# Inequalities

Scheme of work: GCSE Foundation: Year 10: Term 6: Inequalities

#### Prerequisite Knowledge

• Order positive and negative integers
• apply the four operations, including formal written methods, to integers, both positive and negative;
• solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation)

#### Success Criteria

• Solve linear inequalities in one variable;
• represent the solution set on a number line;
• understand and use the concepts and vocabulary of expressions, equations, formulae, identities and inequalities

#### Key Concepts

• Knowledge of <,>, >= and <= notation are critical to this topic. Numbers which are less or greater than but not equal to are represented on a number line with a hollow circle. Full circles are used when an inequality can be equal to a number.
• Inequations have a set of solutions whereas equations have distinct solutions.
• Inequations can be solved using the balance method.
• When dividing or multiplying both sides of an inequality by a negative number the sign is reversed.

#### Common Misconceptions

• Students are often confused with the direction of the inequality sign. Use the number line to show < represents less than and > means greater than.
• Inequalities such as 5 < x <= 10 represent x as any value greater than 5 and less than or equal to 10. Encourage students to read such inequalities in two directions i.e., 5 < x and x <+ 10.

## Inequalities 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.