MATH CURRICULUM

for

MATH CLUBS &

ELECTIVE MATH CLASSES

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 Activity

   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 Investigation 

2. Prisms and Pyramids

3. Project Archimedes

4. Pi-finder with Archimedes

5. Anti-Prisms

6. Platonic Solids and Pull-out nets

7. Circle Constructions

8. Ellipses

9. Reuleaux Triangle, Polygons and Solids

10. 4th Dimension and Dali and Flatland

11. The Brachistochrone 1 - 2

Topology

1. Mind-bending shapes

2. Compare and Classify Shapes

3. Mobius Strips

4. Klein Bottle​

5. Recycling Logo, Balance, and Sustainability for our World

Graph Theory

1. Euler Circuits

2. Königsberg Bridges

3. Euler Theorem

4. The Utilities Problem

5. Six degrees of Separation

6. Map Coloring​

Mathematical Timeline

1. Mathigon and Long term Student Project

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

3. Numbers' Book

Math-Magic

1. Top and Bottom (Three fair die),

2. Always 34

3. Pick a number

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. Lattice Squares

5. HIP game by Martin Garner

Pascal Triangle

1. A detailed Investigation on Pascal Triangle 

2. ​Algebra

3. Combination Activity - Paths on Grid

4. Probability and Galton Board

Probability and Statistics

1. Array Diagrams and Probability

2. Factorials Activity

3. Combination Lock

4. Birthday Paradox

5. The Monty Hall Problem

6. Predictions lead to Data Science

7. Misleading Graphs 

8. Sicherman Dice

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​

1. String Art

2. Spirographs​

3. Curves of Pursuit

4. Tessellation

5. Pentagonal tessellations

6. Escher’s Art

7. 17 Symmetry Groups 

8. Rep-tiles

9. Spidrons and John Edmark

10. The Impossible Shapes​

11. The Ambiguous Shapes​

12. The art of Anamorphic Illusion​

13. Vedic Mathematics​

14. Hexadecagon Tiles

15. Flextangles

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Fractals

1. Fractal Slides

2. How long is a coastline?

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

4. Koch Snowflake and Perimeter Calculations​

5. Dragon Curve

6. Menger Cube

Origami

1. Folding to create plane figures 

2. Folding for geometrical constructions

3. Creating 3D Solids

4. Solar Panels of the Spaceships

GAMES

1. Tangrams

2. Toothpick Puzzles

3. The game of Nim

4. John's Conway's Game of Life 

5. Puzzles

TECH CORNER:

1. Basics of GeoGebra

2. Basics of DESMOS

3. Geometric Constructions w/ EUCLIDEA

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