Question

Invent a tile pattern that grows by 4 each time. Draw Figures 0, 1, 2, and 3. Use color or shading to show the growth.

Answer 1

To create a tile pattern that grows by 4 each time, start with Figure 0 and add 4 squares to each subsequent figure, increasing the side length by 4. Shade the added squares to show the growth.

Step-by-step explanation:

To create a tile pattern that grows by 4 each time, we can start with Figure 0 and add 4 tiles to each subsequent figure. Let's begin:

1. Figure 0: Draw a square with a side length of 4.
2. Figure 1: Add 4 more squares to the previous figure, increasing the side length of each square by 4. Color or shade the added squares to show the growth.
3. Figure 2: Repeat the process by adding 4 squares to Figure 1, with the side length of each square increased by 4. Shade the newly added squares.
4. Figure 3: Continue adding 4 squares to each previous figure, increasing the side length of each square by 4.

By following these steps, you can create a tile pattern that grows by 4 each time, with Figures 0, 1, 2, and 3 showing the progression.