# laws of exponents working model in spinning wheel format maths tlm – diy | craftpiller

Creating a working model of the laws of exponents using a spinning wheel can be an interactive and engaging way to understand and demonstrate these mathematical principles.

Here’s a step-by-step guide along with definitions and examples:

## Materials Needed:

1. Cardboard or wooden base (for the spinning wheel)
2. Color papers
3. Labels or markers

## Step by Step Procedure of making Maths TLM

Step 1: Create the Spinning Wheel Base

• Construct a circular wheel using cardboard or wood. Attach a wooden dowel or PVC pipe through the center to serve as the axis of the wheel. This will allow the wheel to spin freely.

Step 2: Attach Buckets

• Attach small circles around the edge of the wheel

Step 3: Label the Buckets

• Label each bucket with a specific exponent and base.

## Working Model Explanation:

1. Definition of Exponents:
• Explain that exponents represent how many times a number (base) is multiplied by itself. For example, in “a^n,” “a” is the base and “n” is the exponent.
2. Laws of Exponents:
• Product Rule: a^m * a^n = a^(m+n)
• Show this law by placing a certain quantity of small objects (representing “a”) into two buckets labeled “a^m” and “a^n.” Spin the wheel, and combine the contents into a single bucket labeled “a^(m+n).”
• Quotient Rule: a^m / a^n = a^(m-n)
• Place a quantity of small objects in a bucket labeled “a^m,” and another quantity in a bucket labeled “a^n.” Spin the wheel, and transfer the contents to a bucket labeled “a^(m-n).”
• Power Rule: (a^m)^n = a^(m*n)
• Place a quantity of small objects in a bucket labeled “(a^m).” Spin the wheel, and transfer the contents to a bucket labeled “a^(m*n).”

Examples:

1. Product Rule (a^2 * a^3 = a^5):
• Place a certain quantity of small objects in a bucket labeled “a^2” and another in a bucket labeled “a^3.” Spin the wheel, and transfer the combined contents to a bucket labeled “a^5.”
2. Quotient Rule (a^4 / a^2 = a^2):
• Place a quantity of small objects in a bucket labeled “a^4” and another in a bucket labeled “a^2.” Spin the wheel, and transfer the contents to a bucket labeled “a^2.”
3. Power Rule ((a^3)^2 = a^6):
• Place a quantity of small objects in a bucket labeled “(a^3).” Spin the wheel, and transfer the contents to a bucket labeled “a^6.”

By demonstrating these examples using the spinning wheel model, students can actively participate and visually see the laws of exponents in action. This hands-on approach makes the concept more tangible and memorable.