Skip to content # Visualization in Algebra

## Activity Guide

# This guide looks at the activity in detail and goes into the underlying math.

Davis, Tom. (2022). Visualization In Algebra. In S. Bowen (Ed.), Math Circle Activity Database. American Institute of Mathematics. https://mathcircles.org/activity/visualization-in-algebra

Contributor(s): Tom Davis

Math Circles: MTC Network

- Activity Description
- Topics Covered
- Session Styles
- Mathematical Practices

Many topics in mathematics can be made much clearer when symmetric aspects are made clear or when nice alternative visualizations are possible. When this occurs, it helps both the student and the teacher. We will examine visualization and symmetry in a very general way by means of a set of problems.
There is a large amount of potential classroom material here, and almost any small part of it could be used for an entire class session.

MP1 - Make sense of problems and persevere in solving them.

MP2 - Reason abstractly and quantitatively.

MP3 - Construct viable arguments and critique others' reasoning.

MP4 - Model with mathematics.

MP5 - Use appropriate tools strategically.

MP6 - Attend to precision.

MP7 - Look for and make use of structure.

MP8 - Look for and express regularity in repeated reasoning.

MP2 - Reason abstractly and quantitatively.

MP3 - Construct viable arguments and critique others' reasoning.

MP4 - Model with mathematics.

MP5 - Use appropriate tools strategically.

MP6 - Attend to precision.

MP7 - Look for and make use of structure.

MP8 - Look for and express regularity in repeated reasoning.