Students examine Pascal's Triangle and attempt construct it on their own.  For this visual patterns lesson students explore patterns that exist in Pascal's triangle.

Young scholars calculate the Fibonacci sequence of numbers. Through the use of Fibonacci numbers in flowers, leaves, fruits, vegetables, pine cones, and other forms of nature; students explore how Fibonacci numbers occur in nature. ...

Young scholars become familiar with patterns, the Fibonacci Sequence, and the Golden Ratio. They see how many places these occur. They have practical applications for using the calculator and making charts to extend patterns.