What does equivalent mean?

1. Copy this square exactly and shade in a quarter in as many different ways as you can. You have 5 minutes

2. What doesequivalentmean? LO: To change between equivalent fractions including improper and mixed numbers (5)To order fractions by using equivalence (6)

3. Equivalent fractions ×2 ×3 ×2 ×3 Look at this diagram: 3 6 18 = = 4 8 24

4. Equivalent fractions ×3 ×4 ×3 ×4 Look at this diagram: 2 6 24 = = 3 9 36

5. Equivalent fractions ÷3 ÷2 ÷3 ÷2 Look at this diagram: 18 6 3 = = 30 10 5

6. Equivalent Fractions * Extension * Write as many fractions as you can that are equivalent to

7. LO: To change between equivalent fractions including improper and mixed numbers (5)To order fractions by using equivalence (6)

8. 5 5 5 5 24 12 12 24 12 12 Now, write and as equivalent fractions over 24. 3 3 3 3 ×3 ×2 8 8 8 8 = < = ×3 ×2 Which is bigger or ? Another way to compare two fractions is to convert them to equivalent fractions. Step 1: Find the lowest common multiple of 8 and 12. The lowest common multiple of 8 and 12 is 24. 9 10 and so,

10. Ordering Fractions For each question, put the fractions in order: • Clue: make them all into eighths

11. LO: To change between equivalent fractions including improper and mixed numbers (5)To order fractions by using equivalence (6)

12. Show me A fraction that is bigger than 1 But does NOT have a denominator of 2 2

13. Show me A fraction that is bigger than 1 But does NOT have a denominator of 3 3

14. Show me A fraction that is bigger than 2 But does NOT have a denominator of 3 3

15. Show me A fraction that is equivalent to 2 3

16. Show me A fraction that is equivalent to 5 8

17. LO: To change between improper and mixed numbers (5)

18. LO: To change between improper and mixed numbers (5) STARTER - put the fractions in order: • Clue: make them all into ninths • Clue: make them all into twenty-fourths

19. 15 15 15 is an improper fraction. 4 4 4 3 3 4 LO: To change between improper and mixed numbers (5) Improperfraction – When the numerator of a fraction is larger than the denominator For example, We can write improper fractions as mixed numbers. can be shown as =

20. + + + + = 1 1 1 1 5 8 8 8 5 8 = + + + + 8 8 8 8 8 8 37 37 37 = 8 8 8 4 4 4 4 5 5 5 = 8 8 LO: To change between improper and mixed numbers (5) Convert to a mixed number. This number is the remainder. 4 37 ÷ 8 = 4 remainder 5 This is the number of times 8 divides into 37.

21. LO: To change between improper and mixed numbers (5) Convert these improper fractions into mixed numbers: 1a) 5/3 1b) 21/5 1c) 33/5 2b) 19/3 2c) 50/6 2a) 11/4 3a) 10/3 3b) 27/8 3c) 39/4 4b) 15/2 4c) 40/12 4a) 9/8

22. LO: To change between improper and mixed numbers (5) Now check your answers… 1a) 12/3 1b) 41/5 1c) 63/5 2b) 61/3 2c) 82/3 2a) 23/4 3a) 31/3 3b) 33/8 3c) 93/4 4b) 71/2 4c) 34/12 4a) 11/8

23. 3 3 1 1 1 = + + + 7 2 2 2 7 2 7 7 7 7 7 7 7 7 = + + + 23 = 7 7 LO: To change between improper and mixed numbers (5) Convert to an improper fraction … and add this number … To do this in one step, 3 3 … to get the numerator. 2 2 23 = 7 7 Multiply these numbers together …

24. LO: To change between improper and mixed numbers (5) Convert these mixed numbers into improper fractions 1c) 52/3 1a) 11/2 1b) 32/3 2c) 23/5 2b) 51/4 2a) 21/4 3c) 63/8 3a) 31/5 3b) 42/5 4c) 42/8 4b) 61/3 4a) 41/2

25. LO: To change between improper and mixed numbers (5) Now check your answers… 1a) 3/2 1b) 11/3 1c) 17/3 2b) 21/4 2c) 13/5 2a) 9/4 3a) 16/5 3b) 22/5 3c) 51/8 4b) 19/3 4c) 34/8 4a) 9/2

26. Find the missing number

27. Convert mixed to improper: * WAGOLL * Convert improper to mixed: * WAGOLL *