# how to make maths working model on exponent rules – laws – maths tlm – craftpiller

Creating a rotating model to demonstrate exponent rules in a circular pattern can be a great way to make the learning process interactive and engaging.

Here’s a step-by-step guide to help you create this working model using cardboard and colored paper:

### Materials Needed:

• Cardboard
• Colored paper
• Scissors
• Glue
• Ruler
• Marker
• Brass fastener (paper fastener) or a small pivot mechanism
• Protractor (optional)
• String (optional for opening flaps)
• Tape

### Steps by Step Video Instructions:

#### 1. Prepare the Base and Rotating Circle:

1. Cut the Cardboard Base: Cut a large circle from the cardboard (about 40 cm in diameter) to serve as the base.
2. Cut the Rotating Circle: Cut a smaller circle from the cardboard (about 30 cm in diameter) to serve as the rotating part.
3. Cover with Colored Paper: Cover both circles with colored paper to make them visually appealing.

#### 2. Create the Sections:

1. Divide the Base: Divide the larger circle into 8 equal sections using a ruler and marker. Each section will represent one exponent rule.
2. Draw the Flaps: On the rotating circle, draw 8 segments similar to the base. These will be cut into flaps that can be opened to reveal the rules.

#### 3. Cut the Flaps:

1. Cut the Flaps: Carefully cut along the lines of each segment on the rotating circle, leaving one side attached so it can act as a hinge.
2. Attach the Rotating Circle: Place the rotating circle on top of the base circle. Secure the center with a brass fastener or a small pivot mechanism, allowing the top circle to rotate.

#### 4. Write the Rules, Definitions, and Examples:

1. Exponent Rules: Write each exponent rule on the base circle within its designated section:
• Product of Powers Rule: am×an=am+na^m \times a^n = a^{m+n}am×an=am+n
• Quotient of Powers Rule: aman=am−n\frac{a^m}{a^n} = a^{m-n}anam​=am−n
• Power of a Power Rule: (am)n=am×n(a^m)^n = a^{m \times n}(am)n=am×n
• Power of a Product Rule: (ab)n=an×bn(ab)^n = a^n \times b^n(ab)n=an×bn
• Power of a Quotient Rule: (ab)n=anbn\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}(ba​)n=bnan​
• Zero Exponent Rule: a0=1a^0 = 1a0=1 (where a≠0a \neq 0a=0)
• Negative Exponent Rule: a−n=1ana^{-n} = \frac{1}{a^n}a−n=an1​
• Fractional Exponent Rule: amn=amna^{\frac{m}{n}} = \sqrt[n]{a^m}anm​=nam​
2. Definitions and Examples: Write the definition and an example for each rule on a small piece of colored paper. Glue these inside each corresponding flap on the rotating circle. For example:
• Product of Powers Rule:
• Definition: When multiplying two powers with the same base, add the exponents.
• Example: 23×22=23+2=252^3 \times 2^2 = 2^{3+2} = 2^523×22=23+2=25

#### 5. Assembly:

1. Attach String (Optional): If you want to make the flaps easier to open, attach a small piece of string to the edge of each flap with tape.
2. Secure the Flaps: Ensure each flap can open and close easily. The rotating circle should be able to turn to reveal each section one at a time.
3. This interactive model will help in visually demonstrating the exponent rules, making it a fun and effective educational tool.