Alexa and I continued working to reduce complex fractions with numerical and variable denominators. She likes to factor them and cancel the like factors. Tomorrow we will review the idea of negatives more, as they can be tricky with these operations.

Alexa and I reviewed simplifying exponential and radical expressions today. We also started to simplify rational expressions by factoring and cancelling like factors. We reviewed factoring differences of squares. We reviewed fraction division. We started simplifying complex fractions.

Alexa and I reviewed exponents today. Specifically, she practiced converting numbers in radical notation to exponential notation. I reminded her that, with rational exponents, the denominator is the root, or index, which helped her in writing numbers in radical form. She also had to simplify radical expressions.
I also talked to her about her hours and what she needs to complete going forward. She needs 9.5 hours after today. I encouraged her to come to class on time the remainder of this week, and then we will be left with a little over 5 hours to complete next week. We talked about trying to schedule her from 10:30-12 or 12:30 next week. If she comes every day, then she will have her hours complete.

Alexa and I worked on long division of polynomials and synthetic division of polynomials. After seeing a few examples, she remembered how to do them. We also spent time talking about graduation and college, as she needed to sort through some of her disappointments about the present, and fears of the future.

We added and subtracted functions. We also performed composite function operations. This involves finding the value of a function for a given number, then taking that number and evaluating a different function with that number.

We factored trinomials, factored but grouping, and did function operations today. The function operations required Alexa to multiply and divide powers. The rules for this require us to add or subtract the exponents. In this case, the exponents were fractions, so she had to get a common denominator.

Alexa and I began to review the topics we have covered this past year in class. Today's exercises were simplifying expressions. She remembered to add and subtract like terms, but needed refreshing on the distributive property.

Alexa was absent today

Alexa worked through right triangles where she had to find the degree of an angle using trig functions. She successfully completed the angles. I reminded her about the Triangle Angle Sum Theorem, which can be used to find the third angle of the triangles. She simply subtracted the acute angle that she found from 90, and this gave her the third angle in the triangle. Finally, we talked about the Pythagorean Theorem, which she remembered as a^2 + b^2 = c^2. She used the Pythagorean Theorem to find the missing side of her triangles.

Alexa was absent today