An exploration of pi.
First, let's consider this page and picture. https://www.desmos.com/calculator/vj7ikaouvh
Let's try to approximate pi, using said picture.
Create a recursive formula....I used r to code this:
approx.pi<-function(x){
half=x/2
ad=sqrt(1-half^2)
de=1-ad
be=sqrt(de^2+half^2)
print(be)}
^^^ computer programming is figuring out what you want to do and making something else do it.
Next: function notation
difference between f(x)=2x+3 and y=2x+3
what is a function ("real definition")
let's make some functions and discuss their domain and range
let's talk about combining functions
let's talk about inverse functions and proving that order does in fact really matter.
the strange case of square and square root
let's plug functions into other functions. sounds fun.
Last: the rules of Zendo. More specifically, YOUR rules in Zendo.