Learning goals: Teacher Facing Create a graph of a function from collected data, and interpret (in writing) a point on the graph. Draw a container for which the height of water as a function of volume would be represented as a piecewise linear function, and explain (orally) the reasoning. Interpret (orally and in writing) a graph of heights of certain cylinders as a function of volume, and compare the rates of change of the functions. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from 8.5 Functions and Volume, Grade 8.