Journal

Logarithmic functions: properties and equation-solving strategies
Logarithmic functions appear throughout senior secondary mathematics in Australia, from the Mathematical Methods courses in Year 11 and Year 12 to the…
Exponential Functions: Growth and Decay in Real Models
The exponential family of functions describes anything that multiplies by a fixed factor over equal intervals of time. Whether a quantity doubles, halves, or…
Inverse functions: how to find them and check your answer
Inverse functions come up across the Australian senior secondary curriculum right through to first-year university calculus, yet many students find the topic…
Composite Functions: Evaluate, Simplify, and Check Your Work
Functions become especially useful when one rule feeds its output into another. This process is called composition, and it appears in algebra, modelling,…
Understanding functions: domain and range basics
Functions are one of the main ideas connecting algebra, graphs, statistics, and everyday problem-solving. They describe a relationship in which each allowed…
Writing Equations of Parallel and Perpendicular Lines
Lines on a coordinate plane can look simple, yet their equations reveal important relationships. Two lines may never meet because they have the same direction,…
How to calculate wagering requirements for free spins
Free spins are a common online casino promotion, but the advertised number of spins rarely tells the whole story. A bonus may require players to complete a…
Finding the Slope of a Line Given Two Points
The slope of a straight line tells you how steeply it rises or falls as you move along it. If you have ever driven along the Princes Highway from Sydney toward…
Graphing linear equations in slope-intercept form made simple
When Australian secondary students first meet the equation y = mx + b in Year 9 or 10 maths, the letters can feel like a foreign code. Yet slope-intercept form…
Solving systems of linear equations by elimination
A system of linear equations contains two or more equations that must be true at the same time. The solution is the ordered pair that satisfies both equations,…