Addition in any order
Understand and apply the commutative property of addition: addends can be added in any order
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1858 concepts · 9 subjects
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Addition in any order means the addends can switch places and the total stays the same. 3 + 8 gives the same answer as 8 + 3. When you count on, start from the larger number so there is less to count. Subtraction is different: 5 − 3 is not the same as 3 − 5. Today we only check addition order, then one quick subtraction contrast.
Spend about 12 minutes building matching addition pairs with counters, writing both orders, choosing the larger start when counting on, and contrasting one subtraction pair that does not commute.
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Learning resources
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Visnos · Practice link — not the full lesson
Addition & Subtraction Facts
Before you open · source notes
Move parts while the equation updates to show addition can be done in either order (commutativity) for the same total.
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Before you openSave screenshots of a fact and its turned-around partner (for example 3+5 and 5+3) with the same total.
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Topmarks · Practice link — not the full lesson
Robot Addition
Before you open · source notes
Match addition equations to totals. After two matches, ask the learner to swap the addends and predict the same total.
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Before you openSave a matched screenshot plus a parent note that the learner stated a turn-around fact with the same sum.
Opening this link does not save learning or assess mastery.
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Check understanding
- Explain that 3 + 8 gives the same answer as 8 + 3
- Use commutativity to choose the larger number to count on from
- Demonstrate that subtraction is not commutative (5 − 3 ≠ 3 − 5)
“Does your child know that 6 + 4 gives the same answer as 4 + 6, so they can always choose whichever order makes the adding easier?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Addition & Subtraction
- Age range
- Ages 6–12
Standards