Recent Tutoring Session Reviews
"The student and I covered his new chapter involving matrices. We talked about converting systems of equations into matrices and how to solve those matrices to get x, y, and z using Gaussian elimination and Gauss-Jordan elimination. We also briefly touched on matrix addition, subtraction, and multiplication."
"The student has a quiz coming up on domain and ranges for logarithmic and exponential equations, so we went over a few problems she had in her textbook and some more examples from online. She was able to correctly state the domain and ranges, as well as plug the function into her calculator to find the graph. We also went on to the next section on solving exponential and logarithmic equations. Her class is covering that section this week, so it will help her be more prepared for the class."
"The student and I went over the basics of limits. I taught her how to factor to get an answer, using conjugates, and limits as x is approaching infinity. I made up an assignment in the book and we did it together."
"We discussed series and sequences today. This included how to recognize patterns and derive equations from them. We also talked about series summation equations and worked through several problems that involved finite series and infinite series. We talked about convergence vs. divergence and how to solve for that convergence number (if a series has one)."
"The student and I worked on Algebra 2 for the full session, working mostly through her homework assignment. This focused on exponential expressions and exponential growth. These are relatively challenging problems. The student could use additional practice on these problems, and I left her with a good supply of them, which we will review in our next session."
"No new material, so the student and I went back to review three topics: local extrema and points of inflection, normal lines, and the Mean Value Theorem. We went through each by means of practice problems and created procedural flash cards. I advised her to designate a separate file folder for AP review notes."
"We solved systems of equations by manipulating augmented matrices into reduced row echelon form. Systems with two equations were not problematic. The most difficult ones were those with three variables. The most challenging part was reducing first the left column, then the middle column, and then the right column, and then lastly using this to put everything into reduced row echelon form."
"The student and I spent the first hour working through the chapter on paired data and the t-test and confidence intervals that result. We also spent some time talking about how you can tell the difference between paired data and a 2 sample t-test. Then we spent the remainder of the time reviewing for the test she has tomorrow on 1 and 2 sample t-tests and confidence intervals."
"Today the student and I covered logarithms and exponents, which he is going over in his math class. He has a test coming up and we went over a lot. He had no problem with them, which is outstanding. I think he'll do fine on his test, and I think we'll study again before he takes it."
"Today we went over one-sample t tests. We reviewed when it is used instead of the z-test, why we use standard error, and we also talked about p-values. We reviewed significance tests in general and what steps comprise a significance test. Her homework introduced the basic t-distribution ideas and I think by the end of our session she was feeling confident with the material."
"This week, I worked with the students in preparation for their math test tomorrow on geometric and arithmetic sequence. We did the problem set that was intended for review, then worked on a worksheet on seats in a theater that was pretty difficult. I think that the material made sense to them, but they had questions over putting together ideas and occasionally with identifying what the question is asking for, so we focused on those."
"The student and I went over trigonometric functions and the unit circle. She has a good base understanding of the concepts, and was improving throughout the session. We worked together to better understand reference angles, and then used a trick to get the six trigonometric functions of angles in special right triangles."