Tile Patterns

Front

What is a tile pattern?

Back

A tile pattern is a repeated arrangement of shapes or tiles that follow a specific rule or sequence.

Front

How do you determine the number of tiles in a figure of a tile pattern?

Back

To determine the number of tiles in a figure, you can use a formula or rule that describes the growth of the pattern.

Front

What does the equation y = 3x + 1 represent in the context of tile patterns?

Back

The equation y = 3x + 1 represents a linear relationship where 'y' is the number of tiles and 'x' is the figure number, indicating that for each figure, the number of tiles increases by 3.

Front

What is the growth rate in a tile pattern?

Back

The growth rate in a tile pattern is the amount by which the number of tiles increases as you move from one figure to the next.

Front

If Figure 0 contains 2 tiles, how many tiles would Figure 1 contain if the growth is 2?

Back

Figure 1 would contain 4 tiles (2 + 2 = 4).

Front

What is the significance of the initial value in a tile pattern equation?

Back

The initial value in a tile pattern equation represents the number of tiles in the first figure (Figure 0).

Front

How can you find the number of tiles in any figure using a formula?

Back

You can substitute the figure number into the formula to calculate the number of tiles for that specific figure.

Front

What is the difference between growth and initial value in a tile pattern?

Back

Growth refers to the increase in the number of tiles from one figure to the next, while the initial value is the number of tiles in the first figure.

Front

How do you identify the growth in a tile pattern?

Back

You can identify the growth by observing the difference in the number of tiles between consecutive figures.

Front

What is the formula for the nth term in a linear tile pattern?

Back

The formula for the nth term in a linear tile pattern is typically in the form y = mx + b, where m is the growth rate and b is the initial value.