YEAR 12 MATHEMATICS ADVANCED 2027

TERM 4

TERM 4 –Further Graph Transformations and Modelling, Discrete Random Variables, Differentiation of Trigonometric, Exponential and Logarithmic Functions.

Students will begin The Year 12 Advanced course in Term 4 by completing Further Graph Transformations and Modelling. Students will explore transformations of Trigonometric Functions, including investigating reflections, translations and dilations of these functions. Students will then Model and solve problems involving periodic phenomena using transformations of the trigonometric functions, including Modelling and solving practical problems. They will also use logarithmic scales to model and solve problems.

Students will then work through the topic, Discrete Random Variables. They will use the relative frequencies of discrete random variable datasets to estimate probabilities. The mean or expected value and variance of a probability distribution will be investigated. The topic will involve solving problems involving probabilities, expectation and variance of discrete random variables.

Finally, students will complete the topic, Differentiation of Trigonometric, Exponential and Logarithmic Functions. They will apply the rules of differentiation to differentiate trigonometric, exponential and logarithmic functions. This will include applying the chain rule, product rule and quotient rule to differentiate these functions. The topic will conclude with students solving problems involving equations of tangents and normals to curves involving any of the functions within the scope of the Mathematics Advanced course.

During Term 1, students will complete Task 1 Assessment Task. It contributes 15% of the overall assessment for the course.