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3-Jun-14Created by Mr.Lafferty Maths Dept Algebra Tidying up terms Number Machine Solving Simple Equations www.mathsrevision.com Working with Expressions.

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Presentation on theme: "3-Jun-14Created by Mr.Lafferty Maths Dept Algebra Tidying up terms Number Machine Solving Simple Equations www.mathsrevision.com Working with Expressions."— Presentation transcript:

1 3-Jun-14Created by Mr.Lafferty Maths Dept Algebra Tidying up terms Number Machine Solving Simple Equations Working with Expressions Understanding Inequalities Solving Harder Equations Solving Simple Inequalities MTH 3-14a MTH 3-15a MTH 3-15b

2 3-Jun-14Created by Mr.Lafferty Maths Dept Starter Questions 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. MTH 3-14a MTH 3-15a MTH 3-15b

3 3-Jun-14Created by Mr.Lafferty Maths Dept Aim of the Lesson 1. Tidying up expressions. 2. Show steps when tidying up. a+2b+3a+b Tidying Terms MTH 3-14a MTH 3-15a MTH 3-15b

4 3-Jun-14Created by Mr.Lafferty Maths Dept First Row : + + = 2cc4c ++ = 7c 2nd Row : + + = 2d 3d ++ = 7d Tidying Terms MTH 3-14a MTH 3-15a MTH 3-15b

5 3-Jun-14Created by Mr.Lafferty Maths Dept 3rd Row : + + = 3ff2f ++ = 6f In Total we have 7c + 7d + 6f CANNOT TIDY UP ANYMORE WE CAN ONLY TIDY UP LIKE TERMS Tidying Terms MTH 3-14a MTH 3-15a MTH 3-15b

6 3-Jun-14Created by Mr.Lafferty Maths Dept Tidying Terms WE CAN ONLY TIDY UP LIKE TERMS Tidy up the following: Q1.2x + 4x + 5y -3y + 18 = Q2.4a + 3b + 5a + 6 – b = 6x + 2y a + 2b + 6 MTH 3-14a MTH 3-15a MTH 3-15b

7 3-Jun-14Created by Mr.Lafferty Maths Dept Your turn ! Page 46 Exercise 1 Q1 and Q2 Tidying Terms MTH 3-14a MTH 3-15a MTH 3-15b

8 3-Jun-14Created by Mr.Lafferty Maths Dept Starter Questions Q1.Tidy up the expression Q2.Calculate Q3.Round to 1 decimal place. Q % as a fraction (a)2.34(b)10.25(c)3.23 MTH 3-14a MTH 3-15a MTH 3-15b

9 3-Jun-14Created by Mr.Lafferty Maths Dept Aim of the Lesson 1. To build simple expressions. 2. To UNDO simple expressions. Number Machine MTH 3-14a MTH 3-15a MTH 3-15b

10 3-Jun-14Created by Mr.Lafferty Maths Dept To build an expression from the number machine simply follow the rules given: 4a 7m Number Machine MTH 3-14a MTH 3-15a MTH 3-15b

11 3-Jun-14Created by Mr.Lafferty Maths Dept To build an expression from the number machine simply follow the rules given: b 3b+9 Number Machine MTH 3-14a MTH 3-15a MTH 3-15b

12 3-Jun-14Created by Mr.Lafferty Maths Dept Your turn ! Page 93 Exercise 2 Q1 Number Machine MTH 3-14a MTH 3-15a MTH 3-15b

13 3-Jun-14Created by Mr.Lafferty Maths Dept To UNDO the number machine simply do the opposite of the rules given: UNDO UNDO x2 Number Machine MTH 3-14a MTH 3-15a MTH 3-15b

14 3-Jun-14Created by Mr.Lafferty Maths Dept To UNDO the number machine simply do the opposite of the rules given: UNDO UNDO x4 Number Machine MTH 3-14a MTH 3-15a MTH 3-15b

15 3-Jun-14Created by Mr.Lafferty Maths Dept Your turn ! Page 93 Exercise 2 Q3 and Q4 Number Machine MTH 3-14a MTH 3-15a MTH 3-15b

16 3-Jun-14Created by Mr.Lafferty Maths Dept Starter Questions Starter Questions MTH 3-14a MTH 3-15a MTH 3-15b

17 3-Jun-14Created by Mr.Lafferty Maths Dept Learning Intention Success Criteria 2.Solving expressions showing working. 1.To explain the process of working out expressions by substitution method. 1.Understand process of substitution. Substitution MTH 3-14a MTH 3-15a MTH 3-15b

18 3-Jun-14Created by Mr.Lafferty Maths Dept 1 If a = 3 and b = 9 evaluate a + b 3+9= =12 Sub in a=3 Sub in b=9 Substitution MTH 3-14a MTH 3-15a MTH 3-15b

19 3-Jun-14Created by Mr.Lafferty Maths Dept If a = 3 and b = 9 evaluate ab Sub in a=3 Sub in b=9 Remember ab means a x b a x b 3x9= =27 2 Substitution MTH 3-14a MTH 3-15a MTH 3-15b

20 3-Jun-14Created by Mr.Lafferty Maths Dept 3 If a = 3 and b = 9 evaluate 4b Sub in b=9 Remember 4b means 4 x b 4 x b 4x9= =36 Substitution MTH 3-14a MTH 3-15a MTH 3-15b

21 3-Jun-14Created by Mr.Lafferty Maths Dept If a = 5 and b = 6 evaluate 1.a + b 2.ab 3.3a 4.b - a 5.4b 6.3ab =11 =30 =15 =1 =24 =90 Substitution MTH 3-14a MTH 3-15a MTH 3-15b

22 3-Jun-14Created by Mr.Lafferty Maths Dept If a = 5 and b = 3 evaluate 2a + 4b Sub in a=5 Sub in b=3 Remember 2a means 2 x a 4 2xa + 4xb 2x5+ 4x3 = = = = 22 Substitution MTH 3-14a MTH 3-15a MTH 3-15b

23 3-Jun-14Created by Mr.Lafferty Maths Dept If a = 5 and b = 3 evaluate a Sub in a=5 Remember a 2 means a x a 5 a x a 5x5 = = =25 2 Substitution MTH 3-14a MTH 3-15a MTH 3-15b

24 3-Jun-14Created by Mr.Lafferty Maths Dept Remember a means a ÷ b b If a = 15 and b = 3 evaluate a Sub in a= = =5 b Sub in b = 3 Substitution MTH 3-14a MTH 3-15a MTH 3-15b

25 3-Jun-14Created by Mr.Lafferty Maths Dept If a = 2 and b = 6 evaluate 1)4a + 3b 2)a 2 3)b 2 5)4a 2 4)5b – 3a 6) b a =26 =4 =36 =24 =16 =3 Substitution MTH 3-14a MTH 3-15a MTH 3-15b

26 3-Jun-14Created by Mr.Lafferty Maths Dept Your turn ! Page 94 Exercise 3 Substitution MTH 3-14a MTH 3-15a MTH 3-15b

27 3-Jun-14Created by Mr.Lafferty Maths Dept Starter Questions Starter Questions MTH 3-14a MTH 3-15a MTH 3-15b

28 3-Jun-14Created by Mr.Lafferty Maths Dept 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 Level E Solving Equations MTH 3-14a MTH 3-15a MTH 3-15b

29 3-Jun-14Created by Mr.Lafferty Maths Dept The rule change side change sign The rule we use to solve equations is Equations Write down the opposite of the following : + opposite is x - ÷ - + ÷ x Level E Solving Equations MTH 3-14a MTH 3-15a MTH 3-15b

30 3-Jun-14Created by Mr.Lafferty Maths Dept The rule change side change sign Examples Equations -5 opposite is opposite is -8 Check to see if correct ! Level E Solving Equations MTH 3-14a MTH 3-15a MTH 3-15b

31 3-Jun-14Created by Mr.Lafferty Maths Dept The rule change side change sign Examples Equations times by 3 opposite is divide by 3 times by 8 opposite is divide by 8 Check to see if correct ! Level E Solving Equations MTH 3-14a MTH 3-15a MTH 3-15b

32 3-Jun-14Created by Mr.Lafferty Maths Dept Now try Exercise 4 Ch8 (page 96) Equations Level E Solving Equations MTH 3-14a MTH 3-15a MTH 3-15b

33 3-Jun-14Created by Mr.Lafferty Maths Dept Starter Questions Starter Questions MTH 3-14a MTH 3-15a MTH 3-15b

34 3-Jun-14Created by Mr.Lafferty Maths Dept 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 Level E Harder Equations MTH 3-14a MTH 3-15a MTH 3-15b

35 3-Jun-14Created by Mr.Lafferty Maths Dept The rule change side change sign The rule we use to solve equations is Equations Write down the opposite of the following : + opposite is x - ÷ - + ÷ x Level E Harder Equations MTH 3-14a MTH 3-15a MTH 3-15b

36 3-Jun-14Created by Mr.Lafferty Maths Dept The rule change side change sign Examples Equations +1 opposite is -1 Check to see if correct ! times by 2 opposite is divide by 2 Level E Harder Equations MTH 3-14a MTH 3-15a MTH 3-15b

37 3-Jun-14Created by Mr.Lafferty Maths Dept The rule change side change sign Examples Equations -6 opposite is +6 Check to see if correct ! times by 4 opposite is divide by 4 Level E Harder Equations MTH 3-14a MTH 3-15a MTH 3-15b

38 3-Jun-14Created by Mr.Lafferty Maths Dept Now try Exercise 5 Ch8 (page 97) Equations Level E Harder Equations MTH 3-14a MTH 3-15a MTH 3-15b

39 3-Jun-14Created by Mr.Lafferty Maths Dept Starter Questions Starter Questions MTH 3-14a MTH 3-15a MTH 3-15b

40 3-Jun-14Created by Mr.Lafferty Maths Dept Learning Intention Success Criteria 2.Solving simple inequalities equations. 1.To explain the various symbols for inequalities. Level E Solving Inequalities 1.Know rule the 4 symbols for inequalities. Inequalities MTH 3-14a MTH 3-15a MTH 3-15b

41 3-Jun-14Created by Mr.Lafferty Maths Dept Level E Solving Inequations The equations you were solving were called equations because they contained an = sign. Inequalities greater than less than greater than or equal to less than or equal to There are 4 other Mathematical symbols They are called inequalities : MTH 3-14a MTH 3-15a MTH 3-15b

42 3-Jun-14Created by Mr.Lafferty Maths Dept Level E Solving Inequalities Inequalities Examples : Write in words what each mean. 5 > 3 -7 < -6 y -5 x 2 means 5 is greater than 3 means -7 is less than -6 means x can take the value 2 or greater means y can take the value -5 or less Arrow ALWAYS points to the smallest number MTH 3-14a MTH 3-15a MTH 3-15b

43 3-Jun-14Created by Mr.Lafferty Maths Dept Level E Solving Inequalities Examples : Write out an inequality for the numbers Inequalities (a)14 and 6 (b)-2 and 1 (c)-3 and -7 (d)34 and > 6 -2 < 1 -3 > > -35 MTH 3-14a MTH 3-15a MTH 3-15b

44 3-Jun-14Created by Mr.Lafferty Maths Dept Level E Solving Inequalities Examples : Choosing from -3, -2, -1, 0, 1, 2, 3 Inequalities (a)y < 0 (b)y > 2 (c)y -2 (d)y > 3 -3, -2, , -2 No solution MTH 3-14a MTH 3-15a MTH 3-15b

45 3-Jun-14Created by Mr.Lafferty Maths Dept Now try Exercise 6 Ch8 (page 99) Inequalities Level E Solving Inequalities MTH 3-14a MTH 3-15a MTH 3-15b

46 3-Jun-14Created by Mr.Lafferty Maths Dept Starter Questions Starter Questions MTH 3-14a MTH 3-15a MTH 3-15b

47 3-Jun-14Created by Mr.Lafferty Maths Dept Learning Intention Success Criteria 2.Solving simple inequalities equations. 1.To solve simple inequalities using the same rules as for equations change side change sign. Level E Inequalities 1.Know rule change side change sign. Inequalities MTH 3-14a MTH 3-15a MTH 3-15b

48 3-Jun-14Created by Mr.Lafferty Maths Dept Level E Inequalities Inequalities The Good News Same rule as solving equations The rule change side change sign MTH 3-14a MTH 3-15a MTH 3-15b

49 3-Jun-14Created by Mr.Lafferty Maths Dept The rule change side change sign Examples Inequalities -9 opposite is opposite is -10 Check to see if correct ! Level E Solving Inequalities MTH 3-14a MTH 3-15a MTH 3-15b

50 3-Jun-14Created by Mr.Lafferty Maths Dept The rule change side change sign Examples Inequalities times by 7 opposite is divide by 7 times by 9 opposite is divide by 9 Check to see if correct ! Level E Solving Inequalities MTH 3-14a MTH 3-15a MTH 3-15b

51 3-Jun-14Created by Mr.Lafferty Maths Dept Now try Exercise 7 Ch8 (page 101) Level E Inequalities Inequalities MTH 3-14a MTH 3-15a MTH 3-15b


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