Numbers up to 10 into pairs
Decompose numbers up to 10 into pairs in more than one way (part-part-whole)
Teaching approaches
Gakuva’s recommended starting approach is selected. You can still compare every option.
1 approach
A number can be split into two smaller parts that make the same total again. For 6, one pair is 1 and 5; another is 2 and 4; another is 3 and 3.
Spend about 10–15 minutes finding different pairs that make one target number within 10.
Keep a record of your learning
Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Learning resources
Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.
Part Part Whole
Adult-guided part–part–whole chart with two-color counters for decomposing numbers to 10 in more than one way.
Proof: Save two screenshots of different decompositions of the same whole (for example 6 = 4+2 and 6 = 5+1) plus a parent note naming both pairs.
Number Bonds
Supplemental bond diagram for recording more than one pair that makes the same whole through 10.
Proof: Save screenshots of at least two different bonds for one whole number up to 10.
Explore the learning path
1 before · 2 after
This concept
Check understanding
- Show that 5 = 1 + 4, 5 = 2 + 3, 5 = 0 + 5 etc.
- Use objects or drawings to find all pairs that make a given number
- Record decompositions as equations
“If your child has 8 grapes, can they split them into two groups in different ways — like 3 and 5, or 4 and 4 — and explain that both groups together still make 8?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Addition & Subtraction
- Age range
- Ages 4–6
Standards