In grades K-4, students work to learn the basic facts for addition, subtraction, multiplication, and division.
When they begin, they often use counting strategies to help them find the answers. Students may count on, count back, or skip count.
As they learn more, they rely on reasoning strategies. Students use number sense and patterns to help them figure out unknown facts by relating them to facts they already know.
Finally, they master their basic facts. Students develop automaticity and "just know" the answers.
Math Fact Fluency Progression
Fluently add and subtract within 5, including zero.
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
How did you solve it?
How do you know it is correct?
Is there another way you could solve it?
If a friend didn't know the answer, what strategy could you suggest they use?
How is _____ like _____ ? (e.g. how is 2 + 2 like 2 + 3?)
Fluently add and subtract within 20 using mental strategies.
By the end of grade 2, know from memory all sums of two single-digit numbers and related differences.
How did you solve it?
How do you know it is correct?
Is there another way you could solve it?
If a friend didn't know the answer, what strategy could you suggest they use?
How is _____ like _____ ? (e.g. how is 7 + 7 like 7 + 9?)
How did you solve it?
How do you know it is correct?
Is there another way you could solve it?
If a friend didn't know the answer, what strategy could you suggest they use?
How is _____ like _____ ? (e.g. how is 2 x 7 like 4 x 7?)
Fluently multiply within 100, using strategies such as the relationship between multiplication and division or properties of operations.
By the end of grade 3, know from memory all products of two single-digit numbers and related division facts.
How did you solve it?
How do you know it is correct?
Is there another way you could solve it?
If a friend didn't know the answer, what strategy could you suggest they use?
How is _____ like _____ ? (e.g. how is 6 x 10 like 6 x 12?)
Know multiplication facts and related division facts through 12 x 12.
Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Fluently multiply multi-digit whole numbers. (Include two-digit x four-digit numbers and, three-digit x three-digit numbers) using the standard algorithm.