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

22-Aug-15Created by Mr.Lafferty Maths Dept Starter Questions 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.

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

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

22-Aug-15Created by Mr.Lafferty Maths Dept 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

22-Aug-15Created by Mr.Lafferty Maths Dept Tidying Terms 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

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

22-Aug-15Created by Mr.Lafferty Maths Dept Starter Questions 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

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

22-Aug-15Created by Mr.Lafferty Maths Dept General Multiplying Terms 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

22-Aug-15Created by Mr.Lafferty Maths Dept = 2w 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 !

22-Aug-15Created by Mr.Lafferty Maths Dept General Multiplying Terms Find the area of each square in terms of powers y y y2y2 b b2b2 b

22-Aug-15Created by Mr.Lafferty Maths Dept 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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! \

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

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!

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

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

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

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

22-Aug-15Created 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 Solving Equations General

22-Aug-15Created 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 Solving Equations General

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

22-Aug-15Created 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 ! Solving Equations General

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

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

22-Aug-15Created 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 Solving Equations General

22-Aug-15Created 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 Solving Equations General

22-Aug-15Created 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 Solving Equations General

22-Aug-15Created 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 Solving Equations General

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

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

22-Aug-15Created by Mr.Lafferty Maths Dept 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

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

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

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

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

22-Aug-15Created by Mr.Lafferty Maths Dept 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

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

22-Aug-15Created by Mr.Lafferty Maths Dept 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

22-Aug-15Created by Mr.Lafferty Maths Dept 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

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