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Fractions

Egyptian Fractions. Fractions. Using a to Find Fractions. Percentages. Using a to Finding a Percentage. www.mathsrevision.com. Percentage Increase and Decrease. Rates and Working out Rates. S4. Starter Questions. www.mathsrevision.com. 2cm. 3cm. 10cm. S4.

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Fractions

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  1. Egyptian Fractions Fractions Using a to Find Fractions Percentages Using a to Finding a Percentage www.mathsrevision.com Percentage Increase and Decrease Rates and Working out Rates Compiled by Mr. Lafferty Maths Dept.

  2. S4 Starter Questions www.mathsrevision.com 2cm 3cm 10cm Compiled by Mr. Lafferty Maths Dept.

  3. S4 Egyptian Fractions Learning Intention Success Criteria • To understand the term Egyptian Fraction. • To understand what an Egyptian Fraction is and how to solve problems. • Be able to solve • Egyptian Fraction problems . www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  4. How long ago is this? Top number ALWAYS 1 is called the numerator 1 5 Bottom number is called the denominator Egyptian Fractions S4 Egyptian Fractions were invented in 3000 BC A Egyptian Fraction consists of 2 parts. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  5. Stored in the British Museum in London Egyptian Fractions S4 Egyptian Fractions were invented in 3000 BC It was a 25 year old Scotsman, Henry Rhind who brought the first evidence of Egyptian Fractions to Britain. He bought at a market in Luxor, Egypt, in 1858 papyrus scrolls that contained evidence of fractions. These are called the www.mathsrevision.com Rhind Mathematical Papyrus Compiled by Mr. Lafferty Maths Dept.

  6. Egyptian Fractions S4 Write down all the Egyptian Fractions you can see below: www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  7. ‘of’ means ‘x’ Egyptian Fractions S4 How to calculate a fraction of a quantity. of 120 of 120 x 120 x 120 = = www.mathsrevision.com Simply divide the quantity by the bottom number 30 60 Compiled by Mr. Lafferty Maths Dept.

  8. Egyptian Fractions S4 Try these 75 70 40 5.06 www.mathsrevision.com 90 10.1 Compiled by Mr. Lafferty Maths Dept.

  9. Egyptian Fractions S4 Now try Ex 2.1 Ch5 Page 72 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  10. S4 Starter Questions 20cm www.mathsrevision.com 2cm 5cm Compiled by Mr. Lafferty Maths Dept.

  11. = 30 0 0 6 1 8 0 Calculator Fractions S4 Q. Find of £1800 Calculator Keys www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  12. S4 Fractions of a quantity Learning Intention Success Criteria • To know the 2 step for finding a fraction of a quantity. • To show how to use a calculator to calculate a fraction of a quantity. • Be able to calculate the fraction of a quantity. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  13. = 7.5 . 5 2 1 1 4 9 Calculator Fractions S4 Q. Find of £142.50 Calculator Keys www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  14. = 140 0 0 2 3 5 5 Calculator Fractions S4 Q. Of 3500 people surveyed believed that Globe Warming was not a serious problem. How many people believed it was not a problem. Calculator Keys www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  15. Calculator Fractions S4 Now try Ex 2.2 Ch5 Page 74 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  16. S4 Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  17. S4 Percentages Learning Intention Success Criteria • To understand the term percentage. • To explain what the term percentage means and how it is connected to Egyptian Fractions. • Understand connection between percentage, and Egyptian Fractions. www.mathsrevision.com 3. Find a percentage of a quantity. Compiled by Mr. Lafferty Maths Dept.

  18. 31 out of a 100 Percentages S4 When a shape is divided into 100 ‘bits’ each bit is called “ 1 percent” = 1% 31 % means www.mathsrevision.com 7 % means 7 out of a 100 Compiled by Mr. Lafferty Maths Dept.

  19. Percentages S4 The basic Percentages (%) are connected with the Egyptian Fractions. You have 1 minute to write down the basic percentages and there equivalent fraction www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  20. Percentages S4 Answers www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  21. Percentages S4 Q. Change these percentages to fractions out of a 100 Q. Change these fractions to percentages www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  22. Percentages S4 Q. Change these percentages to decimals. Q. Change these decimals to percentages www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  23. Percentages S4 Q. Find 50% of 70 35 Q. Find 25% of 180 www.mathsrevision.com 45 Compiled by Mr. Lafferty Maths Dept.

  24. Percentages S4 Now try Ex 3.1 Ch5 Page 76 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  25. S4 Starter Questions www.mathsrevision.com 6cm 1cm 3cm Compiled by Mr. Lafferty Maths Dept.

  26. Percentages(Calculator) S4 Learning Intention Success Criteria • Use a calculator to find a percentage of a quantity. • To understand how to calculate a percentage of a quantity using a calculator. • Show all working. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  27. = 1 0 0 4 5 x 1 76.5 7 0 Remember money is always 2 decimal places Percentages S4 Q. Find 17% of £450 = £76.50 www.mathsrevision.com Calculator Keys Compiled by Mr. Lafferty Maths Dept.

  28. = 1 0 0 7 x 4 2.8 0 Remember money is always 2 decimal places Percentages S4 Q. Find 4% of £70 = £2.80 www.mathsrevision.com Calculator Keys Compiled by Mr. Lafferty Maths Dept.

  29. = 1 0 0 3 6 5 x 7 2628 3 0 Calculator Fractions S4 Q. 73% of 3600 people in a survey have brown eyes. How many people have brown eyes. Calculator Keys www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  30. Percentages S4 Now try Ex 3.2 Ch5 Page 78 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  31. S4 Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  32. S4 PercentageIncrease / Decrease Learning Intention Success Criteria • Understand terms increase /decrease for percentages. 1. To explain some simple increases and decreases in percentages using shop prices. • Calculate simple increases / decreases in percentages. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  33. S4 Example 1 In a sale the cost of a jumper is reduced by 10%. What is the sale price of the jumper. PercentageIncrease / Decrease www.mathsrevision.com Original Price £35 Sale Price = Created by Mr. Lafferty Maths Dept

  34. S4 Example 2 The total hours of sunshine in June was 260. The total for July was 5% higher than June.. What is the total hours of sunshine in July. PercentageIncrease / Decrease www.mathsrevision.com July Total Hours = Created by Mr. Lafferty Maths Dept

  35. Simple Percentages S4 Now try Exercise 4.1 Ch5 Page 80 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  36. S4 Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  37. Rates S4 Learning Intention Success Criteria • To know the basic percentages. 1. To explain some more basic percentages. • Calculate basic percentage without a calculator. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  38. Rates Example 1 : Mick the mechanic hourly rate of pay is £6.50. Last week he worked 5 hours. What is his basic pay? www.mathsrevision.com Pay is = £6.50 x 5 = £32.50 Created by Mr. Lafferty Maths Dept.

  39. Rates Example 2 : Jim is a joiner his hourly rate of pay is £10.50. He works 40 hours a week. What is his basic pay? www.mathsrevision.com Pay is = £10.50 x 40 = £420.00 Created by Mr. Lafferty Maths Dept.

  40. Example 3 : Wendy can type 300 words in 6 minutes. How many words does she type per minute. Rates www.mathsrevision.com Words per minute 300 ÷ 6 = 50 words Created by Mr. Lafferty Maths Dept.

  41. Example 4 : Six bags of crisps were bought for £2.10. How much for 1 bag of crisps. Rates www.mathsrevision.com 1 bag = £2.10 ÷ 6 = £0.35 Created by Mr. Lafferty Maths Dept.

  42. Rates S4 Now try Ex 5.1 & 5.2 Ch5 Page 82 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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