Graphs

Algebraic graphs connect equations, coordinates, gradients and intercepts. Students interpret straight-line, quadratic and other graphs as visual representations of algebraic relationships and approximate solutions. The topic also tests whether graph features are linked to the correct algebraic meaning, including roots, intersections, rates of change and intercept values. Within Graphs, revision should focus on recognising the mathematical structure before choosing a method, because similar-looking questions can test different skills. A strong answer states the representation being used, shows the key calculation or reasoning step, and checks that the final answer matches the wording, units and accuracy of the question. Common mistakes usually come from applying a familiar procedure without checking the condition in the question, so each step should be linked back to the information given.