Guide · what to expect
Which Math Facts Should a Child Know in Each Grade?
In the Common Core standards, kindergarten children add and subtract within 5 fluently (K.OA.A.5). First graders add and subtract within 20, and are fluent within 10 (1.OA.C.6). Second graders add and subtract within 20 fluently with mental strategies, and by the end of the year know all sums of two one-digit numbers from memory (2.OA.B.2).
Kindergarten: within 5
Fluency here means small sums like 3 + 2 and 4 − 1 come easily. Most of a kindergartner's math is still counting and comparing real things, so don't rush past that. Helpful practice: counting objects, splitting 5 blocks into two groups in different ways, and showing numbers on fingers. Use bonds of 5 and the plus 1 facts. If your state doesn't use Common Core, its standards are likely to differ somewhat, so check with your child's school.
First grade: fluent within 10, working to 20
This is the big year for strategies. Standard 1.OA.C.6 names counting on, making ten, breaking a number down to reach ten, using the link between addition and subtraction, and making equivalent easier sums. In practice, that means doubles, make 10 and fact families. Children aren't expected to know everything within 20 from memory yet, so a child who is working out 8 + 5 with a strategy is doing just what's intended.
Second grade: fluent within 20
By the end of second grade, the sums of two one-digit numbers should be known from memory. Subtraction facts within 20 should be fluent using mental strategies. If a child is still counting by ones, go back to the strategies for the group that's shaky, rather than drilling harder. The facts chart helps you spot which group. Check what to practice by age for a shorter map.
Questions people ask
My child is behind. Should I worry?
Children develop at different speeds, and these standards describe the end of a school year. If you're concerned, talk to their teacher. Meanwhile, five relaxed minutes a day on one group of facts is a good start.
Do all US schools use these standards?
No. Many states use Common Core or something based on it, and some have their own. Ask your child's school which they follow.




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