Quadratics, made approachable — Years 9 to 10
Quadratics are the gateway to senior maths. They look daunting, but they are built entirely from skills students already have — expanding, factorising and solving — assembled one clear step at a time.
Free for 7 days, then $25/month.
Understanding quadratic equations
A quadratic is just an expression with a squared term, and its graph is a parabola. Students struggle when factorising is shaky or when the link between the equation and its graph is never drawn. Claritute shores up both.
Lessons build from expanding and factorising to solving quadratic equations and sketching parabolas (non-linear relationships). Aligned to the NSW Stage 5 outcomes and a core foundation for HSC maths — though Claritute covers to Year 10, not the senior courses themselves.
What you’ll learn
18 Claritute lessons cover quadratic equations across Years 9–10 — each one visual and step-by-step.
Expanding binomial products
Factorising quadratics
Solving quadratic equations
The parabola and its graph
Non-linear relationships
Why families choose Claritute
Find the missing block — fast
A short diagnostic pinpoints exactly which earlier skill is causing the trouble, then builds the plan around it. Foundations first; confidence follows.
Then it’s their turn — every time
Every concept is drawn, not described — 800+ original diagrams — and each worked example hands the pen back with a matching question and a self-check.
Built and taught by Angelo Hanna
Every lesson is written, checked and taught by a registered NSW teacher and mapped to the NSW K–10 syllabus — so home lines up with school. Not scraped, not outsourced.
Where to go next
Frequently asked questions
What is a quadratic equation?
One where the highest power of the unknown is two, like x² − 5x + 6 = 0. Its graph is a U-shaped parabola. Claritute teaches both solving them and graphing them, step by step.
Why do students find quadratics hard?
Usually because factorising is not yet automatic, or because the equation and its graph are taught as separate things. Claritute strengthens factorising first and keeps the algebra and the graph connected.
Is this HSC preparation?
It builds the Stage 5 foundation the HSC is built on. Claritute covers Years 3–10; it does not teach the Year 11–12 HSC courses themselves, but going in with quadratics solid is a major advantage.