In this video post we learn about making of the laws of indices working model (laws of exponents) – maths tlm – diy – simple and easy
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Creating a working model to demonstrate the laws of indices (laws of exponents) with rotating pieces is a great way to visually teach and understand these mathematical concepts.
Here’s how to create this interactive model using cardboard, color paper, and chopsticks:
Materials Needed:
- Cardboard (for the base and rotating pieces)
- Color paper (for decoration and labeling)
- Chopsticks (for the rotating mechanism)
- Markers or pens
- Scissors or craft knife
- Glue or hot glue gun
- Brass fasteners (for attaching pieces)
- Ruler
- Protractor (for accurate angle measurement)
- Compass (for drawing circles)
Video post on making of the laws of indices working model (laws of exponents) – maths tlm – diy – simple and easy
1. Prepare the Base and Structure
- Base Preparation:
- Cut a large rectangular piece of cardboard to serve as the base.
- Cover the base with white or colored paper for a clean background.
- Draw the Structure:
- Divide the cardboard into 8 equal sections (each section will represent one law of indices).
2. Create the Rotating Pieces
- Cut the Rotating Pieces:
- Cut 8 rectangular pieces of cardboard for the exponents‘ formulas.
- Cut another 8 smaller rectangular pieces for the examples. These should be smaller and fit neatly under the corresponding formula piece.
- Cover the Pieces:
- Cover each piece with colored paper. Use different colors for the formula pieces and example pieces to distinguish them easily.
3. Attach the Rotating Mechanism
- Prepare the Chopsticks:
- Cut 8 chopsticks to the desired length. These will be used as the rotating axles for each piece.
- Attach the Formulas and Examples:
- Attach the formula pieces to the chopsticks using brass fasteners through the holes. Ensure they can rotate freely.
- Attach the example pieces to the base so they can be revealed when the formula pieces are rotated.
- Secure the Chopsticks:
- Glue the chopsticks to the center of the base, ensuring they are evenly spaced and can rotate to reveal the examples.
4. Label and Decorate
- Label the Formulas:
- Write each law of indices on the corresponding formula piece. For example:
- am⋅an=am+na^m \cdot a^n = a^{m+n}am⋅an=am+n
- aman=am−n\frac{a^m}{a^n} = a^{m-n}anam=am−n
- (am)n=amn(a^m)^n = a^{mn}(am)n=amn
- a0=1a^0 = 1a0=1 (where a≠0a \neq 0a=0)
- a−n=1ana^{-n} = \frac{1}{a^n}a−n=an1
- (ab)n=an⋅bn(ab)^n = a^n \cdot b^n(ab)n=an⋅bn
- (ab)n=anbn\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}(ba)n=bnan
- (am⋅bm)=(ab)m(a^m \cdot b^m) = (ab)^m(am⋅bm)=(ab)m
- Write each law of indices on the corresponding formula piece. For example:
- Write the Examples:
- Write a corresponding example for each law on the example pieces. For example:
- 23⋅22=23+2=252^3 \cdot 2^2 = 2^{3+2} = 2^523⋅22=23+2=25
- 3532=35−2=33\frac{3^5}{3^2} = 3^{5-2} = 3^33235=35−2=33
- (42)3=42⋅3=46(4^2)^3 = 4^{2 \cdot 3} = 4^6(42)3=42⋅3=46
- 50=15^0 = 150=1
- 2−3=123=182^{-3} = \frac{1}{2^3} = \frac{1}{8}2−3=231=81
- (2⋅3)2=22⋅32=4⋅9=36(2 \cdot 3)^2 = 2^2 \cdot 3^2 = 4 \cdot 9 = 36(2⋅3)2=22⋅32=4⋅9=36
- (23)2=2232=49\left(\frac{2}{3}\right)^2 = \frac{2^2}{3^2} = \frac{4}{9}(32)2=3222=94
- (22⋅32)=(62)(2^2 \cdot 3^2) = (6^2)(22⋅32)=(62)
- Write a corresponding example for each law on the example pieces. For example:
- Decorate the Model:
- Use color paper and markers to make the model visually appealing.
- Add any additional decorations or labels to enhance clarity and engagement.
Final Touches:
- Interactive Elements:
- Ensure that each piece rotates smoothly and reveals the example underneath.
- Test the model to make sure all pieces work as intended.
- Safety Precautions:
- Handle scissors and craft knives carefully to avoid injury.
- Supervise children during the construction and demonstration of the model.
- Ensure all parts are securely attached to prevent any accidents.
By following these steps, you can create an effective and interactive working model that demonstrates the laws of indices.