Visual Patterns
1. The first three figures in a pattern are shown below:
a. Draw the next building in the sequence.
b. How many white squares do you think will be in the figure with 100 black squares? Explain how you decided this.
c. In the pattern, which figure, if any, has 93 white squares? Explain how you decided this.
d. In the pattern, which figure, if any, has 442 white squares? Explain how you decided this.
2. a. Sketch the next arrangement in the following sequence of tiles:
b. Describe (in words) what the 25th arrangement looks like. How many tiles does it contain?
d. A certain arrangement contains 500 tiles. Which arrangement is it?
e. Two arrangements together contain 160 tiles. One of the arrangements contains 30 more tiles than the other. Which two arrangements are these?