Engaging Math tutor with creative, problem-solving lessons

The student and tutor worked through challenging vector algebra problems, focusing on proving collinearity using scalar multiples and vector equations derived from geometric figures. They practiced breaking down shapes into triangles to set up vector relationships and apply ratio division. The tutor identified the need for further practice and preparation for future sessions.

The Tutor and Student reviewed the method of completing the square for solving quadratic equations. They worked through examples and practice problems to solidify the student's understanding of the technique and its application in various scenarios. The next session will focus on vectors, specifically proving a line is straight, and the student is asked to provide relevant materials.

The student and tutor worked through the quadratic formula and its application to solve quadratic equations. They practiced solving various equation types, including those from word problems, and discussed the role of the discriminant in determining the nature of the roots. Completing the square was identified as a topic for a future session.

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.