
Radnor School District: Geometry and Algebra Using GSP
August 28 and 29, 2002 

Index of Workshops
General Agenda for Both Groups
The teachers will be split into a Geometry group and an Algebra group. The groups will be working in different labs.
 Go through the "Necessary Skills" handout.
 Go through the "Required Activities"
 Each of the three/four subgroups is assigned a chapter of the appropriate Radnor
text and finds/explores activities that would be useful/relevant to that chapter and reports back
 Repeat step 3 with different chapters as necessary
 Use the Send a Note to provide feedback.
 Tips and Tricks  Using GSP to illustrate in MS Word
 24 Game Online  JumpingLevels.com
 Annie's Sample Outline [See also Tom's and Maureen's Outline]
 The Math Forum's Problems of the Week [Also read about the PoWs.]
Algebra
Necessary Skills:
 plotting points and lines and measuring coordinates, "snap points"
 "Plot Points..."
 preferences for measurement
 plotting functions
 nondynamic
 editing functions
 using parameters
 using sliders
 seconddegree, etc.
 swapping x and y
 square and rectangular grid forms
 polar graphs
 as (x,y) relationships (area vs. length of a side, etc)
 intersections of "functions"
 making and using custom tools
 making custom tools
 appropriating custom tools from other sketches
 managing custom tools
Required Activities:
(all activites are from Exploring Algebra with The Geometer's Sketchpad)
 Raz's Magical Multiplying Machine (page 12)  number sense
 The Distributive Property: Diving In (page 24)  virtual algebra tiles: using custom tools
 How Slope is Measured (page 43)
(note slopes in fraction form  hard)
 Swans and Giraffes: Introducing Linear Programming (page 62)
(note that the coordinates of point R move AND change with point R  medium hard)
 Parabolas: A Geometric Approach (page 87)
 Representing Functions Dynamically: Introducing Dynagraphs (page 104)
Geometry
Necessary Skills:
 basic constructions
 labeling
 measurements and calculations
 making and using custom tools
 managing custom tools
 appropriating custom tools from other sketches
 managing documents/multiple pages
 transformations, especially dilation
Required Activities:
(all activites are from Exploring Geometry with The Geometer's Sketchpad)
 Duplicating an Angle (page 14)
 Defining Triangles (page 63)
 Constructing Rhombuses (page 96)
 Arcs and Angles (page 125)
 Similar Triangles  SSS, SAS, SSA (page 171)
 Proportions with Area (page 190)
Shelly Berman, Annie Fetter & Suzanne Alejandre
Send comments/questions to
the presenters.
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