Primary 2 extends picture graphs by adding scales, so that one picture may represent more than one item.
What picture graphs with scales actually asks of a Primary 2 student
One small change transforms this topic. At Primary 1 each picture meant one thing; now a picture might mean five, and every count must be multiplied.
It is the first time a child has to read a key before reading the data, and forgetting to do so produces an answer that is wrong by exactly the scale factor — consistently and invisibly.
What the syllabus covers
Under the MOE primary mathematics syllabus, picture graphs with scales at Primary 2 covers:
- reading and interpreting data from picture graphs with scales
Where the marks actually go
Ignoring the scale entirely and counting pictures. The answer is then wrong by a clean factor, which children rarely notice because it still looks plausible.
Half-pictures are miscounted. If one symbol is five, half a symbol is not one.
The multiplication is done correctly and then the wrong question is answered — a total given where a difference was asked for.
How to practise this properly
Make reading the key the first action, before looking at the graph at all. Turning it into a fixed habit removes the entire error class.
Ask what one picture is worth, then what half a picture is worth, before any counting begins.
Practise with different scales in the same session so the child cannot assume the last one still applies.
After answering, ask whether the number is sensible. If a graph about pets in a class gives an answer of ninety dogs, something has gone wrong — and noticing that is a habit worth far more than the mark on this particular question.
Have your child write one sentence saying what the graph shows overall, not just the answer to the question asked. Interpretation is named in the syllabus alongside reading, and it is the part that transfers to every later data topic.
What this leads to
Primary 3 moves to bar graphs with different scales on the axis, where the same discipline applies to reading gridlines instead of symbols.
It is also why a difficulty in one year is so often a leftover from an earlier one. Because our curriculum spans Primary 1 through Primary 6, we can go back to the genuine cause rather than treating the symptom in front of us. A child struggling with Primary 5 fractions frequently has a Primary 3 equivalence problem, and no amount of Primary 5 practice will resolve it.
What lessons at Odyssey are actually like
A student describes the experience in her own words. She is in secondary school, and the teaching she describes is what we do at primary level too. More are on Odyssey Math TV.
Getting help with this topic
We teach Primary 2 maths in small classes at Hexacube, 160 Changi Road #01-02, about three minutes from Eunos MRT. You can see our class schedules and fees, read about our math tutors, or look through the primary school math tuition programme as a whole. If your child is in a nearby school, our primary school directory may be useful too.
Start with the free trial lesson. We use it to work out where the difficulty really sits, and we will say so plainly — including if we think the sensible course is to wait a term and watch. Parents generally find that more useful than a confident sales answer. Get in touch or WhatsApp +65 8512 6882.
What we describe here comes from teaching this syllabus in our own classes since 2012. It is not a forecast for any individual child: progress is produced jointly, by a student willing to do the work with support at home. We do not promise grades. Topics follow the MOE primary mathematics syllabus — check the current syllabus on the MOE website for the definitive version, and see our curriculum page for how we teach it.
Frequently asked questions
What does a scale mean on a picture graph?
That each picture stands for more than one item — the key tells you how many. Counting pictures without applying the key gives an answer that is wrong by that factor.
How are half pictures handled?
A half picture is half the scale value. If one picture is 10, half a picture is 5.
Why does my child keep forgetting the scale?
Because at Primary 1 there was never one. Making “read the key first” an automatic step solves it.
What comes after picture graphs?
Bar graphs at Primary 3, then tables, line graphs and pie charts at Primary 4.
