This activity gives students a chance to reflect on important ideas and concepts in the unit and how they might be useful in solving a problem.
Mathematics is a science in its own right, as well as an essential tool for scientists. For example, there is inevitable error in making physical measurements, and mathematics provides a way to describe and account for it. And mathematical objects (such as functions) can be used to model physical processes.
This activity will be done individually and then discussed briefly in class.
20 minutes for activity (at home or in class)
10 minutes for discussion
Individuals, followed by brief whole-class discussion
Before students begin work, brainstorm with them the many mathematical and scientific ideas that were studied in this unit. Also mention that this activity will be included in the unit portfolio.
Have volunteers share the problems they wrote about and how mathematics and science concepts they have learned about could be helpful in solving them.
Gettin’ On Down to One is a POW-like activity in which students investigate the behavior of number sequences and the relationships between that behavior and the number chosen to start a particular sequence.
Programming Down to One asks students to write a computer or calculator program to generate the number sequences in Gettin’ On Down to One.