## FACTORS IN BLUE AND GOLD— EXPLORE PATTERNS OF FACTORS

Grades: 3‒5

Students investigate factor patterns in an interactive array. The array displays the numbers from 1 to n in color-coded form, with the factors of n shaded blue while the remaining numbers are shaded gold. Students can easily change the value of n as well as the dimensions of their array. By observe the patterns of blue and gold-shaded numbers, students uncover factor patterns that would otherwise be difficult to spot.

OBJECTIVES
• Students look for numerical and visual patterns in an interactive array that displays the factors of any number they choose.
• Students make and test conjectures about factors by using an interactive array.
• Students examine the properties of prime numbers in the course of reasoning about the factor patterns in their array.

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.OA5, 6, 7, 9; 4.OA4, 5; 6.NS4

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.
WE'D LOVE TO HEAR FROM YOUFeedback