Through the Living Math Yahoo Group, I got this list for the typical courses of study for various grade levels. In each grade level link, there’s a list of math concepts.

Since daughter is two, I immediately clicked on the preschool link. I was a little offended to find such a long reading list and no list titled, “Math.”

And then I read the list. In almost every line I found math concepts!

If you teach your little one these things on this list, check out the advanced math they will also be getting!

*(Note: my comments are italicized.)*

### Size

- Understands big and little.
olume comparisons.*This preschool math concept sets them up for v* - Understands long and short.
*This one gets them ready for length comparisons**.* - Matches shapes or objects based on size.
*Forerunner to inscribing shapes in other shapes, dissecting shapes to understand area formulas, etc. Also getting them ready for pattern recognition.*

### Colors and Shapes

- Recognizes and names primary colors.
*This preschool math concept is the b*eginning of pattern recognition. - Recognizes circles.
*Getting ready for the idea of a shape with no sides and a shape with infinite sides.(whoa!)* - Recognizes rectangles.
*Setting up for all sorts of area formulas – since just about every regular shape can be made into a rectangle with scissors and glue.* - Matches shapes or objects based on shape.
*The math concepts here get them ready for t*he geometric concept of similar and even more pattern recognition. - Copies shapes.
*Kinesthetically understanding concepts of geometry. This one also helps them get ready for pattern recognition – or making their own patterns!*

### Numbers

- Counts orally through 10.
*This is less of a preschool math concept and more of a “you just really gotta know this” concept – kinda like the alphabet.* - Counts objects in one-to-one correspondence.
*One-to-one correspondence is a huge and important concept in algebra.* - Understands empty and full.
*Volume comparisons as well as the grouping of objects to fill a volume.* - Understands more and less.
*The foundation of ordering numbers and understanding relations.*

### Position and Direction

- Understands up and down.
*Forerunner of the number line.* - Understands in and out.
*This preschool math concept gets them into early set theory.* - Understands front and back.
*More number line stuff.* - Understands over (on) and under.
*The math concepts here get them ready for setting up fractions.* - Understands top, bottom, middle.
*Standard preschool readiness and also the basics of ordering.* - Understands beside and next to.
*Gets them ready to multiply a number by a variable by just standing the number***next to**the variable: 3x means 3 times x. - Understands hot and cold.
*Getting ready to measure temperature.* - Understands fast and slow.
*Getting ready to measure speed as well as rates.*

### Time

- Understands day and night.
*This preschool math concept gets them**ready to expand into bigger and bigger time units – which will allow them to eventually understand the ideas of infinity and infinitely small. Curiously, this is also pattern recognition – every day you get day and every day you get night!* - Knows age and birthday.
*This seems to be another “good to know” thing. However, it is another forerunner to big time units.*

### More…

There are many more preschool math concepts that can be spun off from the other lists, like Reading and Social-Emotional Development. I’ll be writing up how to integrate math in those in a few days!

Am I missing anything? Let me know in the comments.

###### Related articles

This post may contain affiliate links. When you use them, you support us so we can continue to provide free content!