Patterns Patterns Everywhere

Here is a bundle with 5 fun and hands-on activities which investigate the Fibonacci sequence and the Golden Ratio. "Fibonacci Numbers" helps students derive the sequence with arithmetic. "Fibonacci Spiral" shows the geometry behind the sequence. It has kids use squares to create a golden rectangle and then uses the golden rectangle to replicate the famous spiral! "Fibonacci in Food" has kids investigate fruits and vegetables to see where these famous numbers show up in nature. Kids will collect

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