Tessellation worksheet for creating repeating patterns with geometric shapes.

I will solve this tessellation problem by selecting one of the given shapes and creating a repeating pattern that covers the grid without gaps or overlaps. I'll also add a color pattern as instructed.

Step 1: Choose a Shape

Looking at the five shapes provided, I will choose the first one on the left (a shape made of 4 squares in an "L" formation with an extra square attached to the bottom of the long side). This is a common polyomino shape that tessellates well.

Step 2: Create the Tessellation Pattern

To create a tessellation with this shape, I need to arrange multiple copies of it so they fit together perfectly. The key is to use rotation and translation.

The chosen shape can be tessellated by:
- Placing one shape in its original orientation.
- Rotating a copy 180 degrees and placing it adjacent to the first shape to fill the gap.
- Repeating this pair horizontally and vertically to cover the entire grid.

Step 3: Add a Color Pattern

For the color pattern, I will use a simple alternating scheme. I'll color the original orientation shapes one color (let's say blue) and the 180-degree rotated shapes another color (let's say red). This creates a visually appealing checkerboard-like effect while maintaining the tessellation.

Step 4: Implement the Solution

Since I cannot physically draw on the image, I will describe the pattern in detail:

1. In the top-left corner of the grid, place the first shape covering cells (1,1), (1,2), (2,1), (3,1), and (3,2) — assuming the grid is numbered from top-left.
2. Place a 180-degree rotated version of the shape immediately to the right, covering cells (1,3), (1,4), (2,4), (3,3), and (3,4).
3. Continue this pattern across the row, alternating between the original and rotated shapes.
4. For the next row, start with the rotated shape, then the original, and so on, creating a staggered pattern.
5. Repeat this process for all rows until the entire grid is filled.

This pattern will completely cover the grid with no gaps or overlaps, satisfying the tessellation requirement, and the alternating colors will provide the required color pattern.

The solution demonstrates how geometric shapes can be arranged to create infinite patterns, which is the essence of tessellation.