## DANCING FACTORS—FIND FACTORS OF A NUMBER

Students pick a number from 1-36 to see all its factors “dance” around it in a circle. With each new number they select, students watch the “dance partners” change, giving them a dynamic visual context for posing and exploring mathematical questions about factors. Such questions include: “What is true about all numbers that have just two dance partners?” and “Is there a number that dances with everyone?”

OBJECTIVES
• Students will form and test conjectures about relationships between numbers and their factors.
• Students will explore multiplicative relationships between a chosen number and its factors.
• Students will correctly predict which numbers are factors of any chosen number from 1 to 36.
COMMON CORE CONNECTIONS
Mathematical Practices

(1) Make sense of problems and persevere in solving them; (2) Reason abstractly and quantitatively; (3) Construct viable arguments and critique the reasoning of others; (5) Use appropriate tools strategically; (7) Look for and make use of structure.

Content Standards

3.OA7, 9; 4.OA4, 5

This activity is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License: http://creativecommons.org/licenses/by-nc-sa/3.0/. If you adapt and/or share this activity, you must attribute it to "KCP Technologies, a McGraw-Hill Education Company." You may distribute it only non-commercially under the same or similar license.

This material is based upon work supported by the National Science Foundation under KCP Technologies Award ID 0918733, with grant period September 1, 2009 through August 31, 2013. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.
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