Hampton School District

Math Competencies and Standards for Grade K 

▪ Compare numbers.
▪ Compare two numbers between 1 and 10 presented as written numerals.
▪ Count forward beginning from a given number within the known sequence (instead of having to begin at 1).
▪ Count to 100 by ones and by tens.
▪ 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.
▪ Count to tell the number of objects.
▪ Given a number from 1-20, count out that many objects.
▪ 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.
▪ Know number names and the count sequence.
▪ Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects).
▪ Understand that each successive number name refers to a quantity that is one larger.
▪ Understand that the last number name said tells the number of objects counted.
▪ Understand that the number of objects is the same regardless of their arrangement or the order in which they were counted.
▪ When counting objects, say the number names in the standard order, pairing each object with only one number name and each number name with only one object.
▪ Write numbers from 0 to 20.

▪ 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).
▪ Fluently add and subtract within 5.
▪ 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.
▪ Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.
▪ Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

▪ 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 the numbers from 11 to 19 are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.
▪ Work with numbers 11-19 to gain foundations for place value.

▪ Classify objects and count the number of objects in each category.
▪ Classify objects into given categories; count the numbers of objects in each category and sort the categories by count. (Limit category counts to be less than or equal to 10.)
▪ Describe and compare measurable attributes.
▪ Describe measurable attributes of objects, such as length or weight.
▪ Describe several measurable attributes of a single object.
▪ 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.


▪ 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.
▪ Analyze, compare, create, and compose shapes.
▪ Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?”
▪ Correctly name shapes regardless of their orientations or overall size.
▪ 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.
▪ Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
▪ Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.

Hampton School District
Math Competencies and Standards for Grade K 
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