Grade K Common Core Standards for
Mathematics
The Common Core State Standards provide
a consistent, clear understanding of what students are expected
to learn, so teachers and parents know what they need to do to
help them. The standards are designed to be robust and relevant
to the real world, reflecting the knowledge and skills that our
young people need for success in college and careers. With
American students fully prepared for the future, our communities
will be best positioned to compete successfully in the global
economy. 
In Kindergarten, instructional time should focus on two critical areas:
(1) representing and comparing whole numbers, initially with sets of
objects; (2) describing shapes and space. More learning time in
Kindergarten should be devoted to number than to other topics.

1. Students use numbers, including written numerals, to represent
quantities and to solve quantitative problems, such as counting
objects in a set; counting out a given number of objects; comparing
sets or numerals; and modeling simple joining and separating
situations with sets of objects, or eventually with equations such
as 5 + 2 = 7 and 7 – 2 = 5. (Kindergarten students should see
addition and subtraction equations, and student writing of equations
in kindergarten is encouraged, but it is not required.) Students
choose, combine, and apply effective strategies for answering
quantitative questions, including quickly recognizing the
cardinalities of small sets of objects, counting and producing sets
of given sizes, counting the number of objects in combined sets, or
counting the number of objects that remain in a set after some are
taken away.

2. Students describe their physical world using geometric ideas
(e.g., shape, orientation, spatial relations) and vocabulary. They
identify, name, and describe basic twodimensional shapes, such as
squares, triangles, circles, rectangles, and hexagons, presented in
a variety of ways (e.g., with different sizes and orientations), as
well as threedimensional shapes such as cubes, cones, cylinders,
and spheres. They use basic shapes and spatial reasoning to model
objects in their environment and to construct more complex shapes.
Grade K Overview

Counting and Cardinality

Know number names and the count sequence.

Count to tell the number of objects.

Compare numbers.

Operations and Algebraic Thinking

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

Number and Operations in Base Ten

Work with numbers 1119 to gain foundations for place value.

Measurement and Data

Describe and compare measurable attributes.

Classify objects and count the number of objects in each
category

Geometry

Identify and describe shapes.

Analyze, compare, create, and compose shapes.

Mathematical Practices

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of
others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.