# 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

Procedure:

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.

Examples:

• 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.