MATH CURRICULUM
for
MATH CLUBS &
ELECTIVE MATH CLASSES
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Numbers
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Number Sums and Gauss
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Primes
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Euler’s Prime number formula
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Sieve of Eratosthenes
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Prime Facts
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The Great Internet Mersenne Prime Search
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Iconic Numbers of Math
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Pi- number
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Fibonacci Sequence
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Phi number
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Euler’s Number
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Recurring Decimals
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Exponential Growth – Do Vampires really exist!? 📎
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Number Bases and Binary
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Real vs Imaginary Numbers
Infinity
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Zeno’s Paradox
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Hilbert’s Hotel
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Cantor’s scales of infinity
Geometry
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Cube
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Prisms and Pyramids
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Archimedes' sphere in a cylinder
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Anti-Prisms
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Platonic Solids and Pull-out nets
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Circle Constructions
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Ellipses
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Reuleaux Triangle, Polygons and Solids
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4th Dimension and Dali and Flatland
Topology
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Mind bending shapes
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Compare and Classify Shapes
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Mobius Strips
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Klein Bottle
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Recycling Logo, Balance and Sustainability for our World
Graph Theory
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Euler Circuits
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Königsberg Bridges
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Euler Theorem
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The Utilities Problem
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Six degrees of Separation
6. Colar Maps
Mathematical Timeline
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Mathigon and Long term Student Project
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Story-telling sessions and bring famous mathematicians to life (Apps)
Math-Magic
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Top and Bottom (Three fair die),
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Always 34
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Pick a picture
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Magic 115 trick
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Multiplication Wizard
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Famous $30 bill problem
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Algebra-based Magic Examples and Create your own math-magic
Pythagoras and his theorems
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Proof of the theorem
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Music Ratios
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Greedy Cup
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Tales and a closer look to his life
Pascal Triangle
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A detailed Investigation on Pascal Triangle 📎
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Algebra
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Combination
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Probability and Galton Board
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Probability and Statistics
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Fair Dice
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Factorials
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Combination Lock
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Pick a card game
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Birthday Paradox
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Predictions leads to Data Science
Algorithms
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A path from Algorithms to AI
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Sorting Network activities
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Google AI Experiments
Cryptology
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History of Cryptology
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Caesar’s Cipher
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Enigma Machine
MATH & ART
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Stitching Curves
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Drawing Parabolas
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Stitching Stars
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Creative Curves
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Curves of Pursuit
1. Mini Investigation
2. Spirographs
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Tessellation
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Types of geometric tessellations
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Escher’s Art
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17 Symmetry Groups and Architecture (Apps)
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Tessellation on 3D solids
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The Impossible Shapes
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The Ambiguous Shapes
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The art of Anamorphic Illusion
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Vedic Mathematics
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Fractals
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How long is a coastline?
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Sierpinski Triangle 2D or 3D, Area Calculations
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Koch Snowflake and Perimeter Calculations
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Origami
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Folding to create plane figures
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Folding for geometrical constructions
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Creating 3D Solids
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Solar Panels of the Spaceships
GAMES
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TANGRAMS and TOOTHPICK PUZZLES
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Starter Pack
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Next Level
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Challenging
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THE GAME OF NIM
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Strategies
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Copycat 2
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Copycat 1
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1-2-3
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TECH CORNER:
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Basics of GEOGEBRA
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Basics of DESMOS
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Geometric Constructions w/ EUCLIDEA
