Los Angeles Math Circle

1/12 -- Beginners Circle: How to divide a segment into parts of equal length. Vectors. (Oleg Gleizer)

As usual, we will solve a few warm-up problems at the beginning of the class. Then we will learn how to divide a straight line segment into any (positive integral) number of parts, using a compass and ruler as tools. We will further employ a Claim-Reason chart to prove that our method works. In the next part of the class, we will introduce vectors as pointed segments, or arrows, and begin studying their properties.