California Mathematics Learning Standards — Grade K

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K.CC1

Count to 100 by ones and by tens

K.CC2

Count forward beginning from a given number within the known sequence (instead of having to begin at 1)

K.CC3

Write numbers from 0 to 20. Represent a number of objects with a written numeral 020 (with 0 representing a count of no objects)

K.CC4

Understand the relationship between numbers and quantities; connect counting to cardinality

K.CC4a

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.

K.CC4b

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.

K.CC4c

Understand that each successive number name refers to a quantity that is one larger.

K.CC5

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.1

K.CC6

Compare two numbers between 1 and 10 presented as written numerals.

K.G1

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

K.G2

Correctly name shapes regardless of their orientations or overall size.

K.G3

Identify shapes as two-dimensional (lying in a plane, flat) or three-dimensional (solid).

K.G4

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).

K.G5

Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.

K.G6

Compose simple shapes to form larger shapes. For example, Can you join these two triangles with full sides touching to make a rectangle?

K.MD1

Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object.

K.MD2

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

K.MD3

Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.3

K.NBT1

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 (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.

K.OA1

Represent addition and subtraction with objects, fingers, mental images, drawings,2 sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.

K.OA2

Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

K.OA3

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).

K.OA4

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

K.OA5

Fluently add and subtract within 5.