AC9M6N02
identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations
Elaborations
- AC9M6N02_E1using the definition of a prime number to explain why one is not a prime number
- AC9M6N02_E2testing numbers by using division to distinguish between prime and composite numbers, recording the results on a number chart to identify any patterns
- AC9M6N02_E3representing composite numbers as a product of their factors, including prime factors when necessary and using this form to simplify calculations involving multiplication such as 15 ×16 as 5 ×3 ×4 ×4 which can be rearranged to simplify calculation to 5 ×4 ×3 ×4 = 20 ×12
- AC9M6N02_E4identifying and describing the product of a number with itself as square; for example, 3 ×3 is the same as 3^2
- AC9M6N02_E5using spreadsheets to list all the numbers that have up to 3 factors, using combinations of only the first 3 prime numbers, recognise any emerging patterns, making conjectures and experimenting with other combinations
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