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GeoGebra
GeoGebra Classroom
Outline
Use of GeoGebra in Further Maths: examples
Complex numbers
Matrices
Roots of polynomials
3D Vector Geometry
Polar curves
Differential equations
Student Tasks
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
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