Helping Students Build Strong Mathematical Foundations Through Personalized and Engaging Online Lessons

The Student and Tutor reviewed various mathematics problems in preparation for an upcoming test, focusing on solving compound interest problems, logarithmic equations, and exponential equations. They worked through a series of exercises, with the Student attempting problems and the Tutor providing guidance and confirming answers. The Student was encouraged to practice the remaining questions from the provided worksheet and reach out for any further doubts.

The Student and Tutor practiced identifying and interpreting various properties of functions, including domain, range, x and y-intercepts, and increasing/decreasing intervals from tables and graphs. They also began an introduction to different function families, discussing constant, linear, and absolute value functions. The plan is to continue this discussion on function families in the next session.

The session served as an introduction to Algebra 2 functions, with the Tutor reviewing core concepts such as domain, range, intercepts, and vertices. The Student then explored more advanced topics including absolute/relative maximums/minimums, end behavior, asymptotes, and how to identify increasing, decreasing, positive, and negative intervals from graphs and tables. Homework comprising similar practice questions was assigned for the Student to work on before the next session.

The Tutor and Student reviewed co-terminal angles, defining them and demonstrating their calculation. They then introduced the concept of bearings for navigation, explaining true bearing measurement from north and practicing how to calculate bearings between points using geometric principles. The session concluded with the Student solving word problems that applied trigonometry to bearing scenarios, and they plan to continue with more application problems next time.

The Tutor and Student initiated an Algebra 2 curriculum, covering topics like linear functions, transformations, and an introduction to trigonometry, including radians and angle measurements. They practiced evaluating expressions, performing geometric transformations, and converting between degree and radian measures, with plans to delve deeper into coterminal angles and trigonometric values in the next session.

The student worked with the tutor to learn and practice finding the inverse of various mathematical functions. They reviewed the definition and procedural steps for calculating inverses and then solved a series of practice problems involving linear, radical, and rational functions. The session was preparation for an upcoming quiz.