5. ES: Application of Number: Fractions Part 1
- 1. FRACTIONS Application of Number Unit 1 Leigh McQuaid
- 2. L E A R N I N G I N T E N T I O N S : • Recall factors and multiples of a number • Recognise fractions of shapes • Write fractions in their simplest form
- 3. M U LT I P L E S Multiples of a number are that number times tables. For example, multiples of 3 are: 3, 6, 9, 12, 15, 18, 21 ….... Work out multiples of 4 by doing times tables: 1 x 4 = 2 x 4 = 3 x 4 = etc
- 4. FAC T O R S Factors of a number are numbers that divide exactly into it. For example, factors of 10 would be 1, 2, 5 and 10 because: 1 x 10 = 10 2 x 5 = 10 5 x 2 = 10 10 x 1 = 10 Another way of thinking about factors is what times tables a number appear in, eg. 10 appears in the 2, 5 and 10 times tables. Find factors of 12 by working out which times tables have 12 in them:
- 5. H I N T Multiples always start with the number itself and increase (they are always bigger than the number) Factors always start with 1 and go up to the number itself (they are always smaller than the number)
- 6. H I N T Factors and multiples of 2 are always even Factors and multiples of 10 are always even Multiples of 5 always end in 5 or 0 Multiples of 10 always end in 0
- 7. Q U I Z T I M E – FAC T O R S A N D M U LT I P L E S https://wordwall.net/play/85140/991/ 822
- 8. W H AT A R E F R AC T I O N S ? The top number on a fraction is the numerator and shows the selected parts of the shape or number The bottom number on a fraction is the denominator and shows the total number of parts The line in the middle is a divide line ½ 2 /3 3 /4
- 9. Complete the first column in the page entitled 'Shaded Fractions'
- 10. S I M P L I F Y I N G F R AC T I O N S Simplifying fractions can also be known as equivalent fractions because they are exactly the same. To simplify a fraction, we must first work what number both numbers can be divided by. 12 can be divided by 2, 3, 4, 6 20 can be divided by 2, 4, 5, 10 Next we choose a number that appears in both lists. It is best to choose the biggest number in both lists, in this case 4
- 11. S I M P L I F Y I N G F R AC T I O N S 12 divide by 4 = 3 20 divide by 4 = 5 3 /5 =
- 12. S I M P L I F Y I N G F R AC T I O N S Another way of simplifying fractions is to keep dividing by a smaller number until you can't any more eg. 12 ÷ 2 = 6 6 ÷ 2 = 3 20 ÷ 2 = 10 10 ÷ 2 = 5 3 /5 = Just remember, if you divide the top number by 2, you MUST divide the bottom number by 2.
- 13. S I M P L I F Y I N G F R AC T I O N S Try these examples: 15 /20 6 /36 10 /120 111 /231 Divide by: 5 2 or 3 or 6 2 or 5 or 10 3 Answer: 3 /4 1 /6 1 /12 37 /77
- 14. Complete the next two columns on the page entitled ' Shaded fractions'
- 15. L E A R N I N G I N T E N T I O N S : • Recall factors and multiples of a number • Recognise fractions of shapes • Write fractions in their simplest form