A standard progression of learning algorithms would be to do basic searching (ie, implement a hash table, a binary tree, a heap, a splay tree, a trie, a balanced binary tree) and then sorting and then basic graph theory (ie, learn how to turn a directed graph into a minimum-cost spanning tree, or to find the shortest path from A to B).
If you've got searching, sorting, and graph traversal and reduction down, you're already better than 60% of working programmers, and you'll also have a really good idea where you want to go next.
Don't look for kid-centered resources (you don't need any math at all to get as far as I'm talking abot in CS), but do think about kid-centered projects.
The Wikipedia pages for most of those algorithms are as good as the material you'll get in books.
Since you're 15 and you don't know what you don't know and you don't have to worry about how marketable your skills are, consider learning C. I started coding in C (we didn't have Javascript when I started); my friends who were smarter than me not only coded in C as young teenagers, but write protected mode kernels in it so they could run their 3D engines under MS-DOS. Another nice benefit of starting in C: just getting basic stuff working, like reading in a file and spitting out the lines that match a string, will feel like an accomplishment. Node.js does so much for you that it's easy to take for granted how much you're actually getting accomplished with each line of code you write. You won't have that problem with C. Also you'll know how to use a debugger.
15-18 is kind of a magical run of years for teaching yourself stuff, before the world gets in the way and starts to establish boundaries for you. Try to get to college having written a compiler.
Source: I'm a 17 year old CS student
Say you want to have a text box that autocompletes? How can you make this really fast over a network connection?
Also you are not really a kid at 15 btw!
But seriously, used bookstores and the library are a great start look for classics such as Knuth Art of Computer Programming. Also check with the college course catalogs and see what CS classes are using as textbooks.
Coursera.com Udacity.com Teamtreehouse.com
CS1 - http://www.youtube.com/course?list=EC6B940F08B9773B9F
CS2 - http://www.youtube.com/course?list=ECE621E25B3BF8B9D1
CS3 - http://www.youtube.com/playlist?list=PLC3E93EF6B9645D9D
For a more read-your-own self study, HTDP is pretty amazing too: http://www.ccs.neu.edu/home/matthias/HtDP2e/