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Modules - Grade Prekindergarten

Prekindergarten mathematics is about—

  • Developing an understanding of whole numbers using concrete materials, including concepts of correspondence, counting, cardinality, and comparison; and
  • describing shapes in their environment.  More learning time in Pre-Kindergarten should be devoted to developing the concept of number than to other topics.
  • In preparation for Kindergarten, a helpful resource is Khan Academy's Early Math > Counting.


Module 1 capitalizes on the energy and excitement young students have as they enter their first day of Pre-K by providing a playful and active yet carefully sequenced structure through which children progress. In this module, we set up a friendly learning environment in which children have sustained interaction with four core ideas, collectively referred to as the number core: rote counting (the number word list), one-to-one correspondence (one object paired with one number word), cardinality (how many in a set), and written numerals. Throughout the module, children have experiences that help them make critical connections between these four understandings.

Tips for Parents: Topics A-D Topics E-H


In Module 2, in the context of classroom play, children learn to identify, describe, sort, compare, and create two-dimensional (2-D) and three-dimensional (3-D) shapes and objects. Children develop vocabulary to describe the relative position of objects (e.g., top, bottom, up, down, in front of, behind, over, under, and next to), building foundational spatial reasoning abilities. In Module 1, students developed an understanding of numbers to 5. In Module 2, students practice these counting skills in the context of geometry (counting sides, corners, a group of triangles, etc.).

Tips for Parents: Topics A-C  


Module 3 challenges students to build on their work with numbers through 5 to make sense of and count groups of 0, 6, 7, 8, 9, and 10 objects. Students also continue their work with the number core in the following ways (PK.CC.1–4):

  • Rote counting (the number word list up to 15)

  • One-to-one correspondence (one object paired with one number word from 0 to 10)

  • Cardinality (how many in a set of up to 10 objects)

  • Number recognition (matching written numerals 0, 6, 7, 8, 9, and 10 to quantities)

Throughout the module, children participate in engaging experiences that help them make critical connections between these four understandings.

Tips for Parents: Topics A-D Topics E-H


In the first half of this module, students identify measurable attributes of objects in terms of length, weight, and capacity. Students learn words such as small, big, short, tall, empty, full, heavy, and light so that they will have the vocabulary needed to describe objects (PK.MD.1). The comparison of length, weight, and capacity naturally leads to discussions about quantity and number. In the second half, measurement is connected to quantity as students reason if there are enough, more than, less than, or the same number of objects in a set using matching and counting strategies (PK.CC.5). Comparing concrete sets leads to comparing quantities and abstract numbers.Children will also focus on identifying first and last in quantities up to 5 and 10 in different configurations (PK.CC.6).

Tips for Parents: Topics A-C Topics D-G


Module 5 is the culmination of children’s work with number in the Pre-K year.  Throughout Modules 1 and 3, they had extensive counting experiences with numbers 0–10. In Module 4, they examined the relationships between numbers 1–5 through comparison. In Module 5, children transition from the comparative concept of more (4 apples is more than 1 apple) to the concept of addition (3 apples and 1 more apple make 4 apples). They are ready to begin work with operations, focusing on addition and subtraction stories with numbers 1 to 5. Students will also learn to write numerals 0-5 and explore patterns in this final module.

Tips for Parents: Topics A-C Topics D-F
Content thanks to Eureka Math and to Engage New Yorknysed