This page supports the Dilate Family activity from the Introducing Functions unit. You will construct and investigate dilate functions.
1 Warmup
Can you figure out how to hit the target? How many points can you score in ten throws?
- Page 2 has a hint; page 3 has more hints.
- Pages 4 and 5 have slightly different challenges.
2 Construct Dilate Functions
On this page, construct a dilate function and turn on tracing for both variables. Then investigate the relative speeds and direction, and the relationship between their traces.
On this page, construct and compare two dilate functions. Investigate relative speed and direction of the variables. Also investigate the fixed point(s) of your functions.
On this page, attach the independent variable to a polygon. Then investigate the traces made by the dependent variable, using several different function rules.
On this page, you can use negative scale factors. Compare the behavior of dilate functions with several different positive and negative scale factors.
On this page, attach x to the red polygon, and figure out how to make `D_(C,s)(x)` follow the blue polygon.
What did you notice, what did you wonder, what did you learn as you did this?
Use this page to experiment further on your own.
3 Interlude
✏️ How does this video relate to the dilate activity you just did?
4 Dilate Games
Each page below contains a different dilate game.
Test (and improve!) your understanding of the dilate family by practicing these games.
The Fine Print
Requirements:
These activities require web access using a browser that supports HTML5 and JavaScript. (That means almost any current browser.) No purchase is required, and there’s no advertising anywhere.
Release Information
“You may freely use Web Sketchpad in your own Web pages, provided you do so for non-commercial use only” [per kcpt.github.io].
Update History:
Record every major revision, in reverse chronological order
This web site is based in part upon work supported by the National Science Foundation under NCSU IUSE award 1712280 (July 2017 through December 2020) 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 lessons.
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