Make senior maths feel more approachable. Strengthen your algebra, connect equations to graphs and develop the independence to tackle more demanding questions.
Personalised supportEffective study skillsOnline or in person
Recognise the pattern. Choose your next step.
A LOOK INSIDE YOUR LEARNING
Turn a quadratic into two simple equations.
We connect factorisation to the meaning of a solution, so the technique feels useful rather than mechanical.
Understand the concept.
Work through a clear example.
Build confidence with your own practice.
dn.YOUR LEARNING, STEP BY STEP
YEAR 10 · QUADRATICS
x² − 5x + 6 = 0
Solve x² − 5x + 6 = 0 by factorising.
See the step-by-step approach+
Spot the structure
Find two numbers whose product is 6 and whose sum is −5.
−2 × −3 = 6 · −2 + −3 = −5
Write the factors
Use those numbers to rewrite the expression.
(x − 2)(x − 3) = 0
Use the zero-product rule
At least one factor must equal zero. These are also the x-intercepts of the graph.
x = 2 or x = 3
A solution is more than a number: it connects to the graph.
Original illustrative teaching example · booklet layout preview
THE BIG PICTURE
What you’ll learn.
Key areas we can work through together, matched to your school’s program and current level.
Number
Real-number calculations, growth and decay. Recognise how quantities change and interpret the result in context.
Algebra
Quadratic equations and linear, quadratic and exponential models. Connect the equation, graph and real situation.
Measurement
Surface area and volume. Plan multi-step calculations and keep units consistent.
Space
Similarity, Pythagoras and trigonometry. Choose the relationship that suits the information given.
Statistics
Boxplots and scatterplots. Compare distributions and interpret relationships between variables.
Probability
Combined events, independence and conditional probability. Use organised representations to make complex information easier to follow.
BEYOND THE ANSWER
Skills we’ll build.
Our tutoring focus: understanding the idea, practising with purpose, and becoming more independent.
Select and justify a method for unfamiliar questions.
Link algebraic solutions to graphs and real situations.
Plan revision around gaps and upcoming assessments.
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.
YOUR NEXT STEP
Make it clearer, together.
Start with your questions. We’ll build a plan around your classwork, confidence and upcoming assessments.
