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knowing the relationship between numbers.

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an understanding of how numbers work together

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Recognizing and understanding the value of a number. 

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Recognizing and understanding the value of a number. 

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The ability to understand and become familiar with numbers to understand values, creating other numbers with a variety of operations, and understanding mental math as more than just fluency but creating strategies to enhance understanding!

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understanding the value of a number

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looking at numbers in a variety of ways to help understand the  value of the number

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looking at numbers in a variety of ways to help understand the  value of the number

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acquired over time through natural learning experiences and applied to new situations to solve problems.

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Ability to handle number in your head without fingers or toes

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Identifying the number
Counting on
Cardinality

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various ways of recognizing numbers and various ways of how to create/make numbers

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a child's ability to manipulate number and know the numbers

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.... the ability to conceptualize numbers in a variety of ways so that we can think of numbers as units rather than just a part of a math problem.