# Graphical Functions

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

#### Planes of Symmetry in 3D Shapes

Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

#### GCSE Trigonometry Skills & SOH CAH TOA Techniques

Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

#### Regions in the Complex Plane

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.