http://flashman.neocities.org/MD/SUMMIT.html ¤

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

Visualizing Paired Data ¤

Example: Graph and Mapping Diagram

Example: The Thanksgiving - Hanukkah Coincidence ¤

Exploring $m$ and $b$ when $f(x) = mx+b$ ¤

Exploring with a spreadsheet .

Example: LF.DA.0 with GeoGebra .

Composition and Core ¤

Theorem: LF.COMP. :
For any $m$ and $b$, $f(x)=mx+b$ if and only if
$f=f_{+b}∘f_m$ where $f_m(x)=m∗x$ and $f_{+b}(x)=x+b$.

Example: LF.COMP.3 with SAGE [and GeoGebra].

The Focus Point for a Linear Function and Duality ¤

Example: LF.DFP with GeoGbra

Inverse Functions ¤

Example: LF.INV.3 with SAGE.

Example: LF.DINV.0 with GeoGebra .

Solving Linear Equations with Linear Functions ¤

Example: LF.DLEQ.0 with GeoGebra

Bonus: A 3D Mapping Diagram for a Linear Function of 2 Variable ¤

Example: MFC.0 with GeoGebra

Thanks to the organizers for inviting me...
and to you for listening.

Fin

Questions?

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