AC9M6N02 Year 6 Mathematics

Content descriptor identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations

Elaborations

• • Elaboration using the definition of a prime number to explain why one is not a prime number
• • Elaboration testing numbers by using division to distinguish between prime and composite numbers, recording the results on a number chart to identify any patterns
• • Elaboration representing 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 \times 16 as 5 \times 3 \times 4 \times 4 which can be rearranged to simplify calculation to 5 \times 4 \times 3 \times 4 = 20 \times 12
• • Elaboration identifying and describing the product of a number with itself as square; for example, 3 \times 3 is the same as 3^2
• • Elaboration using 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