1. 22-Aug-15Created by Mr.Lafferty Maths Dept Algebra Tidying up terms Multiplying terms Solving Simple Equations www.mathsrevision.com Multiplying out Brackets Solving Equations with Brackets Solving Harder Equations Two sided equations General

2. 22-Aug-15Created by Mr.Lafferty Maths Dept Starter Questions www.mathsrevision.com General Q1.Calculate Q2.Convert 60% to fraction and simplify. Q3.Convert Q4.What is the time difference 09:28 and 10:50 to a percentage. Q5.The answer to the question is 90. What is the question.

3. 22-Aug-15Created by Mr.Lafferty Maths Dept Aim of the Lesson www.mathsrevision.com General 1. Tidying up expressions. 2. Show steps when tidying up. a+2b+3a+b Tidying Terms

4. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com General First Row : + + = 2cc4c ++ = 7c 2nd Row : + + = 2d 3d ++ = 7d Tidying Terms

5. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com General 3rd Row : + + = 3ff2f ++ = 6f In Total we have 7c + 7d + 6f CANNOT TIDY UP ANYMORE WE CAN ONLY TIDY UP “LIKE TERMS” Tidying Terms

6. 22-Aug-15Created by Mr.Lafferty Maths Dept Tidying Terms www.mathsrevision.com General WE CAN ONLY TIDY UP “LIKE TERMS” Tidy up the following: Q1.2x + 4x + 5y - 3y Q2.4a + 3b + 5a - b Q3.10f + 15g + 5f + g 6x + 2y 9a + 2b 15f + 16g

7. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com General Chapter 7 Page 85 Ex 1 Q1 and Q2 Tidying Terms

8. 22-Aug-15Created by Mr.Lafferty Maths Dept Starter Questions www.mathsrevision.com General Q1.Tidy up the expression Q2.Calculate Q3.Round to 1 decimal place. Q4.Write 4 x 4 in terms of powers (a)2.34(b)10.25(c)3.23

9. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Learning Intention Success Criteria 1.To explain how to multiply terms. 1.Understand process of multiplying terms. General Multiplying Terms

10. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com General Multiplying Terms 2 8 3 4 6 5 Find the area of each square in terms of powers 2 x 8 = 163 x 4 = 126 x 5 = 30 2 y 2 x y =2y b 7 x b = 7b 7

11. 22-Aug-15Created by Mr.Lafferty Maths Dept = 2w www.mathsrevision.com Bracket Equations Solve the following equations: (1) 2 x w (2) 4 x 2y (3) 3a x 3b (4) 5h x 5g (5) 9e x 4m (6) 8p x a Examples = 8y = 9ab = 25gh = 36em = 8ap Always put letters in alphabetical order !

12. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com General Multiplying Terms 3 3 5 5 8 8 Find the area of each square in terms of powers 3232 5252 8282 y y y2y2 b b2b2 b

13. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Bracket Equations Solve the following equations: (a) 2 x d (b) 3 x 2y (c) 5a x 4b (d) d x d (e) 6e x 3e (f) 2p x 3p x 4p = 2d = 6y = 20ab = d 2 = 18e 2 = 24p 3

14. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com General Your turn ! Chapter 7 Page 86 Exercise 2 Multiplying Terms

15. 22-Aug-15Created by Mr.Lafferty Maths Dept Starter Questions Starter Questions www.mathsrevision.com General

16. 22-Aug-15Created by Mr.Lafferty Maths Dept Removing brackets (1) 3(b + 5) = 3b This means 3 times b

17. 22-Aug-15Created by Mr.Lafferty Maths Dept Removing brackets (1) 3(b + 5) = 3b + 15 + This means 3 times 5

18. 22-Aug-15Created by Mr.Lafferty Maths Dept Removing brackets (2) 5(8 - f) = 40

19. 22-Aug-15Created by Mr.Lafferty Maths Dept Removing brackets (2) 5(8 - f) = 40 - 5f Tip: Draw lines to keep you right. 5(8 – f) = 40 - 5f

20. 22-Aug-15Created by Mr.Lafferty Maths Dept Removing brackets (3) 4(3b + 2) = 12b 4 x 3b= 4 x 3 x b= 12 x b= 12b

21. 22-Aug-15Created by Mr.Lafferty Maths Dept Removing brackets (3) 4(3b + 2) = 12b + 8 +

22. 22-Aug-15Created by Mr.Lafferty Maths Dept Removing brackets (4) 3(7a – 2b) = 21a

23. 22-Aug-15Created by Mr.Lafferty Maths Dept Removing brackets (4) 3(7a – 2b) = 21a - 6b

24. 22-Aug-15Created by Mr.Lafferty Maths Dept Removing brackets (5) c(3c + b) = 3c² c x 3c= 3c x c= 3c²

25. 22-Aug-15Created by Mr.Lafferty Maths Dept Removing brackets (5) c(3c + b) = 3c² + bc Tip: Remember to draw lines to keep you right. c(3c + b) = 3c² + bc

26. 22-Aug-15Created by Mr.Lafferty Maths Dept Removing brackets (6) 6(5e + 3f - 2) = 30e

27. 22-Aug-15Created by Mr.Lafferty Maths Dept Removing brackets (6) 6(5e + 3f - 2) = 30e + 18f

28. 22-Aug-15Created by Mr.Lafferty Maths Dept Removing brackets (6) 6(5e + 3f - 2) = 30e + 18f- 12 Careful! Tip: Remember to draw lines to keep you right. 6(5e + 3f -2) = 30e + 18f- 12

29. 22-Aug-15Created by Mr.Lafferty Maths Dept Simplifying (1) 4(3a + 5) - 8 = 12a

30. 22-Aug-15Created by Mr.Lafferty Maths Dept Simplifying (1) 4(3a + 5) - 8 = 12a + 20 This is not inside the brackets So don’t multiply! - 8- 8 \

31. 22-Aug-15Created by Mr.Lafferty Maths Dept Simplifying (1) 4(3a + 5) - 8 = 12a + 20 - 8- 8 This can be tidied up = 12a + 12

32. 22-Aug-15Created by Mr.Lafferty Maths Dept Simplifying (2) 3b + 2(5b – 6) = 10b3b + This is not inside the brackets So don’t multiply!

33. 22-Aug-15Created by Mr.Lafferty Maths Dept Simplifying (2) 3b + 2(5b – 6) = 10b3b + - 12 Careful!

34. 22-Aug-15Created by Mr.Lafferty Maths Dept Simplifying (2) 3b + 2(5b – 6) = 10b3b + - 12 This can be tidied up = 13b - 12

35. 22-Aug-15Created by Mr.Lafferty Maths Dept Now try Exercise 3 Ch7 (page 86) www.mathsrevision.com Structured Diagrams

36. 22-Aug-15Created by Mr.Lafferty Maths Dept Starter Questions Starter Questions www.mathsrevision.com General

37. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Learning Intention Success Criteria 2.Solving simple algebraic equations. 1.To solve simple equations using the rule ‘change side change sign’. 1.Know rule ‘change side change sign’. Equations Solving Equations General

38. 22-Aug-15Created by Mr.Lafferty Maths Dept The rule “change side change sign” www.mathsrevision.com The rule we use to solve equations is Equations Write down the opposite of the following : + opposite is x - ÷ - + ÷ x Solving Equations General

39. 22-Aug-15Created by Mr.Lafferty Maths Dept The rule “change side change sign” www.mathsrevision.com Examples Equations -5 opposite is +5 +8 opposite is -8 Check to see if correct ! Solving Equations General

40. 22-Aug-15Created by Mr.Lafferty Maths Dept The rule “change side change sign” www.mathsrevision.com Examples Equations times by 3 opposite is divide by 3 times by 8 opposite is divide by 8 Check to see if correct ! Solving Equations General

41. 22-Aug-15Created by Mr.Lafferty Maths Dept Now try Exercise 4 Ch8 (page 87) www.mathsrevision.com Equations Solving Equations General

42. 22-Aug-15Created by Mr.Lafferty Maths Dept Starter Questions Starter Questions www.mathsrevision.com General

43. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Learning Intention Success Criteria 2.Solving harder algebraic equations by using rule repeatedly. 1.To solve harder equations using the rule ‘change side change sign’. repeatedly. 1.Know rule ‘change side change sign’. Equations Solving Equations General

44. 22-Aug-15Created by Mr.Lafferty Maths Dept The rule “change side change sign” www.mathsrevision.com The rule we use to solve equations is Equations Write down the opposite of the following : + opposite is x - ÷ - + ÷ x Solving Equations General

45. 22-Aug-15Created by Mr.Lafferty Maths Dept The rule “change side change sign” www.mathsrevision.com Examples Equations +1 opposite is -1 Check to see if correct ! times by 2 opposite is divide by 2 Solving Equations General

46. 22-Aug-15Created by Mr.Lafferty Maths Dept The rule “change side change sign” www.mathsrevision.com Examples Equations -6 opposite is +6 Check to see if correct ! times by 4 opposite is divide by 4 Solving Equations General

47. 22-Aug-15Created by Mr.Lafferty Maths Dept Now try Exercise 5 Ch7 (page 88) www.mathsrevision.com Equations Solving Equations General

48. 22-Aug-15Created by Mr.Lafferty Maths Dept Starter Questions Starter Questions www.mathsrevision.com General

49. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Learning Intention Success Criteria 1. To show how to solve equations with brackets. 1. Multiply out brackets. 2. Apply ‘change side change sign’ rule. Equations with Brackets Bracket Equations General

50. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Multiply out the brackets first and then Apply ‘change side change sign’ rule Example Equations with Brackets Bracket Equations General

51. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Example Equations with Brackets Bracket Equations General

52. 22-Aug-15Created by Mr.Lafferty Maths Dept Now try Exercise 6 Ch7 (page 89) www.mathsrevision.com Equations General Bracket Equations

53. 22-Aug-15Created by Mr.Lafferty Maths Dept Starter Questions Starter Questions www.mathsrevision.com General

54. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Learning Intention Success Criteria 2.Solving two sided equations 1.To explain how to solve two sided equations using knowledge we already have 1.Know the rule change side change sign General Equations Two sided equation

55. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Both Sides Equations 4m - 3m=12 - 8 (1) letters to one side m=4 (2) Solve as normal Check correct answer !

56. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Both Sides Equations 7h – 3h=7 + 9 (1) letters to one side h= 16 ÷ 4 (2) Solve as normal Check correct answer ! 4h=16 h= 4

57. 22-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Solve the following equations: (b) 12x - 4 = 4x + 12 (a) 3x - 5 = 2x + 1 (c) 5x + 6 = 3x + 20 x = 6 x = 2 x = 7 Both Sides Equations

58. 22-Aug-15Created by Mr.Lafferty Maths Dept Now try Exercise 7 Ch7 (page 89) www.mathsrevision.com Equations General Two sided equation