South Dakota Pre-Kindergaten Math Standards

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PK.1 Number Sense and Operations

• PK.1.1 Count by ones to 10 and higher.
• PK.1.2 Count the number of items in a group of up to 10 objects and know that the last number tells how many.
• PK.1.3 Verbally count backward from 5.
• PK.1.4 Look at a group of up to 4 objects and quickly see and say the number of objects.
• PK.1.5 Recognize and name numerals 1 to 5.
• PK.1.6 Compare two groups (containing up to 5 objects each) and describe them using comparative words, such as more, less, fewer, or equal.
• PK.1.7 Use and understand the terms first, last, and first through fifth.
• PK.1.8 Separate a collection of 10 items into 2 equal groups.
• PK.1.9 Give up to 5 items when requested.

PK.2 Shapes/Geometry

• PK.2.1 Recognize and name circle, triangle and rectangle (which includes square).
• PK.2.2 Build and describe two-dimensional shapes, such as making circles and triangles with blocks and play dough.
• PK.2.3 Recognize that a shape remains the same shape when it changes position.
• PK.2.4 Sort and match objects with the same shape and size, and lay an object of the same shape and size on top of another to show they are the same.
• PK.2.5 Make a picture by combining shapes.
• PK.2.6 Take a shape apart (decompose) to make new shapes, such as finding two triangles in a square.
• PK.2.7 Demonstrate and begin to use the language of the relative position of objects in the environment and play situations, such as up, down, over, under, top, bottom, inside, outside, in front, behind, between, next to.
• PK.2.8 Create two-dimensional shapes and three-dimensional structures that have symmetry.

PK.3 Measurement

• PK.3.1 Compare length and other attributes of objects, using the terms bigger, longer, and taller.
• PK.3.2 Compare two objects by placing one on top of another and indicate which object takes up more space.
• PK.3.3 Arrange objects in order according to characteristics or attributes, such as height.
• PK.3.4 Identify and use measurement tools, such as ruler, scales, measuring cups, thermometer, clock, and calendar.

PK.4 Making Sense of Data

• PK.4.1 Sort objects onto a large graph according to one attribute, such as size, shape or color.
• PK.4.2 Name the category that has the most, least, or the same on a large graph.
• PK.4.3 Gather information to answer questions of interest.

PK.5 Patterns/Algebra

• PK.5.1 Sort, classify, and order objects by size and other properties.
• PK.5.2 Identify simple patterns in the context of play or daily activities (such as “block, car, block, car”) and use patterns to describe relationships between objects (“car follows block”).
• PK.5.3 Predict, repeat, and extend a simple pattern in the context of play or daily activities (“dish, spoon, dish, spoon”).