Maryland Math 4.NOS.C.7.c
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).
Use properties of operations (e.g., to solve 8 × 7, think of (5 × 7 + (3 × 7)) to multiply.
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 break one factor into easier parts and multiply each part by the other factor. They add the smaller products to find the full product.
What Mastery Looks Like
- For 8 × 7, a student writes (5 × 7) + (3 × 7) = 56 and explains that 5 rows and 3 rows make 8 rows. They can choose a useful split for another fact.
Common Misconceptions
- Some students write (5 × 7) + 3, forgetting to multiply the 3 by 7. Others multiply the two smaller products instead of adding them.
How to Assess It
- On an exit ticket, ask students to solve 9 × 6 by splitting 9 into 5 + 4. Have them write both smaller products and the total.
Lesson moves
Ways to Teach It
Build an array with eight rows of seven counters, split it after five rows, and write the two smaller products.
Ask students which split makes 9 × 7 easier, 5 + 4 or 7 + 2, and have them explain their choice.
Deal two cards from a set numbered 6 to 9, then split the first factor into 5 and the remainder to solve.
Show eight boxes with seven pencils in each, and ask students to count five boxes, then three boxes, to find the total.
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Printable 4.NOS.C.7.c Worksheet
A ready-to-print activity worksheet aligned to 4.NOS.C.7.c, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 5.NOS.B.7.d
Use properties of operations and/or the inverse relationship between multiplication and division to multiply and divide.
- 3.NOS.E.9.c
Use properties of operations (e.g., to solve 8 × 7, think of (5 × 7) + (3 × 7)) to multiply.
- 2.NOS.B.6.c
Use the inverse operation to add and subtract (e.g. think of 7 + ? = 15 to solve 15 – 7 = ?).
- 4.NOS.B.5.c
Use properties of operations (e.g., use doubling and halving strategy to think of 12 × 32 as 6 × 64) to multiply.
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