GeoGebra
Use of GeoGebra in Further Maths: examples
Complex numbers
The graph of the completed square form of a quadratic
Locus in the complex plane: |z-w|=k
Matrices
Matrix Transformations
Rotation Matrix
Invariant lines of Matrix Transformations
Roots of polynomials
Roots of a cubic: α, β, γ (real)
Roots of a cubic: α, β, γ
Roots of related cubics: α+k, β+k, γ+k
Roots of related cubics: kα, kβ, kγ
3D Vector Geometry
Vector equation of a line in 3D
Skew lines: finding the distance (dot product)
Skew lines: finding the distance (cross product)
3 planes: unique point of intersection
3 planes: 2 parallel
3 planes: 3 parallel
3 planes: prism
3 planes: sheaf
Polar curves
Polar curve: r = a + b cosθ
Area under polar curves
Polar curves: wrapping a function around the pole
Differential equations
2nd order differential equations
Second Order Linear DE solver
Coupled Differential Equations
Student Tasks
Student tasks for using GeoGebra
Construction problems
GeoGebra
Use of GeoGebra in Further Maths: examples
Author:
GeoGebra Institute of MEI
Table of Contents
Complex numbers
The graph of the completed square form of a quadratic
Locus in the complex plane: |z-w|=k
Matrices
Matrix Transformations
Rotation Matrix
Invariant lines of Matrix Transformations
Roots of polynomials
Roots of a cubic: α, β, γ (real)
Roots of a cubic: α, β, γ
Roots of related cubics: α+k, β+k, γ+k
Roots of related cubics: kα, kβ, kγ
3D Vector Geometry
Vector equation of a line in 3D
Skew lines: finding the distance (dot product)
Skew lines: finding the distance (cross product)
3 planes: unique point of intersection
3 planes: 2 parallel
3 planes: 3 parallel
3 planes: prism
3 planes: sheaf
Polar curves
Polar curve: r = a + b cosθ
Area under polar curves
Polar curves: wrapping a function around the pole
Differential equations
2nd order differential equations
Second Order Linear DE solver
Coupled Differential Equations
Student Tasks
Student tasks for using GeoGebra
Construction problems
New Resources
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Quiz 3 #2
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