Maryland Math 4.NOS.B.5.b
The Standard
- 4.NOS.B.5
- Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers.
Use strategies based on place value (e.g., partial products) to multiply.
Maryland College and Career Ready Standards for Mathematics (2025) · USE PLACE VALUE UNDERSTANDING AND PROPERTIES OF OPERATIONS TO PERFORM MULTI-DIGIT ARITHMETIC.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students break numbers into tens and ones before multiplying. They find each partial product, add them, and explain what each part represents.
What Mastery Looks Like
- For 23 × 14, a student finds 200, 80, 30, and 12, then adds them to get 322. They can show where those four products appear in a rectangle split into tens and ones.
Common Misconceptions
- Students may multiply only the tens together and the ones together, leaving out two products. They may also treat 20 × 4 as 8 instead of 80.
How to Assess It
- Give students 24 × 13 as an exit ticket. Ask them to show each partial product and add them to find the total.
Lesson moves
Ways to Teach It
Draw a 23-by-14 rectangle on grid paper, split each side into tens and ones, then shade and count the four sections.
Ask, “Maya found 23 × 14 by adding 20 × 10 and 3 × 4. What did she miss?”
Roll four dice to make two two-digit numbers, fill a partial-products grid, and check a partner’s total.
Sketch 14 rows of 23 chairs for an assembly, split the rows and chairs into tens and ones, and find the total.
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Printable 4.NOS.B.5.b Worksheet
A ready-to-print activity worksheet aligned to 4.NOS.B.5.b, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 5.NOS.B.4.b
Use computational strategies (e.g., partial products, doubling and halving) efficiently 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.6.b
Use strategies based on place value (e.g., partial quotients) to divide.
- 2.NOS.C.9.b
Use strategies based on place value (counting on, partial sums, making tens, etc.) to add and subtract.
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