Tile Patterns

Front

What is a tile pattern?

Back

A tile pattern is a repeated arrangement of shapes or colors that creates a design, often used in flooring, walls, and art.

Front

What does the term 'growth' refer to in tile patterns?

Back

Growth refers to the increase in the number of tiles as the figure number increases in a pattern.

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 slope (growth) and b is the y-intercept.

Front

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

Back

To determine the number of tiles in a specific figure, substitute the figure number into the pattern's formula.

Front

What is the significance of the y-intercept in a tile pattern formula?

Back

The y-intercept represents the number of tiles in Figure 0, indicating the starting point of the pattern.

Front

If the growth of a tile pattern is 2, what does this mean?

Back

This means that for each increase in the figure number, the number of tiles increases by 2.

Front

How can you find the growth of a tile pattern?

Back

To find the growth, observe the difference in the number of tiles between consecutive figures.

Front

What is the number of tiles in Figure 0 if the formula is y = 3x + 1?

Back

The number of tiles in Figure 0 is 1, as substituting x = 0 gives y = 1.

Front

How do you calculate the number of tiles in Figure 5 using the formula y = 3x + 1?

Back

Substituting x = 5 into the formula gives y = 3(5) + 1 = 16.

Front

What is the rule of the pattern if Figure 0 has 3 tiles and Figure 1 has 5 tiles?

Back

The rule of the pattern can be expressed as y = 2x + 3.