Interesting Maths Topics

Hello everyone. I'm going to be running a maths club when I go back to college (in September), so has anyone got any suggestions for interesting (but, not overly complicated) maths topics that I could cover? Any ideas would be great, thanks :)

#Algebra #Geometry #Combinatorics #NumberTheory #Calculus

Easy Math Editor

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Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

It is a great expirience open a math club in your school, congrats! I won't recomend you a certain topic because all topics could be interesting. Instead of I suggest search beauty problems which impulse them developing creativity. Also try to show them surprising solutions in order to keep them interested and without boring.

Some topics are: -Pascal triangle and Newton's binom -Polynoms -Vieta's formulas -Medians -Constructions(geometry) -Clever manipulations (algebra) -Counting of two ways -Coloring on boards -Game strategies (tic-tac-toc, timbiriche, four in a row)

Paola Ramírez - 5 years, 10 months ago

Calculus and geometry

Clinton Kelly - 5 years, 10 months ago

Anything in particular. I am currently thinking of doing complex numbers with geometry, fractals, Gabriel's Horn, proof of the Fundamental Theorem of calculus etc...

Curtis Clement - 5 years, 10 months ago

Gabriel's horn is very interesting but a little complex.I would choose complex numbers with geometry and proving fundamental theorem of calculus at first but take more complex topics later

Clinton Kelly - 5 years, 10 months ago

How about the topic covered by this note?

Constructible Regular Polygons

It's a great tie-in for a wide range of subjects in mathematics, including Galois Theory. You mentioned "complex numbers with geometry", right?

Michael Mendrin - 5 years, 10 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$