CPM Homework Help : CC3MN Problem 7-84

Write an equation for the tile pattern represented at right.

tile	tile	tile	tile	tile	tile
tile	tile	tile	tile	tile

Figure 1

First quadrant graph with the point (3, comma 5).

Hint:

Create a table to help find a pattern.A table with 2 rows and 6 columns. Entered in the left column are Figure number and number of tiles.

Hint 2:

Fill in the information that you are given.This table is a continuation of the table above with 1 in the top 3rd column, 3 in the top 5th column, 11 in the bottom 3rd column, and 7 in the bottom 5th column. The numbers inputted in the 3rd column are from the figure and the numbers inputted in the 5th column are from the graph.

Hint 3:

What is the difference between the number of tiles in the two figures? This table is a continuation of the table above. Negative 4 is written below the fourth column.

See Table. Fill in figure numbers.

Hint 4:

Use this information to find the difference between the number of tiles in consecutive figures.This table is a continuation of the table above. Minus 2 is written below the dividing line between adjacent columns from column 2 to column 6.

See Table

Hint 5:

Now fill in the rest of the table.This table is a continuation of the table above with 0 in the top 2nd cell, 2 in the top 4th cell, 4 in the top 6th cell, 13 in the bottom 2nd cell, 9 in the bottom 4th cell, and 5 in the bottom 6th cell.

Hint 6:

Using the starting point and the growth rate, write an equation to represent the pattern. This table is a continuation of the table above with a Circle around the 13 in the bottom row and a circle around the minus 2 between columns 4 and 5.