Scott Steketee, 21st Century Partnership for STEM Education, firstname.lastname@example.org
Donovan Hayes, Hill-Freedman World Academy, Philadelphia, email@example.com
2 Benefits of a Transformation Approach
3 The Problem with Congruence
The traditional approach to congruence is fraught with difficulties, leaving triangle congruence properties based on assumptions instead of proofs. A transformation approach overcomes those difficulties, opening a path for students to confront and solve the challenge of proving SSS as a theorem.
4 A Line with Five Identities
There are five ways you can think about this line:
Use the tools to construct and/or trace all of these in turn, each on its own page. The tools include Hide/Show buttons you can use to hide or show each way of constructing or tracing this line.
In your own words, describe something that's interesting or important about each of these five—five lines that are all the same, but also different, each in its own way!
Web Sketchpad (WSP) is our dynamic geometry platform. Each WSP activity provides only a small number of tools, simplifying the user interface and encouraging productive exploration.
When you tap to activate a tool, the entire construction appears, ready for you to place its glowing objects where you want them, or to match them to existing objects in the sketch.
5 Summary and Discussion
Setting the Stage for SSS
To set the stage for our constructive proof of the SSS Theorem, we’ve:
Big Mathematical Ideas
6 Mystery Transformations
This lesson is located here: https://geometricfunctions.org/fc/unit2/mystery-transformations/
7 Mirror, Mirror
This lesson is located here: https://geometricfunctions.org/fc/unit2/mirror-mirror/
8 Prove the Segment Congruence Theorem
To prepare for our conclusion, we'll first solve a simpler problem: Proving the Segment Congruence Theorem.
This lesson is located here: https://geometricfunctions.org/fc/unit3/prove-sss/#ProvetheSegment
9 Prove the SSS Theorem
We now find ourselves having done the hard part: figuring out a strategy to use in superposing one geometric shape on another. By superposing several points, the rest of the shape must follow!
This lesson is located here: https://geometricfunctions.org/fc/unit3/prove-sss/#ProvetheSSS
10 Summary and Discussion
WSP Tool Library: geometricfunctions.org/fc/tools/library
WSP Sketch Viewer: geometricfunctions.org/fc/tools/viewer
Sine of the Times Blog: http://sineofthetimes.org
The Fine Print
Record every major revision, in reverse chronological order