| Percentages Maths Home Page |
| Lesson |
Details & links | Assessed work / further work / QMA | My Learning | My Thinking | My Research | My Feelings | My Peers |
| Preliminary work on percentages Find a percentage of an amount (the basics) My Maths percentage of an amount 1 CB: answer questions on slides 5, 7 and 8 online Find a percentage of an amount (more difficult) My Maths percentage of an amount 2 CB: work through all slides, answering questions online |
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| 1 | Starter: finding percentages of quantities with
and without a calculatorCalculator method (change the % to a decimal
and multiply) · 36% of 120 = 0.36 x 12 Main: increasing/decreasing a quantity by a percentage using multiplicative methods (use of a percentage multiplier is expected):Calculator method (change the % to a decimal and multiply) · Increase 60 by 15% = 115% of 60 = 1.15 x 60 · Decrease 60 by 15% = 85% of 60 = 0.85 x 60 · Using the % key on a calculator My Maths lesson Increase or decrease an amount by a % CB |
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| 2 | Starter: compound interest without a calculator
e.g. £550 is invested at 10% per annum compound interest, how
much will there be after 2 years? Main: compound interest with a calculator (using multipliers) My Maths lesson - Slides 1-6 Teachers TV on Calculating Interest Worksheet to complete whilst watching Teachers TV Note that problems involving simple interest for more than one year will not be set but that compound interests on investments up to 20 years could be assessed. |
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| 3 | Starter: In the last 2 weeks of a sale prices are
reduces first by 30% and then by a further 40% of the new price. What
is the final sale price of a shirt which originally cost £15.
Want pupils to appreciate that this is not the same as working out 70%
of £15 and subtracting it from £15. Calculator method: 15 x 0.7 x 0.6. Want pupils to appreciate that this is the same as 15 x 0.42 i.e. the shirt has actually been reduced by 58% overall. Example Questions JEE Successive Percentage Change CB Main: repeated percentage change including compound interest Plenary: solving problems E.g. a seal colony is decreasing at 12% per annum. If the original population is 2000, after how many years will the population have fallen to half its original number? (Calculator) |
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| 4 |
Starter: expressing one quantity
as a fraction or percentage of another (non-calculator) Main: expressing one quantity as a percentage of another including percentage change (calculator) Easiteach lesson ck Teachers TV on Percentage Change Worksheet to complete whilst watching Percentage Change Method: write change/original as a fraction then multiply by 100 |
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| 5 |
Starter: To increase sales the
price of a magazine is reduced by 5%. Find the original price if the
new price is £1.90. Want pupils to appreciate that you can’t just
add 5% onto £1.90 because its 5% of the original price. Main: reverse percentages My Maths - Slides 7, 8, 9 Plenary: After a 7% decrease the cost of a TV is £232.50. What was the original price? A meal in a restaurant costs £36 with VAT at 17.5%. What was the price before the VAT was added? |
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| 6 |
Starter: Ben buys a car. In the
first year it loses 32% of its value and during the second year it
loses another 17% of its value. By what percentage has the value of the
car decreased in the 2 years?Method: value x 0.68 x 0.83 = value x
0.5644 = 43.6% decrease Main: more complicated percentage questions – see past papers Mymaths link: Booster pack – A 2 A* - Percentage and exponentials – revise it (problems 1, 2, 3 and 5) and online worksheet (problems 1, 2 and 3) |