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MathematicsAddition & SubtractionAges 4–6

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

Selected Default Gakuva

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.

Learning resources

Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.

Practice link — not the full lesson Toy Theater

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.

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Practice link — not the full lesson Toy Theater

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.

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1 before · 2 after

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This concept

Numbers up to 10 into pairsConceptual 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

ccss-math:K.OA.3uk-nc-2013:Maths/Y1/AS/2