Maryland Math 4.NOS.C.7.b
The Standard
- 4.NOS.C.7
- Recall or quickly derive multiplication and division facts within 100 (e.g., factors less than or equal to 10 and quotients less than are equal to 10).
Derive unknown facts from known facts using double facts (e.g., to solve 4 × 3, double 3 to get 6 and double 6 to get 12) to multiply and divide.
Maryland College and Career Ready Standards for Mathematics (2025) · GAIN FAMILIARITY WITH FACTORS AND MULTIPLES.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use a multiplication fact they know to find a new fact by doubling. They use the new fact to solve a related division problem.
What Mastery Looks Like
- A student knows 2 × 7 = 14, so they double 14 to find 4 × 7 = 28. They then use 4 × 7 = 28 to solve 28 ÷ 4 = 7 and explain why it works.
Common Misconceptions
- Some students double both factors and get an answer that is too large. Others double a product correctly but use the wrong fact to solve a division problem.
How to Assess It
- Give this exit ticket: “You know 2 × 9 = 18. Find 4 × 9 and 36 ÷ 4. Show how the known fact helps with both.”
Lesson moves
Ways to Teach It
Build 2 rows of 6 counters, add 2 more rows, then write 4 × 6 = 24 and 24 ÷ 4 = 6.
Ask: “If 3 × 7 = 21, how can doubling help you solve 6 × 7 and 42 ÷ 6?”
Play a card-match game with 2 × 8 = 16 and 4 × 8 = 32, then write 32 ÷ 4 = 8.
Show 2 trays with 5 muffins each, add 2 more trays, then find the total and the muffins per tray.
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Printable 4.NOS.C.7.b Worksheet
A ready-to-print activity worksheet aligned to 4.NOS.C.7.b, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 1.NOS.D.9.d
Use the doubles to add and subtract (e.g., 6 + 6 = 12, 14 – 7 = 7, etc.)
- 3.NOS.E.9.b
Derive unknown facts from known facts using double facts (e.g., to solve 4 × 3, double 3 to get 6 and double 6 to get 12) to multiply and divide.
- 4.NOS.C.7.d
Use the inverse relationship between multiplication and division (e.g., think of 4 × ? = 28 to solve 28 ÷ 4 = ?) to multiply and divide.
- 3.NOS.E.9.d
Use the inverse relationship between multiplication and division (e.g., think of 4 × ? = 28 to solve 28 ÷ 4 = ?) to multiply and divide.
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