Engaging Math tutor with creative, problem-solving lessons

The Student and Tutor reviewed trigonometry concepts, including the sine and cosine rules, and applied them to calculate the perimeter of a composite shape and the length of triangle sides. They also explored methods for calculating the area of an equilateral triangle, discussing both trigonometric and Pythagorean approaches. The next session will focus on vectors, with the Student tasked with collecting practice problems.

The Student reviewed various math problems covering area, perimeter, trigonometry, and speed/distance calculations. The session focused on checking the Student's methods and providing guidance on writing clear, detailed solutions. The Student will send additional practice questions for the next session, covering topics like vectors.

The student and tutor reviewed sine and cosine rules, including when to apply each and potential ambiguous cases. The student practiced applying both rules to find missing sides and angles in triangles, focusing on calculator techniques and potential sources of error. The tutor assigned practice problems for homework and planned to cover vectors in the next session.

The session involved reviewing a non-calculator test focused on geometry. The student practiced proving triangle congruence and applying circle theorems. The session also introduced the sine rule for solving non-right-angled triangles and there was a discussion to have a follow-up session on sine and cosine rules and vectors.

The Student and Tutor covered changing the subject of equations and solving simultaneous equations using substitution and elimination methods. The Student practiced both techniques with guidance and received example questions to reinforce the concepts. The Tutor will provide additional practice questions and theoretical notes on polygons for the next session.

A student from the Community College of Aurora recently delved into statistics, covering data collection, frequency tables, averages (mean, median, mode), and cumulative frequency diagrams. The learner successfully grasped how to calculate averages and differentiate between grouped and ungrouped data. For their next lesson, they were asked to send additional resources on box plots and capture-recapture.