Shivanya Gupta's Mathematics Project

PROJECT REPORT

 

Title: Types of Angles

 

Submitted by: 

Name: Shivanya Gupta 

Class: 6 

School: Narayana e-Techno School, Mohali

Subject: Mathematics

Academic Year: 2025-2026

 

Acknowledgement

I would like to express my sincere thanks to my Mathematics teacher for guiding me throughout this project. I am also thankful to my parents for helping me collect materials and prepare the model. Finally, I thank my classmates for their support and encouragement.

 

Aim / Objective

To understand and demonstrate the different types of angles using a handmade protractor model and chart, and to learn their definitions, degree measures, and real-life examples.

 

Materials Used

- Yellow chart paper (for base) 

- Cardboard / thick paper for protractor circle 

- Protractor (printed or drawn with degrees marked from 0° to 360°) 

- Coloured papers (blue and pink/red for sectors) 

- Sketch pens, markers, glue, scissors 

- Ruler, compass 

- Small arrows, labels, and hand-drawn diagrams 

 

Procedure / How the Model Was Made

1. I took a large yellow chart paper as the base. 

2. I pasted a circular protractor (360° scale) at the top centre, with degrees marked clearly from 0° to 360°. 

3. I coloured one sector blue (from 0° to 180°) and another pink/red (from 180° to 360° approximately) to show the division at 180°. 

4. I drew a straight line from the centre to show the straight angle (180°). 

5. I added arrows and labels pointing to different angles with names like Acute Angle, Obtuse Angle, Right Angle, Straight Angle, Reflex Angle, and Complete Angle. 

6. At the bottom, I pasted small hand-drawn examples of each angle type with arrows showing the arms and vertex. 

7. I added a title "TYPES OF ANGLES" on the side in bold pink. 

8. I also included a small box at the bottom with symbols for angles (like ∠, <, >) and some extra drawings for fun.

 

Theory / Content (Types of Angles)

An angle is formed when two rays (or arms) meet at a common point called the vertex.

Angles are classified based on their measure in degrees:

 

1. Acute Angle 

   - Measure: Greater than 0° but less than 90° 

   - Example: 30°, 45°, 60°, 75° 

   - It looks sharp and small. 

   - Real-life example: The angle at the tip of a slice of pizza or a pair of open scissors.

 

2. Right Angle 

   - Measure: Exactly 90° 

   - Example: Corner of a book, table, or wall. 

   - It forms the shape of the letter 'L'. 

   - Real-life example: Edges of a square or rectangle.

 

3. Obtuse Angle 

   - Measure: Greater than 90° but less than 180° 

   - Example: 100°, 120°, 150° 

   - It looks wide and open. 

   - Real-life example: Angle between the hour and minute hand at 4:00 on a clock.

 

4. Straight Angle 

   - Measure: Exactly 180° 

   - It forms a straight line. 

   - Real-life example: A straight road or the angle formed by an open book flat on a table.

 

5. Reflex Angle 

   - Measure: Greater than 180° but less than 360° 

   - It is the larger angle around a point. 

   - Example: 200°, 270°, 300° 

   - Real-life example: The bigger turn when you spin more than half a circle.

 

6. Complete Angle (Full Rotation) 

   - Measure: Exactly 360° 

   - It is a full circle. 

   - Real-life example: One complete turn of a wheel or hands of a clock coming back to the same position after 12 hours.

 

Observations / What I Learned

 

- My model helps visualize how angles increase from acute (small) to complete (full circle). 

- The protractor shows that all angles around a point add up to 360°. 

- Straight angle (180°) divides the circle into two equal halves. 

- Reflex angles are the "bigger" ones when we go past 180°. 

- This hands-on activity made it easy to remember the names and measures.

 

Conclusion

Through this project, I learned that angles are everywhere in our daily life and are an important part of geometry. By making this colourful model with a protractor and labelled diagrams, I clearly understood the six main types of angles: acute, right, obtuse, straight, reflex, and complete. This project helped me improve my creativity, drawing, and understanding of Maths concepts.

 

References

 

- NCERT Class 6 Mathematics Textbook 

- Websites: MathsIsFun.com, Byju's, Cuemath (for types of angles) 

- YouTube videos on types of angles for visual understanding 

 

Thank you!

Shivanya Gupta