Transcript of "Singapore Maths at Harris Workshop 3"
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Using Bar Model to Solve Word Problemsinvolving whole numbers, fractions, ratios and algebra Harris Federation, London October 2012 Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
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Mathematics is “an excellent vehicle for the development and improvement of a person’s intellectual competence”. Ministry of Education Singapore 2006
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Ratio Example 1 Larry Maria 4 units = $300 1 units = $300 4 = $75 King Solomon Academy, London 3 units = 3 x $75 = $300 - $75 = $225 Maria gets $225.
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Whole Numbers Example 2 John has $34 more than Mary. Together, they have $100. How much money does each of them have? Royston Primary School, London John $34 Mary $100 - $34 = $66 $66 2 = $33 Mary has …. John has ….
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John x $34Mary x 2x + 34 = 100 2x = 100 – 34 = 66 x = 66 2 = 33 Royston Primary School, London
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GCSE Example 4 4 x £3600 = £12000 + £2400 = £14400Last year Jora spent 3 6 30% 10 2030% of his salary on rent 2 4 8 2 5 10 20 of his salary on entertainment 5 1 5 1 of his salary on living expenses. 4 20 4 6 8 5 19He saved the rest of his salary. Jora spent: 20 20 20 20 19 1Jora spent £3600 on living expenses. Jora saved: 1 20 20Work out how much money he saved. £14400 20 = £1440 2 = £…..
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GCSE Example 4Last year Jora spent30% of his salary on rent 5 units =£3600 2 1 unit = £3600 5 of his salary on entertainment 5 = £360 x 2 1 = £720 of his salary on living expenses. 4He saved the rest of his salary.Jora spent £3600 on living expenses.Work out how much money he saved.
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