The following benchmarks are named in the Common Core State Standards and New York's Next Generation Learning Standards for fact fluency. Remember, not all students progress at the same pace and therefore not all students will reach these fluency benchmarks at the end of a particular grade. Fact fluency develops along a continuuum, so it's important to help your child work on facts that s/he has not yet mastered, regardless of grade level.
What it means: Students should know the addition combinations that make 5 and all of the numbers below 5, and understand related subtraction facts - for example, know that 3 needs 2 to make 5, and 5 - 2 = 3.
What it means: Students should know the addition combinations that make 10 and all of the numbers below 10, and understand related subtraction facts - for example, know that 3 needs 7 to make 10, and 10 - 7 = 3.
What it means: Students should know from memory the addition combinations that make 20 and all of the numbers below 20. They should be able to use their knowledge of these addition combinations to quickly recall related subtraction facts - for example, if they know that 6 + 9 = 15 then they can apply that to realize that 15 - 9 = 6 and 15 - 6 = 9. Subtraction facts are more difficult to recall than addition facts; encourage your student to think about known addition facts as a strategy for solving subtraction facts efficiently.
What it means: Students learn the meaning of multiplication and division in the beginning of 3rd Grade. Once their conceptual understanding is solid, it's appropriate for them to begin to work on multiplication and division fact fluency. While the standards call for students to know from memory the products of all single digit numbers (e.g. multiplication facts up to 9 x 9 and related division facts), we know from experience that many students will continue to work on solidifying these facts well into 4th and 5th grades.
What it means: In 4th and 5th grades, students continue to work on becoming more fluent with addition, subtraction, multiplication and division facts, to the point of automaticity (3 second recall). In these grades, students learn to use standard algorithms for addition, subtraction and multiplication, which all rely on a series of single-digit calculations in which students apply their fact knowledge.