Maths for Year 12
The Year 12 topics, in the order they are usually taught. All the topics are ready.
- Reciprocal graphs and their transformations
- The equation of a circle
- Circles and lines: tangents and intersections
- The sine rule: the ambiguous case
- Differentiating polynomials
- Root functions: domain and turning points
- Optimisation with derivatives
- Stationary points in modelling
- Integration as the reverse of differentiation
- Definite integrals and areas
- Standard deviation
- Scatter diagrams and regression lines
- Second derivatives and kinematics
- The basic trigonometric identities
- Integration as accumulation: kinematics and areas
- Counting, binomial coefficients and the binomial distribution
- Exponential equations
- Logarithms: laws, graphs and equations
- Exponential growth and decay models
- The number e and exponential graphs
- Perpendicular bisectors and nearest points
- The general equation of a circle