Home›Lesson Plans›Mathematics›Expressions & Equations · Grade 6

Equation or Expression

Sixth graders learn that an expression is a math phrase you can simplify while an equation is a statement you can solve, and the equal sign is what tells them apart, then sort statements into the two groups.

Grade 6Equation or Expression30 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 what an expression is.
  • ✓Know what an equation is.
  • ✓Spot the equal sign.
  • ✓Sort each one.
Essential Question

In math, 4x + 2 is like a phrase and 4x + 2 = 10 is like a full sentence, and the equal sign is the difference. How do you tell an expression from an equation?

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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 Statements · Interactive

Sort the Statements

Project this and sort each one into equation or expression — tap a statement, then tap whether it has an equal sign.

🧮 Sort each one: equation or expression?Try it
🟰 Equation (has an = sign)
📝 Expression (no = sign)
Tap a math statement, then tap whether it is an equation (has an equal sign) or an expression (no equal sign).
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 — Phrase or Sentence

5 min

In math, 4x + 2 is like a phrase, and 4x + 2 = 10 is like a full sentence. The equal sign is the difference. How do you tell an expression from an equation?

👩‍🏫 Teacher Moves

  • Show one of each.
  • Ask what is different.
  • Set the goal.

🎒 Student Actions

  • Think.
  • Share.
  • Get ready.
2

Use — Sort the Statements

12 min

Students sort statements into equation and expression.

👩‍🏫 Teacher Moves

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

🎒 Student Actions

  • Sort.
  • Say.
  • Explain.
3

Modify — Add the Equal Sign

13 min

Students turn expressions into equations.

👩‍🏫 Teacher Moves

  • Take an expression.
  • Set it equal to a value.
  • Say why it is now an equation.

🎒 Student Actions

  • Take.
  • Set.
  • Say.
4

Create — My Pairs

15 min

Students write both kinds.

👩‍🏫 Teacher Moves

  • Write three expressions.
  • Turn each into an equation.
  • Label which is which.

🎒 Student Actions

  • Write.
  • Turn.
  • Label.
5

Reflect — The Equal Sign Decides

5 min

Students reflect on the difference.

👩‍🏫 Teacher Moves

  • What makes something an equation, not an expression?
  • Can you solve an expression?
  • 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 6).

CCSS
6.EE.A.2

Write, read, and evaluate expressions in which letters stand for numbers.

CCSS
6.EE.B.5

Understand solving an equation as finding values that make it true.

CCSS
6.EE.B.7

Solve real-world problems by writing and solving equations.

CCSS
MP.6

Attend to precision.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Statement cards.
  • Sentence frame: “This has / has no equal sign, so it is a(n) ___ .”
  • Sort two statements at a time.

Support & Access

IEP / 504
  • Start with a clear equation and expression.
  • Point to the equal sign together.
  • Sort the equations first.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Add statements with variables on both sides.
  • Turn each expression into an equation.
  • Explain why only equations can be solved.
Materials

What to gather

  • 📽️Projector / board
  • 🖼️Statement cards
  • 💻Sort the Statements
  • 🧮Number and variable tiles
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

expressiona math phrase with numbers and operations, no equal signequationa statement that two expressions are equal, with an = signequal signthe = symbol that sets two sides equalvariablea letter that stands for a numberterma single number or variable part of an expressionevaluateto find the value of an expressionsolveto find the value that makes an equation trueoperationadding, subtracting, multiplying, or dividing
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 makes something an equation instead of an expression?
An equation has an equal sign that sets two expressions equal; an expression is just a math phrase with no equal sign.
QUESTION 2
Can you solve an expression?
No. You can evaluate or simplify an expression, but solving means finding a value that makes an equation true, and that needs an equal sign.
QUESTION 3
Is 4x − 1 an equation or an expression?
An expression, because it has no equal sign.

Create: my pairs.

Have students write three expressions, turn each into an equation, and label which is which, so the role of the equal sign stands out. A printable equation-or-expression 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.

🃏 Equation or ExpressionFlip
Card 1
Term
Tap to flip →
Meaning
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Nice work!

Practice · Quiz

Check your understanding

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

📝 Equation or ExpressionQuiz
Score: 0
1 / 6
Question 1
0%

Nice work!

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.

🖨️ Equation or ExpressionPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: equal sign, equation, evaluate, expression, operation, solve, term, variable
  1. a letter that stands for a number
  2. a single number or variable part of an expression
  3. to find the value that makes an equation true
  4. adding, subtracting, multiplying, or dividing
  5. the = symbol that sets two sides equal
  6. to find the value of an expression
  7. a math phrase with numbers and operations, no equal sign
  8. a statement that two expressions are equal, with an = sign

Part B · Show what you learned

  1. What makes something an equation instead of an expression?
  2. Can you solve an expression?
  3. Is 4x − 1 an equation or an expression?
Answer key — Part A: 1) variable · 2) term · 3) solve · 4) operation · 5) equal sign · 6) evaluate · 7) expression · 8) equation
Part B: 1) An equation has an equal sign that sets two expressions equal; an expression is just a math phrase with no equal sign. 2) No. You can evaluate or simplify an expression, but solving means finding a value that makes an equation true, and that needs an equal sign. 3) An expression, because it has no equal sign.