IXL's pre-K skills will
be aligned to the North Dakota Pre-Kindergarten Content Standards soon!
Until then, you can view a complete list of
Be sure to check out the
math practice problems in IXL's
PK.MTH.1 Students understand counting and cardinality.
PK. Number Names and the Count Sequence
PK.MTH.1.1 Demonstrate an understanding that numbers are always in the same order: 1, 2, 3 (stable order counting principle), and that the order when counting objects does not affect the total (order irrelevance counting principle).
PK.MTH.1.1.a Recite numbers in the correct order up to 20.
PK.MTH.1.1.b Demonstrate ability to state the number that comes next up to 9 or 10.
PK.MTH.1.1.c Recognize that one can count a row from left to right or right to left.
PK.MTH.1.2 Use number names with written numerals.
PK.MTH.1.2.a Recognize and name writing number symbols from zero through 10.
PK.MTH.1.2.b Point to and name written numerals to 10.
PK.MTH.1.3 Relates numbers and quantities to the everyday environment.
PK.MTH.1.3.a Answer questions about how many objects or people.
PK.MTH.1.3.b Count body parts, stairs, and other things in the environment.
PK.MTH.1.3.c Point to objects while counting.
PK. Count Objects
PK.MTH.1.4 Demonstrate understanding of one-to-one correspondence between objects and numbers.
PK.MTH.1.4.a Assign one, and only one, number word to each counted object 1 to 10.
PK.MTH.1.4.b Count objects and materials (e.g., napkins for snack time).
PK.MTH.1.5 Name the number of items in a small set without counting each object (perceptual and conceptual subitizing)
PK.MTH.1.5.a Identify sets up to 5 (e.g., fingers, blocks, objects) without counting the individual items.
PK.MTH.1.5.b Identify particular patterns of small numbers on die or dominos without counting the individual dots.
PK. Compare Numbers
PK.MTH.1.6 Demonstrates ability to compare quantities of objects.
PK.MTH.1.6.a Compare quantities in two sets of objects and describe the comparison with terms, such as more, less, or the same.
PK.MTH.1.6.b For more than/less than relations with totals ≤ 5, act out or show situation.
PK.MTH.2 Students begin to develop an understanding of operations and algebraic thinking.
PK. Addition as adding to, and subtraction as taking from
PK.MTH.2.1 Recognize that the number of objects can change when they are added or taken away from a group.
PK.MTH.2.1.a Find the sum when joining two sets of objects.
PK.MTH.2.1.b Place 10 or fewer objects into groups and recognize the change in quantity.
PK.MTH.2.2 Use objects to solve simple addition (e.g., joining; combining two parts to make a whole) and subtraction (e.g., separating) problems within 5.
PK.MTH.2.2.a Demonstrate understanding of "add to" problems (i.e., change plus), such as two blocks and two blocks make four blocks.
PK.MTH.2.2.b Demonstrate understanding of "take from" problems (i.e., change minus), such as four apples take away one apple is three apples.
PK.MTH.2.2.c Recognize the solution to put-together and take-apart problems, such as seeing that three apples is the same as two apples and one apple.
PK.MTH.2.2.d Identify the partners for 3 (2 and 1).
PK.MTH.2.2.e Identify the partners for 4 (3 and 1, 2 and 2).
PK.MTH.2.3 Recognize, duplicate, and extend simple patterns of objects, sounds, and movements using manipulatives.
PK.MTH.2.3.a Use pattern cards to reproduce patterns.
PK.MTH.2.3.b Use manipulatives such as beads, colored cubes, or mosaic tiles to create patterns.
PK.MTH.2.3.c Recognize and create a variety of repeating patterns (e.g., abab, abba) and growing patterns.
PK.MTH.3 Students understand measurement and data.
PK. Compare measurable attributes
PK.MTH.3.1 Compare objects based on their attributes (e.g., two- or three-dimensional, containers which hold more or less of something).
PK.MTH.3.1.a Describe objects using size, shape, or color words.
PK.MTH.3.1.b Compare simple shapes based line, sides, corners, size, shape, and color.
PK.MTH.3.1.c Compare the speed, weight, or height of objects.
PK.MTH.3.2 Use standard or nonstandard measurement techniques to measure objects.
PK.MTH.3.2.a Compare the size of a part of their body (e.g., foot, fist) to the size of a plant, animal, or object.
PK.MTH.3.2.b Compare the length, weight, and amount of content in familiar objects (e.g., the room is as long as 10 children).
PK. Classify objects
PK.MTH.3.3 Order objects by size and length.
PK.MTH.3.3.a Stack rings on a peg in order of size.
PK.MTH.3.3.b Sort and order a variety of manipulatives such as objects or toys (e.g., order blocks from smallest to largest).
PK.MTH.4 Students begin to develop geometric thinking.
PK. Identify and describe shapes
PK.MTH.4.1 Identifies, draws, builds, and names common two- or three-dimensional shapes.
PK.MTH.4.1.a Find simple shapes (e.g., circle, square, triangle) in the environment.
PK.MTH.4.1.b Draw or represent shapes with available materials (e.g., crayons, play dough, popsicle sticks, blocks, computer applications).
PK.MTH.4.1.c Identify shapes in age-appropriate computer games and applications on various media platforms.
PK.MTH.4.1.d Match and sort shapes.
PK.MTH.4.1.e Describe and name shapes using the number of sides or corners (up to the number that students can count).
PK. Spatial Sense
PK.MTH.4.2 Use vocabulary to describe or indicate directionality, order, or position of objects.
PK.MTH.4.2.a Use words above/below, inside/outside, next to, behind, between, over, under, in front, and beside.
PK.MTH.4.2.b Experiment with directionality using available materials (e.g., around the sandbox, near the block area, under the slide).
PK.MTH.4.3 Demonstrate understanding of spatial sense for solving problems when completing activities.
PK.MTH.4.3.a Use geometric blocks (parquetry blocks) to fill in a template.
PK.MTH.4.3.b Complete puzzles.
PK.MTH.5 Students use math practices.
PK. Strategies and multiple solutions (e.g., logical thinking)
PK.MTH.5.1 Uses simple strategies to solve mathematical problems.
PK.MTH.5.1.a Use one-to-one correspondence to pass out snack items, one for each place.
PK.MTH.5.1.b Divide four cookies into two piles of two to share with friend.
PK.MTH.5.2 Choose which strategies and thinking skills should be used when solving a problem.
PK.MTH.5.2.a Think out loud and talk through a situation.
PK.MTH.5.2.b Listen to suggestions for solving problems, and decide whether or not the suggestion should be used.
PK.MTH.5.2.c Attempt a variety of strategies to solve problems.