NY Next Generation Math NY-2.OA.2.b
The Standard
Know from memory all sums within 20 of two one-digit numbers.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students recall every sum of two one-digit numbers without counting or rebuilding each sum. They answer facts within 20 accurately and promptly.
What Mastery Looks Like
- The student gives sums such as 8 + 7 and 9 + 6 from memory. The student recalls facts in varied order instead of relying on a memorized sequence.
Common Misconceptions
- Students may confuse knowing facts from memory with recounting on fingers. They may also reverse an addend or answer with a nearby subtraction fact.
How to Assess It
- Show ten mixed addition facts with one-digit addends, including 8 + 7 and 9 + 6. Ask the student to answer each without counting tools.
Lesson moves
Ways to Teach It
Sort fact cards into known instantly, almost known, and needs practice piles, then revisit the last two piles.
Ask students to explain which related facts helped them remember 7 + 8.
Play a partner flash-card game that mixes sums within 20 in a different order each round.
Use quick mental totals for pairs of classroom supplies, such as 8 pencils and 6 markers.
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Printable NY-2.OA.2.b Worksheet

A ready-to-print activity worksheet aligned to NY-2.OA.2.b, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- NY-1.NBT.5
Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.
- NY-2.NBT.6
Add up to four two-digit numbers using strategies based on place value and properties of operations.
- NY-3.OA.7.b
Know from memory all products of two one-digit numbers.
- NY-4.NBT.4
Fluently add and subtract multi-digit whole numbers using a standard algorithm.
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