United States · Common Core State Standards
Kindergarten Mathematics
A comprehensive introduction to the world of numbers and shapes through hands-on exploration and logical reasoning. Students develop deep number sense and spatial awareness by connecting abstract concepts to their physical surroundings.

Numbers in Our World
Students explore the concept of quantity by counting objects and understanding the relationship between numbers and sets.
Moving beyond rote memorization to understand that each number name refers to exactly one object.
Using matching and counting strategies to identify whether one group is greater than, less than, or equal to another.
Connecting numerals to the physical quantities they represent from zero to twenty.

Building and Breaking Numbers
An introduction to algebraic thinking through the composition and decomposition of numbers within ten.
Understanding addition as the process of joining two or more sets of objects.
Exploring subtraction as taking apart sets and finding the difference between quantities.
Developing an early understanding of place value by anchoring numbers to the number ten.

The Language of Shapes
Students identify, describe, and compare two dimensional and three dimensional shapes in various orientations.
Distinguishing between two dimensional circles, squares, and triangles, and three dimensional spheres and cubes.
Identifying geometric figures within the environment and using positional language to describe them.
Composing simple shapes to form larger, more complex geometric figures.

Measuring and Sorting
Comparing measurable attributes of objects and classifying data into categories.
Directly comparing two objects with a measurable attribute in common.
Classifying objects into categories and counting the number of objects in each category.
Using graphs and charts to represent information collected from the classroom.