Maryland Math 7.NOS.A.1.d
The Standard
- 7.NOS.A.1
- Add and subtract rational numbers using multiple strategies and representations.
Model and solve multistep contextual problems involving addition and subtraction 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 track a starting amount through several gains and losses, including fractions and decimals. They use a number line or another model to solve, then explain what the result means.
What Mastery Looks Like
- A student can write an equation that matches each change and show the steps on a labeled model. They can group signed values to calculate efficiently and give an answer with units.
Common Misconceptions
- Students may treat every change as positive or think subtracting a negative number makes the result smaller. Some regroup subtractions without first rewriting them as additions of opposites.
How to Assess It
- Exit ticket: A freezer starts at -2.5°C, warms 4.75°C, then cools 3.25°C. Draw a number line, write an equation, and find the final temperature.
Lesson moves
Ways to Teach It
Tape a number line from -5 to 5; pairs move a counter from -1°C using temperature cards +2.5°C, -1.75°C, and -3°C.
Ask which moves to group for a diver at -4.5 meters who rises 2.25 meters, sinks 1.75 meters, then rises 3 meters.
Set up a card match with four three-step money stories, four equations, and four number lines; students match and check each result.
Show a bank ledger with a -$4.50 balance, a $12 deposit, a $3.25 purchase, and a $2.50 fee; students calculate the balance.
Free download
Printable 7.NOS.A.1.d Worksheet
A ready-to-print activity worksheet aligned to 7.NOS.A.1.d, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- 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...
- 5.NOS.C.9
Solve problems in context involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators using visual fract...
- 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.
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.
Also for this standard:Make a WorksheetMake a QuizMake a Sub Lesson