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Rounding Numbers

Third graders learn to round whole numbers to the nearest ten and hundred by finding which ten or hundred a number sits closest to, and check what they know.

Grade 3Rounding Numbers50 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…

  • ✓Explain what rounding means.
  • ✓Round to the nearest ten.
  • ✓Round to the nearest hundred.
  • ✓Use the halfway rule.
Essential Question

A lot has 68 cars, but about how many would you tell a friend? Rounding gives a close, friendly number. How do we find it?

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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

Rounding Check

Project this and answer each question about rounding to the nearest ten and hundred — read the explanation after each one.

🔢 Check what you know about roundingTry it
Answer each question about rounding to the nearest ten and hundred.
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 — About How Many?

5 min

A sign says 68 cars are in the lot. If a friend asks about how many, you would not say 68. What would you say?

👩‍🏫 Teacher Moves

  • Show the number 68.
  • Ask for a round answer.
  • Set the goal.

🎒 Student Actions

  • Think.
  • Share.
  • Get ready.
2

Use — Rounding Check

12 min

Students answer questions about rounding.

👩‍🏫 Teacher Moves

  • Send students to the Rounding Check.
  • Answer each question.
  • Read the why.

🎒 Student Actions

  • Answer.
  • Check.
  • Read it.
3

Modify — Which Ten?

13 min

Students round numbers to the nearest ten.

👩‍🏫 Teacher Moves

  • Show a two-digit number.
  • Name the two tens it sits between.
  • Pick the closer ten.

🎒 Student Actions

  • Show.
  • Name.
  • Pick.
4

Create — Round on a Line

15 min

Students round using a number line.

👩‍🏫 Teacher Moves

  • Draw a number line between two tens.
  • Mark the number.
  • Round to the closer end.

🎒 Student Actions

  • Draw.
  • Mark.
  • Round.
5

Reflect — Closest Ten or Hundred

5 min

Students reflect on rounding.

👩‍🏫 Teacher Moves

  • What does it mean to round a number?
  • Which way do you round when the digit is 5?
  • 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
3.NBT.A.1

Use place value understanding to round whole numbers to the nearest 10 or 100.

CCSS
3.NBT.A.2

Fluently add and subtract within 1000 using strategies based on place value.

CCSS
4.NBT.A.3

Use place value understanding to round multi-digit whole numbers to any place.

CCSS
MP.7

Look for and make use of structure.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Number-line strips between tens.
  • Sentence frame: “___ is closer to ___ .”
  • Round one number at a time.

Support & Access

IEP / 504
  • Start by rounding to the nearest ten.
  • Circle the two tens a number sits between.
  • Mark the number on a line first.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Round to the nearest hundred and thousand.
  • Round in real estimation problems.
  • Explain why we round up at the halfway point.
Materials

What to gather

  • 📽️Projector / board
  • 📏Number-line strips
  • 💻Rounding Check
  • 🧮Number cards
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

roundto replace a number with the nearest ten, hundred, or other placenearest tenthe closest multiple of ten, like 40 or 70nearest hundredthe closest multiple of a hundred, like 200 or 300place valuethe value a digit has because of its place in a numberestimatea close guess of an amount, often using rounded numbershalfwaythe point exactly between two numbers, like 5 between 0 and 10round upto move to the higher ten or hundredround downto move to the lower ten or hundred
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 it mean to round a number?
To replace it with the closest friendly number, such as the nearest ten or hundred.
QUESTION 2
Round 73 to the nearest ten. How do you know?
70, because 73 is between 70 and 80 and is closer to 70 (the ones digit 3 is less than 5).
QUESTION 3
Which way do you round when the ones digit is 5?
You round up to the higher ten.

Create: round on a line.

Have students draw a number line between two tens, mark the number, and round it to the closer end, so the idea of closest becomes something they can see. A printable rounding 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.

🃏 Rounding NumbersFlip
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.

📝 Rounding NumbersQuiz
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.

🖨️ Rounding NumbersPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: estimate, halfway, nearest hundred, nearest ten, place value, round, round down, round up
  1. the value a digit has because of its place in a number
  2. a close guess of an amount, often using rounded numbers
  3. to move to the higher ten or hundred
  4. to move to the lower ten or hundred
  5. the closest multiple of a hundred, like 200 or 300
  6. the point exactly between two numbers, like 5 between 0 and 10
  7. to replace a number with the nearest ten, hundred, or other place
  8. the closest multiple of ten, like 40 or 70

Part B · Show what you learned

  1. What does it mean to round a number?
  2. Round 73 to the nearest ten. How do you know?
  3. Which way do you round when the ones digit is 5?
Answer key — Part A: 1) place value · 2) estimate · 3) round up · 4) round down · 5) nearest hundred · 6) halfway · 7) round · 8) nearest ten
Part B: 1) To replace it with the closest friendly number, such as the nearest ten or hundred. 2) 70, because 73 is between 70 and 80 and is closer to 70 (the ones digit 3 is less than 5). 3) You round up to the higher ten.