Your IHIP is just an outline of what you MAY study.  Most people use a generic one based upon (I think) some encyclopedia's contents.....and then just do whatever over the course of the year.  I tell my educrat we've covered.....everything they say we need to cover.

Here is the link to all of my NY paperwork over the years.  Feel free to borrow/steal whatever you like - after all I got my first IHIP from another NY homeschooler (http://homeschoolinginnewyorkcity.blogspot.com/).

https://drive.google.com/folderview?id=0B6kUXvPYaUDrbGtDOXlla2htTnc&usp=sharing

I think when we started out we were using Time4Learning....which has a handy "full curriculum" page I included in my quarterly reports.

Dan

You don't need a curriculum.  But I understand you want something solid to work off.  Trust me, in 2 years you will look back and chuckle.  Some phonics books ("Explode the Code"?), a math program (IXL.com or KhanAcademy.com),.....lots of reading for science and history (biographies) supplemented by all the wonderful homeschooling museum and nature preserve trips around NYC - which I believe in many ways is the best place in the world to homeschool!  Personally I'm a big advocate of chess and piano too.  Best, Dan

I've heard people say NOT to promote early reading for the ridiculous reason that "they'd be bored when starting school".  And I've heard this more than a few times too!

We did math everyday from age 3.5 on.   My son started algebra at 5, calculus at 7.  For mental math I suggest "left to right" computation and the book "Secrets of Mental Math" by Arthur Benjamin (available at most libraries).  Here are the results:

https://www.youtube.com/watch?v=XwinA3M1xyk