Addition as combining or putting together two
Understand addition as combining or putting together two groups to find the total
Typical age: 4–6 years
“If your 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?”
0 / 3 mastered
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- Numbers up to 10 into pairsREQUIRED
Decomposing numbers into pairs requires understanding addition as combining
- Reading +, −, and = symbolsREQUIRED
Reading/writing the + symbol requires understanding what addition means
- Simple Fraction Sums
Adding fractions extends the concept of addition as combining
- Adding money and giving change
Combining coins involves addition
- Finding a missing number in additionREQUIRED
Unknown-addend requires understanding both addition and subtraction
- Fluent adding and subtracting within 5REQUIRED
Fluency with addition within 5 requires understanding addition as combining
- Odd or Even
Writing even numbers as sum of two equal addends uses addition concept
- Representing Addition and SubtractionREQUIRED
Representing addition with objects/drawings requires understanding what addition means
- Addition and subtraction strategiesREQUIRED
Counting on as an addition strategy requires understanding addition
- Multiplication as repeated additionREQUIRED
Multiplication as repeated addition requires understanding addition as combining groups
- Addition in any orderREQUIRED
Understanding commutativity of addition requires understanding addition
- Grouping numbers to addREQUIRED
Associativity requires understanding addition as combining
- Spotting mathematical patterns
Noticing commutativity of addition exercises spotting structural patterns
- Making Sense of Problems
Making sense of addition problems requires understanding addition as combining