# Constructing a Centroid: Hands On Math Activity

Subject
Resource Type
Common Core Standards
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PDF (Acrobat) Document File

960 KB|4 pages
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Product Description

This product is designed to promote a meaningful math "memory" for students. The end result for students will be a deeper understanding of a triangle's centroid, which is a unique balancing point of an object. A centroid is the intersection of three medians in a triangle.

Students will use simple paper folding techniques to construct midpoints of the three sides of a triangle. They will use a straight edge to connect each vertex with the midpoint of the side opposite each vertex. These segments are called medians. If constructed with precision, the three medians will meet at a single point of concurrency, known as the centroid.

Students will then measure the medians, and the two parts of a median which result from the centroid. They will discover important ratios that are related to the medians. Because students have constructed the centroid with their own hands, and reasoned about the ratios, they are more likely to remember and apply these ratios correctly.

I designed the small triangles (six to a page) so that the median lengths can easily be measured in centimeters, to help students derive the relationships more quickly.

My students enjoy making sense of math concepts by using their hands to create "learning memories". We keep our learning memories in a little pouch which students can refer back to throughout the course.

Total Pages
4 pages
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Teaching Duration
30 minutes
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\$1.50