Basic Algebra Revision

Simultaneous Equations

Use algebraic and graphical methods to solve real problems involving linear simultaneous equations and inequalities (on graphs using dashed lines when boundaries are not included, full lines when boundaries are included and shading to indicate regions not included).
Use substitution of numerical values in equations and inequalities to verify that solutions are valid.

Methods of Solving Equations

Gradients of Curves: Minima & Maxima

Calculate and understand gradient at a point on a graph using tangents drawn by hand (and also using zoom and trace facilities on a graphic calculator or computer if possible).
Use and understand the correct units for rates of change.
Interpret and understand gradients in terms of their physical significance.
Identify trends of changing gradients and their significance both for known functions and curves drawn to fit data.

Linear Functions

Quadratic Functions

Power Functions and Inverse Functions

Logarithmic Functions & Graphs

Growth and Decay- Exponential Graphs

Trigonometric Graphs