3 hours

Year 9 Extension

Spring Term

Unit 9

Integers, powers and roots

NNS 52–59

Autumn Term

Spring Term

Summer Term

Support (from Y9 teaching programme) • Use ICT to estimate square roots and cube roots • Use index notation for integer powers and simple instances of the index laws
Core (from Y9 objectives for able pupils) • Use the prime factor decomposition of a number (to find highest common factor and lowest common multiple) • Know and use the index laws (including in generalised form) for multiplication and division of positive integer powers ; • Begin to extend understanding of index notation to negative and fractional powers, recognising that the index laws can be applied to these as well
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Starters	Main	ICT	Scaffolding	Key Questions	Notes
ATM 40 Problems ~ p8 Approximating roots MEDIAN Powers ~ Fraction powers ~ Comparing power lines	MEDIAN Powers ~ Equations ~ Explanations ~ Shifting bases ~ Multiple writings WORCS ~ Huge powers L7/8 ~ Power twins L8 MAP ~ Multiple Powers	SMILE Spreadsheets make sense ~ A Problem of Power	~ Prime factor spider diagrams ~ Powers - HTU chart	Which is bigger a b or b a ? How do you decide? Which numbers have an odd number of factors. Why? What numbers multiplied by themselves give 36? Can a square have area 45? Give me three factors of 2 6 ? Which has the greatest value (2 3 ) 4 or (2 4 ) 3 ? List all the factors of m 2 n 2 p? Does va + vb = v(a + b)?	MAP – Level Ladders ~ Powers, integers, roots MEDIAN Powers ~ Last digits - possible extension tasks ~ Fermat Numbers