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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
Автор:
GeoGebra Institute of MEI
Тема:
Математика
This GeoGebra Book provides ideas and suggestions for using GeoGebra to enhance teaching and learning A level Further Mathematics.
Зміст
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
Наступний
The graph of the completed square form of a quadratic
Нові Ресурси
bewijs stelling van Pythagoras
Golden Dragon and Icosahedron
גיליון אלקטרוני להעלאת נתוני בעיה ויצירת גרף בהתאם
Curve C1 through 7 points and their tangents.
Fonts
Відкрийте для себе Ресурси
Regle_de_l_ascenseur_Version1
Differentiation - Trigonometry through first principles
Rectangle Construction
Medians of a triangle
geogebra challenge 2
Congruent Triangles AAS
Відкрийте для себе Теми
Тригонометрія
Арифметичні Операції
Симетрія
Конус
Множення