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Measuring Angles

Fourth graders discover that an angle is an amount of turn measured in degrees, learn to read a protractor, and connect right, acute, and obtuse angles to the numbers that describe them.

Grade 4Measuring Angles50 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…

  • ✓Know an angle is a turn.
  • ✓Measure in degrees.
  • ✓Read a protractor.
  • ✓Judge angle size.
Essential Question

Two angles both look like corners, but one is barely open and one is nearly flat. How do you measure exactly how open an angle is, so you can compare them with a number?

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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 Measuring Angles · Interactive

Explore Measuring Angles

Project this and open each card to explore degrees, the protractor, and how to measure an angle.

📐 Explore how angles are measured in degreesTry 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 — How Open Is It

5 min

Two angles both look like corners, but one is barely open and one is nearly flat. How do you measure exactly how open an angle is, so you can compare them with a number?

👩‍🏫 Teacher Moves

  • Show a small and a wide angle.
  • Ask which is bigger and by how much.
  • Set the goal.

🎒 Student Actions

  • Think.
  • Share.
  • Get ready.
2

Use — Explore Measuring Angles

12 min

Students explore how angles are measured.

👩‍🏫 Teacher Moves

  • Send students to Explore Measuring Angles.
  • Open each card.
  • Note the ideas.

🎒 Student Actions

  • Explore.
  • Read.
  • Note it.
3

Modify — Read the Protractor

13 min

Students read angle measures.

👩‍🏫 Teacher Moves

  • Pick an angle.
  • Line up the protractor.
  • Read the degrees.

🎒 Student Actions

  • Pick.
  • Line up.
  • Read.
4

Create — My Angle Set

15 min

Students draw measured angles.

👩‍🏫 Teacher Moves

  • Draw a right, acute, and obtuse angle.
  • Measure each one.
  • Label the degrees.

🎒 Student Actions

  • Draw.
  • Measure.
  • Label.
5

Reflect — Degrees of Turn

5 min

Students reflect on measuring angles.

👩‍🏫 Teacher Moves

  • What unit measures an angle?
  • How many degrees is a right angle?
  • 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
4.MD.C.5

Understand that an angle is measured in degrees as a fraction of a full turn.

CCSS
4.MD.C.6

Measure and draw angles in whole-number degrees using a protractor.

CCSS
4.MD.C.7

Recognize that an angle can be split into parts that add up.

CCSS
MP.5

Use appropriate tools strategically.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Angle picture cards.
  • Sentence frame: “This angle is about ___ degrees.”
  • Explore one card at a time.

Support & Access

IEP / 504
  • Start with a right angle.
  • Measure one angle together.
  • Explore one idea before the next.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Estimate an angle before measuring it.
  • Measure angles inside real shapes.
  • Explain why ray length does not change the angle.
Materials

What to gather

  • 📽️Projector / board
  • 🧮Protractors
  • 💻Explore Measuring Angles
  • 📐Angle cards to measure
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

anglethe amount of turn between two rays that meetdegreethe unit used to measure an angle, written °protractora tool used to measure angles in degreesright anglean angle of exactly 90 degrees, a square corneracute anglean angle less than 90 degreesobtuse anglean angle more than 90 but less than 180 degreesraya straight part of an angle that starts at the pointvertexthe point where the two rays of an angle meet
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 unit is used to measure an angle?
Degrees, written with a small circle like 90°.
QUESTION 2
How many degrees is a right angle?
Exactly 90 degrees, which makes a square corner.
QUESTION 3
How do you tell an acute angle from an obtuse one?
An acute angle is less than 90°; an obtuse angle is more than 90° but less than 180°.

Create: my angle set.

Have students draw a right, acute, and obtuse angle, measure each with a protractor, and label the degrees, so measuring becomes real practice. A printable measuring-angles 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.

🃏 Measuring AnglesFlip
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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.

📝 Measuring AnglesQuiz
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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.

🖨️ Measuring AnglesPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: acute angle, angle, degree, obtuse angle, protractor, ray, right angle, vertex
  1. an angle of exactly 90 degrees, a square corner
  2. an angle less than 90 degrees
  3. a straight part of an angle that starts at the point
  4. the point where the two rays of an angle meet
  5. a tool used to measure angles in degrees
  6. an angle more than 90 but less than 180 degrees
  7. the amount of turn between two rays that meet
  8. the unit used to measure an angle, written °

Part B · Show what you learned

  1. What unit is used to measure an angle?
  2. How many degrees is a right angle?
  3. How do you tell an acute angle from an obtuse one?
Answer key — Part A: 1) right angle · 2) acute angle · 3) ray · 4) vertex · 5) protractor · 6) obtuse angle · 7) angle · 8) degree
Part B: 1) Degrees, written with a small circle like 90°. 2) Exactly 90 degrees, which makes a square corner. 3) An acute angle is less than 90°; an obtuse angle is more than 90° but less than 180°.