Tag: Rational Functions

The greatest value of GeoGebra, or Geometer’s Sketchpad, or other such packages, in my eyes is their ability to help students dynamically visualize the effect each constant has on the graph of an equation. I find them an invaluable “thinking aid” as I ponder a new equation form, and they help me formulate my own answers to questions such as “why does it do that?”

Check out applets that help students explore the relationship between function parameters and their graphs:

Linear functions:

GeoGebraBook: Exploring Linear Functions, which contains

• Slope-Intercept Form – Interactive Linear Function Graph
• Point-Slope Form – Interactive Linear Function Graph
• Standard Form – Interactive Linear Function Graph

Quadratic functions:

GeoGebraBook of Quadratic Applets, which contains

• Factored Form – Interactive Quadratic Function Graph
• Standard Form – Interactive Quadratic Function Graph
• Standard Form – the effect of “b” – Interactive Function Graph
• Vertex Form – Interactive Quadratic Function Graph

Exponential and Logarithmic functions:

GeoGebraBook of Exponential and Logarithmic Applets, which contains

• Interactive Exponential Function Graph
• Interactive Logarithmic Function Graph

Rational functions:

• Interactive Rational Function Graph

Trigonometric functions:

GeoGebraBook for Exploring Trig Functions, which contains

• Interactive Unit Circle Graph
• Interactive Sine Function Graph
• Interactive Cosine Function Graph

Unit Circle Symmetries:

GeoGebraBook of Unit Circle Symmetry applets, which contains:

• Unit Circle: y-axis Symmetry
• Unit Circle y-axis Symmetry: Sine
• Unit Circle y-axis Symmetry: Cosine

• Unit Circle: x-axis Symmetry
• Unit Circle x-axis Symmetry: Sine
• Unit Circle x-axis Symmetry: Cosine

• Unit Circle: Origin Symmetry
• Unit Circle Origin Symmetry: Sine
• Unit Circle Origin Symmetry: Cosine