General Mathematics syllabus, dot point by dot point
Every dot point in the SA General Mathematics subject outline, in syllabus order, with a focused answer for each. Open any dot point for the answer, exam-style questions and links to related points.
Topic 1: Modelling with Linear Relationships
Topic overview →How do we use a straight-line equation to model and predict from a real situation?
How do we model a situation whose rate of change shifts at certain points?
How do we find the best decision when several linear constraints limit our choices?
How do we find the point where two linear models meet, and what does break-even mean?
Topic 2: Modelling with Matrices
Topic overview →How can matrices store the connections in a network and count routes between vertices?
How do we predict the future state of a system that moves between categories at fixed rates?
How do we add, scale and multiply matrices, and when is each operation defined?
Topic 3: Statistical Models
Topic overview →How do we measure the strength and direction of a relationship between two variables?
How do we describe and compare values within a bell-shaped distribution?
How do we fit the best straight line to data and use it to predict?
Topic 4: Financial Models
Topic overview →How do we model the loss in value of an asset over time?
How does a loan balance fall as we make regular repayments against compounding interest?
How does money grow when interest compounds, and how do regular savings build an investment?
Topic 5: Discrete Models
Topic overview →How do we find the cheapest route through a network and the greatest flow it can carry?
How do we assign workers to tasks for the lowest total cost or time?
How do we find the shortest time to complete a project of dependent tasks?