Colorado Kindergarten Math Standards

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K.1 Number Sense, Properties, and Operations

• K.1.1 Whole numbers can be used to name, count, represent, and order quantity
  • K.1.1.a Use number names and the count sequence.
    • K.1.1.a.i Count to 100 by ones and by tens.
    • K.1.1.a.ii Count forward beginning from a given number within the known sequence.
    • K.1.1.a.iii Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20.
  • K.1.1.b Count to determine the number of objects.
    • K.1.1.b.i Apply the relationship between numbers and quantities and connect counting to cardinality.
    • K.1.1.b.ii Count and represent objects to 20.
  • K.1.1.c Compare and instantly recognize numbers.
    • K.1.1.c.i Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group.
    • K.1.1.c.ii Compare two numbers between 1 and 10 presented as written numerals.
    • K.1.1.c.iii Identify small groups of objects fewer than five without counting.
• K.1.2 Composing and decomposing quantity forms the foundation for addition and subtraction
  • K.1.2.a Model and describe addition as putting together and adding to, and subtraction as taking apart and taking from, using objects or drawings.
    • K.1.2.a.i Represent addition and subtraction with objects, fingers, mental images, drawings, sounds, acting out situations, verbal explanations, expressions, or equations.
    • K.1.2.a.ii Solve addition and subtraction word problems, and add and subtract within 10.
    • K.1.2.a.iii Decompose numbers less than or equal to 10 into pairs in more than one way.
    • K.1.2.a.iv For any number from 1 to 9, find the number that makes 10 when added to the given number.
    • K.1.2.a.v Use objects including coins and drawings to model addition and subtraction problems to 10.
  • K.1.2.b Fluently add and subtract within 5.
  • K.1.2.c Compose and decompose numbers 11-19 to gain foundations for place value using objects and drawings.

K.4 Shape, Dimension, and Geometric Relationships

• K.4.1 Shapes can be described by characteristics and position and created by composing and decomposing
  • K.4.1.a Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
    • K.4.1.a.i 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.
    • K.4.1.a.ii Correctly name shapes regardless of their orientations or overall size.
    • K.4.1.a.iii Identify shapes as two-dimensional or three dimensional.
  • K.4.1.b Analyze, compare, create, and compose shapes.
    • K.4.1.b.i Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts and other attributes.
    • K.4.1.b.ii Model shapes in the world by building shapes from components and drawing shapes.
    • K.4.1.b.iii Compose simple shapes to form larger shapes.
• K.4.2 Measurement is used to compare and order objects
  • K.4.2.a Describe and compare measurable attributes.
    • K.4.2.a.i Describe measurable attributes of objects, such as length or weight.
    • K.4.2.a.ii Describe several measurable attributes of a single object.
    • K.4.2.a.iii 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.
    • K.4.2.a.iv Order several objects by length, height, weight, or price.
  • K.4.2.b Classify objects and count the number of objects in each category.
    • K.4.2.b.i Classify objects into given categories.
    • K.4.2.b.ii Count the numbers of objects in each category.
    • K.4.2.b.iii Sort the categories by count.