Place value and ordering. Integer arithmetic and decimals. Fractions, decimals, percentages and the connections between them. Ratio and proportion. Powers, roots, and indices. Rounding and estimation.

NC outcomes (paraphrased)

Pupils should be taught to:

  • Understand and use place value (including decimals)
  • Order positive and negative integers, decimals, and fractions
  • Use the four operations confidently with positive and negative numbers, including in problems
  • Convert between fractions, decimals, and percentages
  • Use ratio and proportion in real and theoretical contexts
  • Apply systematic listing strategies; use simple powers and roots; understand and use index notation

Forward to KS4

Direct precursor to KS4 Maths — Number and the number system.

Mastery descriptors (KS3)

  • developing — uses integer and decimal arithmetic with familiar numbers; converts simple equivalents (½ = 0.5 = 50%) with support
  • secure — calculates fluently across operations; uses ratio in everyday contexts; works confidently with fractions/decimals/percentages
  • mastering — applies number reasoning to unfamiliar problems; works with powers, roots, and indices; checks results for reasonableness