Kursuste raamatukogu
Tutvuge tuleviku õpikuga

Põhikool

Euclidean Geometry

IntroductionEuclid’s AxiomsRuler and Compass Construction
Even More Constructions
Ehitamisel
Angles and Proofs
Ehitamisel
Origami and Paper Folding

Transformations and Symmetry

IntroductionRigid Transformations
Congruence
Ehitamisel
SymmetrySymmetry Groups and WallpapersSymmetry in PhysicsDilations
Similarity
Ehitamisel

Triangles and Trigonometry

IntroductionProperties of Triangles
Midsegments and Similarity
Ehitamisel
Triangle CongruencePythagoras’ Theorem
Isosceles and Equilateral Triangles
Ehitamisel
TrigonometrySine and Cosine Rules

Polygons and Polyhedra

PolygonsQuadrilateralsTessellationsPolyhedra
Nets and Cross Sections
Ehitamisel
Platonic Solids

Keskkool

Circles and Pi

IntroductionDegrees and RadiansTangents, Chords and Arcs
The Circle Theorems
Ehitamisel
Cyclic Polygons
Ehitamisel
Spheres, Cones and CylindersConic Sections

Non-Euclidean Geometry

Spherical GeometryMap ProjectionsHyperbolic GeometryMetric SpacesTopology
Higher Dimensions
Ehitamisel

Fractals

IntroductionThe Sierpinski TriangleThe Mandelbrot Set
Space Filling Curves
Ehitamisel

Põhikool

Sequences and Patterns

IntroductionArithmetic and Geometric SequencesFigurate Numbers
Sequences as Functions
Ehitamisel
Fibonacci NumbersSpecial SequencesPascal’s Triangle
Limits and Convergence
Ehitamisel

Quadratic Equations

Introduction
Binomial Expressions
Ehitamisel
Solving Quadratic Equations
Ehitamisel
The Quadratic Formula
Ehitamisel
Graphing Quadratics
Ehitamisel
Projectile Motion
Ehitamisel
More Applications
Ehitamisel

Keskkool

Exponential Functions

Carbon Dating
Exponential Growth and Decay
Ehitamisel
Comparing Models
Ehitamisel
Compound Interest
Ehitamisel
Population Dynamics
Ehitamisel

Põhikool

Probability

Introduction
Probability Trees and Venn Diagrams
Ehitamisel
Conditional Probability
Ehitamisel
The Monty Hall Problem
The Birthday Problem
Ehitamisel
True Randomness

Statistics and Data

Casino Mathematics
Data Visualisation
Ehitamisel
Center and Spread of Data
Ehitamisel
Sampling and Estimation
Ehitamisel
The Wisdom of Crowds
Ehitamisel
Linear Models
Ehitamisel

Keskkool

Codes and Ciphers

Introduction
Binary Numbers
Ehitamisel
Error Detection
Ehitamisel
Secret Codes
Ehitamisel
The Enigma
Ehitamisel
Public Key Cryptography
Ehitamisel

Game Theory

The Prisoners’ Dilemma
Cards, Coins and Dice
Ehitamisel
The Winning Move
Random Walks
Ehitamisel

Chaos Theory

Introduction
Mathematical Billiard
Ehitamisel
The Three Body Problem
Ehitamisel
Phase Space and Strange Attractors
Ehitamisel
The Logistic Map
Ehitamisel