Dance, Factors Dance: Animated Factorization Diagrams #mathchat

What it is:  Dance, Factors Dance is a fantastic site to visualize factorization diagrams.  The first “tango” is inspired by the digital clock, with a separate diagram for each of the hours, minutes and seconds.  The Factor Conga is a “promenade of primes, composites, and their constituents, arranged with an aesthetically-tuned variation of Yorgey’s rules, one per second.”  I love the way these math factorization dances help students visualize numbers and Prime numbers.  Brilliant!

How to integrate Dance, Factors Dance into the classroom: Dance, Factor Dance is a stupendous way for students to visualize and think about numbers.  I Love the way that the prime numbers are depicted…so easy to see why it is a prime number!  Ask your students to explore this site and identify the patterns they notice in the dance of numbers.  What happens when a number is prime?  When a number is odd?  Even?

Dance, Factors Dance is a fun way to learn more about numbers, it is also a wonderful inspiration for finding the art in math.  How can students use the site as inspiration to create their own math dance?  Could they use stop motion animation and manipulatives to do something similar?  What patterns in math do they notice?  How can they use color and design to help them better understand math?

This site is a great one to explore as a class, as a center on classroom computers, or individually on student devices.  Students can pause the dance, rewind, and fast forward as they explore.

Tips: Be sure to watch (or fast forward) to the three digit numbers…this is where things get really impressive!  As a side note, I learned something today from a fellow teacher.  When looking at numbers in grid form, you know if a number is prime if it can only make one rectangle.  This understanding would have been helpful in math class! Better late than never 🙂