Algebra: Playing with Number Puzzles

In this worksheet, we will learn about using patterns to predict how shapes grow.

For Example:

Question:     How many squares are used in Pattern #100?

Answer:       If you double the number of white squares along one arm and add one grey square you will get the total number of squares.  Pattern #100 has 100 squares along one arm.

We can use the formula 2 x N +1  where N is the number of squares along one arm or the Pattern number.

This gives us   2 x 100 +1 = 201 squares