Academic standards list

Kindergarten — Mathematics


Academic standards define the expectations for knowledge and skills that students are to learn in a subject by a certain age or at the end of a school grade level. This page contains a list of standards for a specific content area, grade level, and/or course. The list of standards may be structured using categories and sub-categories.

Counting and Cardinality

Know number names and the counting sequence.
Count to 100 by ones, fives, and tens. Count backward from 10.
Count forward beginning from a given number within the known sequence (instead of having to begin at 1).
Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20.
Count to tell the number of objects.
Understand the relationship between numbers and quantities; connect counting to cardinality.
     There are 3 components within this standard.
Count to answer how many? questions about as many as 20 things arranged in a line, a rectangular array, a circle, or as many as 10 things in a scattered
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.
Compare two given numbers up to 10, when written as numerals, using the terms greater than, less than, or equal to.

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, acting out situations, verbal explanations, expressions, or
Add and subtract within 10 to solve contextual problems using objects or drawings to represent the problem.
Decompose numbers less than or equal to 10 into addend pairs in more than one way (e.g., 5 = 2 + 3 and 5 = 4 + 1) by using objects or drawings. Record each
Find the number that makes 10, when added to any given number, from 1 to 9 using objects or drawings. Record the answer using a drawing or writing an equation.
Fluently add and subtract within 10 using mental strategies.

Number and Operations in Base Ten

Work with numbers 11- 19 to gain foundations for place value.
Compose and decompose numbers from 11 to 19 into ten ones and some more ones by using objects or drawings. Record the composition or decomposition using a

Measurement and Data

Describe and compare measurable attributes.
Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object.  
Directly compare two objects with a measurable attribute in common, to see which object has more of/less of the attribute, and describe the difference. For  
Work with money.
Identify the penny, nickel, dime, and quarter and recognize the value of each.  
Classify objects and count the number of objects in each category.
Sort a collection of objects into a given category, with 10 or less in each category. Compare the categories by group size.  


Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
Describe objects in the environment using names of shapes. Describe the relative positions of these objects using terms such as above, below, beside, in  
Correctly name shapes regardless of their orientations or overall size.  
Identify shapes as two-dimensional or three-dimensional.  
Analyze, compare, create, and compose shapes.
Describe similarities and differences between two- and three-dimensional shapes, in different sizes and orientations.  
Model shapes in the world by building and drawing shapes.  
Compose larger shapes using simple shapes and identify smaller shapes within a larger shape.  
♦  Academic Standards marked with a diamond are "Supporting Content" within the grade level or course.
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