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Brainlag Learn / GCSE Maths

Quadratics

Expanding and factorising, three ways to solve, and what the graph of a quadratic tells you.

Lessons

  1. Expanding and factorisingMultiply out double brackets, then run it backwards: factorise x² + bx + c, differences of two squares and common factors. 25 min, with the Graph Plotter, free
  2. Solving by factorisingIf two things multiply to zero, one of them is zero. Use it to solve quadratic equations, and avoid the divide-by-x trap. 20 min, with the Equation Solver, free
  3. The quadratic formulaSolve any quadratic with the formula, round sensibly, and use b² − 4ac to count the solutions before you start. 25 min, with the Equation Solver, Plus, Higher tier
  4. Completing the squareRewrite x² + bx + c as (x + p)² + q to find turning points, exact solutions and minimum values. 25 min, with the Graph Plotter, Plus, Higher tier
  5. Quadratic graphsPlot quadratic graphs from a table, read roots and turning points off them, sketch from factors and solve inequalities. 25 min, with the Graph Plotter, Plus

Practise and test

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