This lesson teaches students about inverse variation by exploring the relationship between the heights of a fixed amount of water poured into cylindrical containers of different sizes as compared to the area of the containers' bases. This lesson plan is based on the activity used by teacher Peggy Lynn in Part II of the Workshop 7 video.
One to two 50-minute periods
Students will be able to:
Identify an inverse variation by the shape of its graph.
Represent an inverse variation algebraically.
Describe the primary characteristics of an inverse variation.
Compare and contrast an inverse variation with a direct variation.
Standards: Principles and Standards for School Mathematics, National Council of Teachers of Mathematics (NCTM), 2000: