**Ballast –Â multiplication puzzles**

##### (MathPickle, 2012)

Once again the valiant 4th grade students of Bradley Meyers (Taft School District, Lockport, IL) have discovered one of my errors. One of these ballast puzzles has two sinkings rather than one. It’s my error, but instead of correcting it we have decided to make it a challenge for others to find. It does not occur in the first several puzzle sheets.

Gord!

**Standards for ****Mathematical Practice**

MathPickle puzzle and game designsÂ engage a wide spectrum of student abilities while targeting the following Standards for Mathematical Practice:

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##### 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.

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##### MP5 Know the tools.

Students master the tools at their fingertips - whether it's a pencil or an online app.Â

##### 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 ðŸ˜‰

##### 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?

Please use MathPickle in your classrooms. If you have improvements to make, please contact me. I'll give you credit and kudos ðŸ˜‰ If you are using MathPickle with adults, please mention the website. If you are from a private school, please ask parents or administrators to donate.