Numbers up to 10 into pairs
CONCEPTUALDecompose numbers up to 10 into pairs in more than one way (part-part-whole)
Mastery Evidence
- 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
Assessment Prompt
“If [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 Standards2 alignments
K.OA.3Common Core State Standards for MathematicsDecompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).
Maths/Y1/AS/2The national curriculum in EnglandRepresent and use number bonds and related subtraction facts within 20.
Prerequisites1
- Addition as combining or putting together twohardAges 4—6
Show full prerequisite tree
- Addition as combining or putting together two hard
Decomposing numbers into pairs requires understanding addition as combining
- How Many in Total? hard
Understanding addition as combining groups requires knowing numbers represent quantities (cardinality)
- One-to-one counting hard
Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'
Unlocks2
- Number bonds to 9hardAges 4—6
- Showing Your WorkingsoftAges 5—6