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Y9 Booster Lesson 3

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Objectives – what we should be able to do by the end of the lesson Calculate percentages of quantities using a calculator Calculate percentage increases and decreases

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Percentage target board 1M3.1 IncreaseDecrease £4070 cm 300 g1 kg £12650 m by 10%15%100%35%12.5%

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Percentage target board 1M3.1 IncreaseDecrease £4070 cm 300 g1 kg £12650 m by 10%15%100%35%12.5%

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Increase300 g15%by 10% is 15% is10% + 5% 30g 5% is 15g = 30g + 15g =45g 300g + 15% = 300g + 45g = 345g

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Percentage target board 1M3.1 IncreaseDecrease £4070 cm 300 g1 kg £12650 m by 10%15%100%35%12.5%

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Percentage target board 1M3.1 IncreaseDecrease £4070 cm 300 g1 kg £12650 m by 10%15%100%35%12.5%

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Decrease70 cm 12.5%by 10% is 7 cm 2.5% is 1.75cm 12.5% is 10% + 2.5% = 7 cm + 1.75 cm = 8.75 cm 70 cm – 12.5% = 70 cm – 8.75 cm = 61.25 cm

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Percentage target board 1M3.1 IncreaseDecrease £4070 cm 300 g1 kg £12650 m by 10%15%100%35%12.5%

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Using a calculator: A 15% increase: 100% 15% 1+0.15 115% 1.15 Increase £25 by 15%: £25 15% 25 x 1.15 = £28.75

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Decrease 3km by 12.5%: 100%12.5% 1 – 0.125 = 0.875 Decrease 3 km by 12.5% = 3 x 0.875 = 2.625 km ( we need to find 87.5%)

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Percentage target board 2M3.2 IncreaseDecrease £7083 cm 350 g1 kg £12.50650 m by 11%17%120%38%16.5%

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Percentage target board 2M3.2 IncreaseDecrease £7083 cm 350 g1 kg £12.50650 m by 11%17%120%38%16.5% Calculation:350 x 1.17

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Percentage target board 2M3.2 IncreaseDecrease £7083 cm 350 g1 kg £12.50650 m by 11%17%120%38%16.5% Calculation:83 x 1.38

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Percentage target board 2M3.2 IncreaseDecrease £7083 cm 350 g1 kg £12.50650 m by 11%17%120%38%16.5% Calculation:12.5 x 0.835

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Percentage target board 2M3.2 IncreaseDecrease £7083 cm 350 g1 kg £12.50650 m by 11%17%120%38%16.5% Calculation: 70 x 0.89

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Percentage target board 2M3.2 IncreaseDecrease £7083 cm 350 g1 kg £12.50650 m by 11%17%120%38%16.5% Calculation: 650 x 2.2

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Percentage target board 2M3.2 IncreaseDecrease £7083 cm 350 g1 kg £12.50650 m by 11%17%120%38%16.5% Calculation: 70 x - 0.2

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Objectives – how have we done? Calculate percentages of quantities using a calculator Calculate percentage increases and decreases

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Thank you for your attention

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https://es.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions- decimals/cc-7th-fracs-to-decimals/v/converting-fractions-to-decimals-example.

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