Recent Tutoring Session Reviews
"Today I helped the student review for his upcoming test. He was given a review sheet by his teacher so we just did as many problems from that as we could. We went over how to factor every version of the quadratic formula ax^2 + bx + c that pops up. We talked about how the discriminant is a major indicator for what the results will be. We talked about how to "unFOIL" and set equations equal to zero in order to use the quadratic formula. Lastly we did some word problems that required solving quadratic polynomials."
"We reviewed information from sections 7.3 & 8.1 and she had questions on a couple of the problems she had already completed. Next we moved ahead to section 8.2. We talked about the new information and did a couple of problems. Then she worked on the homework assignment for 8.2 since it was available online. The section included finding area of irregular triangles and quadrilaterals."
"The student and I first went through her chemistry notes. Additionally, we worked through the first 3 sections of the chapter that she has recently started in geometry. She told me that she didn't have many notes from these sections and wanted to review the basic concepts to see which topics posed the most trouble for her. Overall, this was a great session! The student continued to let me know when she needed me to rephrase my explanation and she asked many questions as we worked the practice problems. I hope this session helped her strengthen the foundations for these new topics in both of her classes!"
"Worked on test review covering similar triangles, Pythagorean Theorem, Special Right Triangles (30-60-90) & (45-45-90), Laws of Sine, Cosine and Tangent and classifying a triangle as acute, obtuse or right given the three sides of the triangle."
"We went over the new material he learned, which was polygons. We also went a little ahead of his class and covered parallelograms, which will be included on his quiz later this week. We worked on finding interior and exterior angles of polygons based on the number of sides on each polygon. For parallelograms, we worked on the fundamentals of what makes a parallelogram, and how all of the sides, angles, and diagonals relate to each other."
"The student & I finished up a lesson on finding the centroid and orthocenter of triangles by developing equations for bisectors and altitudes and solving for points of intersection. We also completed a lesson on solving systems of equations and graphing equations of lines to investigate points of intersection. She is progressing in her ability to manipulate algebraic equations as well as in her problem solving strategizing, reasoning, and critical thinking skills. Her mathematical and problem solving vocabulary is expanding, though further lessons will encourage her to speak more aloud about her thought process as she reads and comprehends text and equations and reasons through how to solve problems."