Fraction Multiplication and Division using Virtual Measurement Models

**Session Goals:** Explore applets to support conceptual understanding of fraction multiplication using length models. Discuss how these applets can be used with students. (Please bring a web-capable device.)

*Note: *The applets we use in this session are our attempts to support our own thinking about fraction & length connections and how technology can support *dynamic aspects of fractions and operations as lengths and actions on those lengths..*

**Session Take-aways: **There are connections - and disconnects - between visualizations of fractions using length models: across discrete and continuous unit representation and across the actions of multiplication and division.

**Task 1: **Compare the *actions* of multiplication and division.

Model of Multiplication (Continuous) | Model of Multiplication (Discrete) |

Model of Division (Continuous) | Model of Division (Discrete) |

**Task 2: **Consider the *action* in the situation here: **Continuous Fractions and Lengths Model**, and think about how different *operations * could be represented. Consider the representation of the *quantity* and how you might link it to the *number*.

**Resources:** Download the slides for this session and our Monday hands-on session here.