Algebraic Operations www mathsrevision com S 4 Credit

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Starter Questions www. mathsrevision. com S 4 Credit 1. True or false www. mathsrevision. com

Algebraic Operations www. mathsrevision. com S 4 Credit Learning Intention 1. To explain how to multiply and divide indices by adding / subtracting powers. www. mathsrevision. com Success Criteria 1. Understand basic rules for indices. 2. Simplify indices.

Indices S 4 Credit www. mathsrevision. com an is a short hand way of writing a x a ……. (n factors) a is called the base number and n is called the index number Calculate : 23 x 2 2 Calculate : 25 2 x 2 x 2 = 32 Can you spot the connection ! www. mathsrevision. com

Indices www. mathsrevision. com S 4 Credit Calculate : 43 ÷ 4 2 Calculate : 41 = 4 4 x 4 x 4 ÷ 4 x 4 =4 Can you spot the connection ! am x an = a(m + n) am ÷ an = a(m - n) simply add powers simply subtract powers www. mathsrevision. com

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

Indices www. mathsrevision. com S 4 Credit Now try MIA Ex 2. 1 & Ex 3. 1 Ch 9 (page 176) 12 -Sep-21 Created by Mr Lafferty Maths Dept

Starter Questions S 4 Credit www. mathsrevision. com 1. True or false www. mathsrevision. com

Algebraic Operations www. mathsrevision. com S 4 Credit Learning Intention 1. To explain how to hand fractional indices of powers. Success Criteria 1. Understand basic rules for fractional indices. 2. Simplify fractional indices. www. mathsrevision. com

Fractions as Indices www. mathsrevision. com S 4 Credit More Rules By the division rule www. mathsrevision. com

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What Goes In The Box ? www. mathsrevision. com S 4 Credit Re-write each with positive indices w 11 9 a 3 1 www. mathsrevision. com

Fractions as Indices www. mathsrevision. com S 4 Credit More Rules www. mathsrevision. com

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

Indices S 4 Credit www. mathsrevision. com Now try MIA Ex 4. 1 & Ex 5. 1 Ch 9 (page 178) 12 -Sep-21 Created by Mr Lafferty Maths Dept

Starter Questions www. mathsrevision. com S 4 Credit 1. Does 5 + 2 x 3 = 11 or 21 www. mathsrevision. com

Algebraic Operations www. mathsrevision. com S 4 Credit Learning Intention 1. To explain how to hand fractional indices of powers. Success Criteria 1. Understand basic rules for fractional indices. 2. Simplify fractional indices. www. mathsrevision. com

Fractions as Indices www. mathsrevision. com S 4 Credit www. mathsrevision. com

Fractions as Indices www. mathsrevision. com S 4 Credit www. mathsrevision. com

Fractions as Indices www. mathsrevision. com S 4 Credit In general we have www. mathsrevision. com

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Fractions as Indices www. mathsrevision. com S 4 Credit Examples : Simplify the following www. mathsrevision. com

Fractions as Indices www. mathsrevision. com S 4 Credit Examples www. mathsrevision. com

Fractions as Indices www. mathsrevision. com S 4 Credit Examples www. mathsrevision. com

Fractions as Indices www. mathsrevision. com S 4 Credit Example : Change to index form Example : Change to radical sign √ www. mathsrevision. com

Indices S 4 Credit www. mathsrevision. com Now try MIA Ex 6. 1 Ch 9 (page 181) 12 -Sep-21 Created by Mr Lafferty Maths Dept