one-to-one correspondence - each object counted is matched accurately with a number word in correct sequence, conservation of set - the same number of objects are counted and then rearranged, the quantity of objects in that set does not change, cardinality - the last counting number identified represents the number of objects in the set, hierarchical inclusion - concept of nested numbers, meaning each prior number in the counting sequence is included in the set as the set increases, tagging with synchrony - when one object is touched it is matched with the correct word, cardinal number - a number that names the quantity of objects in a set, subitizing - the ability to name the number of objects in a set without counting but rather by identifying the arrangement of objects, number sense - an awareness and understanding about what numbers are, their relationships, their magnitude and the relative effect of operating on numbers (including mental math and estimation), number fluency - knowing how a number can be composed and decomposed then using that information flexibly and efficiently, Making Tens - the link to understanding place value and our system of tens,

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