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  • 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.
Using GeoGebra for 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
    • Vectors - MEI FP3 June 2010 qn 1
  • Polar Curves

    • Polar curve: r = a + b cosθ
    • Polar curves: wrapping a function around the pole
    • Polar Integral
    • 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
    • Construction problems
Next
The graph of the completed square form of a quadratic

Related Topics

  • Algebra
  • Arithmetic
  • Calculus
  • Functions
  • Geometry

Discover Resources

  • Example 3
  • Squares on Squares
  • Hadwick test
  • Postions relatives : plans et droites
  • Check - Is it a Perpendicular Bisector?

Discover Topics

  • Bar Chart or Bar Graph
  • Similar Triangles
  • Perimeter
  • Random Variables
  • Intersection

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