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True or False Equations

Second graders learn that the equal sign is not a signal to write an answer but a promise that both sides are worth the same, and test number sentences, sorting them into true and false.

Grade 2True or False Equations30 minutes1 class periodPlay-BasedExplicit teaching4 StandardsCommon Core
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Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Know = means same.
  • ✓Check both sides.
  • ✓Tell true from false.
  • ✓Sort each equation.
Essential Question

The equal sign means both sides are worth the same. So is 3 + 4 = 7 true, and is 2 + 2 = 5? How do you check whether an equation is true or false?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Sort the Equations · Interactive

Sort the Equations

Project this and sort each equation into true or false — tap an equation, then tap whether both sides are equal.

⚖️ Sort each equation: true or false?Try it
✅ True
❌ False
Tap an equation, then tap whether it is true (both sides equal) or false.
The Lesson · Play-Based Learning (Gather · Explore · Play · Reflect)

30 minutes, five moves

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

1

Hook — Is It Really Equal

5 min

The equal sign means both sides are worth the same amount. So is 3 + 4 = 7 true? Is 2 + 2 = 5? How can you check whether an equation is true or false?

👩‍🏫 Teacher Moves

  • Show a true and a false sentence.
  • Ask which is which.
  • Set the goal.

🎒 Student Actions

  • Think.
  • Share.
  • Get ready.
2

Use — Sort the Equations

12 min

Students sort equations into true and false.

👩‍🏫 Teacher Moves

  • Send students to Sort the Equations.
  • Drop each one.
  • Explain each choice.

🎒 Student Actions

  • Sort.
  • Say.
  • Explain.
3

Modify — Check Both Sides

13 min

Students test an equation.

👩‍🏫 Teacher Moves

  • Pick an equation.
  • Add up each side.
  • Say true or false.

🎒 Student Actions

  • Pick.
  • Add.
  • Say.
4

Create — Make It True

15 min

Students fix false equations.

👩‍🏫 Teacher Moves

  • Take a false equation.
  • Change one number.
  • Make it true.

🎒 Student Actions

  • Take.
  • Change.
  • Fix.
5

Reflect — The Equal Sign

5 min

Students reflect on equations.

👩‍🏫 Teacher Moves

  • What does the equal sign really mean?
  • How do you know if an equation is false?
  • Complete the exit ticket.

🎒 Student Actions

  • Say it.
  • Say it.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics (Grade 2).

CCSS
1.OA.D.7

Understand the meaning of the equal sign and tell if equations are true or false.

CCSS
1.OA.D.8

Determine the unknown number that makes an equation true.

CCSS
2.OA.B.2

Fluently add and subtract within 20 to check equations.

CCSS
MP.3

Construct viable arguments and critique the reasoning of others.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Equation cards with counters.
  • Sentence frame: “___ equals ___ , so it is ___ .”
  • Sort two equations at a time.

Support & Access

IEP / 504
  • Start with sums to 10.
  • Build each side with cubes.
  • Sort the true ones first.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Add equations with numbers on both sides.
  • Find the missing number that makes it true.
  • Explain why = is not just before an answer.
Materials

What to gather

  • 📽️Projector / board
  • ⚖️A balance scale
  • 💻Sort the Equations
  • 🔴Counters / cubes
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

equationa number sentence with an equal signequal signthe = symbol, meaning both sides are the sametrue equationone where both sides are worth the same amountfalse equationone where the two sides are not the sameboth sidesthe parts to the left and right of the equal signbalancethe idea that both sides weigh the samesumthe total when you adddifferencethe result when you subtract
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 does the equal sign really mean?
That both sides of the equation are worth the same amount, not that an answer comes next.
QUESTION 2
How do you know if an equation is false?
Add up each side; if the two sides are not the same amount, the equation is false.
QUESTION 3
Is 9 = 4 + 4 true or false? How do you know?
False, because 4 + 4 is 8, not 9, so the two sides are not equal.

Create: make it true.

Have students take a false equation, change one number, and make it true, so the equal sign becomes a balance they can test. A printable true-or-false-equations worksheet is in the Mathematics 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.

🃏 True or False EquationsFlip
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.

📝 True or False EquationsQuiz
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.

🖨️ True or False EquationsPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: balance, both sides, difference, equal sign, equation, false equation, sum, true equation
  1. one where the two sides are not the same
  2. the parts to the left and right of the equal sign
  3. the total when you add
  4. the result when you subtract
  5. one where both sides are worth the same amount
  6. the idea that both sides weigh the same
  7. a number sentence with an equal sign
  8. the = symbol, meaning both sides are the same

Part B · Show what you learned

  1. What does the equal sign really mean?
  2. How do you know if an equation is false?
  3. Is 9 = 4 + 4 true or false? How do you know?
Answer key — Part A: 1) false equation · 2) both sides · 3) sum · 4) difference · 5) true equation · 6) balance · 7) equation · 8) equal sign
Part B: 1) That both sides of the equation are worth the same amount, not that an answer comes next. 2) Add up each side; if the two sides are not the same amount, the equation is false. 3) False, because 4 + 4 is 8, not 9, so the two sides are not equal.