Addition in any order
Understand and apply the commutative property of addition: addends can be added in any order
Teaching approaches
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1 approach
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?
Understand and apply the commutative property of addition: addends can be added in any order
Learning resources
Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.
Addition & Subtraction Facts
Move parts while the equation updates to show addition can be done in either order (commutativity) for the same total.
Proof: Save screenshots of a fact and its turned-around partner (for example 3+5 and 5+3) with the same total.
Robot Addition
Match addition equations to totals. After two matches, ask the learner to swap the addends and predict the same total.
Proof: Save a matched screenshot plus a parent note that the learner stated a turn-around fact with the same sum.
Explore the learning path
1 before · 3 after
This concept
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 6–7
Standards