3 hours

Year 9 Core

Spring Term

Unit 10

Integers, powers and roots

NNS 52–59

Autumn Term

Spring Term

Summer Term

Support (from Y8 teaching programme) • Recognise and use multiples, factors (divisors), common factor, highest common factor, lowest common multiple and primes • Use squares, positive and negative square roots, cubes and cube roots, and index notation for small positive integer powers
Core (from Y9 teaching programme) • Use the prime factor decomposition of a number • Use ICT to estimate square roots and cube roots • Use index notation for integer powers and simple instances of the index laws
Extension (from Y9 objectives for able pupils) • 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.
Starters	Main	ICT	Scaffolding	Key Questions	Notes
ATM 40 Problems ~ p16 Consecutive numbers (2) MAP ~ Estimating square roots – game	KS3 L3-L5 ~ Y9 Booster Lesson 16: Problem solving MEDIAN Powers ~ Shifting bases ~ Multiple writings ~ Power review ~ 2 3 and 3 2 etc.	~ Spreadsheet for trial & improvement (can even use '=if()' to get 'too big', 'too small')	~ 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?	MAP - Level Ladders ~ Powers, integers, roots MEDIAN Powers ~ Power review (may be used for assessment)