early number concepts
addition &
subtraction problem
solving
addition &
subtraction fluency
multi-digit addition &
subtraction problem
solving
K
count to 100 by ones and tens
count forward from a given number
write numbers 0-20
count objects to 20
compare groups of objects (more,
less, same)
compare two written numerals
solve problems within
10 using objects and
drawings
fluency within 5
1st
count to 120 starting at any number
compare two-digit numbers based
on place value
solve problems within
20 using objects and
strategies
fluency within 10
add 2-digit + 1-digit,
2-digit + 10’s based on
place value
subtract 10’s
2nd
count within 1000; skip count by
5s, 10s, 100s
compare three-digit numbers based
on place value
fluently solve problems
within 20 using
strategies
fluency within 20
solve problems within
100 using drawings,
strategies and equations
add & subtract within
1000 using concrete
models or drawings and
strategies based on place
value
multi-digit addition
& subtraction
fluency
fluency within 100
using strategies based
on place value
3rd
fluency within 1000
using strategies and
algorithms
4th
fluency within
1,000,000 using
algorithms
multiplication & division
problem solving
multiplication & division
fluency
multi-digit multiplication &
division problem solving
know all products of one-digit
numbers
multiply one-digit numbers by
tens using strategies and
algorithms
multi-digit multiplication &
division fluency
K
1st
2nd
skip counting to find total
number in array up to 5x5
3rd
solve problems involving equal
groups and equal sharing, within
100
fluently divide within 100
relate area of rectangle to
multiplication in solving
problems
4th
solve multi-step problems
including divisions where
remainders must be interpreted
multiply up to 4-digits by 1digit, 2-digit by 2-digit
divide up to 4-digits by 1-digit,
including with remainders
5th
divide up to 4-digits by 2-digits
using strategies
fluency with multi-digit
multiplication using algorithms