Counting & Cardinality
Count to 100 by ones and tens
Count to 100 by ones and by tens.
Count forward from a given number
Count forward beginning from a given number within the known sequence (instead of having to begin at 1).
Write numbers from 0 to 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).
Connect counting to cardinality
Understand the relationship between numbers and quantities; connect counting to cardinality.
Count 1 to 20 things
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.
Compare number of 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.
Compare numbers between 1 and 10
Compare two numbers between 1 and 10 presented as written numerals.
Operations & Algebraic Thinking
Add and subtract with things
Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.
Word problems to add and substract
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 into 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).
Sums equal to 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.
Add and subtract within 5
Fluently add and subtract within 5.
Number & Operations in Base Ten
Foundations for place value
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 & Data
Measurable attributes of objects
Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object.
Compare using a measurable attribute
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.
Classify objects into categories
Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.
Names and positions of objects
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.
Various orientations and sizes of shapes
Correctly name shapes regardless of their orientations or overall size.
Two and three dimensional shapes
Identify shapes as two-dimensional (lying in a plane, "flat") or three-dimensional ("solid").
Analyze and compare 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).