text: # Created by Mr. Lafferty Maths Dept.
  
  ## Presentation on theme: "Created by Mr. Lafferty Maths Dept."— Presentation transcript:
  
  Created by Mr. Lafferty Maths Dept.
  Algebra S4 Removing Brackets & Simplifying Factors Simple Factorising 14-Apr-17 Created by Mr. Lafferty Maths Dept.
  
  Created by Mr. Lafferty Maths Dept.
  Starter Questions S4 2cm 3cm 6cm 2cm 14-Apr-17 Created by Mr. Lafferty Maths Dept.
  
  Created by Mr. Lafferty Maths Dept.
  Algebra Removing Brackets & Simplifying S4 Learning Intention Success Criteria 1. Understand how to remove brackets 1. Explain how to remove brackets and simplify. 2. Apply rules integer numbers. 3. Tidy up after removing brackets. 14-Apr-17 Created by Mr. Lafferty Maths Dept.
  
  Created by Mr. Lafferty@mathsrevision.com
  Removing a Single Bracket Example 1 3(b + 5) = 3b + 15 Example 2 4(w - 2) = 4w - 8 14-Apr-17 Created by Mr.
  
  Removing a Single Bracket
  Be careful with negatives !! Removing a Single Bracket Example 3 -2(h + 5) = -2h - 10 Example 4 -(g - 9) = -g + 9 14-Apr-17 Created by Mr.
  
  Removing a Single Bracket
  Be careful only multiply everything inside the bracket Removing a Single Bracket Example 4 8 +2(h + 3) = 8 + 2h + 6 Now tidy up ! = 2h + 14 14-Apr-17 Created by Mr.
  
  Removing a Single Bracket
  Be careful only multiply everything inside the bracket Removing a Single Bracket Example 5 -2(y - 1) + 4 = -2y + 2 + 4 Now tidy up ! = -2y + 6 14-Apr-17 Created by Mr.
  
  Removing a Single Bracket
  Be careful only multiply everything inside the bracket Removing a Single Bracket Example 6 y - (4 - y) = y - 4 + y Now tidy up ! = 2y - 4 14-Apr-17 Created by Mr.
  
  Created by Mr. Lafferty@mathsrevision.com
  Removing a Single Bracket Example 7 a(y - 1) = ay - a Example 8 p(w - 6) = pw - 6p 14-Apr-17 Created by Mr.
  
  Created by Mr. Lafferty@mathsrevision.com
  Removing a Single Bracket Example 9 x(x + 3) = x2 + 3x Example 10 3q(3q -2m) = 9q2 - 6mq 14-Apr-17 Created by Mr.
  
  Created by Mr. Lafferty Maths Dept.
  Algebra Removing Brackets & Simplifying S4 Now try Ex 1 Ch15 (page 172) 14-Apr-17 Created by Mr. Lafferty Maths Dept.
  
  Created by Mr. Lafferty@mathsrevision.com
  Starter Questions S4 Q1. Multiply out (a) a (6h – 3x) Q2. True or false Q3. Write down all the number that divide into 12 without leaving a remainder. 14-Apr-17 Created by Mr.
  
  Created by Mr. Lafferty@mathsrevision.com
  Factors Using Factors S4 Learning Intention Success Criteria To explain that a factor divides into a number without leaving a remainder To explain how to find Highest Common Factors To identify factors using factor pairs Find HCF for two numbers by comparing factors. 14-Apr-17 Created by Mr.
  
  Created by Mr. Lafferty@mathsrevision.com
  Factors Factors S4 Example : Find the factors of 56. Numbers that divide into 56 without leaving a remainder F56 = 1 and 56 2 and 28 4 and 14 7 and 14-Apr-17 Created by Mr.
  
  Factors Highest Common Factor Largest Same Number
  We need to write out all factor pairs in order to find the Highest Common Factor. 14-Apr-17 Created by Mr.
  
  Created by Mr. Lafferty@mathsrevision.com
  Factors Highest Common Factor S4 Example : Find the HCF of 8 and 12. F8 = 1 and 8 2 and 4 F12 = 1 and 12 2 and 6 3 and 4 HCF = 4 14-Apr-17 Created by Mr.
  
  Factors F ab = 1 and ab F2b = 1 and 2b a and b 2 and b HCF = b
  Highest Common Factor S4 Example : Find the HCF of ab and 2b. F ab = 1 and ab a and b F2b = 1 and 2b 2 and b HCF = b
  
  Created by Mr. Lafferty@mathsrevision.com
  Factors Highest Common Factor S4 Example : Find the HCF of 4x and x2. F4x = 1, and 4x Fx2 = 1 and x2 2 and 2x x and x 4 and x HCF = x Example : Find the HCF of 5 and 10x. F5 = 1 and 5 F10x = 1, and 10x 2 and 5x HCF = 5 5 and 2x 14-Apr-17 Created by Mr. 10 and x
  
  Created by Mr. Lafferty@mathsrevision.com
  Factors S4 Find the HCF for these terms 8w (a) 16w and 24w 9y2 and 6y (c) 4h and 12h2 (d) ab2 and a2b 3y 4h ab 14-Apr-17 Created by Mr.
  
  Factors Now try Ex 2 Ch15 (page 173) www.mathsrevision.com S4
  14-Apr-17 Created by Mr. Lafferty
  
  Created by Mr. Lafferty@mathsrevision.com
  Starter Questions S4 Q1. Expand out a (4y – 3x) -2y Q2. Write out in full Q3. True or False all the factors of 5x2 are 1, x, 5 14-Apr-17 Created by Mr.
  
  Created by Mr. Lafferty@www.mathsrevision.com
  Factorising Using Factors S4 Learning Intention Success Criteria To show how to factorise terms using the Highest Common Factor and one bracket term. To identify the HCF for given terms. Factorise terms using the HCF and one bracket term. 14-Apr-17 Created by Mr.
  
  Factorising Example Factorise 3x + 15 1. Find the HCF for 3x and 15 3
  Check by multiplying out the bracket to get back to where you started Factorising S4 Example Factorise 3x + 15 1. Find the HCF for 3x and 15 3 2. HCF goes outside the bracket 3( ) To see what goes inside the bracket divide each term by HCF 3x ÷ 3 = x 15 ÷ 3 = 5 3( x + 5 ) 14-Apr-17 Created by Mr.
  
  Factorising 2(x2- 2xy +3) Example Factorise 2x2 – 4xy + 6
  Check by multiplying out the bracket to get back to where you started Factorising S4 Example Factorise 2x2 – 4xy + 6 1. Find the HCF for 2x2, 4xy and 6 2 2. HCF goes outside the bracket 2( ) To see what goes inside the bracket divide each term by HCF 2x2 ÷ 2 = x2 6 ÷ 2 = 3 4xy ÷ 2 = 2xy 2(x2- 2xy +3) 14-Apr-17 Created by Mr.
  
  Created by Mr. Lafferty@mathsrevision.com
  Factorising S4 Factorise the following : 3(x + 2) (a) 3x + 6 4xy – 2x 6a + 7a2 (d) xy2 -xy + 4x Be careful ! 2x(2y – 1) a(6 + 7a) x(y2 – y + 4) 14-Apr-17 Created by Mr.
  
  Created by Mr. Lafferty@www.mathsrevision.com
  Factorising S4 Now try Ex 3 Ch15 (page 175) 14-Apr-17 Created by Mr.
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