Making numbers in different ways — Mathematics, 4–6 years
A number can be made from smaller parts in more than one way. Mathematics, 4–6 years.
One number, different parts
The same number can be made in different ways. Five buttons might be two red and three blue, or four red and one blue; the total is still five. The parts change, but the whole does not.
Why split a number?
When we cannot see every object at once, parts help us keep track of the whole. A child who sees five as three and two can check a snack, a score, or a group of toys without starting from one every time. This is the beginning of flexible number thinking.
Build six
Put six counters on the table. Move one counter to the left and five to the right: 1 and 5 make 6. Now move two left and four right: 2 and 4 make 6. The total stayed six because no counter was added or removed.
The parts look like the answer
A child may say that a group of two and a group of four make four, because the last group is the one they notice. That is a reasonable mistake: one group is easy to see, while the whole is spread out. Touch or point to both groups and count them together.
Useful outside school
This helps when a small group is hidden or arranged differently. You might know that six children are playing because four are on the swing and two are waiting, even if you cannot see everyone together. Shopkeepers and cooks also split a total into smaller groups.
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