Alberta Math 20-1

GeoGebra Constructions Organized by Strand

Relations and Functions

Functions - Absolute Value
  • Show how the graphs of \( f(x) \) and \( |f(x)| \) relate to each other
  • Choose from:
    • \( f(x)=a(x−b) \)
    • \( f(x)=a(x−b)(x−c) \)
Functions - Absolute Value - Draggable
  • Show how the graphs of \( f(x) \) and \( |f(x)| \) relate to each other
  • \( f(x) \) is defined by draggable points
  • Choose from:
    • \( f(x)=ax+b \)
    • \( f(x)=ax^2+bx+c \)
Functions - Quadratic - Expanded Form
  • Show how the parameters in \( f(x)=ax^2+bx+c \) are related to the characteristics of the corresponding graph
Functions - Quadratic - Factored Form
  • Show how the parameters in \( f(x)=a(x−b)(x−c) \) are related to the characteristics of the corresponding graph
Functions - Quadratic - Vertex Form
  • Show how the parameters in \( f(x)=a(x−p)^2+q \) are related to the characteristics of the corresponding graph
Functions - Reciprocal - Polynomials
  • Show how the graphs of \( f(x) \) and \( \frac{1}{f(x)} \) relate to each other
  • Choose from:
    • \( f(x)=a(x−b) \)
    • \( f(x)=a(x−b)(x−c) \)
Functions - Reciprocal - Polynomials - Draggable
  • Show how the graphs of \( f(x) \) and \( \frac{1}{f(x)} \) relate to each other
  • f(x) is defined by draggable points
  • Choose from:
    • \( f(x)=ax+b \)
    • \( f(x)=ax^2+bx+c \)
Relations - Domain and Range Shadows
  • Show that the range can be thought of as the shadow of the graph projected onto the y-axis
  • Show that the domain can be thought of as the shadow of the graph projected onto the x-axis

Trigonometry

Trigonometry - Sine Law
  • Show the geometric implications of the Sine Law
Trigonometry - Sine Law - Ambiguous Case
  • Show how 0, 1, or 2 triangles can be constructed when given two sides and a non-contained angle