Year 9

Quadratics and parabolas

Choose a subtopic, explore its examples and practise with feedback.

Choose a subtopic.

Explore quadratics and parabolas for Year 9. Each subtopic has sample questions and worked answers; choose the skill you want to practise.

Square roots and common factors

Find both roots by taking square roots or taking out a common factor.

Examples, answers and practice

Factorising monic quadratics

Factorise x² + bx + c using a pair with the right sum and product.

Examples, answers and practice

Make, test and investigate.

Predict and investigate function graphs

Predict how changing a parameter will affect the graph. Plot your own test points, reveal the model, record two different parameter runs and explain the evidence.

Guided activity · No grade

Keep exploring.

Year 9 · Solving a quadratic by factorising →Year 9 · Finding a missing side with Pythagoras →

Choose a subtopic.

Square roots and common factors

Factorising monic quadratics

Parabola graphs, roots and turning points

Quadratic models and feasible domains

Infer a quadratic pattern and use it to find or compare stages.

Make, test and investigate.

Predict and investigate function graphs

Keep exploring.