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Contenuti
Using GeoGebra for A level Further Mathematics
Complex Numbers
Matrices
Roots of polynomials
3D Vector Geometry
Polar Curves
Maclaurin Series
Differential equations
Student Tasks
Using GeoGebra for A level Further Mathematics
Autore:
GeoGebra Institute of MEI
Argomento:
Matematica
This GeoGebra Book provides ideas and suggestions for using GeoGebra to enhance teaching and learning A level Further Mathematics.
Sommario
Complex Numbers
The graph of the completed square form of a quadratic
Complex roots of quadratic equations
Locus in the complex plane: |z-w|=k
Complex Plane Transformation: w=1/z
Construction: Locus of |z1-w|=|z2-w|
Entering Complex Numbers
Matrices
Matrix Transformations
Rotation Matrix
Invariant lines of matrix transformations
Construction: Transformation Matrix
Entering Matrices
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
Entering Vectors
Polar Curves
Polar curve: r = a + b cosθ
Polar curves: wrapping a function around the pole
Area under polar curves
Entering polar coordinates and curves
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
Successivo
The graph of the completed square form of a quadratic
Nuove risorse
Neuberg's Theorem
函數的奇偶性
Slope Between 2 Points (Phase 2)
Prism Drawn in 2-Point Perspective
Untitled
Scopri le risorse
graphing
الأعمدة المنصفة في المثلث
Lab 5 Sketches
Point of concurrency in an arbitrary triangle
Scopri gli argomenti
Sottrazione
Seno
Analisi
Logaritmi
Calcolo differenziale
