Addition in any order
Understand and apply the commutative property of addition: addends can be added in any order
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“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?”
Full guide and materials
- Activity. Understand and apply the commutative property of addition: addends can be added in any order
What to notice. 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)
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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
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Learning resources
Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.
Visnos · Practice link — not the full lesson
Addition & Subtraction Facts
Move parts while the equation updates to show addition can be done in either order (commutativity) for the same total.
Free · no login · no ads observed
Review and open practice
Save screenshots of a fact and its turned-around partner (for example 3+5 and 5+3) with the same total.
Opening this link does not save learning or assess mastery.
Open practice (new tab)Source, access and review notes
Move parts while the equation updates to show addition can be done in either order (commutativity) for the same total.
Save screenshots of a fact and its turned-around partner (for example 3+5 and 5+3) with the same total.
Free · no login · no ads observed
Unknown — link only
Topmarks · Practice link — not the full lesson
Robot Addition
Match addition equations to totals. After two matches, ask the learner to swap the addends and predict the same total.
Free · no login · ads
Review and open practice
Save 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.
Open practice (new tab)Source, access and review notes
Match addition equations to totals. After two matches, ask the learner to swap the addends and predict the same total.
Save a matched screenshot plus a parent note that the learner stated a turn-around fact with the same sum.
Free · no login · ads
Unknown — link only
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