Maryland Math 5.NOS.B.4.b
The Standard
- 5.NOS.B.4
- Fluently multiply multi-digit whole numbers.
Use computational strategies (e.g., partial products, doubling and halving) efficiently to multiply.
Maryland College and Career Ready Standards for Mathematics (2025) · PERFORM OPERATIONS ON MULTI-DIGIT WHOLE NUMBERS AND WITH DECIMALS TO HUNDREDTHS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students break multiplication problems into easier products. They can also double one factor and halve the other to keep the product the same.
What Mastery Looks Like
- For 24 × 35, a student finds 24 × 30 and 24 × 5, then adds the results to get 840. For 16 × 25, they use 8 × 50 = 400 and explain why it gives the same product.
Common Misconceptions
- Students may leave out a partial product, such as 24 × 5 when finding 24 × 35. Others double one factor without halving the other, which changes the answer.
How to Assess It
- Exit ticket: Find 16 × 25 by doubling and halving, then find 24 × 13 using partial products. Show each step.
Lesson moves
Ways to Teach It
On grid paper, draw a 24 by 13 rectangle, split the 13 into 10 and 3, and add the two areas.
Ask: Which is easier for 16 × 25, partial products or doubling and halving? Show your work and explain your choice.
Give pairs cards marked 18 × 25, 9 × 50, 36 × 25, and 18 × 50; match equal products.
Price 12 notebooks at $2.25 each by finding the cost of 10 notebooks and 2 notebooks, then adding.
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Printable 5.NOS.B.4.b Worksheet
A ready-to-print activity worksheet aligned to 5.NOS.B.4.b, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 4.NOS.B.5.b
Use strategies based on place value (e.g., partial products) to multiply.
- 5.NOS.B.7.c
Use strategies based on place value (e.g., partial products, partial quotients) to multiply and divide.
- 4.NOS.B.3.b
Use computational strategies (e.g., decomposition, partials sums) efficiently.
- 3.NOS.D.7.a
Use computational strategies efficiently (e.g., decomposition, partials sums, compensation, make ten/hundred/thousand) to add and subtract.
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