Kindergarten

Number and Operations

Geometry

Measurement

Algebra

Data Analysis and Probability

Number sense

Ordinals 

Addition and subtraction

Base Ten 

Fractions 

Plane figures (two-dimensional) 

Solid figures (three-dimensional) 

Geometric and spatial relationship concepts 

Nonstandard and standard measurement 

Money 

Time

Calendar skills 

Patterns 

Classification 

Graphing

count by ones, fives, and tens to 100

count by two up to 20

understand that each successive number name refers to a quantity that is one larger

read numerals up to 100

count 20 or more objects with one-to-one correspondence when arranged in a line, a rectangular array, or a circle or as many as 10 objects in a scattered configuration 

understand that the last number name said tells the number of objects counted

write numerals 0-30 

represent a number of objects with a written numeral 0-20 

compare and order numbers and quantities 1-20 using greater than, less than, and equal to

compare two numbers between 1 and 10 presented as written numerals

count forward from any given number instead of beginning at one

identify sequence of ordinal numbers from first to tenth 

understand addition as putting together and adding to, and understand subtraction as taking apart and taking from

use objects, drawings, sounds, or mental images to represent addition and subtraction of numbers less than or equal to ten by acting out situations, using verbal explanations, expressions, or equations

use concrete objects, pictures, and mental math to solve single digit addition and subtraction stories and number sentences

write number sentences using symbols +, -, and =

determine the number that makes ten when added to a given number (1-9)

decompose numbers less than or equal to 10 into pairs in more than one way (e.g., 5 = 2 + 3)

fluently add and subtract within five

understand that numbers from 11 to 19 are composed of ten ones and from one to nine additional ones

compose and decompose numbers from 11 to 19 into ten ones and some further ones

recognize equal parts of a whole 

identify simple fractions using pictures

recognize and name the attributes of these plane figures: circle, square, rectangle, triangle, oval, and hexagon

recognize solid figures: cube, sphere, cone, and cylinder

locate and describe objects and pictures using spatial relationship concepts: inside, outside, right, left, above, below, beside, near, top, middle, bottom, front, behind, over, between, under, on

distinguish between two-dimensional and three-dimensional shapes 

analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., sides, corners, curves) 

model shapes in the world by building shapes from components and drawing shapes

combine simple shapes to form larger shapes (e.g., use two triangles to make a rectangle)

use nonstandard and standard units to estimate, measure, and compare length and weight

identify standard measuring tools

describe measurable attributes of objects, such as length or weight

directly compare two objects with a measurable attribute in common, to see which object has “more of” or “less of” the attribute, and describe the difference

identify the name and value of a penny, nickel, dime, and quarter

describe the features of an analog clock

tell time to the hour and half-hour on an analog and digital clock

name the days of the week and months of the year

use a calendar

extend, describe, and create patterns using pictures, objects, colors, sounds, and movement

sort and order objects by size, color, number, and other properties

collect and organize data to create tally charts, pictographs, and bar graphs

use graphs to answer questions