YEAR 12 MATHEMATICS STANDARD 2 2027

TERM 4

TERM 4 – Investments, Ratios and Rates, Relative Frequency and Probability. 

Students will begin Term 4 with the topic, Investments. They will learn to Calculate simple interest for different interest rates and time periods and Compare simple interest graphs for different interest rates and time periods. Students will then Calculate the future value, present value or interest rate of a compound interest investment and will also use spreadsheets to model investments. Solving problems involving shares, savings accounts, term deposits and other investments will also be investigated.

Following this, students will look at the topic, Ratios and Rates. This will involve simplifying ratios and dividing quantities into a given ratio. Solving problems involving scale diagrams and maps will also be looked at. Students will also look at the difference between a ratio and a rate, followed by solving problems involving rates. The trapezoidal rule will be used to solve practical problems including radial surveys. Students will also solve problems involving distance-time graphs, fuel consumption and energy consumption.

Finally, students will move on to the topic, Relative Frequency and Probability. This will include identifying and defining the sample space, using relative frequency as an estimate of probability, calculating the expected frequency of an event occurring and exxamining the use of statistics in probability calculations. Students will also need to determine probabilities for multistage events, construct and interpret Venn diagrams and two-way tables, including using them to solve probability problems.

During Term 4, students will complete Task 1 Assessment Task. It contributes 15% of the overall assessment for the course.