Recent Tutoring Session Reviews
"The student and I reviewed graphing polynomials of degrees higher than two, quartic and cubic equations, the intermediate value theorem, odd and even functions, odd and even multiplicity of terms."
"Assisted with biology worksheet, history article summarization, and reviewed pre-calculus terms for inverse sinusoidal equations."
"We covered graphing functions with use of x and y intercepts and asymptotes. The student at first struggled with understanding these concepts in context of the function, but with practice became more accustomed to them. She is going to finish the rest of her homework as review."
"We covered graphs and domain and range again this time, in addition to logarithms and natural logs. The student needed help with domain and range, but tried hard to understand it and eventually understood it. I used practice problems to reinforce the information and left him with extra practice to work on before his test."
"Today we continued with proving trigonometric identities, but now with the aid of the sum and difference formulas for sin, cos, and tan. We talked about the motivation or purpose of the sum/ difference formulas in their own right, as well as what they do for us in terms of identity problems. The student was also able to derive the "double angle" formulas (which he has not seen in class) using the sum/ difference formulas. He does well with this type of material, and is really satisfied when he is able to prove an identity which motivates him to work hard on these exercises. By the end of the session, he seemed to have the formulas memorized and was able to complete the exercises from class review and homework. He got a 100% on a previous quiz, and was very happy, noting that he was able to solve a problem no one else in the class did. This is really encouraging for him as a student because he was excited to do well, and that carries over to more excitement about learning the material."
"Today we focused on complex numbers and quadratic equations. We looked at quadratic equations in both the a(x-h)^2+k form and the ax^2+bx+c form. From this, we practiced finding x-intercepts, y-intercepts, the vertex, and graphing from there. In complex numbers, we examined patterns in the solving of them, i.e. in the denominator, after multiplying by the conjugate, it will always come out to subtracting a negative number from a positive number (same as adding two positive numbers). She seems to be picking up on the topics very well."