Solving Quadratic Equations by Formula - First Steps WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Substitution. Operations with directed numbers. Finding solutions to quadratic equations bu factorising.

Solving Quadratic Equations by Formula - First Steps WORKSHEET DESCRIPTION

This worksheet introduces students to solving quadratic equations using the quadratic formula in a carefully structured way.

Section A focuses on developing fluency with key components of the formula, asking students to calculate discriminants and related expressions for different quadratic equations. This reinforces essential skills before full application.

In Section B learners complete missing steps in worked examples. This helps them understand how values of a, b, and c are substituted into the formula and how each stage of the calculation unfolds, making the method clear and less intimidating.

Finally, Section C provides a varied set of quadratic equations for students to solve independently, consolidating their understanding and building confidence.

The progression from focused skills to scaffolded practice and then to independent application makes this worksheet ideal as a first introduction to the quadratic formula, ensuring students grasp both the method and its underlying structure.