In this mathematics lesson students learn about sketching quadratic graphs by identifying the y intercept, roots and turning point of the parabola. As learning progresses students interchange between solving quadratics using factorisation, completing the square or the quadratic formula.

**Differentiated Learning Objectives**

- All students should be able to calculate and show the roots of a quadratic in a sketched diagram.
- Most students should be able to sketch a quadratic graph to illustrate its turning point, roots and y-intercept value.
- Some students should be able to use sketched graphs to determine the number of solutions to two or more simultaneous equations.

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