Mathematics Tutor Offering Interactive and Engaging Lessons for All Levels

This lesson focused on the unit circle, where a student from Stanton College Preparatory School in Jacksonville practiced finding exact values of tangent for angles in radians. The learner also worked on problems involving multiple trigonometric functions and covered the concept of reference angles, including how to calculate them in different quadrants. Sanjana assigned practice problems and recommended drawing the unit circle to better understand its structure and remember key values.

Sanjana worked with a student from the Near North Side on ACT practice questions, covering science questions related to experimental analysis and math word problems focused on ratios, percentages, and geometry. The learner practiced problem-solving techniques and timing strategies. They plan to work on English questions next lesson.

Sanjana guided Nadia through an ACT science test preparation lesson, concentrating on effective strategies for analyzing scientific passages and interpreting complex data. Nadia engaged in practice questions covering topics like coral bleaching and heat capacity, with a particular focus on discerning various scientific viewpoints and extracting crucial information from tables and graphs. For their upcoming lesson, they decided to prioritize math and graph-related science questions and also discussed arranging further classes.

Sanjana tutored Andrew on various aspects of polynomial functions, including finding quadratic functions given specific points, describing end behavior using leading coefficients and degrees, and determining multiplicities of zeros. They also covered identifying horizontal, vertical, and oblique asymptotes of rational functions, working through several practice problems. No specific homework was assigned, but Andrew was encouraged to practice the concepts learned.

Sanjana tutored Andrew on polynomial division, finding zeros of polynomial functions (using the rational zero theorem, synthetic division, and factoring), and solving polynomial inequalities. She provided step-by-step explanations and examples, focusing on techniques like handling remainders, constant factors, and interval notation for inequalities. They also discussed scheduling future sessions.

Sanjana and Andrew reviewed composite functions, parallel and perpendicular lines, and circles. Andrew practiced finding the equation of a circle by completing the square to determine the center and radius. They plan to meet again to cover more concepts before Andrew's test.