**Introduction:**

In this project, we will create a math square machine using cardboard and colored paper. This model will help visualize multiplication facts and patterns in a creative and interactive way. The machine will consist of rotating disks with numbers and will allow users to multiply two numbers to find the product.

**Materials Needed:**

- Cardboard
- Colored paper (different colors)
- Compass or circular objects for tracing
- Scissors
- Glue
- Pen or marker
- Push pin or thumbtack
- Split pins (brads)
- Ruler
- Pencil

**Step-by-Step Explanation:**

**Preparing the Base:**- Cut a square piece of cardboard as the base of the machine.
- Draw a smaller square in the center (about 1/3 the size of the base) to create a border.

**Creating Rotating Disks:**- Cut several circles from colored paper using the compass or circular objects. These will represent the rotating disks.
- Divide each circle into eight equal segments using a ruler.

**Numbering the Disks:**- Write the numbers 1 to 13 on the segments of each circle. Each circle represents a different row of the multiplication table.

**Assembling the Machine:**- Attach the colored circles to the base using split pins (brads). Insert the pins through the center of the circles and the center of the base.
- Ensure that the circles can rotate freely around the center of the base.

**Adding Color-Coded Rows:**- Cut colored paper strips and glue them along the edges of the base, corresponding to the numbers on the disks.
- For example, if the innermost circle represents the 2 times table, use a colored strip for the number 2.

**Operating the Machine:**- To use the math square machine, rotate the disks to align two numbers along the colored strips.
- The product of the two aligned numbers is the solution to the multiplication problem.

**Understanding the Concept:** The math square machine helps visualize the multiplication table by providing a dynamic and hands-on experience. When you align two numbers on the rotating disks, the product of those numbers can be read directly from the outermost disk. This model demonstrates the concept of multiplication and allows users to explore patterns and relationships within the multiplication table.

**Conclusion:** By building the math square machine, you’ve created an interactive model that facilitates learning and understanding of multiplication concepts. This project enhances engagement and provides a tactile way to explore multiplication patterns, making math more enjoyable and accessible.