Description: Why do rivers meander instead of traveling in a straight line? In going from point A to point B, why should a river take the circuitous route it does instead of a direct path? Furthermore, what information can the ratio of the river??s length to its straight-line distance tell us? In this segment the geological forces that account for a river??s motion are explained. In the process, the so-called Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TI-Nspire. Having built the model, students then use it to generate data to find the average of many Meander Ratios. The results show that on average the Meander Ratio is equal to pi.
Grade Range: 6-12, college developmental math
Curriculum Standards: CCSS.Math. Content. 6.EE.B.7, CCSS.Math. Content. 7.EE.B.4a, CCSS.Math. Content. 8.EE.C.7, CCSS.Math. Content. HSA-REI.A.1
Copyright: ©2011
Not ready to subscribe? Get this resource for
To continue previewing this content, you need to have a valid subscription. If you don’t have a log-in and password, please Register.
To download content you must be a paid Subscriber. You currently are not a Subscriber to this service.
To download content you must be a paid Subscriber and Logged In. If you don’t have a Log-In, please Register.