# math’s working model for algebraic identities

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:

1. Cardboard
2. Colored paper or markers
3. Ruler
4. Scissors
5. Pencil
6. 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 �2a2, �2b2, and 2��2ab.

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.