These are typical concepts that Juniors class children explore in school, but should not be required to master before entering Kindergarten. Children learn these concepts at their own pace. What is learned in Pre-K is considered a "bonus". Children are taught with hands-on materials, songs, and games. They are assessed by observation and work samples.
Math
Matching: objects, symbols, shapes, patterns, etc.
Same and Different
Sorting by various attributes: color, shape, size
Patterns: AB, AABB, ABC, and possibly AAB, ABB
Identify numerals 1−10 or more
Counting objects to 10 or more
One-to-one correspondence of objects when counting