Home›Lesson Plans›Mathematics›Ratios & Proportional Relationships · Grade 6

Percents: Parts Out of 100

Sixth graders learn percents as a special ratio — parts out of 100 — and how to find a percent of a number, connecting percents to fractions and decimals for real-world use in sales, tips, and scores.

Grade 6Percents50 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…

  • ✓Understand percent as parts of 100.
  • ✓Find a percent of a number.
  • ✓Connect percents, fractions, and decimals.
  • ✓Solve real percent problems.
Essential Question

A store sign says “25% off!” and your test score is “90%.” Percents are everywhere. What does a percent really mean, and how do you find one?

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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

Find the Percent

Project each item and have students find the percent. The tool connects percents to fractions and decimals.

% Find the percentTry it
Find each percent.
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 — Percents Everywhere

5 min

“25% off” and “90% score” — what does percent mean?

👩‍🏫 Teacher Moves

  • Show real percents.
  • Ask what percent means.
  • Set the goal: percents.

🎒 Student Actions

  • See percents.
  • Wonder what they mean.
  • Predict “out of 100.”
2

I Do — Parts of 100

10 min

Teacher models.

👩‍🏫 Teacher Moves

  • Percent means out of 100.
  • Find a percent of a number.
  • Connect to fractions and decimals.

🎒 Student Actions

  • Learn the meaning.
  • Find a percent.
  • See the links.
3

We Do — Solve Together

13 min

Class uses Find the Percent.

👩‍🏫 Teacher Moves

  • Find each percent.
  • Explain the method.
  • Connect to a fraction.

🎒 Student Actions

  • Find them.
  • Explain it.
  • Connect it.
4

You Do — On Your Own

12 min

Students find percents.

👩‍🏫 Teacher Moves

  • Find percents of numbers.
  • Convert percent-fraction-decimal.
  • Solve real problems.

🎒 Student Actions

  • Find percents.
  • Convert them.
  • Solve one.
5

Close — Close

5 min

One percent.

👩‍🏫 Teacher Moves

  • Give a percent problem.
  • Solve it.
  • Hand out the exit ticket.

🎒 Student Actions

  • Solve 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.RP.3c

Find a percent of a quantity as a rate per 100.

CCSS
6.RP.3

Use ratio and rate reasoning to solve problems.

CCSS
6.RP.1

Understand the concept of a ratio.

SMP
MP.6

Attend to precision converting percents, fractions, decimals.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Percent-fraction-decimal cards.
  • Sentence frame: “___% of ___ is ___.”
  • Use a 100-grid.

Support & Access

IEP / 504
  • Start with 50% and 10%.
  • Use a 100-grid.
  • Connect to money (cents).

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Find percent increase/decrease.
  • Find the whole from a percent.
  • Solve tip and discount problems.
Materials

What to gather

  • 📽️Projector / board
  • 📐100-grids
  • 💻Find the Percent
  • 💵Play money
  • 🧮Calculators
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

percentparts out of 100percent signthe % symbolratioa comparison of two amountsfractiona part of a wholedecimala number with a decimal pointofmeans multiply, in percent problemsdiscounta percent taken offequivalentequal in value
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 75% mean?
75 out of 100 (three-fourths).
QUESTION 2
What is 20% of 50?
10.
QUESTION 3
What fraction is equal to 50%?
1/2.

Going deeper? Discounts and tips.

Have students find real-world percents — like a 20% discount on a price or a 15% tip on a bill. A printable percents 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.

🃏 PercentsFlip
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.

📝 PercentsQuiz
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.

🖨️ PercentsPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: decimal, discount, equivalent, fraction, of, percent, percent sign, ratio
  1. a part of a whole
  2. a percent taken off
  3. parts out of 100
  4. a number with a decimal point
  5. equal in value
  6. the % symbol
  7. a comparison of two amounts
  8. means multiply, in percent problems

Part B · Show what you learned

  1. What does 75% mean?
  2. What is 20% of 50?
  3. What fraction is equal to 50%?
Answer key — Part A: 1) fraction · 2) discount · 3) percent · 4) decimal · 5) equivalent · 6) percent sign · 7) ratio · 8) of
Part B: 1) 75 out of 100 (three-fourths). 2) 10. 3) 1/2.