Math // Measurement
Measuring mass and weight
Measure and begin to record mass/weight using non-standard and standard units
Quick check
If the learner uses balance scales to compare two objects, can they tell you which is heavier — and if given weights like 100g, can they balance an object on the scale?
Ask this to see whether the topic is secure.
Topic // Mastery
What mastery looks like
- Use a balance to compare masses of two objects
- Measure mass using non-standard units (e.g. 'this book weighs 5 cubes')
- Begin to read a simple scale for mass
Topic // Map
Where this fits
- RequiredMust come first
- HelpfulHelps, but not essential
Before this
1 topicMeasurement // Ages 4 to 6
Measuring mass with units requires first being able to compare masses directly
You are here
Measuring mass and weight
Ages 5 to 6 // Method
Leads to
1 topic- Choosing measurement unitsRequired
Measurement // Ages 6 to 7
Using standard units for mass extends from beginning to measure mass
Topic // Research-informed
Teaching notes
From the Marble Skill Taxonomy. These notes have not been validated in classrooms, so treat them as a starting point for your own judgement.
The approach
Children move from comparing mass to quantifying it: expressing mass as a number of units — first non-standard (this book balances 5 cubes), then standard (grams, kilograms) — and reading a simple dial or scale. A balance shows equivalence (the object balances N identical units); reading a graduated scale means valuing the intervals, not counting marks. The key insight is that a larger unit gives a smaller count for the same object.
Common misconceptions
- Uses non-identical units yet counts 'more units = heavier' (unit-size ignorance)
- Reads a scale by counting marks rather than valuing intervals; misreads a pointer between graduations
- Thinks the count itself is the mass regardless of which unit was used
- Reads before the balance settles / uses a mix of unit sizes
Useful representations
- Balance with identical unit-weights on one pan
- Dial / kitchen scale with graduations
- The number-line-like scale of graduations
- The record: '5 cubes' or '200 g'
Teaching practices
- Use a balance to find how many IDENTICAL units balance the object (equivalence), recording as number + unit ('5 cubes', '200 g')
- Insist units are identical — mixing cube sizes breaks the count (the unit-size principle: a larger unit gives a smaller count)
- When reading a dial/scale, first work out what one interval is worth, then count intervals (spaces) to the pointer, not the marks
- Estimate first, then check by measuring
- Keep it practical; wait for the balance beam to settle before reading
Activities to try
- 1
Balance it with identical units
Why it works: Mass can be quantified as a number of identical units that balance the object; the record is a number plus a unit, not just a number.
- Place a book (or other object) on one pan of a balance.
- Add identical unit-weights (e.g. interlocking cubes) one at a time to the other pan until the beam levels, or is as near level as you can get; if one more cube tips it the other way, the object is between two counts.
- Wait for the beam to settle before reading, then count the cubes and record the result as a number with its unit, e.g. '8 cubes', or 'about 8 cubes' / 'between 8 and 9 cubes' if it never quite levels.
- Before you start adding cubes, check every cube is the same size; set aside any odd-sized ones.
- Before adding any cubes, estimate how many you expect; after measuring, compare your estimate with the measured count.
- 2
Same book, different unit size
Why it works: A larger unit means fewer units are needed to balance the same object; the count changes because the unit changed, not because the mass changed. Conversely, smaller units give a larger count.
- Measure the SAME book again, this time using larger unit-weights.
- Count how many large units balance the book and compare with the earlier count of small units.
- Say aloud why the number is different even though the book has not changed.
- Discuss: can both counts be right at the same time — for example '5 big cubes' and '12 small cubes' for the same book? Explain how.
- Place one large unit on one pan and add small units on the other until it balances, or is as close as possible — count about how many small units equal one large unit.
- 3
Read the dial by valuing the intervals
Why it works: A graduated scale is read like a number line: establish the value of one interval, then count intervals to the pointer — this is the same skill as reading a ruler.
- Look at a dial or kitchen scale marked at regular intervals (e.g. a mark every 100 g).
- First work out what ONE interval is worth, e.g. the gap between two marks is 100 g.
- Count the intervals (the spaces) from zero up to the pointer, not the marks, to find the mass — e.g. three intervals of 100 g means 300 g.
- Read to the nearest graduation when the pointer falls between two marks.
- Explain how you knew each mark meant 100 g and not 1 g.
Topic // Standards
Curriculum standards
- The national curriculum in England: Key stages 1 and 2 framework document
- Maths/Y1/M/6
Math // Measurement
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