Kindergarten Math Kansas standards Standards

Analyze, compare, create, and compose shapes.

Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).

Geometry

Classify objects and count the number of objects in each category.

Describe and compare measurable attributes.

Measurement and Data

Work with numbers 11–19 to gain foundations for place value.

Number and Operations in Base Ten

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

Operations and Algebraic Thinking

Compare numbers.

Count to tell the number of objects.

Know number names and the count sequence.

Counting and Cardinality

Standards for Mathematical Practice

Count to 100 by ones and by tens and identify as a growth pattern.

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

Read and write numerals from 0 to 20.

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

When counting objects, say each number's name in sequential order, pairing each object with one and only one number name and each number name with one and only one object.

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.

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

Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects).

Count to answer "how many?" up to20 concrete or pictorial objects arranged in a line, a rectangular array, or a circle, or as many as 10 objects in a scattered configuration (subitizing); given a number from 1 to 20, count out that many objects.

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.

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

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.

Correctly gives most precise name of shapes regardless of their orientations (position and direction in space) or overall size.

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

Analyze and compare two- and three-dimensional shapes, in different sizes and orientations (position and direction in space), 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).

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

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

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

Directly compare two objects, with a measureable attribute in common, to see which object has "more of"/"less of" the attribute, and describe the difference.

Classify objects into given categories; count the numbers of objects in each category and sort the categories by count (Limit category counts to be less than or equal to 10).

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. 10 + 8 = 18 and 19 = 10 + 9); ); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.

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

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

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 )).

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.).

Fluently (efficiently, accurately, and flexibly) add and subtract within 5.

Make sense of problems and persevere in solving them.

Reason abstractly and quantitatively.

Construct viable arguments and critique the reasoning of others.

Model with mathematics

Use appropriate tools strategically

Attend to precision.

Look for and make use of structure.

Look for and express regularity in repeated reasoning.