This page supports the Connect to Cartesian activity from the Connecting Geometry and Algebra Through Functions unit.
In this game you control a composed function T∘D (Translation following Dilation) by adjusting the blue dilation scale factor s and the green translation vector v. The challenge is to make your function match mystery function ??.
- When you're finished with a round, press the Reset button to reset the counters to zero and start another round.
- You can only change levels at the beginning of a new round.
- At Level 1, the values are always integers. At higher levels, they can be fractions, so you have to be more accurate at higher levels.
- On page 2 is a Cartesian coordinate system with both dependent variables plotted on the vertical axis. The independent variable x is always varying, and your job is to adjust s and v so that T(D(x) exactly matches ??(x).
- When you have T(D(x) exactly matching ??(x), press the Check button.
- On pages 3 and 4 the two functions T∘D and ?? are being graphed. You can use the traced graphs, or the points (x, T(D(x))) and (x, ??(x)) to observe the relative motion and adjust s and v correctly.
- On page 5 you see only the graphs and the graphed points that are making them, but not the dependent variables themselves.
- On page 6 nothing is moving, but you can drag x yourself to use the graphed points, and the values of the variables, to figure out how to adjust s and v.
- On page 7, you have to figure out how to adjust s and vcorrectly without seeing the results until you press the Check button.
- If you can succeed on page 7 at Level 4, you’re a real Expert!
Return to the Connect to Cartesian activity.
Release Information and Rights
2015Q4Update1, Semantic Version: 4.5.0-alpha, Build Number: 1013, Build Stamp: ip-10-149-70-76/20160303102907
Web Sketchpad Copyright © 2015 KCP Technologies, a McGraw-Hill Education Company.
“You may freely use Web Sketchpad in your own Web pages, provided you do so for non-commercial use only” [per kcpt.github.io
01 April 2016: Updated to 4.5.0
21 October 2015: Created this page.