Creating a working model to demonstrate different types of angles for a math exhibition using cardboard and paper can be a fun and educational project.

Here’s a simple and easy DIY (Do It Yourself) project that showcases various types of angles:

**Materials Needed:**

- Cardboard
- Colored paper
- Ruler
- Protractor
- Compass
- Pencil
- Scissors
- Glue or tape
- Markers
- Wooden dowels or straws

**Steps to Create the Types of Angles Working Model:**

**Step 1: Prepare the Base:**

- Cut a large piece of cardboard to serve as the base for your working model.

**Step 2: Create Angles Templates:**

- Draw and cut out templates for different types of angles using colored paper. Include templates for:
- Acute angles
- Obtuse angles
- Right angles
- Straight angles
- Reflex angles
- Full angles

**Step 3: Label the Templates:**

- Label each template with the name of the corresponding angle type.

**Step 4: Attach Templates to Dowels:**

- Glue or tape the angles templates onto wooden dowels or straws.

**Step 5: Attach Dowels to the Base:**

- Attach the dowels or straws with the angle templates to the cardboard base. Place them in a way that allows for easy rotation.

**Step 6: Protractor Display:**

- Attach a protractor to the base of the cardboard, ensuring it is securely fixed and easy to read.

**Step 7: Display and Explain:**

- Set up your working model at the exhibition table.
- Demonstrate each type of angle by rotating the corresponding dowel or straw. Use the protractor to measure and confirm the angle.

**Step 8: Optional – Angle Facts:**

- Create small cards or labels to display interesting facts or properties about each type of angle.

**Explanation:**

- During your exhibition, explain the characteristics of each angle type.
- Discuss real-world examples and applications of different types of angles.

This working model provides a hands-on and visual representation of various types of angles, making it an engaging and interactive display for a math exhibition. It allows students and visitors to physically interact with the model, enhancing their understanding of angle concepts in mathematics.