how to make algebraic expressions (formulas) working model – math’s projects – tlm | craftpiller

The purpose of creating a working model of algebraic expressions is to provide a tangible representation of abstract mathematical concepts.

Algebraic expressions are fundamental in algebra and mathematics, serving as the building blocks for solving equations, analyzing patterns, and describing relationships between variables.

Creating a working model to demonstrate algebraic expressions using cardboard and colored paper is a great hands-on learning project. A rotating wheel can be an effective way to show how different variables and coefficients interact in an algebraic expression.

Here’s a step-by-step guide to creating this model:

Materials Needed:

  • Cardboard
  • Colored paper
  • Scissors
  • Glue
  • Marker pens
  • Brass fasteners (or any other rotating wheel attachment)
  • Ruler
  • Compass (for drawing circles)
  • Pencil
  • Protractor (optional, for precise angles)

Steps by Step Video Instructions on Algebraic Expressions Formulas:

  1. Prepare the Base and Wheel:
    • Base: Cut a large rectangular piece of cardboard to act as the base of your model. This will hold the rotating wheel and other components.
    • Wheel: Use a compass to draw a large circle on a piece of cardboard. This will be your rotating wheel. Cut out the circle carefully.
  2. Divide the Wheel:
    • Divide the circle into equal sections (like slicing a pizza). The number of sections depends on how many different coefficients or terms you want to display.
    • Use a protractor for precise divisions (e.g., 6 sections would each be 60 degrees).
  3. Create Rotating Mechanism:
    • Poke a hole through the center of the wheel and the base where the wheel will be attached.
    • Insert a brass fastener through the hole in the wheel and attach it to the base. Ensure it’s tight enough to hold but loose enough to allow the wheel to rotate freely.
  4. Decorate the Sections:
    • Use colored paper to cover each section of the wheel. You can use different colors to make it visually appealing.
    • Label each section with different variables and coefficients. For example, you can write “2x,” “3x,” “4y,” “-x,” etc., in each section. You can also use algebraic symbols like x,y,zx, y, zx,y,z, or even constants like 1, 2, 3, etc.
  5. Create Expression Display:
    • On the base, below the rotating wheel, draw or attach a small window or frame where the resulting algebraic expression will be displayed.
    • This window will show the part of the wheel that corresponds to the selected term.
  6. Add Fixed Components:
    • Around the wheel, you can add fixed components representing other parts of the algebraic expressions, such as constant terms or additional variables.
    • These can also be made from colored paper and attached to the base.
  7. Finalize and Test:
    • Rotate the wheel to ensure it moves smoothly.
    • Test the model by rotating the wheel to different sections and checking how the algebraic expressions change.

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