A - Numerical Reasoning - counting, money, place value, numbers to 20, addition, subtraction, and fluency
demonstrate and explain the relationship between numbers and quantities up to 20; connect counting to cardinality (the last number counted represents the total quantity in a set)
use count sequences within 100 to count forward and backward in sequence
use place value understanding to compose and decompose numbers from 11-19
identify, write, and represent numbers to 20; compare two sets of up to 10 objects each
explain the concepts of addition, subtraction, and equality and use these concepts to solve real-life problems within 10
B - Patterning & Algebraic Reasoning - repeating patterns and time
explain, extend, and create repeating patterns with a repetition, not exceeding four; describe patterns involving the passage of time
C - Measurement & Data Reasoning - attributes of objects, classifying objects
observe, describe, and compare the physical and measurable attributes of objects and analyze graphical displays of data to answer relevant questions
D - Geometric & Spatial Reasoning - 2D and 3D shapes, relative locations, attributes
identify, describe, and compare basic shapes encountered in the environment; form two-dimensional shapes and three-dimensional figures
A - Numerical Reasoning - counting, money, place value, numbers to 20, addition, subtraction, and fluency
demonstrate and explain the relationship between numbers and quantities up to 20; connect counting to cardinality (the last number counted represents the total quantity in a set)
use count sequences within 100 to count forward and backward in sequence
use place value understanding to compose and decompose numbers from 11-19
identify, write, and represent numbers to 20; compare two sets of up to 10 objects each
explain the concepts of addition, subtraction, and equality and use these concepts to solve real-life problems within 10
B - Patterning & Algebraic Reasoning - repeating patterns and time
explain, extend, and create repeating patterns with a repetition, not exceeding four; describe patterns involving the passage of time
C - Measurement & Data Reasoning - attributes of objects, classifying objects
observe, describe, and compare the physical and measurable attributes of objects and analyze graphical displays of data to answer relevant questions
demonstrate the relationship between numbers and quantities to 20; connect counting to cardinality
count objects by stating number names in the standard order, pairing each object with one and only one, number name and each number name with one, and only one, object (one to one correspondence)
demonstrate that the last number name said tells the number of objects counted (cardinality); the number of objects is the same regardless of their arrangement or the order in which they were counted
compare two sets of objects and identify which set is equal to, more than, or less than the other using matching and counting strategies
compare two numbers between 1 and 10 presented as written numerals
identify coins by name and value: pennies, nickels, dimes, quarters, and dollar bills
B - Operations and Algebraic Thinking
decompose numbers less than or equal to 10 into pairs in more than one way (e.g., by using objects or drawing), and record each decomposition by a drawing or equations (e.g., 5 = 2 + 3 and 5 = 4 + 1)
find the number that makes 10 when added to the given number, for any number from 1 to 9 (e.g., by using objects or drawings, and record the answer with a drawing or equation)
identify, create, extend, and transfer patterns from one representation to another using actions, objects, and geometric shapes
C - Number and Operations in Base Ten
compose and decompose numbers from 11 to 19 into ten ones and some further ones, and record each composition or decomposition by a drawing or equation; understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones
D - Measurement and Data
directly compare two objects on the basis of length (longer/shorter), capacity (more/less), height (taller/shorter), and weight (heavier/lighter) and describe the difference (e.g., directly compare the heights of two children and describe one child as taller/shorter)
E - Geometry
analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/corners), and other attributes (e.g., having sides of equal length)
model shapes in the world by building shapes from components and drawing shapes
compose simple shapes to form larger shapes (e.g., "Can you join these two triangles with full sides touching to make a rectangle?")
