# Multiplying and Dividing with Fractions

Scheme of work: Key Stage 3: Year 8: Term 3: Multiplying and Dividing with Fractions

#### Prerequisite Knowledge

• Order positive and negative integers, decimals and fractions; use the number line as a model for ordering the real numbers; use the symbols =, <= , <, >, >=
• Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative

#### Key Concepts

• When multiplying and dividing with fractions students should cross-simplify the question to cancel out common terms.
• Visualising division with fractions and mixed numbers helps students understand the written methods.
• To divide with fractions, students need to understand reciprocals and how to multiply and divide with 0.1 and 0.01.
• Answers should be left in their simplest terms.

#### Working Mathematically

• Develop fluency
• Consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals and fractions.
• Reason mathematically
• Extend their understanding of the number system; make connections between number relationships, and their algebraic and graphical representations
• Solve problems
• Develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems.

#### Subject Content

• Number
• Use conventional notation to prioritise operations, including brackets, powers, roots and reciprocals.
• Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative
• Use a calculator and other technologies to calculate results accurately and then interpret them appropriately

## Multiplying and Dividing with Fractions Resources

### Mr Mathematics Blog

#### Problem-Solving with Angles in Polygons

How to teach problem solving with angles in polygons through scaffolding.

#### The Sum to Infinity of Geometric Series – A-Level Maths Tutorial

Explore geometric series in our A-Level Maths tutorial. Perfect for students/teachers, with resources to download at mr-mathematics.com.

#### Sequences and Series

Edexcel A-Level Mathematics Year 2: Pure 2: Algebraic Methods