1. Starter Questions 1.Multiply out the brackets and simplify: a) 4(x + 3) + 2b) 3 + 2( x + 4)c) 10 + 2(3x + 4) 2. Find the highest common factor of: a) 8 and 12b) 16 and 18c) 18x and 24 3. Factorise the following: a) 10p + 15qb) 8d – 12fc) 4a + 10b +14c

2. Fractions Learning Intention To understand the term Fraction and be able to simplify fraction.

3. A Fraction consists of 2 parts. 3 5 Top number is called the numerator Bottom number is called the denominatorFractions The denominator tells us the type of fraction we have The numerator tells us the how many we have

4. It is possible to find a fraction equivalent to any fraction that you have by multiplying the numerator and the denominator by any number. Find a fraction equivalent to : x3 x3 x2 x2 Fractions

5. We can sometimes simplify a fraction by finding a HCF between the numerator and denominator. Simplify the fractions below : ÷2 ÷2 ÷ 3 ÷3 Fractions

6. Fractions of a quantity Learning Intention To explain the 2 step process of finding a fraction of a quantity.

7. Q. Do the calculations below. Fractions of a quantity of 120 Simply divide by the bottom number

8. Q. Do the calculation below. Fractions of a quantity of 24 Simply divide by the bottom number Then multiply the answer by top number Step 1:Step 2:

9. Q. Do the calculation below. Fractions of a quantity of 360 Simply divide by the bottom number Then multiply the answer by top number Step 1:Step 2:

10. Learning Intention To understand how to calculate simple percentages without a calculator. Simple Percentages

11. Remember money 2 decimal places Q. Find 17% of £450 Percentages = £76.50 of means times Calculator Keys 1 1 x 4 = 76.5 7 0 0 5 0

12. Copy down and learn the following basic percentages Simple Percentages

13. Q. Find 25% of £40 Percentages

14. Q. Find 5% of £300 Percentages

15. Copy down and learn the following basic percentages Extended Percentages

16. Q. Find 30% of £40 Extended Percentages

17. Q. Find 75% of £600 Extended Percentages

18. Learning Intention To understand how to add and subtract basic fractions. Add / Sub Fractions

19. Fractions A fraction, like, where the numerator is bigger than the denominator is called a ‘Top-Heavy’ fraction. A number,like, consisting of a ‘whole number’ part and a ‘fraction’ part is called a Mixed fraction

20. Top Heavy to Mixed means seven thirds

21. NUMERATOR  DENOMINATOR Top Heavy to Mixed can be written as 7  3 remainder 1

22. NUMERATOR  DENOMINATOR Top Heavy to Mixed can be written as 17  5 remainder 2

23. Changing a mixed fraction to a top-heavy. WHOLE NUMBER  DENOMINATOR then add NUMERATOR 5  4  3 7  5  2 Mixed to Top Heavy  23 quarters  37 fifths

24. Top Heavy to Mixed Examples

25. Top Heavy to Mixed Examples

26. Subtract Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part

27. Harder Fractions Learning Intention To understand how to add and subtract fractions with different denominators.

28. Harder Fractions How can we add /subtract fractions that have different denominators Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify We are going to use the kiss and smile method

29. 2 + Harder Fractions Example 1 Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify 8 4 ÷2

30. 6 - Harder Fractions Example 1 Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify 30 25

31. 18 + Harder Fractions Example 1 Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify 24 20 ÷2 General

32. Harder Fractions How can we add /subtract mixed fractions that have different denominators When dealing with mixed fractions deal with ‘whole’ part first then the fraction part Simple !

33. Harder Fractions 4 + 6 3

34. 16 - 24 21

35. 20 + 24 18 Most Difficult Fractions

36. Subtracting Fractions 8 - 12 3

37. Most Difficult Fractions 5 - 30 6

38. Subtract Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part

39. Multiplying Fractions Learning Intention To show how to multiply basic fractions.

40. Multiplying Fractions Example 1 Example 2 Multiplying basic fractions 1. Multiply the numerators 2. Multiply the denominators

41. Multiplying Fractions Example 3 Example 4 Multiplying basic fractions