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Exponents: Repeated Multiplication

Sixth graders learn exponents — a short way to write repeated multiplication, so 3⁴ means 3 × 3 × 3 × 3 — and how to evaluate them, avoiding the classic mix-up with regular multiplication.

Grade 6Exponents50 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…

  • ✓Write exponents.
  • ✓Evaluate a power.
  • ✓Name the base and exponent.
  • ✓Avoid the × mix-up.
Essential Question

3 × 3 × 3 × 3 — is there a shorter way to write that? Exponents pack repeated multiplication into a tiny, powerful notation!

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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

Exponent Explorer

Project this and change the base and exponent. Watch the power expand into repeated multiplication — and see the value!

🔢 Change the base & exponent — see the power!Try it
Base: 3
Exponent: 4

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 — A Shorter Way

5 min

3 × 3 × 3 × 3 — how could we write that faster?

👩‍🏫 Teacher Moves

  • Show repeated multiplication.
  • Ask for a shortcut.
  • Set the goal: exponents.

🎒 Student Actions

  • See the repeats.
  • Wonder about a shortcut.
  • Predict exponents.
2

I Do — Base & Exponent

10 min

Teacher models.

👩‍🏫 Teacher Moves

  • Name the base and exponent.
  • Expand the power.
  • Evaluate it.

🎒 Student Actions

  • Learn the parts.
  • Expand it.
  • Evaluate it.
3

We Do — Explore Together

13 min

Class uses Exponent Explorer.

👩‍🏫 Teacher Moves

  • Change base and exponent.
  • Read the expansion.
  • Find the value.

🎒 Student Actions

  • Set values.
  • Read it.
  • Find the value.
4

You Do — On Your Own

12 min

Students evaluate.

👩‍🏫 Teacher Moves

  • Write and evaluate powers.
  • Avoid the × mistake.
  • Use exponents in expressions.

🎒 Student Actions

  • Evaluate them.
  • Avoid the trap.
  • Use them.
5

Close — Close

5 min

One power.

👩‍🏫 Teacher Moves

  • Give a power.
  • Evaluate it.
  • Hand out the exit ticket.

🎒 Student Actions

  • Evaluate it.
  • Explain it.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics.

CCSS
6.EE.1

Write and evaluate numerical expressions involving whole-number exponents.

CCSS
6.EE.1

Understand exponents as repeated multiplication.

CCSS
6.EE.2

Evaluate expressions with exponents.

SMP
MP.2

Reason about the meaning of exponents.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Show expansion under the power.
  • Sentence frame: “___ to the ___ is ___.”
  • Highlight base vs. exponent.

Support & Access

IEP / 504
  • Start with squares.
  • Write out the expansion.
  • Evaluate step by step.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Use exponents in order of operations.
  • Explore powers of 2.
  • Write prime factorization with exponents.
Materials

What to gather

  • 📽️Projector / board
  • 🧮Calculators
  • 💻Exponent Explorer
  • 📄Practice sheets
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

exponenthow many times to multiply the basebasethe number being multipliedpowera base raised to an exponentsquaredto the 2nd powercubedto the 3rd powerevaluateto find the valuerepeated multiplicationmultiplying the same numberfactora number being multiplied
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 2⁵ mean?
2 × 2 × 2 × 2 × 2 = 32.
QUESTION 2
In 7³, what is the base and what is the exponent?
The base is 7 and the exponent is 3.
QUESTION 3
Is 4² the same as 4 × 2? Why or why not?
No — 4² = 4 × 4 = 16, but 4 × 2 = 8. The exponent means repeated multiplication, not multiply by the exponent.

Going deeper? Powers in expressions.

Have students evaluate expressions that mix exponents with order of operations, like 2 + 3² × 4. A printable exponents 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.

🃏 ExponentsFlip
Card 1
Term
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Meaning
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Practice · Quiz

Check your understanding

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

📝 ExponentsQuiz
Score: 0
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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.

🖨️ ExponentsPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: base, cubed, evaluate, exponent, factor, power, repeated multiplication, squared
  1. multiplying the same number
  2. how many times to multiply the base
  3. a base raised to an exponent
  4. a number being multiplied
  5. the number being multiplied
  6. to the 3rd power
  7. to find the value
  8. to the 2nd power

Part B · Show what you learned

  1. What does 2⁵ mean?
  2. In 7³, what is the base and what is the exponent?
  3. Is 4² the same as 4 × 2? Why or why not?
Answer key — Part A: 1) repeated multiplication · 2) exponent · 3) power · 4) factor · 5) base · 6) cubed · 7) evaluate · 8) squared
Part B: 1) 2 × 2 × 2 × 2 × 2 = 32. 2) The base is 7 and the exponent is 3. 3) No — 4² = 4 × 4 = 16, but 4 × 2 = 8. The exponent means repeated multiplication, not multiply by the exponent.