# Inequalities and Inequations

Scheme of work: GCSE Higher: Year 10: Term 2: Inequalities and Inequations

#### Prerequisite Knowledge

• Solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation)
• Plot graphs of equations that correspond to straight-line graphs in the coordinate plane;
• Identify and interpret gradients and intercepts of linear functions graphically and algebraically

#### Success Criteria

• Solve linear inequalities in one or two variable(s), and quadratic inequalities in one variable;
• Represent a solution set on a number line, using set notation and on a graph

#### Key Concepts

• When representing inequalities on a grid, it is easier to plot the straight line first and then decide which side to shade.
• Students need to have a secure understanding of the <, >, â‰¥, and â‰¤ notation for defining inequalities.
• When multiplying or dividing an inequality by -1 the sign changes.
• Solid boundary lines do include the value on the line. Dashed boundary lines do not.

#### Common Misconceptions

• Students tend not to interpret the less than/greater and equal signs correctly
• Confusion often lies in understanding the notation using empty and full circles on a number line.
• Inequations are solved as individual values rather than sets.
• Students often find it difficult to identify the correct region for linear and quadratic inequalities on a grid.

## Inequalities and Inequations 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.