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Exponents

Sixth graders explore exponents, the shorthand for repeated multiplication, learning the base and exponent, squares and cubes, and how to read and evaluate a power.

Grade 6Exponents50 minutes1 class periodGradual ReleaseExplicit 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…

  • ✓Define an exponent.
  • ✓Name base & power.
  • ✓Evaluate squares & cubes.
  • ✓Read a power aloud.
Essential Question

Writing 2 × 2 × 2 × 2 × 2 × 2 is a lot. How do exponents capture repeated multiplication in a compact way?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Explore Exponents · Interactive

Explore Exponents

Project this and open each card to explore exponents, from the base and exponent to squares and cubes.

🔢 Explore exponents and powersTry it

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

Hook — A Shorter Way

5 min

Writing 2 × 2 × 2 × 2 × 2 × 2 is a lot. Mathematicians found a shorter way to write repeated multiplication. What is it?

👩‍🏫 Teacher Moves

  • Show the long product.
  • Ask for a shortcut.
  • Set the goal.

🎒 Student Actions

  • Think.
  • Share.
  • Get ready.
2

Use — Explore Exponents

12 min

Students explore exponents.

👩‍🏫 Teacher Moves

  • Send students to Explore Exponents.
  • Open each card.
  • Name the idea.

🎒 Student Actions

  • Explore.
  • Read.
  • Say it.
3

Modify — Expand and Evaluate

13 min

Students expand and compute a power.

👩‍🏫 Teacher Moves

  • Write a power.
  • Expand it as a product.
  • Find its value.

🎒 Student Actions

  • Write.
  • Expand.
  • Find.
4

Create — Power Chart

15 min

Students build a squares-and-cubes chart.

👩‍🏫 Teacher Moves

  • List the numbers 1 to 10.
  • Write each one squared.
  • Write a few cubed.

🎒 Student Actions

  • List.
  • Square.
  • Cube.
5

Reflect — Repeated Multiplication

5 min

Students reflect on exponents.

👩‍🏫 Teacher Moves

  • What does an exponent tell you to do?
  • What is 5 squared?
  • 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.

CCSS
6.EE.A.1

Write and evaluate numerical expressions involving whole-number exponents.

CCSS
6.EE.A.2

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

CCSS
5.NBT.A.2

Explain patterns in the number of zeros using whole-number exponents of 10.

CCSS
MP.7

Look for and make use of structure.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Base/exponent cards.
  • Sentence frame: “___ to the ___ power = ___ .”
  • Explore one idea at a time.

Support & Access

IEP / 504
  • Start with squares of 1 to 5.
  • Expand each power as a product first.
  • Name base and exponent before evaluating.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Connect squares to area and cubes to volume.
  • Evaluate powers with a base of 10.
  • Introduce order of operations with exponents.
Materials

What to gather

  • 📽️Projector / board
  • 🔢Base/exponent cards
  • 💻Explore Exponents
  • 🧮Squares-and-cubes chart
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

exponentthe small raised number telling how many times to multiply the basebasethe number being multiplied in a powerpowera base raised to an exponent, like 2 to the 3rdsquaredraised to the 2nd powercubedraised to the 3rd powerfactora number multiplied with anotherproductthe result of multiplyingevaluateto find the value of an expression
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 an exponent tell you to do?
How many times to multiply the base by itself.
QUESTION 2
What is 5 squared, and what does it mean?
25, because 5 squared is 5 × 5.
QUESTION 3
Write 3 to the 4th power as a product and find its value.
3 × 3 × 3 × 3 = 81.

Create: a power chart.

Have students list the numbers 1 to 10, write each one squared, and cube a few, so the pattern of powers becomes something they can see. A printable exponents 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.

🃏 ExponentsFlip
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.

📝 ExponentsQuiz
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.

🖨️ ExponentsPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: base, cubed, evaluate, exponent, factor, power, product, squared
  1. raised to the 2nd power
  2. raised to the 3rd power
  3. the result of multiplying
  4. to find the value of an expression
  5. a base raised to an exponent, like 2 to the 3rd
  6. a number multiplied with another
  7. the small raised number telling how many times to multiply the base
  8. the number being multiplied in a power

Part B · Show what you learned

  1. What does an exponent tell you to do?
  2. What is 5 squared, and what does it mean?
  3. Write 3 to the 4th power as a product and find its value.
Answer key — Part A: 1) squared · 2) cubed · 3) product · 4) evaluate · 5) power · 6) factor · 7) exponent · 8) base
Part B: 1) How many times to multiply the base by itself. 2) 25, because 5 squared is 5 × 5. 3) 3 × 3 × 3 × 3 = 81.