Certified Tutors From United States Naval Academy

The student completed math homework problems, completed English homework on roots including comparing words and writing sentences.

Today the student and I predominantly discussed parametric equations. He seemed to pick up the concept well, and we clarified exactly what each of the questions was looking for. In the process, we also reviewed the forms of equations of lines.

The student and I first started the session with a review of factoring of trinomials. We reviewed the rules of factoring trinomials then we practiced some with coefficients greater than 1. After I explained the steps, she understood them very quickly. Then, we returned to the materials from yesterday: transformation, roots/zeros/solutions, vertex, and standard vs. vertex forms of the parabola. In the end, she solved for the answer using the quadratic formula, and I showed her how to reach the same answer by completing the squares. Also, I taught her how to find zeros and minimum/maximum points using her graphing calculator. Overall, she is getting more practice.

Today the student and I covered geometry (triangle congruence proofs), physics (kinematics), and precalculus (rates, derivatives). We reviewed her geometry homework for correctness. I introduced triangle congruences. She is now ahead of her class. We reviewed derivation of kinematic equations for constant acceleration cases and I introduced precalculus to give her a deeper understanding of introductory physics and make it easier.

We went over solving single variable equations, factoring via quadratic formula, completing the square, and regular factoring. We also covered solving quadratic equations, graphing lines given just the equation in the question. The students did not show any signs of struggling. The students were very focused on the topics that were covered and showed that they both had proficiency when doing problems. I gave both students extra practice to start trying, and I will be reviewing the extra practice in our next session. In this session, I got to see the students ability to understand the questions without my giving any input on their progress. Both students show a lot of improvement since the first time we had a session; they've both shown that they remember all of what I have taught them, and this helps the students solve questions faster and easier. I feel that both students are getting more ready for the entrance math exam.

Student A: We reviewed for an algebra test. We covered slope intercept form and standard form, graphing a line, writing a line to form a slope intercept and standard form, graphing using the intercepts, application problems and writing an equation of a line given a certain situation. Student B: In geometry, we worked on similar triangles, using proportions to find missing sides in similar triangles, understanding 45-45-90 and 30-60-90 triangles, triangle inequality theorem, determine is a triangle is acute, right or obtuse and quick trig review.