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Video Transcript: Algebra Applications: Variables and Equations, Segment 3: River Ratios

Video Transcript: Algebra Applications: Variables and Equations, Segment 3: River Ratios

This is the transcript for the video of same title. Video contents: 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.

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Common Core Standards CCSS.MATH.CONTENT.6.EE.B.7, CCSS.MATH.CONTENT.6.RP.A.1, CCSS.MATH.CONTENT.7.RP.A.1
Grade Range 6 - 8
Curriculum Nodes Algebra
    • Expressions, Equations, and Inequalities
        • Applications of Equations and Inequalities
Copyright Year 2011
Keywords ratios, equations, proportions, solving proportions, videos, geology, earth science, algebra resources for teachers, algebra resources for teachers and students, video transcript, circular arcs