Maryland Math 3.NOS.E.9.a

Math3rd GradeNumber and Operation Sense

The Standard

3.NOS.E.9: Recall or quickly derive multiplication and division facts within 100 (e.g., factors less than or equal to 10 and quotients less than or equal to 10).

Skip count (2s, 5s, 10s) and apply properties of operations (0s, 1s) to derive foundational facts.

Maryland College and Career Ready Standards for Mathematics (2025) · MULTIPLY AND DIVIDE WITHIN 100.

Teacher's field guide

What Students Need to Do: Students count by 2s, 5s, and 10s to find multiplication and division answers. They use zero groups and one group to work out multiplication facts with 0 and 1.
What Mastery Looks Like: A student counts by fives to show that 30 ÷ 5 is 6. They explain why 7 × 0 is 0 and 1 × 7 is 7 using equal groups.
Common Misconceptions: Some students count zero as the first group, so they get 15 for 4 × 5. Others say 0 × 6 is 6 or 1 × 6 is 1. Some try to divide by zero.
How to Assess It: Exit ticket: Solve 6 × 2, 30 ÷ 5, 4 × 10, 0 × 8, and 1 × 8. Show skip counts for the first three and draw groups to explain one fact with 0 or 1.

Lesson moves

Give pairs counters and cups to build groups of 2, 5, and 10, then write matching multiplication and division facts.
Ask, 'Why is 0 × 7 zero but 1 × 7 seven?' Have students draw groups and explain to a partner.
Play Fact Match with cards showing 6 × 2, 12 ÷ 2, skip counts, and pictures of equal groups.
Show pencils sold in packs of 10, then ask how many pencils are in 4 packs and how many packs make 40.

Free download

$Preview of the 3.NOS.E.9.a printable worksheet$

A ready-to-print activity worksheet aligned to 3.NOS.E.9.a, with an answer key for the teacher on its own page. No account needed.

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