Line Dance Dice

(MathPickle 2021)

The Polypad website has changed so you’ll need to make your own line of dice.

Try using 7 dice with 7 rerolls.

Players reroll or pass simultaneously. A player who has passed can choose not to pass on a later turn.

Each person scores the sum of all their smallest valued dice. (grade 2)

Each person scores the product of their smallest valued dice multiplied by the number of times it appears. (grade 3+)

 

Extension of Line-Dance-Dice.

One player makes a number of lines equal to the number of players. The lines should have roughly the same number of dice and between 7 and 10. All dice are rolled.

The player to the left says “three rerolls” and either passes clockwise or takes a line.

If passed clockwise, the next player adds one to the reroll number and says it out loud.

Whenever a line is chosen all players in clockwise order take a line and incrementally increase the reroll number as they are doing so.

Players take their rerolls simultaneously. A player cannot take more rerolls than their reroll number. If they choose to pass, that counts as a reroll. Players who pass may again choose to reroll later so long as they do not exceed their number of rerolls.

 

 

Teaching is an experimental science. Don’t expect to be a great teacher your first year standing in front of a class. 

Gord!

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!

Students develop grit and resiliency in the face of nasty, thorny problems. It is the most sought after skill for our students.

MP2 Think abstractly!

Students take problems and reformat them mathematically. This is helpful because mathematics lets them use powerful operations like addition.

MP3 Work together!

Students discuss their strategies to collaboratively solve a problem and identify missteps in a failed solution. MathPickle recommends pairing up students for all its puzzles.

MP4 Model reality!

Students create a model that mimics the real world. Discoveries made by manipulating the model often hint at something in the real world.

 
MP5 Use the right tools!

Students should use the right tools: 0-99 wall charts, graph paper, mathigon.org. etc.

MP6 Be precise!

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!

Students learn to identify patterns. This is one of the things that the human brain does very well. We sometimes even identify patterns that don't really exist 😉

MP8 Be lazy!?!

Students learn to seek for shortcuts. Why would you want to add the numbers one through a hundred if you can find an easier way to do it?

(http://www.corestandards.org/Math/Practice/)

Please use MathPickle in your classrooms. If you have improvements to make, please contact me. I'll give you credit and kudos 😉 For a free poster of MathPickle's ideas on elementary math education go here.

Gordon Hamilton

(MMath, PhD)