Linear Tile Patterns

Front

What is a linear tile pattern?

Back

A linear tile pattern is a sequence of shapes or tiles arranged in a straight line, where each subsequent shape follows a specific rule or pattern.

Front

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

Back

To determine the number of tiles in a linear pattern, identify the rule governing the pattern and apply it to find the next term in the sequence.

Front

If a pattern starts with 1 square and adds 4 squares each time, how many squares will be in the 5th figure?

Back

21 squares (1 + 4*4 = 21).

Front

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

Back

The equation y = x + 3 indicates that for every increase in x (the figure number), y (the number of tiles) increases by 1, starting from 3.

Front

How many squares are added in a pattern if the difference between consecutive figures is constant?

Back

The number of squares added is equal to the constant difference between the figures.

Front

If Figure 1 has 5 squares and Figure 2 has 9 squares, how many squares are added?

Back

4 squares are added (9 - 5 = 4).

Front

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

Back

The formula is generally of the form y = mx + b, where m is the number of squares added each time, and b is the starting number of squares.

Front

If a tile pattern has 10 squares in the first figure and adds 3 squares each time, how many squares will be in the 7th figure?

Back

28 squares (10 + 3*6 = 28).

Front

What is the significance of the starting number in a linear tile pattern?

Back

The starting number determines the initial value of the pattern and affects all subsequent figures.

Front

How can you visualize a linear tile pattern?

Back

You can visualize a linear tile pattern by drawing the figures in sequence, showing how the number of tiles increases with each figure.