1. Factorising Expressions Lesson Objective: Can you factorise an expression correctly?

2. A* GradeA/B GradeB/C GradeC/D Grade Factorise complex quadratics Factorise two squared numbers Factorise simple quadratics Factorise simple equations Objectives How far can you go?

6. Have a go at factorising these: QuestionsExamples

7. Factorising Two Squared Numbers

8. Identify the Squared Numbers

9. Factorising Two Squared Numbers

10. Factorising Quadratic Expressions Lesson Objective: Can you factorise a quadratic expression? Extension

11. x²?x +8 x x +2 +4 Add to +6x Pairs of numbers that multiply to make “+8”: +1 and +8 -1 and -8 +2 and +4 -2 and -4 Which pair adds to make “+6”?

12. x²?x +16 x x -2 -8 Add to -10x Pairs of numbers that multiply to make “+16”: +1 and +16 -1 and -16 +2 and +8 -2 and -8 +4 and +4 -4 and -4 Which pair adds to make “-10”?

13. x²?x -8 x x +2 -4 Add to -2x Pairs of numbers that multiply to make “-8”: +1 and -8 -1 and +8 +2 and -4 -2 and +4 Which pair adds to make “-2”?

14. x²?x -8 x 3x +5 +1 Add to +16x Pairs of numbers that multiply to make “+5”: +1 and +5 -1 and -5 Which pair, when you multiply one by 3 then add the other, adds to make “+16”? Careful which way round they go!

15. Solving Quadratic Equations by Factorising Lesson Objective: Can you solve a quadratic equation by factorising? Extension

16. Solving Quadratics by Factorising Example 1Example 2

17. Solve by factorising:

18. Simplifying Algebraic Fractions Lesson Objective: Can you simplify algebraic fractions by factorising numerators and denominators? Extension

19. Can you simplify this fraction?

20. What about this fraction? Cancel any brackets that are exactly the same

21. Have a go at simplifying these:

22. Completing The Square Lesson Objective: Can you complete the square? Extension

23. The Quadratic Won’t Factorise Nicely! Half the 8 Square the 4 From the question

24. Try another one… Half the -10 Square the 5 From the question

25. Complete the square for these:

26. The Quadratic Formula Lesson Objective: Can you solve a quadratic by using the quadratic formula? Extension

27. The Quadratic Formula:

28. Example 1: This is the give away that you have to use the formula!

29. Example 2: This is the give away that you have to use the formula!

30. Try solve these to 2d.p.:

31. Quadratic Simultaneous Equations Lesson Objective: Can you solve simultaneous equations involving a quadratic? Extension

32. Make sure they equal zero! It must equal zero!

33. Try this one: