Solve by factorising.
Worked example
Spot the structure
Write the factors
Use the zero-product rule
A solution is more than a number: it connects to the graph.
Sample learning booklet · original teaching example
Daniel NguyenTUTORINGMATHS & PHYSICSMake senior maths feel more approachable. Strengthen your algebra, connect equations to graphs and develop the independence to tackle more demanding questions.
We connect factorisation to the meaning of a solution, so the technique feels useful rather than mechanical.
Solve by factorising.
A solution is more than a number: it connects to the graph.
Sample learning booklet · original teaching example
Key areas we can work through together, matched to your school’s program and current level.
Real-number calculations, growth and decay. Recognise how quantities change and interpret the result in context.
Quadratic equations and linear, quadratic and exponential models. Connect the equation, graph and real situation.
Surface area and volume. Plan multi-step calculations and keep units consistent.
Similarity, Pythagoras and trigonometry. Choose the relationship that suits the information given.
Boxplots and scatterplots. Compare distributions and interpret relationships between variables.
Combined events, independence and conditional probability. Use organised representations to make complex information easier to follow.
Our tutoring focus: understanding the idea, practising with purpose, and becoming more independent.
Curriculum reference: Victorian Curriculum Mathematics. This is a topic overview, not a fixed lesson sequence. Schools may organise topics differently; extension content is discussed individually.
Start with your questions. We’ll build a plan around your classwork, confidence and upcoming assessments.
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