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Prijavite se u Mathigon

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Knjižnica tečajeva
Istražite udžbenik budućnosti

GeometrijaBrojevi i algebraVjerojatnost i primjene

Srednja škola

Euclidean Geometry

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

Preslikavanja i simetrija

UvodPreslikavanja koja čuvaju udaljenost (izometrije)
Kongruencija
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SimetrijaGrupe simetrija i pozadineSimetrija u fiziciHomotetija
Sličnost
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Triangles and Trigonometry

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

Poligoni i poliedri

poligoničetverokutatessellationspoliedra
Mreže i presjeci
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Prizme i piramide
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Oblici skaliranja i kruta tijela
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Platonske čvrste tvari

Srednja škola

Krugovi i Pi

UvodStupnjevi i radijaniTangenta, akordi i lukovi
Teoreme kruga
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Ciklički poligoni
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Kugle, konusi i cilindriKonusni presjeci

Non-Euclidean Geometry

Spherical GeometryMap ProjectionsHyperbolic GeometryMetric SpacesTopology
Higher Dimensions
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Fraktali

UvodSierpinski trokutMandelbrotov set
Krivulje za ispunjavanje prostora
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Srednja škola

Divisibility and Primes

Factors and MultiplesDivisibility RulesPrime NumbersThe Distribution of PrimesLowest Common MultiplesGreatest Common Factors

Nizovi i obrasci

UvodAritmetički i geometrijski nizFigurativni brojevi
Niz kao funkcija
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Fibonaccijevi brojeviPosebni nizoviPascalov trokut
Limesi i konvergencija
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Quadratic Equations

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

Exponential Functions

Carbon Dating
Exponential Growth and Decay
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Comparing Models
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Compound Interest
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Population Dynamics
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Logic, Sets and Proof

Logic and ParadoxesAxioms and ProofProof by InductionInfinity and Hilbert’s Hotel

Srednja škola

Probability

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

Statistics and Data

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

FactorialsPermutationsCombinations

Srednja škola

Grafikoni i mreže

UvodKönigsberški mostoviRukovanje i druženjeRavni grafikoniBojanje karteProblem putničkog prodavca
Problemi s planiranjem
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Grafovi u svakodnevnom životu

Codes and Ciphers

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

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

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