The goal of kindergarten math curriculum is to prepare children for first grade math:
~ To count by rote at least to 20, but preferably a little beyond.
~ The concepts of equality, more, and less.
~ To count backwards from 10 to 0.
~ To recognize numbers.
~ To be able to write numbers.
~ To recognize basic shapes.
~ To understand up, down, under, near, on the side, etc. (basic directions).
~ To understand the concepts of addition and subtraction with small numbers.
~ Expose the student to two-digit numbers.
Once students have a basic familiarity with fractions, the next step is to understand how to compare fractions. Sometimes the concept of denominators takes a little time to grasp. Often students will confuse a larger denominator with a larger value for the fraction, when in reality the numerator, not the denominator, expressed the actual value being represented. The size of the numerator relative to the denominator is what ultimately describes the actual value of the fraction.