Recent Tutoring Session Reviews
"Today the student and I did a review of what we have covered so far. We worked on some problems for determining the domain of a function. I reminded him that he has to look out for both square roots and possible zeroes in the denominator. For square roots only variables that result in positive numbers and zero are in the domain, and any value that causes the denominator to be zero is not in the domain. We also practiced finding the value of a function when the input is a number, and then when the input is a variable. We spent extra time on f(x+h) inputs as they come up a lot and are fundamental for calculus. He needs to remember that whatever is inside the parentheses in f( ) will replace all instances of x. He also needs to make sure to always follow order of operations when doing his algebra, and to expand and foil if the parentheses are squared. He should be careful with distribution doing this, but generally did well today."
"The student is doing very well now. He's picking up new ideas super fast. Right before I left we got into some pretty advanced word problems, which didn't give him any trouble. We'll do more of those next week."
"Today, the student and I covered vectors. I reviewed with him how to find the component and standard form of a vector, how to add and subtract vectors, and how to find the magnitude of a vector. He did very well with all of the content. I suggested to him that he ask his teacher about the problems before our next tutoring session."
"Today we had our first session on pre-calculus. We went through a study guide the student had for his test tomorrow. This study guide covered synthetic division, solving quadratic equations, understanding graphs and functions, quadratic inequalities, putting quadratics into vertex form, and analyzing polynomials. He understands everything we went through, especially synthetic division. Vertex form needed some extra explaining and examples compared to the other topics, but ultimately he understood this concept too. I think he is prepared for his test tomorrow. We also went through the one problem on his physics test that he didn't understand. He got an 86% on this test, which was one of the top grades in his class."
"The student began his next chapter on exponential functions. I reviewed the first line on the function y = ab^t and the definition of a (y-intercept or initial value) and b (growth and decay). Then we determined the function given an initial value and percent growth or decay and evaluated the function at different values. I reviewed basic exponential rules and showed him how to input exponential functions on his graphing calculator. Then, he completed his entire assignment. I went over his upcoming lesson on determining if the data is a linear or exponential function. We finished by going over how to determine an exponential function given two points."
"Tonight, the student and I reviewed for her test on polar graphing, polar functions, and powers and roots of complex numbers. She had no trouble with the graphing and function material. Overall, she will be in good shape for the test."