Maryland Math 7.NOS.A.2.e
The Standard
- 7.NOS.A.2
- Multiply and divide rational numbers using multiple strategies and representations.
Model and solve multistep contextual problems involving multiplication and division of rational numbers, using efficient and flexible strategies.
Maryland College and Career Ready Standards for Mathematics (2025) · USE STRUCTURE AND REPRESENTATIONS TO REASON WITH RATIONAL NUMBERS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students represent a story with a sketch or equations, then multiply and divide signed fractions or decimals across several steps. They choose an efficient method and explain what the signs and units mean.
What Mastery Looks Like
- A student can split a $12 debt among three people, then double each share to find an $8 debt per person. They write -12 ÷ 3 × 2 = -8 and explain why the answer is negative.
Common Misconceptions
- Some students change a negative debt to a positive amount when splitting it. Others multiply by the number of people instead of dividing, or stop after finding one share.
How to Assess It
- A club owes $18.75 for three equal supply orders, then places four more identical orders. Find its total debt and show both calculations with signed numbers.
Lesson moves
Ways to Teach It
Use red counters worth $1 each to show a $6 debt; triple the debt, then split it equally between two people.
Ask students to explain a diver's final depth after dropping 10 meters in 4 minutes, then descending 6 more minutes.
Give pairs cards marked 'lose $1.50 per day,' '6 days,' and 'split the loss among 3 people'; swap the amounts each round.
Give students a recipe using 3/4 cup flour per batch and 4 1/2 cups on hand; ask how many batches fit after two.
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Printable 7.NOS.A.2.e Worksheet
A ready-to-print activity worksheet aligned to 7.NOS.A.2.e, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 7.NOS.A.2
Multiply and divide rational numbers using multiple strategies and representations.
- 7.NOS.A.1.d
Model and solve multistep contextual problems involving addition and subtraction of rational numbers, using efficient and flexible strategies.
- 4.AT.A.4
Solve multistep problems in context involving whole numbers and having whole number answers using the four operations, including problems in which remainders mu...
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