This puzzle is a great way to inspire grade 4-7 students in both
1) Prime factorization of Integers
2) Finding the Greatest Common Factor
45 minutes is the minimum amount of time that a class might spend on Mimizu. If desired, there is enough material in this download for several weeks of hard fun.
Standards for Mathematical Practice:
All MathPickle puzzle designs, including mimizu, are guaranteed to 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.
Common Core State Standards:
The following grade 4 to 6 Common Core State Standards are targeted by mimizu:
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12.
Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.