MATH CURRICULUM

for

MATH CLUBS &

ELECTIVE MATH CLASSES

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Numbers

1. Number Sums and Gauss

2. Primes

   1. Euler’s Prime number formula

   2. Sieve of Eratosthenes

   3. Prime Facts

   4. The Great Internet Mersenne Prime Search

3. Iconic Numbers of Math

   1. Pi- number

   2. Fibonacci Sequence

   3. Phi number

   4. Euler’s Number

4. Recurring Decimals

5. Exponential Growth – Do Vampires really exist!? 📎

6. Number Bases and Binary

7. Real vs Imaginary Numbers

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Infinity

1. Zeno’s Paradox

2. Hilbert’s Hotel

3. Cantor’s scales of infinity

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Geometry 

1. Cube​​

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1. Cube Investigation 📎

2. Prisms and Pyramids

3. Archimedes' sphere in a cylinder

4. Anti-Prisms

5. Platonic Solids and Pull-out nets

6. Circle Constructions

7. Ellipses

8. Reuleaux Triangle, Polygons and Solids

9. 4th Dimension and Dali and Flatland

Topology

1. Mind bending shapes

2. Compare and Classify Shapes

3. Mobius Strips

4. Klein Bottle​

• Recycling Logo, Balance and Sustainability for our World

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Graph Theory

1. Euler Circuits

2. Königsberg Bridges

3. Euler Theorem

4. The Utilities Problem

5. Six degrees of Separation

  6. Colar Maps​

Mathematical Timeline

1. Mathigon and Long term Student Project

2. Story-telling sessions and bring famous mathematicians to life (Apps)

Math-Magic

1. Top and Bottom (Three fair die),

2. Always 34

3. Pick a picture

4. Magic 115 trick

5. Multiplication Wizard

6. Famous $30 bill problem

7. Algebra-based Magic Examples and Create your own math-magic

Pythagoras and his theorems

1. Proof of the theorem

2. Music Ratios

3. Greedy Cup

4. Tales and a closer look to his life

Pascal Triangle

1. A detailed Investigation on Pascal Triangle 📎

   1. ​Algebra

   2. Combination

   3. Probability and Galton Board

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Probability and Statistics

1. Fair Dice

2. Factorials

3. Combination Lock

4. Pick a card game

5. Birthday Paradox

6. Predictions leads to Data Science

Algorithms

1. A path from Algorithms to AI

2. Sorting Network activities

3. Google AI Experiments

Cryptology

1.  History of Cryptology

2. Caesar’s Cipher

3. Enigma Machine

MATH & ART

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• Stitching Curves

1. Drawing Parabolas 

2. Stitching Stars

3. Creative Curves

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• Curves of Pursuit

  1. Mini Investigation

  2. Spirographs

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• Tessellation

1. Types of geometric tessellations

2. Escher’s Art

3. 17 Symmetry Groups and Architecture (Apps)

4. 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

1. How long is a coastline?

2. Sierpinski Triangle 2D or 3D, Area Calculations

3. Koch Snowflake and Perimeter Calculations

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• Origami

1. Folding to create plane figures

2. Folding for geometrical constructions

3. Creating 3D Solids

4. Solar Panels of the Spaceships

GAMES

• TANGRAMS and TOOTHPICK PUZZLES

1. Starter Pack

2. Next Level

3. Challenging

• THE GAME OF NIM

1. Strategies

   1. Copycat 2

   2. Copycat 1

   3. 1-2-3​​

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TECH CORNER:

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1. Basics of GEOGEBRA

2. Basics of DESMOS

3. Geometric Constructions w/ EUCLIDEA