Maryland Math 7.NOS.A.3.a
The Standard
- 7.NOS.A.3
- Solve multistep problems involving positive and negative rational numbers in any form (i.e., fractions, decimals, percents) using all four operations.
Apply properties of operations to efficiently compute with rational numbers and convert between forms when appropriate to support problem solving.
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 compute with positive and negative fractions and decimals. They switch forms, reorder or group terms, and use distribution when those moves make a calculation easier.
What Mastery Looks Like
- A student can turn 0.5 into 1/2, then pair -3/4 with 3/4 to find a sum quickly. They can also distribute a negative number across parentheses and explain each step.
Common Misconceptions
- Students may reorder numbers in subtraction as if it were addition. They may multiply only the first term in parentheses or think -0.75 and -3/4 have different values.
How to Assess It
- Give this exit ticket: Calculate -3/4 + 0.5 + 3/4. Convert 0.5 to a fraction, show a quicker order for adding, and explain why it works.
Lesson moves
Ways to Teach It
Give pairs cards labeled -0.75, -3/4, 0.75, and 3/4; have them match equal values, then build a sum with a zero pair.
Ask students to compare (-3/4 + 1/2) + 3/4 with (-3/4 + 3/4) + 1/2 and explain which is quicker.
Run a shortcut race with -0.25 + 1/3 + 1/4; students rewrite it, find 1/3, and name the properties used.
Give students a bank ledger showing -$2.50, +$7.75, and +$2.50; ask them to group opposite changes and find the balance change.
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Printable 7.NOS.A.3.a Worksheet
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Related Standards
- 7.NOS.A.3
Solve multistep problems involving positive and negative rational numbers in any form (i.e., fractions, decimals, percents) using all four operations.
- 7.NOS.A.2.c
Use properties of operations to multiply and divide rational numbers flexibly and efficiently.
- 7.NOS.A.2.e
Model and solve multistep contextual problems involving multiplication and division of rational numbers, using efficient and flexible strategies.
- 7.NOS.A.1
Add and subtract rational numbers using multiple strategies and representations.
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