
Number Operations and Applications
MYP Year 1 Mathematics — Number: Operations and Applications
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 term | What it demands | AO | Mark-earning move |
|---|---|---|---|
| Calculate | Obtain a numerical answer, showing the method used to reach it. | AO2 | Marks are awarded for correct working even if the final answer is wrong; a bare answer with no steps shown loses the method mark. |
| Identify | Name or select the specific thing asked for — e.g. which operation comes first. | AO1 | A short, specific answer earns the mark. Saying 'the multiplication' without saying WHICH multiplication in the expression can lose the mark on longer expressions. |
| Describe | Give a clear account of a process, usually in sequence. | AO2 | Steps 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 contrast | State similarities AND differences explicitly. | AO3 | Listing only differences (or only similarities) forfeits roughly half the available marks — examiners expect both sides addressed. |
| State | Give a short answer with no explanation required. | AO1 | Extra explanation isn't penalised, but writing a paragraph when a number/word will do wastes exam time for zero extra credit. |
Key point
Overview