor a cubic polynomial when one factor is known. We also reviewed the processes of synthetic division and substitution.
After the review, I introduced Matthew to the rational zero theorem which helps students generate possible zeros of polynomials. We did a few examples of these.
There was no assignment.
Assignment
See Lesson Outline
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
Matthew was very engaged and was responding much faster to my questions today.
In this session, Symone and I discussed her final review before the exam. The topics we covered were logarithms, logarithmic properties, the solution of logarithmic equations, exponential equations and their solution, one-to-one functions, and inverse functions.
Symone and I worked through most of her cumulative review, concentrating on some of the more difficult aspects of the course, including logarithms, exponentials, and solving rational equations.
The vertex form for the equation of a parabola - Graphing a parabola given three points - Graphing a parabola given its equation - Interpreting the equation of a parabola in terms of a horizontal and vertical shift -
End behavior of polynomials. Constructing polynomials from zeros given algebraically or graphically. Rational zeros theorem. Upper and lower bounds of a polynomial - Graph sketching -