Florida B.E.S.T. MA.6.NSO.3.2
The Standard
Rewrite the sum of two composite whole numbers having a common factor, as a common factor multiplied by the sum of two whole numbers.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify a factor shared by both addends and use the distributive property in reverse. They divide each addend by that factor to build the expression inside parentheses.
What Mastery Looks Like
- A student can rewrite 18 + 24 as 6(3 + 4) and explain where each number came from. They can expand the expression to confirm it equals the original sum.
Common Misconceptions
- Students may divide only one addend by the common factor or add the factor inside the parentheses. Some think they must always use the greatest common factor, even when another shared factor works.
How to Assess It
- Ask: Rewrite 28 + 42 as a common factor times a sum. Expand your expression to check it.
Lesson moves
Ways to Teach It
Give students 18 red and 24 blue counters to arrange into six equal groups, then record 18 + 24 = 6(3 + 4).
Ask students to explain why both 2(9 + 12) and 6(3 + 4) represent 18 + 24.
Play a matching game with sum cards, such as 20 + 30, and factored cards, such as 10(2 + 3).
Present six trays holding three apples and four oranges each, then connect the total to 18 + 24 = 6(3 + 4).
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Printable MA.6.NSO.3.2 Worksheet
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Related Standards
- MA.8.AR.1.3
Rewrite the sum of two algebraic expressions having a common monomial factor as a common factor multiplied by the sum of two algebraic expressions.
- MA.4.NSO.2.3
Multiply two whole numbers, each up to two digits, including using a standard algorithm with procedural fluency.
- MA.6.NSO.3.4
Express composite whole numbers as a product of prime factors with natural number exponents.
- MA.6.NSO.3.1
Given a mathematical or real-world context, find the greatest common factor and least common multiple of two whole numbers.
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