Percentage Change: Increase and Decrease
This lesson covers the calculation of percentage change, a fundamental skill in Year 8 proportional reasoning. Students will learn to express a change as a fraction of the original amount and convert this to a percentage. The lesson moves from simple integer changes to more complex financial contexts involving profit and loss.
Learning objectives
- Calculate the percentage increase or decrease of a value using a formula.
- Identify the 'original' value in a variety of real-life contexts.
- Solve multi-step problems involving profit, loss, and successive percentage changes.
Lesson plan (60 minutes)
Introduction · 10 min
Starter: Retrieval practice on simplifying fractions and converting fractions to percentages.
Instruction · 15 min
Teacher Explanation: Introducing the formula (Change / Original) x 100 with live modelling.
Guided Practice · 10 min
Guided Practice: Students complete three 'We Do' examples on mini-whiteboards.
Independent Practice · 20 min
Independent Practice: Differentiated worksheets (Support, Core, Stretch).
Review · 5 min
Plenary: Multiple-choice quiz to check for understanding and address misconceptions.
Key vocabulary
- Original Value
- The starting value before any change has occurred.
- Change (Difference)
- The difference between the new value and the original value.
- Percentage Increase
- A change that results in a higher value than the original.
- Percentage Decrease
- A change that results in a lower value than the original.
- Profit
- The amount of money gained in a transaction (Selling Price - Cost Price).
Core worksheet (first questions)
- 1. A gym membership increases from £20 to £23 per month. Calculate the percentage increase.
- 2. The weight of a box increases from 250g to 280g. Calculate the percentage increase.
- 3. A runner completes a lap in 50 seconds. After training, they do it in 42 seconds. Calculate the percentage decrease in time.
- 4. A vintage car bought for £40,000 is now worth £47,000. Calculate the percentage increase.
Quiz (sample)
1. A toy originally costs £20 but is increased to £25. What is the percentage increase?
- A. 20%
- B. 25%
- C. 80%
- D. 5%
2. A bag of flour weighs 500g. After some is used, it weighs 450g. What is the percentage decrease?
- A. 10%
- B. 90%
- C. 11.1%
- D. 1%
3. When calculating percentage change, what should the denominator of your fraction be?
- A. The new value
- B. The change in value
- C. The original value
- D. The larger value
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