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

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Regions in the Complex Plane

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