Teaching article
A remainder needs an interpretation, not just a label
Keep leftover units visible and explain what they mean in the particular problem.
When objects do not fit into equal complete groups, the leftover is visible. Ask what the scenario permits next, because leaving it separate, making another group and dividing it further describe different situations.
Interpret what the leftover means in the scenario. A remainder may stay separate, require another group or need a qualified answer.
Fourteen counters make three complete groups of four with two counters remaining.
What should happen to the leftover here?
Make complete groups of four. Separate the two remaining counters. State the result in the context.
Are any incomplete groups being called complete? Use drawn group spaces and a remainder box.
What happens to leftovers depends on the real question.
Resources
- Maths Puzzle Generator — Choose arithmetic or missing-number questions only when they match the number relationship being explored.
Further reading
Read next
- Two pieces are not automatically two halves
- One object, one count: make the correspondence visible
- Teen numbers as a ten and some more
Explore Number, operations and fractions. Browse all teaching articles.