Quadratic functions and their graphs can be used to model many different situations. Students know the various forms that a quadratic function can take: standard form, turning-point form and factorised form. Students have investigated the properties of these graphs and are able to state the shape, the axis of symmetry and the vertex. They can now sketch quadratic graphs using the salient features found from using algebra or their graphic calculator.
Students have also carried out investigations using their graphic display calculator and graphing packages to examine the effects of transformations. They have been looking at the effects of changes to the equations by comparing graphs and reflecting. They are now learning to use quadratic models to solve real-life problems, for example to find the maximum height of spray from a fountain or to find the dimensions of a rectangle with a particular area.
The Year 12 HL Mathematics class have been studying calculus and, in particular, integration. They have learnt how to apply calculus rules to calculate volumes of solids formed by rotating shapes through 360 degrees about an axis. This embedded the understanding that 3D shapes can be formed by rotating 2D ones and that the volume can be found through calculus. Students learnt that this area of Mathematics can be used to find volumes of irregular objects, for example eggs, by algebraic methods. The students engaged deeply through group discussion and peer teaching that ensured that everyone understood the topic to depths required at this level.
Mr Clem Parrish, Head of Mathematics