Singapore Maths at Harris Workshop 3

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Workshop 3

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Singapore Maths at Harris Workshop 3

  1. 1. 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
  2. 2. Mathematics is “an excellent vehicle for the development and improvement of a person’s intellectual competence”. Ministry of Education Singapore 2006
  3. 3. 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.
  4. 4. Edgewood Elementary School, New York
  5. 5. 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 ….
  6. 6. John x $34Mary x 2x + 34 = 100 2x = 100 – 34 = 66 x = 66  2 = 33 Royston Primary School, London
  7. 7. Learning Activity  Example 3 1  4 10 1 1  4 4 8 1  4 20
  8. 8. 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 = £…..
  9. 9. 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.
  10. 10. PSLE  Example 5
  11. 11. GCSE  Example 5 7 Peili Peili Nurul Nurul 7 After … 7 Before …
  12. 12. Additional Example on Using BarModel and Number Line to Solve Linear Equations
  13. 13. Equations  Example 6 3y + 1 = 2 Solve 7 – 3y = 1 . 7 3y = 2 – 1 3y = 1 3y 1
  14. 14. Solve 7 – 3y = 1 . 3y = 6 3y 7 1
  15. 15. GlobeAcademy, London
  16. 16. emphasisvisualization

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