## 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