There are any design-patterns how to implement Chart library?

I would like to take part in Telegram contest. And I need to implement Chart library from scratch, in particular for iOS platform and I cannot use 3rd party libraries.

An example of the chart is below. As you can see, this chart is scrollable, so base view should be UIScrollView, other elements I can implement by CoreGraphics, but I don't know how to do it scalable and resizable.

I guess, creating Chart library is problem which was solved many times, so maybe there are any patterns and methods or even books, how I can design and implement such chart.