AC9M7N02 Year 7 Mathematics

This Content Descriptor from Year 7 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

represent natural numbers as products of powers of prime numbers using exponent notation

Elaborations

• 1 applying knowledge of factors to strategies for expressing natural numbers as products of powers of prime factors, such as repeated division by prime factors or creating factor trees; for example, \(48=6\times8=2\times3\times2\times2\times2=3^1\times2^4=3\times2^4\)
• 2 developing familiarity with the sequence \(1, 2, 4, 8, 16, 32, 64, 128, 256, 512\) and powers of \(2\); the sequence \(1, 3, 9, 27, 81, 243, 729\) and powers of \(3\); and the sequence \(1, 5, 25, 125, 625\) and powers of \(5\)
• 3 solving problems involving lowest common multiples and greatest common divisors (highest common factors) for pairs of natural numbers by comparing their prime factorisation

Related Achievement Standards