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Counting & Cardinality

kcc1 Count to 100 by ones and by tens. kcc2 Count forward beginning from a given number within the known sequence (instead of having to begin at 1). kcc3 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). kcc4a Understand the relationship between numbers and quantities; connect counting to cardinality. kcc4b Understand the relationship between numbers and quantities; connect counting to cardinality. kcc4c Understand the relationship between numbers and quantities; connect counting to cardinality. kcc5 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. kcc6 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. kcc7 Compare two numbers between 1 and 10 presented as written numerals.

Operations and Algebraic Thinking

koa1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps], acting out situations, verbal explanations, expressions, or equations. koa2 Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. koa3 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). koa4 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. koa5 Fluently add and subtract within 5.

Number and Operations in Base Ten

knbt1 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.

Measurement and Data

kmd1 Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object. kmd2 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. kmd3 Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.

Geometry

kg1 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. kg2 Correctly name shapes regardless of their orientations or overall size. kg3 Identify shapes as two-dimensional (lying in a plane, "flat") or three-dimensional ("solid"). kg4 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). kg5 Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. kg6 Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?