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Outline
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
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
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
Next
The graph of the completed square form of a quadratic
New Resources
centripetal force
Flip 9 Coins
Roll 6d five times
רישום חופשי
Balls in an Urn
Discover Resources
vertical_line_test_pass
Dynagraph #3
Spektrum vsega
Desargues's Theorem
Properties of Tangents Drawn to Circles (A)
Discover Topics
Linear Functions
Secant Line or Secant
Coordinates
Cylinder
Cone
