There's Gold in Them Thar Ratios

One ratio to rule them all. Young mathematicians investigate the Fibonacci sequence and the Golden Ratio. To begin the first lesson, they use a spreadsheet to see how the Fibonacci sequence gives the Golden Ratio. The second lesson...

Lead your class on a search for precious bones. Using a presentation, the class investigates the golden ratio in art and nature. Groups of pupils measure specific bones and find the average ratio for the class. To further cement the...

In this golden rectangles activity, 10th graders solve and complete 6 different problems that include measuring the length and width of rectangles. First, they use the chart given to calculate the rectangles that are golden rectangles....

The language of rates and ratios forms a common thread through this wide-reaching main problem set and its accompanying support work. Learners mix paint, size copies, distribute candy, and shop for good deals throughout these problems....

What better way to introduce the idea of a sequence than with robots! An educational lesson plan explains the classic Fibonacci sequence before pupils build and program a robot to move. Additionally, the lesson plan challenges...

Young scholars investigate the "golden ratio" and the Fibonacci sequence in nature, architecture, and art. The lesson links the Fibonacci rabbit breeding sequence as a number pattern that reveals the "golden ratio."

Students study the Golden Ratio and its relationship to Renaissance artists. After exploring proportions and ratios used by Renaissance artists, students create a mix of ten variations of color paint, and record the ratios of primary...

Upper graders explore the Fibonacci sequence. They examine the characteristics of the Fibonacci sequence, list the properties of the sequence and determine how it connects to Pythagorean Triples. Related thinking questions are included.

This comprehensive unit on proportional thinking is an excellent resource for any middle-school math class, whether added wholesale to the curriculum or used to supplement existing material. Lead-in problems and activities culminate in a...

Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios found...