📐 Part 1: Angle Types and Vocabulary

1. Match each angle type with its correct measurement range:

1. Acute angle

2. Right angle

3. Obtuse angle

4. Straight angle

5. Reflex angle

A. Exactly 90°

B. Between 0° and 90°

C. Between 90° and 180°

D. Exactly 180°

E. Between 180° and 360°

2. Circle the correct answer for each angle type:

An angle measuring 45° is:

Acute

Right

Obtuse

Reflex

An angle measuring 135° is:

Acute

Right

Obtuse

Reflex

🎯 Part 2: Estimating Angles

3. Before measuring with a protractor, estimate the size of each angle. Write your estimate, then measure with your protractor and record the actual measurement.

Angle A:

My estimate: _______ degrees

Actual measurement: _______ degrees

Difference: _______ degrees

Angle B:

My estimate: _______ degrees

Actual measurement: _______ degrees

Difference: _______ degrees

Angle C:

My estimate: _______ degrees

Actual measurement: _______ degrees

Difference: _______ degrees

4. Which benchmark angles help you estimate? Check all that apply:

90° (right angle)

180° (straight line)

45° (half of a right angle)

360° (full turn)

📏 Part 3: Using a Protractor Correctly

5. Fill in the blanks about proper protractor technique:

To measure an angle correctly, place the __________ of the protractor on the vertex of the angle. Align the __________ line of the protractor with one arm of the angle. Read the measurement where the other arm crosses the protractor scale, using the scale that starts from __________.

6. What are common mistakes when using a protractor? Check all that apply:

Not placing the centre point on the vertex

Reading from the wrong scale

Not aligning the baseline properly

Estimating instead of measuring

Moving the protractor while reading

7. Draw an angle that measures exactly 75°:

🧮 Part 4: Angle Relationships and Problem Solving

8. If two angles form a straight line and one angle measures 65°, what is the measurement of the other angle?

Answer: _______ degrees

9. Three angles meet at a point. Two of them measure 85° and 140°. What is the measurement of the third angle?

Answer: _______ degrees

10. In a triangle, one angle measures 90° and another measures 35°. What is the measurement of the third angle?

Answer: _______ degrees

🌏 Part 5: Real-World Applications

11. Describe three real-world situations where measuring angles accurately is important:

12. A builder needs to cut a piece of timber at a 60° angle. Using your protractor, draw the angle the builder should cut:

13. In Māori navigation, directions are often described using angles. If a navigator turns 45° to the right from due north, what direction are they now facing?

Northeast

East

Southeast

South