Creating a working model for algebraic identities using cardboard is a great way to visually represent and understand mathematical concepts.

One common algebraic identity is the “Square of a Binomial.” Let’s create a model to represent the identity (�+�)2(*a*+*b*)2.

### Materials Needed:

- Cardboard
- Colored paper or markers
- Ruler
- Scissors
- Pencil
- Glue

### Model Construction:

#### 1. **Create the Base:**

- Cut a square piece of cardboard to serve as the base of your model.

#### 2. **Draw the Square:**

- Use a ruler and a pencil to draw a large square on the cardboard. This square represents (�+�)2(
*a*+*b*)2.

#### 3. **Divide the Square:**

- Divide the large square into four equal smaller squares. Each side of the smaller squares should be labeled as �
*a*, �*b*, �*a*, and �*b*.

#### 4. **Cut Flaps:**

- From one side of each smaller square (except the bottom one), cut flaps along the sides labeled �
*a*and �*b*, leaving the bottom square intact.

#### 5. **Fold and Label:**

- Fold the flaps along the cut lines to create triangular flaps. Label each flap with the corresponding term (�
*a*, �*b*, or ��*ab*).

#### 6. **Coloring (Optional):**

- Use colored paper or markers to distinguish between �
*a*and �*b*squares. You can color the flaps differently to represent the terms.

#### 7. **Assembly:**

- Fold and glue the flaps into place, forming the original large square with the terms �2
*a*2, �2*b*2, and 2��2*ab*.

By creating a physical representation of algebraic identities, students can gain a deeper understanding of mathematical concepts. This hands-on approach helps make abstract ideas more concrete and accessible.