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Angles: Acute, Right & Obtuse — Measured in Degrees

Students open and close an angle to see how it’s measured in degrees, and learn to name the three main kinds: acute, right, and obtuse.

Grade 4Geometry45 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…

  • ✓Explain that angles are measured in degrees.
  • ✓Identify a right angle (90°).
  • ✓Classify angles as acute, right, or obtuse.
  • ✓Estimate an angle’s measure.
Essential Question

A door barely open, a square corner, a door flung wide — all angles. How do we measure how “open” an angle is, and what do we call each kind?

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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 Protractor

The Angle Maker

Project this and open the angle from 0° to 180°. Have students watch the degree measure change and name each kind of angle.

📐 Open the angle — measure the degreesTry it
45°
Angle: 45°

The Lesson · Gradual Release (I Do · We Do · You Do)

45 minutes, five moves

Tap any phase to open the teacher moves and student actions.

1

Launch — How Open?

5 min

A door barely open vs. wide open — which angle is bigger?

👩‍🏫 Teacher Moves

  • Model opening a “door” (arm) to different angles.
  • Ask which is a bigger angle.
  • Set the goal: measuring angles.

🎒 Student Actions

  • Compare open angles.
  • Guess which is bigger.
  • Predict how we measure them.
2

I Do — Degrees & Right Angles

10 min

Teacher teaches degrees.

👩‍🏫 Teacher Moves

  • Introduce degrees; a full turn is 360°.
  • Show a right angle is 90° (a square corner).
  • Name acute (<90) and obtuse (>90).

🎒 Student Actions

  • Learn about degrees.
  • Spot a right angle.
  • Name acute and obtuse.
3

We Do — Make Angles

12 min

Class drives the Angle Maker.

👩‍🏫 Teacher Moves

  • Open the angle to key measures.
  • Classify each as acute/right/obtuse.
  • Estimate before reading the degrees.

🎒 Student Actions

  • Set target angles.
  • Classify each one.
  • Estimate the measure.
4

You Do — On Your Own

13 min

Students measure and classify.

👩‍🏫 Teacher Moves

  • Have students measure angles with a protractor.
  • Classify each type.
  • Find right angles in the room.

🎒 Student Actions

  • Measure angles.
  • Classify each.
  • Find real right angles.
5

Close — Close

5 min

Name that angle.

👩‍🏫 Teacher Moves

  • Show an angle; students classify.
  • Estimate its degrees.
  • Hand out the exit ticket.

🎒 Student Actions

  • Classify the angle.
  • Estimate degrees.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics, including the Standards for Mathematical Practice.

CCSS
4.G.1

Draw points, lines, rays, angles (right, acute, obtuse), and identify them in figures.

CCSS
4.MD.5

Recognize angles as geometric shapes formed by two rays, measured in degrees.

CCSS
4.MD.6

Measure angles in whole-number degrees using a protractor.

SMP
MP.6

Attend to precision when measuring and classifying angles.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Use arms/hands to make each angle type.
  • Sentence frame: “This angle is ___ because it is ___ 90°.”
  • Picture cards of acute/right/obtuse.

Support & Access

IEP / 504
  • Focus on right vs. not-right first.
  • Use a corner tool to test right angles.
  • Provide pre-drawn angles to classify.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Measure angles precisely with a protractor.
  • Find the missing angle on a straight line.
  • Draw an angle of a given degree.
Materials

What to gather

  • 📽️Projector / board
  • 📓Math notebooks
  • 💻The Angle Maker
  • 📐Protractors
  • 📏Rulers
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

anglethe space where two rays meetdegreethe unit for measuring anglesright anglea square corner, exactly 90°acute angleless than 90°obtuse anglebetween 90° and 180°straight angleexactly 180°raya line with one endpointprotractora tool for measuring angles
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
How many degrees is a right angle?
90 degrees (a square corner).
QUESTION 2
An angle measures 40°. What kind of angle is it?
Acute (less than 90°).
QUESTION 3
An angle measures 130°. Is it acute, right, or obtuse?
Obtuse (between 90° and 180°).

Going deeper? Go on an angle hunt.

Have students find and photograph or sketch acute, right, and obtuse angles around the school, then measure a few with a protractor. A printable angle-hunt 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.

🃏 Angles: Acute, Right & ObtuseFlip
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.

📝 Angles: Acute, Right & ObtuseQuiz
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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.

🖨️ Angles: Acute, Right & ObtusePrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: acute angle, angle, degree, obtuse angle, protractor, ray, right angle, straight angle
  1. the space where two rays meet
  2. less than 90°
  3. the unit for measuring angles
  4. a tool for measuring angles
  5. exactly 180°
  6. a line with one endpoint
  7. between 90° and 180°
  8. a square corner, exactly 90°

Part B · Show what you learned

  1. How many degrees is a right angle?
  2. An angle measures 40°. What kind of angle is it?
  3. An angle measures 130°. Is it acute, right, or obtuse?
Answer key — Part A: 1) angle · 2) acute angle · 3) degree · 4) protractor · 5) straight angle · 6) ray · 7) obtuse angle · 8) right angle
Part B: 1) 90 degrees (a square corner). 2) Acute (less than 90°). 3) Obtuse (between 90° and 180°).