Your Basket 0 items - £0.00

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.

January 1, 2021

Problem solving lesson on two-way tables and frequency trees.

December 20, 2020

Three typical exam questions to revise on plotting quadratic, cubic and reciprocal graphs.

December 2, 2020

Linking cumulative frequency graphs to ratio, percentages and financial mathematics.