We will find sums of sequences (series) and write sequences using a recursive definition. We will discuss sigma notation for series and do examples involving sigma notation.

We will write sequences term by term by identifying a pattern. We will write sequences symbolically, and we will find missing terms of a sequence.

We reviewed and practiced solving quadratic equations by factoring, the quadratic equation, and completing the square. We determined the domain and range of square root functions. We solved word problems involving quadratic equations in standard form. Then we mapped a 1 to 1 function to determine the cost of a ticket based on the age of the recipient.

We learned that algebraic manipulation comes into play when solving logarithmic equations or simplifying expressions. We worked on a practice test to solve logarithmic exponents.

We learned to solve a rational expression. We practiced simplifying the expression by finding a common factor in the numerator and denominator and canceling it out.

We reviewed for a test in algebra 2 this week. We practiced solving word problems involving 2 equations and 2 unknowns.

We reviewed for a test in algebra 2 tomorrow. We practiced solving inequalities with “and” and “or” graphs. We reviewed the labeling of consecutive even and odd integers for word problems.

Rachel and I briefly discussed her new material including combining functions like fx and gx. She stated that she was very confident and comfortable with this material so we reviewed the topic from the week before.

When she first looked at the material, she had a momentary lapse in her ability to interact with the material. We used this opportunity to pretend that this was a test and practice recouping from a tough situation. We wrote out a systematic approach for her to attempt these situations including a series of questions and approaches.

We then worked out the solution to several equations with roots.

We discussed solving equations with square, cube, and higher power roots.

We took the time to graph the equations to help give Rachel a visual of what is happening and went so far as to graph the negative of each root as well to show how to make educated approximations of possible sensible answers.

Rachel and I discussed her midterm math exam and how successful she was in accomplishing her academic goals.

We then worked on graphing square and third roots. We discussed translations of the most basic graph. We looked ahead to future concepts like graphing the negative portion of the graph. We also covered details like how to specifically enter the equations into a graphing calculator.