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Fractions PowerPoint Presentation

Fractions

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Fractions

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  1. The Meaning of a Fraction Fractions Fractions of origin amount Equivalent Fractions Percentage (Fraction by another name) Conversion between F, D ,% www.mathsrevision.com Using Percentages Proper Fractions and mixed numbers Ratios Compiled by Mr. Lafferty Maths Dept.

  2. Level E Starter Questions X www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  3. Fractions Learning Intention Success Criteria • 1. To know the NUMERATOR is the top number • 1. To understand the • term Fraction. • 2. To know the DENOMINATOR is the bottom number • 2. To understand that different fractions can have the same value www.mathsrevision.com 3. To be able to work out a fraction of a quantity. Compiled by Mr. Lafferty Maths Dept.

  4. Fractions A Fraction consists of 2 parts. Top number called the NUMERATOR Bottom number called the DENOMINATOR Compiled by Mr. Lafferty Maths Dept.

  5. Fractions Write down the fraction that is shaded in light blue. Compiled by Mr. Lafferty Maths Dept.

  6. Fractions Q. What fraction are the following of a £1 (a) 50p (b) 25p (c) 10p (d) 75p Q. State what the unit of measurement is a millimetre a month a minute Compiled by Mr. Lafferty Maths Dept.

  7. Fractions We can write fractions as decimals by dividing the top by the bottom. example Exercise 2.1 and Exercise 2.2 Page 331 and Page 32 Compiled by Mr. Lafferty Maths Dept.

  8. Level E Starter Questions 5cm 7cm www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  9. Fractions of a quantity Learning Intention Success Criteria • To know the 2 step for finding a fraction of a quantity. • To explain the 2 step process of finding a fraction of a quantity. • Be able to calculate the fraction of a quantity. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  10. Fractions of a quantity of means x in mathematics ! means Simply divide by the denominator Compiled by Mr. Lafferty Maths Dept.

  11. Fractions of a quantity Q. Calculate means Simply divide by the denominator Then multiply the answer by numerator Step 1: Step 2: Compiled by Mr. Lafferty Maths Dept.

  12. Fractions of a quantity Q. Do the calculation below. means Simply divide by the denominator Then multiply the answer by numerator Step 1: Step 2: Compiled by Mr. Lafferty Maths Dept.

  13. Fractions of a quantity Ex 3.1 and 3.2 Page 333 Compiled by Mr. Lafferty Maths Dept.

  14. Level E Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  15. Fractions Learning Intention Success Criteria • 1. To know the NUMERATOR is the top number • 1. To understand the • term Fraction. • 2. To know the DENOMINATOR is the bottom number • 2. To understand that different fractions can have the same value www.mathsrevision.com 3. To be able to simplify fractions. Compiled by Mr. Lafferty Maths Dept.

  16. , , , all represent the same amount and are called equivalent fractions Fractions Write down the fraction that is shaded in light blue. Compiled by Mr. Lafferty Maths Dept.

  17. Fractions Q. Calculate the following All the same value ! Equivalent fractions Compiled by Mr. Lafferty Maths Dept.

  18. Fractions Equivalent Fractions multiply the numerator and the denominator by the same number. Find a equivalent fraction to : Compiled by Mr. Lafferty Maths Dept.

  19. Fractions We can sometimes ‘simplify’ a fraction by finding a number that the numerator and denominator have in common. Compiled by Mr. Lafferty Maths Dept.

  20. Fractions Exercise 4.1 Page 335 Compiled by Mr. Lafferty Maths Dept.

  21. Level E Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  22. Percentages Learning Intention Success Criteria • To understand the term percentage. • To explain what the term percentage means and how it is connected to fractions. • Understand connection between percentages, and fractions. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  23. 31 out of a 100 Percentages It is common to express fractions using a denominator of a 100 means 31 % means 7 % 7 out of a 100 Compiled by Mr. Lafferty Maths Dept.

  24. Percentages Q. Write down the following as a fraction and a decimal. 27% 15% 2% Compiled by Mr. Lafferty Maths Dept.

  25. Percentages Q. Write down the following fractions as equivalent fractions out of a 100 and the percentages. Compiled by Mr. Lafferty Maths Dept.

  26. Percentages Now try Ex 5.1 Page 340 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  27. Level E Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  28. Fractions Percentages Decimals Learning Intention Success Criteria • Learn rules for converting between percentages fractions and decimals. • To understand how to convert between percentages, fractions and decimals. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  29. Fractions Percentages Decimals Copy triangle and use it to convert between fraction decimals and percentages Decimal Fraction www.mathsrevision.com Common Fraction Percentage (P%) Compiled by Mr. Lafferty Maths Dept.

  30. Fractions Percentages Decimals Q. Change the fractions to decimals www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  31. Fractions Percentages Decimals Q. Change the decimals to percentages www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  32. Fractions Percentages Decimals Q. Change the percentages to fractions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  33. Fractions Percentages Decimals Q. Change the percentages to decimals www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  34. Fractions Percentages Decimals Now try Ex 6.1 Page 341 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  35. Level E Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  36. Percentages Learning Intention Success Criteria • To know the fractions of basic simple percentages. 1. To explain some simple percentages. • Calculate simple percentage mentally. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  37. Percentages Copy down and learn the following basic percentages = one half = one tenth = half of 10% = one hundredth = half of 1 % Compiled by Mr. Lafferty Maths Dept.

  38. Percentages Q. Find 16% of £40 Compiled by Mr. Lafferty Maths Dept.

  39. = 0 1 0 1 7 4 5 0 76.5 x of means MULTIPLY Percentages Q. Find 17% of £450 Remember money 2 decimal places Calculator Keys Compiled by Mr. Lafferty Maths Dept.

  40. = 0 1 0 4 7 0 2.8 x of means times Percentages Q. Find 4% of £70 Remember money 2 decimal places Calculator Keys Compiled by Mr. Lafferty Maths Dept.

  41. Percentages Now try Ex8.1 Page 345 Compiled by Mr. Lafferty Maths Dept.

  42. Percentages Q. Find 17.5% of £1200 Compiled by Mr. Lafferty Maths Dept.

  43. Percentages Now try Ex 8.2 Page 346 Compiled by Mr. Lafferty Maths Dept.

  44. Level E Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  45. Proper Fractions and Mixed Numbers Learning Intention Success Criteria • To know the terms proper fraction, mixed number and improper fraction. 1. To explain the terms proper fraction, mixed number and improper fraction and convert between them. • Convert between improper fraction and mixed number. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  46. Proper Fractions and Mixed Numbers How many halves are there in = = Compiled by Mr. Lafferty Maths Dept.

  47. Proper Fractions and Mixed Numbers Is called a proper fraction. ( Numerator is less than denominator ) Is called a mixed fraction. ( whole number and a fraction ) Is called a improper fraction. ( Numerator bigger than denominator ) Compiled by Mr. Lafferty Maths Dept.

  48. Proper Fractions and Mixed Numbers Converting mixed fractions to improper fractions Compiled by Mr. Lafferty Maths Dept.

  49. Proper Fractions and Mixed Numbers Other way round improper fractions to mixed fractions Compiled by Mr. Lafferty Maths Dept.

  50. Proper Fractions and Mixed Numbers Now try Ex 9.1 Ch15 page 348 Compiled by Mr. Lafferty Maths Dept.