In celebration of me going to Maths Week Ireland next week (October 15-23, 2016) here is a puzzle with a Celtic edge. Students can count the different loops (not an easy task for a six year old!) and older students can explore both symmetry of loops and can hypothesize a relationship to greatest common factors or lowest common denominations.
Here is a pdf. The first three pages are printable exercise sheets. The next page is a template for students to create their own knots. The rest of the presentation is for you to use in class as you see fit.
Standards for Mathematical Practice
MathPickle puzzle and game designs engage a wide spectrum of student abilities while targeting the following Standards for Mathematical Practice:
MP1 Toughen up!
This is problem solving where our students develop grit and resiliency in the face of nasty, thorny problems. It is the most sought after skill for our students.
MP3 Work together!
This is collaborative problem solving in which students discuss their strategies to solve a problem and identify missteps in a failed solution. MathPickle recommends pairing up students for all its puzzles.
MP6 Be precise!
This is where our students learn to communicate using precise terminology. MathPickle encourages students not only to use the precise terms of others, but to invent and rigorously define their own terms.
MP7 Be observant!
One of the things that the human brain does very well is identify pattern. We sometimes do this too well and identify patterns that don't really exist.