Kindergarten Math Standards
Model Shapes
Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.
Compare 2-D and 3-D Shapes
Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/"corners") and other attributes (e.g., having sides of equal length).
Measurable Attributes of Objects
Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object.
Decompose Numbers into Addition Pairs
Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).
Compose Shapes
Compose simple shapes to form larger shapes. For example, "Can you join these two triangles with full sides touching to make a rectangle?"
Identify 2-D and 3-D Shapes
Identify shapes as two-dimensional (lying in a plane, "flat") or three-dimensional ("solid").
Name Shapes of Varying Orientation and Size
Correctly name shapes regardless of their orientations or overall size.
Describe Objects Using Names and Position
Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to.
Count Forward
Count forward beginning from a given number within the known sequence (instead of having to begin at 1).
Compare an Attribute of Two Objects
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 example, directly compare the heights of two children and describe one child as taller/shorter.
Count Objects
Count to answer "how many?" questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1-20, count out that many objects.
Addition to Make 10
For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.
Write and Represent Numbers 0-20
Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects).
Represent Addition and Subtraction
Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.
Compare Groups by Counting
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.)
Classify Objects
Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.
Compare Two Numbers
Compare two numbers between 1 and 10 presented as written numerals.
Relationship Between Numbers and Quantities
Understand the relationship between numbers and quantities; connect counting to cardinality. A) When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. B) Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted. C) Understand that each successive number name refers to a quantity that is one larger.
Compose and Decompose Numbers
Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (such as 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.
Count to 100
Count to 100 by ones and by tens.
Alien Number Abduction: Count to 100
Addition and Subtraction Word Problems
Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
Fluently Add and Subtract Within 5
Fluently add and subtract within 5.