What we had in mind
Goals of this activity
Students will be able to...
Students first draw the height of the water in a glass against time. They play back their graph just like in Function Carnival.
But then students create their own glasses. Once they successfully draw the graph of their own glass, it goes in the class cupboard. Now each student’s glass is right alongside glasses invented by their friends. These new glasses are graphable, too.
Help students focus their attention on the height of the water as time passes. You might do this by pouring from a pitcher of water into a wacky glass from the local thrift shop.
Challenge students to sketch graphs of the glasses that pop up on their screens, and to work at being accurate.
Use the teacher view to identify students to talk with. For example:
Some students will finish the activity quickly and need a challenge. This is where the class cupboard comes in. You could stock the cupboard with one or more challenging glasses by logging in as a student (either in advance or while students are working).
Take note of interesting graphs and glasses from the class cupboard that you’d like to discuss with the class at the end of the lesson, or for your own use after class has finished. You may choose graphs that are very accurate, graphs that have surprising errors, or graphs that show errors common among your students.
When students finish the activity, have a class discussion to highlight the important ideas behind the activity. Call up the interesting graphs you selected earlier, one at a time, and ask questions to get students to state these ideas.