square root mathematics working model tlm for B.Ed Students | craftpiller

Creating a tangible learning model (TLM) for understanding square roots using color paper and cardboard can be a great visual aid for learning this mathematical concept.

Here’s a step-by-step guide to making the TLM:

Materials Needed:

  1. Cardboard sheet
  2. Color papers (representing squares and square roots)
  3. Scissors
  4. Glue
  5. Marker
  6. Ruler


Step 1: Prepare the Base

  • Take a piece of cardboard and cut it into a rectangular base. This will serve as the foundation for your TLM.

Step 2: Define Squares and Square Roots

  • Use different color papers to represent squares and square roots:
    • Red paper: Representing squares
    • Yellow paper: Representing square roots

Step 3: Create Square Tiles

  • Cut the red colored paper into circle tiles, making sure each tile represents a perfect square. Write down examples of perfect squares on the tiles.
    • For example:
      • Red Tiles (Perfect Squares):
        • Tile 1: “1” (1^2)
        • Tile 2: “4” (2^2)
        • Tile 3: “9” (3^2)
        • Tile 4: “16” (4^2)

Step 4: Create Square Root Tiles

  • Cut the blue colored paper into square root tiles. Write down examples of square roots on these tiles.
    • For example:
      • Blue Tiles (Square Roots):
        • Tile 1: “√1” = “1”
        • Tile 2: “√4” = “2”
        • Tile 3: “√9” = “3”
        • Tile 4: “√16” = “4”

Step 5: Arrange Tiles

  • Place the square tiles (red) on the cardboard base, forming a grid-like pattern. Leave space between the tiles for the square root tiles (blue) to be placed.

Step 6: Label and Explain

  • Use a marker to label each square tile with the corresponding perfect square value (e.g., “1”, “4”, “9”, etc.).

Square Root Working Model Explanation:

  1. Understanding Squares:
    • Show how each square tile represents a perfect square. For example, “4” on a tile represents 2^2, and “9” represents 3^2.
  2. Introducing Square Roots:
    • Introduce the concept of square roots using the blue tiles. Explain that the square root of a number “x” (√x) is the value that, when multiplied by itself, gives “x”.
  3. Matching Squares with Square Roots:
    • Have students match the square tiles with their corresponding square root tiles. For example, match the tile with “4” to the tile with “√4” (which is “2”).
  4. Examples and Practice:
    • Provide additional examples and let students practice matching other perfect squares with their respective square roots.


  • Match “9” (perfect square) with “√9” (square root), which is “3”.
  • Match “16” (perfect square) with “√16” (square root), which is “4”.

By creating this TLM, students can visually and interactively learn about squares, square roots, and the relationship between them. It provides a hands-on experience that reinforces the concept and helps in understanding the mathematical operations involved.

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