Mon 12th Mar – Solving quadratic Equations by Factorising

LEARNING OBJECTIVE: How to spot the factors in a quadratic equation and then use these to solve it.

SUCCESS CRITERIA: You will be able to factorise a quadratic equation and then work out the solutions.

ENGAGEMENT ACTIVITY:

Expand the following:

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

LESSON: Using the answers to the above explain the process of factorising: Then have ago at factorising and then solving these equations:

1. x² + 8x + 16 = 0
   
2. x² + 6x + 9 = 0
   
3. x² - 16x + 64 = 0
   
4. x² + 11x + 30 = 0
   
5. x² + x – 12 = 0
   
6. x² -5x - 24 = 0
   
7. 2x² + 8x + 6 = 0
   
8. 6x² + 19x + 10 = 0
   
9. x² + 6x + 9 = 0
   
10. 8x² -3x -10 = 0
    

Check Answers

Then have a go at question 14 onwards in second exercise on worksheet

PLENARY: Checking Answers and understanding, Exam question if time