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S4 Credit. Algebraic Operations. Adding / Sub Indices. Negative Indices. www.mathsrevision.com. Fraction Indices. Harder Indices. S4 Credit. Starter Questions. 1. True or false. Algebraic Operations. S4 Credit. Learning Intention. Success Criteria.

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## Algebraic Operations

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**S4 Credit**Algebraic Operations Adding / Sub Indices Negative Indices www.mathsrevision.com Fraction Indices Harder Indices www.mathsrevision.com**S4 Credit**Starter Questions 1. True or false www.mathsrevision.com**Algebraic Operations**S4 Credit Learning Intention Success Criteria • To explain how to multiply and divide indices by adding / subtracting powers. • Understand basic rules for indices. • 2. Simplify indices. www.mathsrevision.com www.mathsrevision.com**S4 Credit**an 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 Indices x 2 x 2 Calculate : 23 x 22 2 x 2 x 2 = 32 Calculate : 25 = 32 Can you spot the connection ! www.mathsrevision.com**S4 Credit**4 x 4 x 4 = 4 Indices ÷ 4 x 4 Calculate : 43÷ 42 Calculate : 41 = 4 Can you spot the connection ! am x an = a(m + n)simply add powers am÷ an = a(m - n)simply subtract powers www.mathsrevision.com**What Goes In The Box ?**S4 Credit 3f4 x 3g5 = b3 x b5= 2m4 x 3m33= 6m37 b8 8a3 x 7a0 = y9÷ y5 = 10s23÷2s11 = 56a3 y4 5s12 www.mathsrevision.com**Indices**S4 Credit Now try MIA Ex 2.1 & Ex3.1 Ch9 (page 176) www.mathsrevision.com Created by Mr Lafferty Maths Dept**S4 Credit**1. True or false Starter Questions www.mathsrevision.com**Algebraic Operations**S4 Credit Learning Intention Success Criteria • To explain how to hand fractional indices of powers. • Understand basic rules for fractional indices. • 2. Simplify fractional indices. www.mathsrevision.com www.mathsrevision.com**S4 Credit**Fractions as Indices More Rules By the division rule www.mathsrevision.com**S4 Credit**Fractions as Indices More Rules www.mathsrevision.com**What Goes In The Box ?**S4 Credit Re-write each with positive indices w11 9a3 1 www.mathsrevision.com**S4 Credit**More Rules Fractions as Indices www.mathsrevision.com**What Goes In The Box ?**S4 Credit (b3)5= (2m4)2 = 4m8 b15 (y9)-5 = (10s2)3 = y-45 1000s6 www.mathsrevision.com**Indices**S4 Credit Now try MIA Ex 4.1 & Ex5.1 Ch9 (page 178) Created by Mr Lafferty Maths Dept**S4 Credit**Starter Questions 1. Does 5 + 2 x 3 = 11 or 21 www.mathsrevision.com**Algebraic Operations**S4 Credit Learning Intention Success Criteria • To explain how to hand fractional indices of powers. • Understand basic rules for fractional indices. • 2. Simplify fractional indices. www.mathsrevision.com www.mathsrevision.com**S4 Credit**Fractions as Indices www.mathsrevision.com**S4 Credit**Fractions as Indices www.mathsrevision.com**S4 Credit**Fractions as Indices In general we have www.mathsrevision.com**S4 Credit**Fractions as Indices Final Rule www.mathsrevision.com**S4 Credit**Examples : Simplify the following Fractions as Indices www.mathsrevision.com**S4 Credit**Fractions as Indices Examples www.mathsrevision.com**S4 Credit**Fractions as Indices Examples www.mathsrevision.com**S4 Credit**Example : Change to index form Fractions as Indices Example : Change to radical sign √ www.mathsrevision.com**Indices**S4 Credit Now try MIA Ex 6.1 Ch9 (page 181) Created by Mr Lafferty Maths Dept

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