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This page supports the Introducing Dynagraphs activity from the Dynagraph unit. You will investigate dynagraphs of several different functions. To get a feel for the behavior of each function, you will drag the independent variable and observe the resulting motion of the dependent variable.
1 Explore a Dynagraph
2 Play the Dynagraph Game
3 Play the Dynagraph Game with Sliders
- Use page 1 for practice. Start out by dragging `x` and using the sliders to make `f(x)` and `??(x)` move at the same speed, and then adjust their positions to match.
- Then use the Animate buttons to make `x` move automatically, and use the sliders again to match mystery function `??(x)`.
- Finally, go to page 2 and try to score 10 out of 10 on levels 1 and 2.
Notice that you can change the level only at the beginning of a game. To change levels, press Reset and then choose your new level.
Dynagraphs
The term dynagraph was coined by Paul Goldenberg, Philip Lewis, and James O’Keefe in their study “Dynamic Representation and the Development of a Process Understanding of Functions” published by Education Development Center, Inc., and supported in part by a grant from the National Science Foundation.
Related Activity
In the activity Create a Dynagraph, you can construct your own dynagraph for linear functions, using only geometric transformations (dilation and translation) to accomplish the construction.
Release Information and Rights
[an error occurred while processing this directive]Update History:
08 May 2018: Moved into the Forging Connections project space 29 March 2016: Added the worksheet and refined the sketch.26 March 2016: Created this page.
Download the teacher notes.
This web site is based in part upon work supported by the National Science Foundation under NCSU IUSE award 1712280 (July 2017 through June 2019) and KCP Technologies DRK-12 award ID 0918733 (September 2009 through August 2013). Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.
We are deeply grateful to McGraw-Hill Education for making Web Sketchpad available for these activities.
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