# Fractions and Mixed Numbers

Scheme of work: GCSE Foundation: Year 9: Term 4: Fractions and Mixed Numbers

#### Prerequisite Knowledge

• Recognise, find and name a half as one of two equal parts of an object, shape or quantity.
• Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity.

#### Success Criteria

• Order positive fractions
• apply the four operations, including formal written methods, simple fractions (proper and improper)
• express one quantity as a fraction of another, where the fraction is less than 1 or greater than 1
• apply the four operations, including formal written methods, to mixed numbers both positive and negative;
• interpret fractions as operators
• express a multiplicative relationship between two quantities as a fraction
• calculate exactly with fractions

#### Key Concepts

• Fractions represent a proportion of an amount hence the equivalence with decimals and percentages.
• A fraction is equivalent to a division
• All rational numbers are written using exact proper or improper fractions.
• When adding or subtracting fractions the denominators need to be equal.
• Dividing fractions is equivalent to multiplying by a reciprocal.

#### Common Misconceptions

• A shape that is split in two is not necessarily split in half. A half must be two equal proportions of a shape.
• A fraction with a larger denominator has the greater value.
• A fraction with a smaller denominator has a lesser value.
• Fractions such as 3/5 incorrectly have a decimal equivalence of 3.5.

## Fractions and Mixed Numbers 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.