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Algebraic Operations Adding / Sub Indices Negative Indices Fraction Indices Harder Indices S5 Int2

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Starter Questions 1.Simplify the following fractions : S5 Int2

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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. S5 Int2

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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 ! S5 Int2

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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 S5 Int2

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What Goes In The Box ? b 3 x b 5 = y 9 ÷ y 5 = f 4 x g 5 = a 3 x a 0 = b8b8 y4y4 Exercise 11 Page 209 S5 Int2

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Starter Questions 1.Simplify the following fractions : S5 Int2

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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. S5 Int2

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More Rules By the division rule Fractions as Indices S5 Int2

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More Rules Fractions as Indices S5 Int2

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More Rules Fractions as Indices S5 Int2

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Fractions as Indices Exercise 12 Page 210 S5 Int2

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Starter Questions 1.Rationalise the denominator : S5 Int2

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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. S5 Int2

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Fractions as Indices S5 Int2

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Fractions as Indices S5 Int2

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Fractions as Indices In general we have S5 Int2

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Fractions as Indices Examples : Simplify the following S5 Int2

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Fractions as Indices Exercise 13 Page 211 S5 Int2

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Starter Questions 1.Rationalise the denominator : S5 Int2

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Learning Intention Success Criteria 1.To show how to simplify harder fractional indices. 1.Simplify harder fractional indices. Algebraic Operations S5 Int2

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Fractions as Indices Final Rule S5 Int2

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Fractions as Indices Examples S5 Int2

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Fractions as Indices Examples S5 Int2

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Fractions as Indices Example :Change to index form Example :Change to surd form S5 Int2

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Fractions as Indices Exercise 213 Page 213 S5 Int2

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