Students will explore further relationships of the medians of a triangle and investigate how the centroid partitions each of the medians. To explore and conjecture an answer to this question, students will construct circles passing through various numbers of given points. This activity was adapted from an activity developed by Sean Jones, a fourth year pre-service teacher at the University of Virginia in Spring 1998. Exploring and Creating Tessellations Students explore and construct several different types of tessellations. This activity is an introduction to geometric constructions of parabolas.
Students investigate the properties and characteristics of parabolas.
Exploring the locus definition of the conic sections. Exploring the Witch of Agnesi Students construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. Fermat studied this function in the seventeenth century. Students are introduced to the animate features of The Geometer's Sketchpad. This activity is an introduction to the concept of convergent infinite series using a recursive geometric construction.