The two digits of a two-digit number
Understand that the two digits of a two-digit number represent amounts of tens and ones
Typical age: 6–7 years
“If your child sees the number 47, can they tell you there are 4 tens (forty) and 7 ones — rather than just reading the digits as 'four seven'?”
0 / 3 mastered
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- Fluent addition and subtraction
Deriving facts to 100 benefits from place value understanding
- A Hundred Is Ten TensREQUIRED
Must understand two-digit place value before extending to hundreds
- Representing Numbers
Estimating placement on a 0-100 number line benefits from place value understanding
- Mental addition and subtraction (age 6+)REQUIRED
Adding ones to two-digit numbers requires understanding tens and ones
- The three digits of a three-digit numberREQUIRED
Three-digit PV extends two-digit PV (tens and ones)
- Shape patterns
Using place-value structure (tens and ones) to solve problems efficiently
- Adding within 100REQUIRED
Adding within 100 using PV requires understanding tens and ones
- Adding and subtracting tens mentallyREQUIRED
Adding/subtracting tens requires place value understanding
- Place value understanding and number factsREQUIRED
Using PV to solve problems requires understanding tens and ones
- 10 More or 10 LessREQUIRED
Mentally finding 10 more/less requires understanding that the tens digit changes
- Counting forwards and backwards (age 6+)REQUIRED
Counting in tens from non-multiples requires understanding that adding 10 changes the tens digit
- Comparing and ordering numbersREQUIRED
Comparing two-digit numbers using PV requires understanding tens and ones