Math Scope and Sequence

Key Topics in Kindergarten Math:

 Counting and Cardinality Operations and Algebraic Thinking Know number names and the count sequence (instead of having to begin at 1).Writes numbers 0 to 20.  Represent a number of objects with a written numeral 0 to 20.Compare two numbers between 1 and 10 presented as written numerals.Understand the relationship between numbers and quantities.Count to tell the number of objects.Compare numbers.Count to answer “how many” questions.Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group.Count by ones to 100.Count to 100 by tens.Counts forwards and backwards to 20 with and without objects. Describe, model, and extend AB and ABC patternsUnderstands addition as putting together and adding to, and understands subtraction as taking apart and taking formRepresent addition and subtraction in various ways.Model addition (joining) and subtraction (separating) Solve addition and subtraction word problems and add/subtract within 10.Decompose numbers less than or equal to 10 into pairs in more than one way.For any number 1-9, find the number that makes 10 when added to the given number.Fluently add and subtract within 5. Measurement and Data Numbers and Operations (Base 10) Describe and compare measurable attributes such as length or width.  Describe several measurable attributes of a single object.Directly compare two objects with a measurable attribute in common.Classify objects and count the number of objects in each category.Use data to create real-object and picture graphs.  Draw conclusions from real-object and picture graphs.Classify objects in given categories, count the number of objects in each category, and sort the categories by count. Work with numbers 11-19 to gain foundations for place valueUse one to one correspondence and language such as more than, same number as, or two less than to describe relative sizes of sets to concrete objectsUse sets of concrete objects to represent quantities given in verbal or written form (through 20)Use numbers to describe how many objects are in a set (through 20) using verbal and symbolic descriptions Compose and decompose numbers from 11-19 into ten ones and some further ones.Identify coins by names.. Geometry Describe objects in the environment using names of shapes and describe the relative positions of these objects using positional word terms.Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, spheres) regardless of their orientation or overall size.Analyze, compare, create, and compose shapes.Identify objects as a 2D or 3D shape.Analyze and compare 2D and 3D shapes in different sizes and orientations using informal language to describe their similarities, differences, and parts.Model shapes in the world by building shapes from components and drawing shapes.

Math Units

Kindergarten