DEVELOPING NUMBER
OVERVIEW
Note: Multiplying and Dividing with fractions is down to be taught during Year 8 Autumn 1 in the original WRM scheme but this has been moved here to enable more time to focus on ratio and proportionality. Learners have had lots of experience of multiplying and dividing with fractions in Year 6. In this half term we seek to retrieve this knowledge and deepen understanding.
Following this learners with focus on how to increase and decrease an amount using a percentage multiplier. Financial maths is developed through the contexts introduced eg. profit, loss and interest. Percentage multipliers will then also be used to help learners understand how to calculate percentage change and original amounts following a percentage change.
The original WRM scheme also includes additional work with Standard Form. Across our trust this has been taught in Year 7 in line with the WRM HPA strand and to enable our learners to see standard form in both Maths and Science in Year 8. If time allows please also retrieve work with standard form.
BUILDING ON
Multiplying with fractions and decimals (KS2)
Factorising expressions (Year 8 Spring 1)
Converting between key fractions, decimals and percentages (Year 7 Summer 2)
Calculating key fractions, decimals and percentages of an amount with a calculator (Year 7 Summer 2)
Rounding values to a given number of significant figures and decimal places (Year 7 Autumn 2)
Form and solve simple equations (Year 7 Autumn & Year 8 Spring 1)
Calculate using the order of operations (Year 7 Spring 1)
Work with numbers in Standard Form (Year 7 Autumn 2)
Laws of indices (Year 8 Spring 1)
POWERFUL KNOWLEDGE
Find the product of sets of fractions
Divide with fractions
Simplify algebraic fractions
Use multipliers to increase and decrease by a percentage
Work out percentage change
Find the original amount following a percentage change
Estimate the answer to a calculation
Lesson Resources
Multiplying and Dividing by fractions
Lesson 1 – Multiplying fractions by an integer
Lesson 2 – Multiplying fractions
Lesson 3 – Introduction to division with fractions
Lesson 4 – Reciprocals
Lesson 5 – Dividing by fractions
Fractions & Percentages
Lesson 6 – Percentage of amounts without a calculator
Lesson 7 – Percentage of amounts with a calculator
Lesson 8 – Increasing and decreasing by a percentage
Lesson 9 – Introducing percentage multipliers
Lesson 10 – Repeated percentage change
Lesson 11 – Working out percentage change
Lesson 12 – Reverse percentages using multipliers
Lesson 13 – Reverse percentages without a calculator
Updated July 2024