1. www.mathsrevision.com Algebraic Operations Adding / Sub Indices Negative Indices www.mathsrevision.com Fraction Indices Harder Indices S4 Credit

2. www.mathsrevision.com Starter Questions 1.True or false S4 Credit

3. www.mathsrevision.com Learning Intention Success Criteria 1.To explain how to multiply and divide indices by adding / subtracting powers. 1.Understand basic rules for indices. Algebraic Operations 2.Simplify indices. S4 Credit

4. www.mathsrevision.com Indices a n is a short hand way of writing a x a x a ……. (n factors) a is called the base number and n is called the index number Calculate :2 3 x 2 2 x 2 x 2 2 x 2 x 2= 32 Calculate :2 5 = 32 Can you spot the connection ! S4 Credit

5. www.mathsrevision.com Indices Calculate :4 3 ÷ 4 2 ÷ 4 x 4 4 x 4 x 4= 4 Calculate :4 1 = 4 Can you spot the connection ! a m x a n = a (m + n) simply add powers a m ÷ a n = a (m - n) simply subtract powers S4 Credit

6. www.mathsrevision.com What Goes In The Box ? b 3 x b 5 = y 9 ÷ y 5 = 3f 4 x 3g 5 = 8a 3 x 7a 0 = b8b8 y4y4 S4 Credit 56a 3 2m 4 x 3m 33 = 10s 23 ÷ 2s 11 = 6m 37 5s 12

7. www.mathsrevision.com 7-Oct-15Created by Mr Lafferty Maths Dept Now try MIA Ex 2.1 & Ex3.1 Ch9 (page 176) www.mathsrevision.com Indices S4 Credit

8. www.mathsrevision.com Starter Questions 1.True or false S4 Credit

9. www.mathsrevision.com Learning Intention Success Criteria 1.To explain how to hand fractional indices of powers. 1.Understand basic rules for fractional indices. Algebraic Operations 2.Simplify fractional indices. S4 Credit

10. www.mathsrevision.com More Rules By the division rule Fractions as Indices S4 Credit

11. www.mathsrevision.com More Rules Fractions as Indices S4 Credit

12. www.mathsrevision.com What Goes In The Box ? 9a 3 S4 Credit Re-write each with positive indices w 11 1

13. www.mathsrevision.com More Rules Fractions as Indices S4 Credit

14. www.mathsrevision.com What Goes In The Box ? (b 3 ) 5 = (y 9 ) -5 = b 15 y -45 S4 Credit (2m 4 ) 2 = (10s 2 ) 3 = 4m 8 1000s 6

15. www.mathsrevision.com 7-Oct-15Created by Mr Lafferty Maths Dept Now try MIA Ex 4.1 & Ex5.1 Ch9 (page 178) Indices S4 Credit

16. www.mathsrevision.com Starter Questions 1.Does 5 + 2 x 3 = 11 or 21 S4 Credit

17. www.mathsrevision.com Learning Intention Success Criteria 1.To explain how to hand fractional indices of powers. 1.Understand basic rules for fractional indices. Algebraic Operations 2.Simplify fractional indices. S4 Credit

18. www.mathsrevision.com Fractions as Indices S4 Credit

19. www.mathsrevision.com Fractions as Indices S4 Credit

20. www.mathsrevision.com Fractions as Indices In general we have S4 Credit

21. www.mathsrevision.com Fractions as Indices Final Rule S4 Credit

22. www.mathsrevision.com Fractions as Indices Examples : Simplify the following S4 Credit

23. www.mathsrevision.com Fractions as Indices Examples S4 Credit

24. www.mathsrevision.com Fractions as Indices Examples S4 Credit

25. www.mathsrevision.com Fractions as Indices Example :Change to index form Example :Change to radical sign √ S4 Credit

26. www.mathsrevision.com 7-Oct-15Created by Mr Lafferty Maths Dept Now try MIA Ex 6.1 Ch9 (page 181) Indices S4 Credit