Patterns Patterns Everywhere

DESCRIPTION Here are two great activities to investigate the Golden Ratio! Do them together, or each can be a stand-alone lesson. The first activity is a simple way to show the connection between the Golden Ratio and the Fibonacci sequence. Students will use their calculators to complete 12 division problems which divide consecutive Fibonacci numbers. By the end they will see that the numbers converge to 1.618 (the Golden Ratio)! I have made a cut-and-paste version of this also, so that younger

DESCRIPTION 1,1,2,3,5,8,13,21,…Here is a great investigative activity that will show kids Fibonacci numbers in nature! You can use the real-life fruit and vegetables or simply do an internet search! If you use the real-life food, you will need an apple, a banana, an orange, a lemon, a cucumber, a head of cabbage, and a pineapple. Follow the directions to cut the fruit or vegetables to see their cross-sections, or in the case of the pineapple, you will be counting the spirals. Not all the produce