Maryland Math 6.NOS.B.4.c
The Standard
- 6.NOS.B.4
- Identify the common factors and multiples of two whole numbers.
Express the sum of two whole numbers within 100 using the distributive property to factor out the common factor of the addends (e.g., express 36 + 8 as 4(9 + 2)).
Maryland College and Career Ready Standards for Mathematics (2025) · COMPUTE FLUENTLY WITH MULTI-DIGIT NUMBERS AND FIND COMMON FACTORS AND MULTIPLES.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find a number that divides both addends. They divide each addend by that number and write the sum as a multiplication expression with parentheses.
What Mastery Looks Like
- Given 24 + 18, a student writes 6(4 + 3) and checks by multiplying 6 by both numbers inside the parentheses. They can also write 3(8 + 6), since 3 divides both addends.
Common Misconceptions
- Students may pick a number that divides only one addend, or divide one addend but leave the other unchanged. Some read 6(4 + 3) as 6 × 4 + 3.
How to Assess It
- Exit ticket: Rewrite 28 + 14 by factoring out 7. Multiply to check your answer.
Lesson moves
Ways to Teach It
Use 24 blue and 18 red counters to make six equal rows; record 24 + 18 = 6(4 + 3).
Have partners explain in writing why 24 + 18 equals 6(4 + 3) but not 6(24 + 18).
Make cards labeled 20 + 12, 24 + 18, 4(5 + 3), and 6(4 + 3); partners match each sum with its factored form.
Draw six supply kits holding 30 pencils and 12 erasers total; label each kit and write 30 + 12 = 6(5 + 2).
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Printable 6.NOS.B.4.c Worksheet
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