CCSS.Math.Content.7.NS.A.1
The Standard
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
Common Core State Standards for Mathematics · The Number System
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students add and subtract positive and negative integers, fractions, and decimals. They use horizontal or vertical number lines to show each calculation and explain why subtracting a number means adding its opposite.
What Mastery Looks Like
- Students accurately add and subtract signed integers, fractions, and decimals. They draw number-line models that match their equations and explain how direction and distance represent each operation.
Common Misconceptions
- Students may apply multiplication sign rules to addition, such as claiming two negatives make a positive. They may always move left when subtracting, even when the number being subtracted is negative. Some also add or subtract fraction denominators instead of finding a common denominator.
How to Assess It
- Give this exit ticket: Use a number line to solve -3/4 - (-1 1/2), then write an equivalent addition expression and explain each move.
Lesson moves
Ways to Teach It
Lay a taped floor number line; students draw rational-number cards, walk each addition or subtraction, and record the matching equation.
Have pairs answer the prompt “Why does subtracting a negative move right?” by comparing two number-line diagrams and defending the correct one.
Play Rational Number Target: teams use four signed fraction cards and addition or subtraction to get closest to a posted target.
Give hourly temperature changes; students calculate the final temperature and sketch a vertical number line showing each rise and drop.
Free download
Printable 7.NS.A.1 Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.7.NS.A.1, 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 worksheetLearning progression
Where This Standard Sits
See the whole path on the The Number System progression map.
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.6.NS.C.6
Students must locate positive and negative rational numbers on number lines before representing rational addition and subtraction as movements.
- CCSS.Math.Content.6.NS.C.6c
Locating rational numbers on horizontal or vertical number lines supports representing rational addition and subtraction as movements from those positions.
- CCSS.Math.Content.6.NS.C.5
Understanding signs as opposite directions from zero supports interpreting rational addition and subtraction as movement on the number line.
What This Unlocks
Mastery here sets students up for these next.
- CCSS.Math.Content.7.NS.A.3
Solving rational-number problems with all four operations requires accurate rational addition and subtraction, including signs and number-line meaning.
- CCSS.Math.Content.HSN-VM.B.4
Signed number-line addition and subtraction carry into combining vector components and understanding opposite directions.
Keep exploring
Related Standards
- CCSS.Math.Content.7.NS.A.2
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
- CCSS.Math.Content.6.NS.C
Apply and extend previous understandings of numbers to the system of rational numbers.
- CCSS.Math.Content.7.NS.A
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
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