Maths tutoring in Brisbane, QL

The tutor and student reviewed differentiation using first principles, practicing the application of the derivative formula with polynomial functions. They also briefly discussed equations of lines and confirmed that trigonometric differentiation has not yet been covered. The student was assigned practice problems related to line equations and differentiation from first principles.

The tutor and student reviewed the concept of gradients and the equations of straight lines, focusing on identifying and rearranging linear equations into the `y = mx + b` form. They practiced solving exercises related to finding gradients and y-intercepts, and identifying mismatched equations.

The tutor and student practiced applying trigonometric functions (sine, cosine, tangent) to solve various word problems. They focused on drawing diagrams, identifying relevant triangles, and using inverse trigonometric functions. The next session will continue with similar problems, starting with a specific example the student found challenging.

The Tutor and Student worked on identifying and describing mathematical patterns, starting with simple arithmetic sequences and progressing to more complex series. They then practiced the order of operations (BODMAS/PEMDAS) through multi-step problems and applied pattern recognition to solve word problems involving costs and geometric constructions.

The Student and Tutor reviewed and practiced various aspects of linear relationships, including finding equations from given points, understanding perpendicular lines, and calculating intercepts. They also worked through word problems applying these concepts and solved a more complex problem involving the intersection of lines. The plan is to move on to networks in the next session.

The Student and Tutor practiced solving a complex matrix multiplication problem that required setting up and solving a system of three linear equations using the elimination method. The Student successfully derived the equations, applied the elimination technique, and verified the solution for x, y, and z. For follow-up, the Student will practice more questions from a shared resource, and another session is scheduled for tomorrow.