The multiples of 10
CONCEPTUALUnderstand that the multiples of 10 (10, 20, 30 … 90) represent one to nine tens and 0 ones
Mastery Evidence
- Explain that 30 means 3 tens and 0 ones
- Represent 50 using 5 tens rods and no unit cubes
- Match decade numbers to their tens representation
Assessment Prompt
“Can [child] explain that 60 means 6 tens and no ones — and that this is why the ones column has a zero as a placeholder?”
Curriculum Standards1 alignment
1.NBT.2.cCommon Core State Standards for MathematicsThe numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).
Prerequisites2
- Counting in 2ssoftAges 5—7
- A Ten Is Ten OneshardAges 6—7
Show full prerequisite tree
- A Ten Is Ten Ones hard
Understanding decade numbers as 'some tens and 0 ones' requires the concept of a ten
- The teen numbers hard
Understanding 10 as a bundle builds on understanding teen numbers as 'a ten and some ones'
- How Many in Total? hard
Understanding tens-and-ones composition requires cardinality — knowing numbers represent quantities
- 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'
- Reading and writing numbers to 20 hard
Composing/decomposing teen numbers requires reading and writing those numerals
- How Many in Total? hard
Reading/writing numerals 0–20 requires understanding that numerals 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'
- Writing digits 0-9 hard
Writing numerals requires the motor skill of forming digits 0-9 (taught in English handwriting)
Unlocks1
- Subtracting multiples of 10hardAges 6—7