Expanding Patterns

The diagram shows the first three patterns in a sequence in which each pattern has a hole in the middle.

Draw the 4^th and 5^th pattern in the sequence.

How many small squares are needed to build the tenth pattern in the sequence?

What abouth the hundredth pattern?

If you find the Expanding Pattern activity tricky answer the same questions for this pattern made from dried beans. It is easier. 

Create your own sequences of patterns with dried beans and on squared paper, and work out the rule for the number of beans in each pattern or the number of squares. Then exchange your patterns and solve each other’s problems.

Click here to download the worksheet for EXPANDING PATTERNS.

Click here to download the TEACHERS’ NOTES for EXPANDING PATTERNS.

Click here to download the poster for EXPANDING PATTERNS.