Thurs – Oct 13th – Revision – Expanding / Factorising Quadratics

LEARNING OBJECTIVE: To revise manipulating quadratics by expanding and factorising quadratics and be able to solve reverse percentage questions

SUCCESS CRITERIA: You will be able to quickly expand a bracket (using FOIL/Grid....) and also be able to factorise a quadratic. You will be able to recognise and solve reverse percentage problems

STARTER:

Expand the following equations:

(x + 2)2	(x - 3)2	(x + 5)2	(x - 5)2
(2x + 2)2	(3x + 1)2	(2x -42)2	(3x -5)2
(4 – 3x)2	(3x - 5)2	(5 – 4x)2	(2 - 4x)2

 
 

LESSON: Checking solutions to above, follow up on any issues

Look at how to factorise and then solve these equations

1. x² + 5x + 6 = 0, (x+2)(x+3), x = -2, x = -3
   
2. x² + 6x + 9 = 0, (x+3)(x+3), x = -3
   
3. x² - 5x + 6 = 0, (x-2)(x-3), x = 2, x= 3)
   
4. x² + 9x + 18 = 0, (x+3)(x+6), x = -3, x = -6
   
5. 2x² + x – 12 = 0, (2x )(x )
   
6. 3x² +2x – 8 = 0, (3x - 4)(x + 2 )
   
7. 6x² +7x +6 = 0, (
   

PLENARY: Check answers to above, check issues

Have a go at these questions.

PLENARY: Check Answers and issues