| IGCSE - Quadratics |
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| Factorizing and solving quadratics |
- Expanding two brackets to form a quadratic equation.
- Factoring a quadratic equation into one or two brackets.
- Solving a quadratic equation by using factorization.
- Complete the square of a quadratic equation.
- Derive the quadratic formula from completing the square.
- Solve a quadratic equation by use of the quadratic formula.
- Construct and solve quadratic equations.
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| Quadratic graphs |
- Graphing a quadratic curve.
- Interpreting the quadratic curve, finding the y-intercept, x-intercepts and the vertex of the curve.
- Solve quadratic equations from using the graph. This includes the intercept of horizontal lines such as y=0, y=2, etc, and diagonal straight lines.
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| Graphing functions |
- Graphs of quadratics, cubes, reciprocals, straight lines, and power functions. Sketch and recognize different types of curve.
- Interpreting a graph to solve equations graphically.
- Drawing tangents on graphs and finding gradients of curves at given coordinates.
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| Sequences |
- Finding the next term of non-linear sequences such as squares, cubes, power functions.
- Finding formula for non-linear sequences.
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| Proportion |
- Solving direct and indirect proportion questions, including those that use squares and cubes.
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