Year 8 Term 1 Week 6 - Percentages, Percentage Change, and Reverse Percentage
- Sallyann Clark
- 4 days ago
- 3 min read
Week 6: Percentages, Percentage Change, and Reverse Percentage
Introduction
This week, we bring together everything we’ve learned about fractions and percentages. We’ll start by revising how to find percentages of amounts, then move on to increasing and decreasing by percentages, and finding percentage change. We’ll then tackle reverse percentages before finishing the unit with a final assessment project covering all six weeks.
What should I already know?
How to convert between fractions, decimals, and percentages (Week 5).
How to find simple percentages of numbers (Week 5).
How to add, subtract, multiply, and divide fractions (Weeks 3–4).
How to solve ratio and proportion problems (Weeks 1–2).
Real-World Application – Why This Maths Matters
Percentages are everywhere! They are in shopping discounts, bank interest, sports statistics, and population growth or decline. Understanding increases, decreases, and reverse percentages is vital in finance, science, and everyday decision-making.
Day 1 – Revising Percentages of Amounts
What am I learning Today?
I will be learning to calculate percentages of amounts accurately.
Game
Learn
Watch Math Antics: Finding a percent of a number
Task
MEP 8 9.4: Finding Percentages
Conclusion
Today you practised finding percentages of numbers. This is a foundation skill that will help you calculate increases, decreases, and changes in the next lessons.
Day 2 – Increasing and Decreasing by Percentages
What am I Learning Today?
I will be learning to increase and decrease amounts by a percentage.
Game (revision)
Decentation – MathsPlayground
Learn
Watch CorbettMaths: Increasing and Decreasing Quantities by a Percentage
Task
MEP 8 9.5: Increasing and decreasing quantities by a percentage
Conclusion
You can now increase and decrease numbers by percentages. This is especially useful in finance, such as discounts, taxes, and interest rates.
Day 3 – Percentage Change
What am I Learning Today?
I will be learning to find the percentage increase or decrease between two amounts.
Game
Percentages of amounts - Wordwall
Learn
Watch Percent of Change by Maths with Mr J.
Task
MEP 8 9.6: Percentage Change
Conclusion
You can now measure how much a value has increased or decreased in percentage terms. This skill helps you compare changes fairly, no matter the starting size.
Day 4 – Reverse Percentages
What am I Learning Today?
I will be learning to work backwards from a final amount to find the original using reverse percentages.
Game
Match up Percentage Change - Wordwall
Learn
Watch Century Tech - Reverse Percentages.
Task
MEP 8 9.7: Reverse Percentages
Conclusion
You can now use reverse percentages to find an original amount before a change. This is especially useful in sales, taxes, and business calculations.
Day 5 – Final Assessment Project: Holiday Planner
What am I Learning Today?
I will be learning to apply ratios, fractions, percentages, and proportions in a multi-step project.
The Task
You are planning a holiday abroad. Use your maths skills to solve the following:
Fractions
A flight is 9 hours long. You spend 1/3 of the time sleeping and 2/9 watching films. How much time is left?
Ratio & Proportion
You exchange £600 into euros at a rate of £1 = €1.2. How many euros do you receive?
Proportional Division
You and 2 friends share the €600 in the ratio 2:1:3. How many euros does each person get?
Percentages of Amounts
Your hotel costs €480. You get a 15% discount. How much do you pay?
Percentage Change
The price of a boat trip increases from €50 to €60. What is the percentage increase?
Reverse Percentage
A suitcase costs €85 after a 15% discount. What was the original price?
Conclusion
This week you’ve revised percentages of amounts, learned to increase and decrease values by percentages, calculated percentage change, and solved reverse percentage problems. In your Holiday Planner Project, you applied everything from Weeks 1–6: fractions, ratios, percentages, and graphs. You’ve now completed the Proportional Reasoning unit — congratulations!
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