Addition as combining or putting together two
CONCEPTUALUnderstand addition as combining or putting together two groups to find the total
Mastery Evidence
- Model 'putting together' with physical objects and say the total
- Act out an 'add to' situation (e.g. 3 children arrive, then 2 more join)
- Explain that addition means finding how many altogether
Assessment Prompt
“If [child] has 4 toy cars and a friend brings 3 more, do they understand that adding means combining both groups — and can they tell you there are now 7 cars altogether?”
Curriculum Standards2 alignments
K.OA.1Common Core State Standards for MathematicsRepresent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.
Maths/Y1/AS/1The national curriculum in EnglandRead, write and interpret mathematical statements involving addition (+), subtraction (–) and equals (=) signs.
Prerequisites1
- How Many in Total?hardAges 4—6
Show full prerequisite tree
- 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'
Unlocks14
- Numbers up to 10 into pairshardAges 4—6
- Reading +, −, and = symbolshardAges 5—6
- Simple Fraction SumssoftAges 7—8
- Adding money and giving changesoftAges 6—7
- Finding a missing number in additionhardAges 6—7
- Fluent adding and subtracting within 5hardAges 5—6
- Odd or EvensoftAges 7—8
- Representing Addition and SubtractionhardAges 4—6
- Addition and subtraction strategieshardAges 6—7
- Multiplication as repeated additionhardAges 5—6
- Addition in any orderhardAges 6—7
- Grouping numbers to addhardAges 6—7
- Spotting mathematical patternssoftAges 5—6
- Making Sense of ProblemssoftAges 5—6