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 Here is a great (and easy!) activity to give kids a visual understanding of the geometry behind the Fibonacci sequence! Kids will understand that the Golden Rectangle (the rectangle we are drawing the spiral within) is actually composed of squares. Kids will see that the squares are not just randomly numbered, but that the (1 unit square) + (1 unit square) = (2 unit square)’s side length. The pattern continues as the (2 unit square) + (1 unit square) = (3 unit square)’s side length,

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

DESCRIPTION Here is a great (and easy!) activity to do for Pi Day (3/14), Tau Day (6/28), when you are learning about exponential functions, or anytime you want to add some color to math (like maybe before a school break)! You are given FOUR different pages, one for Pi, one for Tau, and one for e, along with a page of the digits 0-9 (written twice). Simply print out the digits on colorful paper, cut the digits out and paste them on, and you are done! This would be a fun way to help memorize some