GeoGebra
Using GeoGebra for A level Further Mathematics
Complex Numbers
Entering Complex Numbers
Locus in the complex plane: |z-w|=k
Complex Plane Transformation: w=1/z
Construction: Locus of |z1-w|=|z2-w|
Matrices
Entering Matrices
Matrix Transformations
Rotation Matrix
Invariant lines of matrix transformations
Construction: Transformation Matrix
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
Entering Vectors
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
Vectors - MEI FP3 June 2010 qn 1
Polar Curves
Entering polar coordinates and curves
Polar Integral
Polar curve: r = a + b cosθ
Area under polar curves
Polar curves: wrapping a function around the pole
Maclaurin Series
Entering Maclaurin series
Maclaurin series
Differential equations
2nd order differential equations
Second Order Linear DE solver
Coupled Differential Equations
Student Tasks
Student tasks for using GeoGebra
Construction problems
GeoGebra
Using GeoGebra for A level Further Mathematics
Author:
GeoGebra Institute of MEI
Topic:
Mathematics
This GeoGebra Book provides ideas and suggestions for using GeoGebra to enhance teaching and learning A level Further Mathematics.
Table of Contents
Complex Numbers
Entering Complex Numbers
Locus in the complex plane: |z-w|=k
Complex Plane Transformation: w=1/z
Construction: Locus of |z1-w|=|z2-w|
Matrices
Entering Matrices
Matrix Transformations
Rotation Matrix
Invariant lines of matrix transformations
Construction: Transformation Matrix
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
Entering Vectors
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
Vectors - MEI FP3 June 2010 qn 1
Polar Curves
Entering polar coordinates and curves
Polar Integral
Polar curve: r = a + b cosθ
Area under polar curves
Polar curves: wrapping a function around the pole
Maclaurin Series
Entering Maclaurin series
Maclaurin series
Differential equations
2nd order differential equations
Second Order Linear DE solver
Coupled Differential Equations
Student Tasks
Student tasks for using GeoGebra
Construction problems
Related Topics
Algebra
Arithmetic
Calculus
Functions
Geometry
Discover Resources
Figure for Euclid XIII.3
DIEGO VIDEO GAME
Niveaulinien für beliebige Funktionen
PR2 Equivalent Expressions
p.363 #23-41
Discover Topics
Optimization Problems
Polynomial Functions
Addition
Cylinder
Upper and Lower Sum or Riemann Sum
