IB Middle Years Programme · Mathematics MYP Year 1

Number Operations and Applications

Cover illustration for Number Operations and Applications (Mathematics MYP Year 1).
MYP · Mathematics MYP Year 1

Number Operations and Applications

MYP Year 1 Mathematics — Number: Operations and Applications

20 min readFoundationalFoundational strand tested continuously — underpins every MYP1 unit test, the number-skills check, and Criterion A/B tasks. Order of operations, remainders, decimals and fractions all reappear inside later algebra and geometry topics, so gaps here cost marks for the rest of the year.

Almost every wrong answer in this unit comes from one of two habits: attacking a calculation strictly left-to-right instead of by operation priority, or reaching for a calculator before working out what a word problem is even asking. Fix those two habits and BODMAS, remainders, decimals and fractions all turn out to be the same skill wearing different costumes.

Overview

This unit is really one rule applied to four different number types: whole numbers with mixed operations, whole numbers with remainders, decimals, and fractions. Learn the ORDER operations happen in once, and every worked example below is just that same order in a different outfit.

  • The order of operations (BODMAS/PEDMAS) is the master rule — every other subtopic in this chapter obeys it silently in the background.
  • Divisibility and remainders are about whole-number division that doesn't come out exactly — the leftover matters, not just the near-answer.
  • Word problems test whether you can turn English into an expression before you calculate anything.
  • Decimals and fractions are just numbers written differently — the operations rules change slightly (align columns, count decimal places, find common denominators), but BODMAS still governs multi-step expressions of any of them.

The shape of the chapter

Command terms that appear across this topic

Command termWhat it demandsAOMark-earning move
CalculateObtain a numerical answer, showing the method used to reach it.AO2Marks are awarded for correct working even if the final answer is wrong; a bare answer with no steps shown loses the method mark.
IdentifyName or select the specific thing asked for — e.g. which operation comes first.AO1A short, specific answer earns the mark. Saying 'the multiplication' without saying WHICH multiplication in the expression can lose the mark on longer expressions.
DescribeGive a clear account of a process, usually in sequence.AO2Steps must be given in the correct order. Jumping straight to the final number without stating the sequence drops the mark even if that number is correct.
Compare / Compare and contrastState similarities AND differences explicitly.AO3Listing only differences (or only similarities) forfeits roughly half the available marks — examiners expect both sides addressed.
StateGive a short answer with no explanation required.AO1Extra explanation isn't penalised, but writing a paragraph when a number/word will do wastes exam time for zero extra credit.

Key point

Every calculation in this unit obeys one universal order: Brackets → Powers → Multiply/Divide (left to right) → Add/Subtract (left to right). Get the ORDER right before you touch a single number.

Overview

Number Operations and Applications — Lesson Notes | Mathematics MYP Year 1