Hello! Well the subject line has limited characters so I'll explain more in here as well a some introductions (new member here

).
So I started taking piano lessons from a teacher which plays the piano for around 20 years or something now, I think, I started around 2 years ago, and I continued for around 7 months, after that I went into a hiatus and practiced at home on and off.
During that time I gathered learning materials about Piano from the internet, like I usually do for other things, researching and taking all I can find and studying them to supplement my own, and absorb what is needed.
As of now though, I finally cleared my schedule so I can use a major part of my time everyday to practice and study regarding playing the piano.
I was wondering if any of you has any more books, and websites to add to my learning materials that should help me?
Right now I look for the ones that can help me strengthen my piano playing basics...
I'm still a newbie so I really don't know much regarding the "basics" I need to strengthen, umm, if it's not too much, can anyone also point out to me what are the basics I need to strengthen as well as some techniques I should practice in order for me to play them classical music, modern music (I lean more around them Japanese Songs like Vocaloid, anime music, game music and such too) and chord accompaniment (as a keyboardist in a band)? I would really appreciate it a lot as well.

Right now what I've learned so far is reading notes, I can read them but not that fast, I also can't sight read yet. And then the chords C Major, G7 and F Major, and then the C scale (and I feel that I need to learn more about these too) that's all right now, really. XD
BTW, I have these books so far:
-John Thompson's Easiest Piano Course books 1, 2 and 3. (my teacher uses these to teach me)
-A Dozen A Day by Edna Mae Burnam. (my teacher uses this as some sort of warmup before the practice)
-Sound's "You can play" book. (I told my teacher that I want to be in a band as a keyboardist, so she said I must study chords as well, and this is the book she chose)
Here is the website of the book:
www.soundpublishingcorporation.com (Can be found at Products>Organ Books>Product Lines>Sound You Can Play), I can't find any reviews online though, but it does lists and teaches a considerable amount of Chords.
These are the other ones I found from the internet:
-http://fastpianolessons.com/blog/crash-course-chords-101/
(password is: ilovepiano)
-http://pianofundamentals.com/book/en/chapter_1
As for the ones I found in the internet... what do you guys think? I read both positive and negative reviews on the Piano Fundamentals thingy, and I got kind of afraid that I might produce a bad habit in playing the Piano. DX
In any case, right now, I am planning on self studying and finishing John Thompson's Easiest Piano Course 3rd book, Sound You Can Play book, and A Dozen A Day book before going back to my teacher.
Might as well gather as many learning materials as I can that is being used by piano players more advanced than me. XD
Thank you so much in advance everyone.