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Reference: Pearson Edexcel International A Level Pure Mathematics 1 Student Book. This module builds the P1 toolkit: algebraic fluency, graphs, coordinate geometry and first differentiation.
Main skills from this lesson
Collect like terms, factorise, expand brackets and rearrange formulae before choosing a method. A clean algebra line usually makes the rest of the solution shorter.
simplify -> solve
State restrictions such as x!= 0 when needed.
A graph can show intersections, roots and turning points. Link the equation to the visual shape, then use algebra to confirm exact values.
y = f(x)
Sketches should show intercepts and key features.
Differentiation finds the gradient function. If y = ax^n, then dy/dx = anx^(n-1). Use this for tangents, normals and stationary points.
gradient = dy/dx
Differentiate, substitute, then interpret.
Continue with quizzes, flashcards, or games when you are ready.