CCSS.Math.Content.7.NS.A.1a
The Standard
Describe situations in which opposite quantities combine to make 0.
Common Core State Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify quantities with equal size and opposite signs. They explain why combining those quantities results in zero and connect the equation to a real situation.
What Mastery Looks Like
- Students recognize pairs such as +6 and −6 as opposites and show that their sum is zero. They can describe a matching context using money, temperature, elevation, charge, or movement.
Common Misconceptions
- Students may think any positive and negative numbers make zero, even when their magnitudes differ. They may also confuse opposites with reciprocals or assume zero has a positive or negative sign.
How to Assess It
- Give this exit ticket: “Write a real situation where +8 and −8 combine, then state the result and explain why.”
Lesson moves
Ways to Teach It
Give pairs integer chips and have students combine equal numbers of positive and negative chips until no unmatched chips remain.
Ask students to write and explain a situation where gaining 12 units and losing 12 units leaves no change.
Play a card-matching race where students pair integer cards with their opposites and record each zero-sum equation.
Use a bank account example where a $25 deposit cancels a $25 withdrawal, then have students create another balanced transaction.
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Printable 7.NS.A.1a Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.7.NS.A.1a, 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
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.6.NS.C.5
Representing positive and negative real-world quantities and zero supports explaining how equal opposites cancel to make zero.
- CCSS.Math.Content.6.NS.C.6a
Understanding opposite numbers and zero on the number line supports recognizing real-world quantities that cancel each other to make 0.
What This Unlocks
Mastery here sets students up for these next.
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