In mathematics, a set of numbers or objects is said to be in ascending order if they are arranged from the smallest to the largest.

For example, if we have the numbers 3, 1, 5, and 2, we can arrange them in ascending order as 1, 2, 3, 5.

To arrange a set of numbers in ascending order, you can use the following steps:

- Compare the first two numbers. If the first number is smaller than the second number, leave them as they are. If the first number is larger, swap the positions of the two numbers.
- Move to the next pair of numbers and repeat the comparison and swapping if necessary.
- Continue this process until all numbers are arranged in ascending order.

Ascending order is commonly used when ordering numbers, arranging items by size or value, and solving problems in mathematics and other fields.

Understanding ascending order is important for young learners as it helps them develop their number sense and logical thinking skills.

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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]