Tile Patterns

Front

What is a tile pattern?

Back

A tile pattern is a repeated arrangement of shapes or designs that cover a surface without any gaps or overlaps.

Front

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

Back

To determine the number of tiles in a figure, observe the pattern's growth and apply the established rule or formula.

Front

What does 'growth' refer to in tile patterns?

Back

Growth refers to the increase in the number of tiles as you move from one figure to the next in a sequence.

Front

What is the formula for a linear pattern?

Back

The formula for a linear pattern is typically expressed as y = mx + b, where m is the growth rate and b is the starting value.

Front

If Figure 0 contains 3 tiles, what does this indicate about the pattern?

Back

This indicates that the pattern starts with 3 tiles and may follow a specific growth rule for subsequent figures.

Front

What is the significance of Figure 0 in a tile pattern?

Back

Figure 0 often represents the starting point or initial condition of the pattern before any growth occurs.

Front

How can you find the growth rate in a tile pattern?

Back

The growth rate can be found by calculating the difference in the number of tiles between consecutive figures.

Front

What does the equation y = 3x + 1 represent in a tile pattern?

Back

This equation represents a linear relationship where y is the number of tiles, x is the figure number, and the pattern grows by 3 tiles for each increase in x.

Front

If the growth is 2, how many tiles will Figure 1 have if Figure 0 has 1 tile?

Back

Figure 1 will have 3 tiles (1 tile + 2 growth).

Front

What is the relationship between the figure number and the number of tiles?

Back

The relationship is often linear, where the number of tiles can be predicted based on the figure number using a specific formula.