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Students learn how to create and use a table of results to plot a quadratic, cubic and reciprocal graphs. As learning progresses they use these graphs to model a range of scenerios and estimate solutions to equations.

This unit takes place in Term 5 of Year 10 and follows straight line graphs.

- plot graphs of equations that correspond to straight-line graphs in the coordinate plane
- recognise, sketch and interpret graphs of linear functions

- Recognise, sketch and interpret graphs of quadratic functions, simple cubic functions, the reciprocal function y = 1/x with x ≠ 0.
- Solve quadratic equations by finding approximate solutions using a graph

- To generate the co-ordinates students need to have a secure understanding of applying the order of operations to substitute and evaluate known values into equations.
- Quadratic, Cubic and Reciprocal functions are non-linear which means they do not have straight lines. All graphs of this nature should be drawn with smooth curves.
- Students need to gain an understanding of the shape of each function in order to identify incorrectly plotted coordinates

- Students often have difficulty substituting in negative values to complex equations. Encourage the use of mental arithmetic.
- By identifying lines of symmetry in each function students will have a greater understanding of the typical shapes for each function.
- By creating the table of results students will be more able to choose a suitable scale for their axes.

July 6, 2019

Earlier this week, my school took part in a trial OFSTED inspection as part of getting ready for the new inspection framework in September 2019. This involved three Lead Inspectors visiting our school over the course of two days. The first day involved a ‘deep dive’ by each of the Lead Inspectors into Mathematics, English […]

June 30, 2019

The method of how to solve quadratics by factorising is now part of the foundational knowledge students aiming for higher exam grades are expected to have. Here is an example of such a question. Solve x2 + 7x – 18 = 0 In my experience of teaching and marking exam papers students often struggle with […]

June 24, 2019

When learning how to write 3-part ratios students need to understand how ratios can be made equivalent. The start of the lesson reminds students by asking which of six ratios is the odd one out. This is presented to the class as they come into the lesson. Writing Equivalent Ratios A few students immediately go […]