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Year 7 · Term 1

7.1 Positive Integers

Learning Objectives

Positive Integers

  1. 1. Apply tests of divisibility for 2, 3, 4, 5, 6, 8, 9, and 10 to decide whether a number is divisible without calculating.
  2. 2. Identify and list multiples of any given number.
  3. 3. Recognise and evaluate powers (e.g. 2³ = 8) and roots (e.g. √169 = 13), including the first few square and cube numbers.
  4. 4. Continue a number sequence using a term-to-term rule.
  5. 5. Find all the factors of a number and list them systematically.
  6. 6. Identify prime numbers and explain why a number is or is not prime.
  7. 7. Write a number as a product of its prime factors using a factor tree (e.g. 12 = 2 × 2 × 3).
  8. 8. Find the Highest Common Factor (HCF) of two numbers using listing strategies.
  9. 9. Find the Lowest Common Multiple (LCM) of two numbers using listing strategies.
  10. 10. Use a Venn diagram to find HCF and LCM from prime factor decompositions.