Graphical Functions

March 12, 2023

Scheme of work: GCSE Foundation: Year 11: Term 1: Graphical Functions

Prerequisite Knowledge

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

Success Criteria

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

Key Concepts

To generate the coordinates 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

Common Misconceptions

Students often have difficulty substituting negative values for 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.

Graphical Functions Resources

Mr Mathematics Blog

3D Vectors – Year 2

September 22, 2023

A-Level Scheme of work: Edexcel A-Level Mathematics Year 2: Pure 2: 3D Vectors

Parametric Equations

September 21, 2023

Edexcel A-Level Mathematics Year 2: Pure 2: Parametric Equations

Radians

September 21, 2023

Edexcel A-Level Mathematics Year 2: Pure 2: Radians