These tasks are grade-level formative performance assessment tasks aligned to the Common Core State Standards for Mathematics. Some have accompanying scoring rubrics and discussion of student work samples. Others, such as the Dana Center Early Mathematics Tasks, connect to children’s literature.

You may download and use these tasks for professional development purposes without modifying the tasks.

The tasks below are arranged by grade level. To search for tasks by mathematical strand or to see information about alignment to specific standards, use the "shortcuts" field at the top of the page, or visit the Common Core mathematical content standards page.

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**K.CC.1**

Count to 100 by ones and by tens.

**K.CC.2**

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

*Problems of the Month*

*Dana Center Early Math Tasks*

**K.CC.3**

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).

*Problems of the Month*

*Dana Center Early Math Tasks*

**K.CC.4**

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

*Problems of the Month*

*Dana Center Early Math Tasks*

**K.CC.5**

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.

*Problems of the Month*

*Dana Center Early Math Tasks*

**K.CC.6**

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.

*Problems of the Month*

*Dana Center Early Math Tasks*

**K.CC.7**

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

*Problems of the Month*

*Dana Center Early Math Tasks*

**K.OA.1**

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

*Problems of the Month*

*Dana Center Early Math Tasks*

**K.OA.2**

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

*Problems of the Month*

*Dana Center Early Math Tasks*

**K.OA.3**

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).

*Problems of the Month*

*Dana Center Early Math Tasks*

**K.OA.4**

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.

*Problems of the Month*

*Dana Center Early Math Tasks*

**K.OA.5**

Fluently add and subtract within 5.

*Dana Center Early Math Tasks*

**K.MD.1**

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

*Problems of the Month*

**K.MD.2**

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.

*Problems of the Month*

**K.G.1**

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.

*Problems of the Month*

**K.G.2**

Correctly name shapes regardless of their orientations or overall size.

**K.G.3**

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

*Problems of the Month*

**K.G.4**

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).

*Problems of the Month*

**K.G.5**

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

*Problems of the Month*

**K.G.6**

Compose simple shapes to form larger shapes.

*Problems of the Month*

**K.NBT.1**

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.

*Dana Center Early Math Tasks*