Home›Lesson Plans›Mathematics›The Number System · Grade 7

Adding & Subtracting Integers: Moving Both Ways

Students learn to add and subtract positive and negative numbers by moving along a number line — discovering that adding a negative is the same as subtracting, and building the rules for signs.

Grade 7Integers50 minutes1 class periodGradual ReleaseExplicit teaching4 StandardsCommon Core
Start the Lesson
Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Add integers on a number line.
  • ✓Know adding a negative = subtracting.
  • ✓Subtract integers.
  • ✓Use the rules for signs.
Essential Question

If it’s −3° and the temperature rises 5°, what is it now? How do you add and subtract when negatives are involved?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Model · Interactive Tool

The Integer Mover

Project this and set a starting number, then add a positive or negative. Watch the hop along the number line and see where you land.

↔️ Add integers — move along the number lineTry it
Start at: -3
Add: 5

The Lesson · Gradual Release (I Do · We Do · You Do)

50 minutes, five moves

Tap any phase to open the teacher moves and student actions.

1

Launch — Below Zero, Rising

5 min

−3° rises 5° — what temperature now?

👩‍🏫 Teacher Moves

  • Pose the temperature problem.
  • Ask how to add across zero.
  • Set the goal: adding integers.

🎒 Student Actions

  • Think about the change.
  • Predict the result.
  • Guess the rule.
2

I Do — Hops on the Line

10 min

Teacher models.

👩‍🏫 Teacher Moves

  • Add a positive (move right).
  • Add a negative (move left).
  • Show adding a negative = subtracting.

🎒 Student Actions

  • Move right/left.
  • See the hops.
  • Learn the connection.
3

We Do — Move Together

13 min

Class drives the Integer Mover.

👩‍🏫 Teacher Moves

  • Set start and change values.
  • Read where you land.
  • Try adding negatives.

🎒 Student Actions

  • Set the values.
  • Read the result.
  • Try negatives.
4

You Do — On Your Own

12 min

Students add and subtract integers.

👩‍🏫 Teacher Moves

  • Assign integer add/subtract.
  • Rewrite subtraction as adding the opposite.
  • Apply sign rules.

🎒 Student Actions

  • Add integers.
  • Rewrite subtraction.
  • Use sign rules.
5

Close — Close

5 min

One integer sum.

👩‍🏫 Teacher Moves

  • Give an integer problem.
  • Solve on the line.
  • Hand out the exit ticket.

🎒 Student Actions

  • Solve it.
  • Explain the move.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics, including the Standards for Mathematical Practice.

CCSS
7.NS.1

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers.

CCSS
7.NS.1b

Understand p + q as located q away from p on a number line.

CCSS
7.NS.1c

Understand subtraction as adding the additive inverse (the opposite).

CCSS
7.NS.3

Solve real-world problems with the four operations on rational numbers.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Use a thermometer as a number line.
  • Sentence frame: “Start at ___, move ___.”
  • Use two-color chips.

Support & Access

IEP / 504
  • Start with adding positives.
  • Model each move on a line.
  • Use counters for zero pairs.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Add three or more integers.
  • Add and subtract with fractions/decimals.
  • Explain the sign rules.
Materials

What to gather

  • 📽️Projector / board
  • 📓Math notebooks
  • 💻The Integer Mover
  • 🟡Two-color chips
  • 🌡️A thermometer
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

integera positive or negative whole number, or zeropositivegreater than zeronegativeless than zerosumthe answer to additiondifferencethe answer to subtractionoppositesame distance from 0, other sideadditive inversethe opposite of a numberabsolute valuedistance from zero
Evaluate

Exit Ticket

Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.

QUESTION 1
What is −3 + 5?
2.
QUESTION 2
Rewrite 4 − 7 as an addition problem, then solve.
4 + (−7) = −3.
QUESTION 3
Adding a negative number is the same as doing what?
Subtracting (moving left on the number line).

Going deeper? Multiply and divide signs.

Have students explore the rules for multiplying and dividing integers (same signs → positive, different signs → negative). A printable sign-rules sheet is in the Math library.

Study · Flashcards

Study the key terms

Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.

🃏 Adding & Subtracting IntegersFlip
Card 1
Term
Tap to flip →
Meaning
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Practice · Quiz

Check your understanding

A quick self-check with instant feedback, drawn from this lesson’s key terms.

📝 Adding & Subtracting IntegersQuiz
Score: 0
1 / 6
Question 1
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Practice · Worksheet

Printable worksheet

A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.

🖨️ Adding & Subtracting IntegersPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: absolute value, additive inverse, difference, integer, negative, opposite, positive, sum
  1. the answer to addition
  2. greater than zero
  3. same distance from 0, other side
  4. the opposite of a number
  5. less than zero
  6. distance from zero
  7. the answer to subtraction
  8. a positive or negative whole number, or zero

Part B · Show what you learned

  1. What is −3 + 5?
  2. Rewrite 4 − 7 as an addition problem, then solve.
  3. Adding a negative number is the same as doing what?
Answer key — Part A: 1) sum · 2) positive · 3) opposite · 4) additive inverse · 5) negative · 6) absolute value · 7) difference · 8) integer
Part B: 1) 2. 2) 4 + (−7) = −3. 3) Subtracting (moving left on the number line).