In mathematics, "less than" is a comparison between two numbers. It is represented by the symbol < (less than sign).

When comparing two numbers, if the number on the left is smaller than the number on the right, then we say that the left number is "less than" the right number.

3 < 5

In this example, 3 is less than 5 because 3 is smaller than 5.

It's important to note that the "less than" comparison is directional. In the example above, if we reverse the numbers and compare 5 with 3, then 5 is not less than 3, and we would write it as: 5 > 3 (5 is greater than 3).

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Counting and Cardinality

Know number names and the count sequence.

Count to 100 by ones and by tens. [K-CC1]

Count forward beginning from a given number within the known sequence (instead of having to begin at 1). [K-CC2]

Count to tell the number of objects.

Understand the relationship between numbers and quantities; connect counting to cardinality. [K-CC4]

Understand that each successive number name refers to a quantity that is one larger. [K-CC4c]

Compare numbers.

Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. (Include groups with up to ten objects.) [K-CC6]

Operations and Algebraic Thinking

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [K-OA1]

Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [K-OA2]

Fluently add and subtract within 5. [K-OA5]