Compassionate Teacher Skilled in Diversity and Committed in Individualized and Inclusive Learning

The Student and Tutor reviewed and practiced graphing polynomial functions, focusing on determining end behavior, finding y-intercepts, and extracting x-values through grouping and quadratic factoring. They then moved on to graphing rational functions, learning to identify vertical and horizontal asymptotes, and calculating x and y-intercepts. The plan is to continue practicing rational functions in the next session.

The session focused on understanding and practicing how to write geometric proofs. The Student worked through several guided exercises, identifying statements and their corresponding reasons for proofs involving bisecting lines, complementary and supplementary angles, and parallelogram properties. The Tutor highlighted the importance of logical transitions and supporting each step with definitions or theorems, with a plan to eventually tackle proofs from scratch.

The student and Tutor focused on learning synthetic division, meticulously going through the steps of determining coefficients, setting up the divisor, executing the division, and expressing the polynomial answer with remainders. The student practiced multiple problems to reinforce understanding, including scenarios with missing polynomial terms. The session concluded with an introduction to polynomial functions, discussing finding x-values through factoring and preliminary concepts of graphing, with a plan to continue this topic in the next class.

The Student and Tutor practiced identifying and forming conditional, converse, inverse, and contrapositive statements in mathematics. They worked on converting a given conditional statement into these three forms and determining the truth value of each. The Tutor recommended starting future review sessions earlier to ensure adequate rest for the Student.

The Student and Tutor engaged in a comprehensive review of geometry concepts, primarily focusing on angles. They covered angle definitions, types, naming conventions, and the Angle Addition Postulate. The session involved extensive practice with both numerical and algebraic problems applying these principles, in preparation for the Student's upcoming test.

The Student and Tutor reviewed key geometry concepts including the distance formula, midpoint formula, and segment addition postulate, in preparation for a test retake. The Student practiced various problem types, focusing on calculator use for negative numbers and algebraic problem-solving. They also discussed strategies for the upcoming test and the importance of using a personal calculator.