The Crow and the Pitcher: Investigating Linear Functions Using a Literature-Based Model
After reading the story, tell students that they will conduct an experiment, collect and record data, and use that data to predict the number of pebbles needed to bring the water to drinking level.
Organize students into groups of three or four and give each group a graduated cylinder, a container of water, and a bag of marbles (about 10 marbles per group). Distribute the Crow and Pitcher Activity Sheet to students. Instruct students to do the following:
When all groups have completed the table (and added 6 marbles, one at a time), post the Crow and Pitcher Table of Values Overhead and discuss findings so far. Instruct students to complete the activity sheet.
When students have completed the activity sheet, discuss any surprising discoveries. [The water will only rise to a certain level before the height of the marbles will exceed the height of the water.]
During the second half of class, or on the following day, each group should produce a poster presenting their results. These results should include the following:
Organize students into groups of three or four and give each group a graduated cylinder, a container of water, and a bag of marbles (about 10 marbles per group). Distribute the Crow and Pitcher Activity Sheet to students. Instruct students to do the following:
- Fill the cylinder with water to a level of 80 mL.
- Add marbles, one at a time, to the cylinder.
- Record the results on the table of values.
When all groups have completed the table (and added 6 marbles, one at a time), post the Crow and Pitcher Table of Values Overhead and discuss findings so far. Instruct students to complete the activity sheet.
When students have completed the activity sheet, discuss any surprising discoveries. [The water will only rise to a certain level before the height of the marbles will exceed the height of the water.]
During the second half of class, or on the following day, each group should produce a poster presenting their results. These results should include the following:
- A table of values from their activity sheet
- A graph
- An equation
- A picture that relates the equation to the physical model
- A written explanation
The marbles in class are a bit smaller and displace about 1 and 2/3 mililiters each.
I had my own children do this activity ( plus one adult) and everyone enjoyed it and understood the concepts. The connections to art and literature (mostly art) give students with other abilities a chance to shine.
I had my own children do this activity ( plus one adult) and everyone enjoyed it and understood the concepts. The connections to art and literature (mostly art) give students with other abilities a chance to shine.