Okay I might get a bit ranty here and I'm sorry, but this is something I've dealt with and honestly care about DEEPLY. My focus is mostly mathematics, but being in an elementary classroom for the past two years taught me a lot. Not just about how kids learn, but also how restricted teachers are in what and how they can approach a subject.

(A bit of a jab at the administration at schools) These assumptions assume that the money for the school system is not getting sucked away by administrative overhead, and instead is being given directly to the instructors.

I want kids to explore an idea fully. This means getting rid of other mathematics in favor of learning them more later. During the half year, the kids should be exploring the ideas and prompted for questions (Why can't we subtract from a smaller number? Can a shape be the same shape if the number of sides change?)

Kindergarden:

First half: Shapes and simple geometry

    Names of shapes
    How many sides

Second half:

    Counting
    Count as high as possible during the year
    Count backwards and forwards
    Can tell which numbers are bigger/smaller

1st grade:

First half: Addition and subtraction

    Adding and subtracting numbers with objects
    Introduction to the idea that the smaller number is subtracted from a bigger number
    Introduction to 2 - 3 and nth size subtraction and addition

Second half:

   Problem solving using addition
   Problem solving using subtraction

2nd Grade:

First half:

    Multiplication
    How to use addition to find multiplication
    Multiplication in 2-3 or nth number sets
    Introduction to fractions and multiplication
    

Second Half:

   Multiplication and geometry
   Finding area of shapes
   Finding number of objects in a set using multiplication
   Introduction to Fractions and division

3rd Grade

First half:

    Division
    We learn about division as a "breaking up" of many objects, the inverse of multiplications "adding up"
    Long division

Second half:

   Division and fractions
   Fractions in shapes
   Adding subtracting fractions

4th Grade:

First half:

    Simple algebra (find "x")
    Using multiplication and division to inverse each other

Second half:

    Graphing (making, and reading graphs of all different kinds)

These were just off the top of my head, needless to say the way mathematics is approached now (and pretty much always) has been a mess of "Here is some stuff to memorize, if you don't get it, it's probably cause you're dumb" (NOTE: No teacher I have ever met would call a child dumb, nor would they think of a child as dumb, but they are restricted by a system which makes us dumb) also, this isn't "Math all day" this is just during the math period, you can't be well rounded by just doing math, you'll just end up flat.

Okay now that I've got my ranting out of the way here are some other things:

It's okay to be wrong sometimes.

In this subject we learn about what being wrong means and why we can't always be right. We learn that if we are wrong, we simply correct ourselves and how to be lenient to others who are correcting themselves being wrong.

Music

In this subject, you bring some music to class that you'd like to share with a friend and share a pair of headphones then write about how it makes you feel, why you decided to share it (etc)

Community

In this subject, the kids can go to a special needs classroom in the school and play with or read to the students in that classroom. [ This brought back a memory I might post about later, making me tear up a bit] We learn that people are different and some people need help. We learn that involving ourselves helps everyone.

Reading

Reading is covered pretty well in school I think, but one thing I would like is "Enjoying books, even when you hate the book" learning to enjoy the reading, not just the story you are reading.

History/Social Studies

This is a class where we devote more than one month to the important people from history who were not white. We teach about the great struggles of people who have been oppressed and how we can avoid doing this in the future.

Thanks for posting this @blackboots, I love contemplating this stuff! I really like reading the other comments too, I especially like the idea of a foreign language. I would love it if a foreign language of a Native American language were included (Such as inupiaq or even more southern languages).

I am really not one for teaching so called "practical skills" in school, parents should be more involved in those activities, and the school should support them if they need help.