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Angle Exploration Worksheet

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Angle Exploration Worksheet

Year 5–6 | Exploring Geometry Concepts – Lesson 2

Angles illustration showing acute, right, and obtuse angles

📐 Part 1: Know Your Angles

Angle Types to Remember:

🔹 Acute angle — less than 90°  |  🔹 Right angle — exactly 90°  |  🔹 Obtuse angle — greater than 90° but less than 180°

1. Circle the correct angle type for each measurement:

a) 45°

Acute

Right

Obtuse

b) 90°

Acute

Right

Obtuse

c) 130°

Acute

Right

Obtuse

d) 72°

Acute

Right

Obtuse

2. Tick ALL the statements that are true about angles:

A right angle is exactly 90°.

An acute angle is bigger than a right angle.

An obtuse angle is between 90° and 180°.

Angles are measured using a protractor.

A straight angle is 360°.

📏 Part 2: Measuring Angles in Real Objects

Instructions: Use your protractor to measure the angle on each real-life object shown (or pointed out by your teacher). Record the object name, the angle you measured, and its classification in the table below.

💡 Tip: Line up the centre of your protractor with the vertex (corner) of the angle, and make sure one arm lines up with the base line.

Object / Description                  Measured Angle (°)                  Classification

Object 1:

Name of object: _______________________________

Measured angle: _________ °

Classification (circle one):   Acute  /  Right  /  Obtuse

Object 2:

Name of object: _______________________________

Measured angle: _________ °

Classification (circle one):   Acute  /  Right  /  Obtuse

Object 3:

Name of object: _______________________________

Measured angle: _________ °

Classification (circle one):   Acute  /  Right  /  Obtuse

Object 4:

Name of object: _______________________________

Measured angle: _________ °

Classification (circle one):   Acute  /  Right  /  Obtuse

5. Draw an example of an acute angle in the box below. Label the angle with its approximate size in degrees.

🌟 Part 3: Extension — Turns and Fractions of a Circle

Think about how angles relate to turns. A full turn around in a circle = 360°.

6. Complete the table by filling in the missing information:

A quarter turn = _________ °    This is the same as a _____________ angle.

A half turn = _________ °    This is called a _____________ angle.

A full turn = _________ °

7. If you turn 3/4 of the way around a circle, how many degrees have you turned?
8. Explain in your own words: How is a right angle related to a full turn of a circle? Use the word fraction in your answer.

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