YEAR 12 MATHEMATICS ADVANCED 2026

TERM 2

TERM 2 - The Anti-Derivative, Areas and the Definite Integral, Continuous Random Variables, The Normal Distribution, Arithmetic and Geometric Sequences and Series, Modelling Investments and Loans.

Students will begin Term 2 with Applications of the first and second derivative.

In The anti-derivative – define anti-differentiation as the reverse of differentiation, using indefinite integral notation to find functions from their derivatives.

In Areas and the definite integral – area under and between curves using approximation techniques like the Trapezoidal rule and exact methods via definite integrals. By applying the Fundamental Theorem of Calculus, they will interpret signed areas and use integration to determine total change in practical contexts.

In Continuous random variables, The normal distribution – applying appropriate statistical processes and utilising technology and critical thinking to model various contexts and construct formal arguments.

In Arithmetic sequences and series, Geometric sequences and series, Modelling investment and loans – focuses on applying arithmetic and geometric sequences and series to financial contexts like borrowing and investing.

During Term 2, students will complete Task 3 Past Papers Assessment. It contributes 20% of the overall assessment for the course.