Fill 'er Up
Patterns
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Objective
Students will be able to interpret, predict and sketch graphs of related functions.
Overview of the Lesson
Two containers with different shapes are shown to the class. Each time a measure of
water is poured into the container, the number of this measure (x) and the resulting
height of the water (y) are plotted on a graph as an ordered pair. Students demonstrate
the procedure of filling the measure with water, pouring the water into the container,
and measuring the height. Students plot the points and make predictions. Following
the same procedure, three more bottles with different shapes are displayed with three
completed graphs. Students work in groups to match these containers with their
related graph. Each group must be able to supply a rationale for their decision. Keeping
the same variables, students are asked to intuitively sketch the graphs of some
additional irregular containers.
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