What Your Child Will Learn with Alex

Unit 1

Alex's Unit 1 tutoring covers the fundamentals of functions, algebra, calculus, and statistics, preparing students for Units 3 & 4.

Functions: Graphing and analysing polynomial and power functions, including key features like intercepts, domain, range, and asymptotes.

Algebra: Symbolic manipulation, transformations of the plane, solving polynomial equations, and systems of equations.

Calculus: Introduction to average and instantaneous rates of change, interpreting graphs, and using tangent gradients.

Statistics: Experiments, sample spaces, probability, counting principles, and combinations.

Unit 2

Building on Unit 1, Alex's Unit 2 tutoring explores transcendental functions and calculus applications.

Functions: Graphing and analysing circular, exponential, and logarithmic functions, including transformations and inverse functions. Applications in modelling.

Algebra: Using inverse functions and transformations to solve equations, exponent and logarithm laws, and Newton's method.

Calculus: Differentiation and anti-differentiation of polynomials, applications to graph analysis and optimisation problems.

Statistics: Calculating probabilities of compound events using lists, tables, diagrams, and rules for conditional and independent events.

Alex's tutoring emphasises understanding core concepts and applying them to real-world problems, ensuring students are well-prepared for future studies.