PURE 1
CH 1 - Algebraic Expressions
- Multiply and Divide Powers
- Expand Brackets
- Expand two or three brackets
- Factorise Expressions
- Laws of Indices
- Surds
CH 2 - QUADRATICS
- Solve Quadratic Equations
- Complete the Square
- Quadratics as Functions
- Quadratic Graphs
- The DISCRIMINANT
- Modelling with Quadratics
CH 3 - EQUATIONS & INEQUALITIES
- Linear Simultaneous Equations
- Quadratic Simultaneous Equations
- Simultaneous Equations Graphically
- Linear Inequalities
- Quadratic Inequalities
- Interpret Inequalities Graphically
- Represent Quadratic and Linear Inequalities Graphically
CH 4 - Graphs & Transformations
- Cubic Graphs
- Reciprocal Graphs
- Points of Intersections
- Translating Graphs
- Stretching Graphs
- Transforming Functions
CH 5 - straight line graphs
- Gradient between two points
- Y=MX+C
- Find the Equation of a Line
- Point of Intersection
- Parallel and Perpendicular Lines
- Length and Area Problems
CH 6 - Trigonometric ratio
- Cosine Rule
- Sine Rule
- Area of a Triangle
- Problem Solving
- Sine, Cosine and Tangent Graphs
- Transformations of Trig Graphs
CH 7 - radians
- Radian Measure
- Arc Length
- Area of Sectors
CH 8 - DIFFERENTIATION
- dy/dx and f’(x)
- Tangents and Normals
- Second Derivative
CH 9 - INTEGRATION
- Find y given dy/dx
- Integrate Polynomials
- Find f(x) given a point on the curve