# how to make basic functions types graphing working model – maths tlm – diy – craftpiller

Creating a rotating model that visually represents different types of basic mathematical functions can be a great hands-on teaching and learning material (TLM).

Here’s a step-by-step guide to help you build a graphing model inspired by a merry-go-round concept:

### Materials Needed:

1. Cardboard – For creating the base, graph, and function representations.
2. Slow-running motor – To rotate the model.
3. Battery pack and wires – To power the motor.
4. LED lights (optional) – To highlight specific parts of the model.
5. Hot glue gun or strong adhesive – For assembly.
6. Markers and paints – For labeling and decorating.
7. Scissors or craft knife – For cutting cardboard.
8. Ruler and compass – For accurate measurements.
9. Stand – To hold the motor and the rotating platform.
10. Plastic or foam balls – To represent points on the graph.
11. Small dowels or sticks – To represent the function curves.

### Step-by-Step Instructions:

#### Step 1: Create the Base Structure

1. Cut the Base:
• Cut a large circular piece of cardboard to serve as the rotating platform (merry-go-round base).
• Divide the circle into equal sections, with each section representing a different basic function (linear, quadratic, cubic, sine, etc.).
2. Mount the Motor:
• Securely attach the motor to the center of the base. Ensure it can rotate the platform smoothly.

#### Step 2: Prepare the Graphs

1. Draw Axes:
• Draw X and Y axes on each section of the circular platform using a ruler and markers. Ensure they intersect at the center of the platform.
2. Label the Axes:
• Label the X and Y axes appropriately for each function type. For example, X could range from -10 to 10 and Y could range from -10 to 10.

#### Step 3: Represent the Functions

1. Create Function Curves:
• For each section, draw the graph of a basic function:
• Linear: y=mx+by = mx + by=mx+b
• Quadratic: y=ax2+bx+cy = ax^2 + bx + cy=ax2+bx+c
• Cubic: y=ax3+bx2+cx+dy = ax^3 + bx^2 + cx + dy=ax3+bx2+cx+d
• Sine: y=asin⁡(bx+c)+dy = a \sin(bx + c) + dy=asin(bx+c)+d
• Use markers to draw these graphs on the respective sections.
• Attach small dowels or sticks along the function curves and place small plastic or foam balls at intervals to represent points on the graph.

#### Step 4: Assemble the Rotating Model

1. Attach the Platform:
• Attach the circular platform to the motor shaft securely using a hot glue gun or strong adhesive.
2. Install LED Lights (optional):
• If using LED lights, attach them around the edge of the platform or along the function curves to highlight specific parts when the model is rotating.
3. Create the Stand:
• Build or use a stand to hold the motor and the rotating platform. Ensure the stand is stable and the platform can rotate freely.

#### Step 5: Wiring the Motor

1. Connect the Motor:
• Connect the wires from the motor to the battery pack, incorporating a switch to easily turn the motor on and off.
• Secure all connections and insulate any exposed wires.

#### Step 6: Testing and Final Adjustments

1. Test the Rotation:
• Turn on the motor and observe the rotation of the platform. Ensure the movement is smooth and stable.
• Make any necessary adjustments to the alignment of the graphs or the stability of the stand.

### Summary:

This rotating model will demonstrate different basic mathematical functions in a visually engaging way. As the platform rotates, students can observe and compare the various function graphs, enhancing their understanding of mathematical concepts. The merry-go-round concept adds an interactive and dynamic element to the learning experience.