What is the rule? <<Discuss the rule shown (# tiles = 2 + 5 x position number)>> How does a single colour for the tiles effect the process of determining the rule? Build your own singe colour composite patterns and have a partner determine it.

Your Turn to Graph Build the patterns in the chart below using two colours (Positions 0, 1, 2, 3). Predict what their graphs look like. On each of two grids, plot the respective graphs. Grid One Grid Two # tiles = position # x 3 + 2 # tiles = position # x 1 + 2 # tiles = position # x 3 + 7 # tiles = position # x 5 + 2 # tiles = position # x 3 + 4 # tiles = position # x 4 + 2 At your tables, discuss the similarities and differences between the graphs found on each of the grids.

Graphs <<Ensure participants notice that the constant of the pattern is the same as the starting point of the graph on the vertical axis. The multiplier is the rate of increase of the line. When the multipliers are the same, the lines are parallel. The greater the multiplier, the steeper the line.>>