Count forward by ones to 20
Says the counting sequence from 1 to 20 in order, unaided, without skipping or repeating numbers.
All grades
1st Grade
126 atomsAll authored atoms for this grade, grouped by category.
NUM
Numbers
(15 atoms)Count forward by ones starting from any number within 20
Continues the counting sequence from a given starting number within 20 without restarting at 1.
Count forward by ones to 50
Extends the oral counting sequence to 50, handling each decade transition correctly.
Extend oral counting from 101 through 120
Continues the learned oral counting sequence past 100 through 120, handling the transition from 100 to 101 correctly.
Continue counting from any number in a learned sequence
Continues counting for at least 10 numbers from an arbitrary entry point in the currently learned oral sequence without needing a running start from one or a decade.
Read numerals to 20
Says the number name for any written numeral from 0 to 20 on sight.
Write numerals to 20
Writes the correct numeral for a spoken number word from 0 to 20, correctly formed and ordered.
Read numerals to 120
Says the number name for any written two- or three-digit numeral up to 120.
Write numerals to 120
Writes the correct numeral for any spoken number up to 120, including numbers with a zero in the ones place.
Subitize larger quantities using five and ten structures
Recognizes six through 10 without counting when a structured arrangement can be composed from a known group of five or ten and a smaller part.
Count a set of objects and record the count as a numeral within 20
Coordinates a correct count of up to 20 objects with writing the numeral that records the resulting total.
Count a set of objects and record the count as a numeral within 120
Counts a collection of up to 120 objects, organizing the count, often into groups of ten, and records the numeral.
Count backward by ones from any number within 20
Says the counting sequence in reverse from a given number within 20 down to 0.
Count forward by tens within a known sequence
Says the decade sequence through the currently learned range and continues the tens pattern from a given decade without restarting at 10.
Order numerals within 120 on a number path or line
Places numbers in order and identifies what comes before, after, or between given numbers within 120.
GEO
Shapes
(8 atoms)Distinguish defining from non-defining attributes of shapes
Separates attributes that determine what a shape is—sides, corners, and closure—from color, size, and orientation.
Identify and name two-dimensional shapes by their defining attributes
Names circles, triangles, squares, rectangles, trapezoids, and hexagons and justifies each by its attributes.
Build or draw a shape with given defining attributes
Produces a shape meeting a stated set of attributes, including non-prototypical examples.
Compose two-dimensional shapes to create a composite shape
Joins two or more flat shapes to form a larger named shape.
Decompose a composite two-dimensional shape into its parts
Identifies smaller shapes inside a larger figure, including when boundaries are not drawn.
Recognize that a composite shape can be built in more than one way
Finds multiple distinct ways to compose the same target shape.
Identify and name three-dimensional shapes
Names cubes, rectangular prisms, cones, cylinders, and spheres across varied sizes, orientations, and real-world examples.
Compose three-dimensional shapes to build a composite solid
Combines solid figures into a larger structure and names the solids used.
MD
Measurement
(12 atoms)Directly compare two objects by a linear dimension
Compares the length, height, or width of two objects by aligning the relevant endpoints and states which is longer, shorter, taller, or wider.
Order three objects by length
Arranges three objects from shortest to longest and describes the order.
Compare lengths indirectly using a third object
Compares objects that cannot be placed together by using a third object as a go-between.
Identify the hour and minute hands and what each shows
Distinguishes the two clock hands and states what each one indicates.
Tell time to the hour on an analog clock
Reads an analog clock showing an exact hour and says the time.
Tell time to the half hour on an analog clock
Reads a half-hour time while accounting for the hour hand sitting between two numbers.
Understand length as a count of same-size units
Understands a length measurement as the number of identical units fitting end to end.
Measure a length by iterating units with no gaps or overlaps
Lays same-size units end to end along an object, starting at one end, without gaps or overlaps.
Report and compare measurements expressed in units
States a measurement as a number of units and uses two measurements to compare lengths.
Write time in digital notation for hours and half hours
Records a time digitally with the colon and minutes correctly placed.
Match analog and digital clock representations
Pairs an analog clock face with its digital equivalent and explains the correspondence.
Identify dimes and count mixed penny-and-dime collections
Identifies a dime as 10 cents and determines the value of mixed penny-and-dime collections up to 100 cents.
DAT
Data
(5 atoms)Sort objects into up to three categories
Groups a collection consistently by a stated attribute into as many as three categories.
Represent categorical data in a chart or picture graph
Organizes sorted data into a labeled tally chart, picture graph, or simple bar-style chart.
Interpret how many are in each category
Reads a data display to report the count for a named category.
Determine the total number of data points
Adds the category counts to find how many items or responses are represented in all.
Answer comparison questions about categories
Uses a data display to answer how-many-more and how-many-fewer questions.
OA
Operations
(28 atoms)Count on from a number to add within 10
Adds by starting at one addend and counting forward by the second addend instead of counting all from one.
Count on from a number to add within 20
Extends counting on to sums within 20, including crossing ten.
Count back to subtract within 10
Subtracts by starting at the total and counting backward the number being taken away.
Count back to subtract within 20
Extends counting back to differences within 20, including crossing ten.
Interpret addition as putting together or adding to
Recognizes joined or increased quantities as addition situations and explains why.
Interpret subtraction as taking from or taking apart
Recognizes removal and decomposition situations as subtraction situations and explains what quantity is being taken away or separated.
Represent an addition situation with an equation
Writes an addition equation with a symbol for the unknown that matches the structure of a given situation.
Represent a subtraction situation with an equation
Writes a subtraction equation with a symbol for the unknown that matches the structure of a given situation.
Understand subtraction as an unknown-addend problem
Rewrites a subtraction as a missing-addend addition and solves it by thinking addition.
Write the related addition and subtraction facts for a part-part-whole triple
Given three related numbers, writes all four equations in the fact family.
Interpret subtraction as comparing two quantities
Recognizes a comparison asking how many more or fewer as a subtraction situation and identifies the difference between the two quantities.
Solve add-to, result-unknown word problems
Given a start amount and an amount added, finds the resulting total.
Solve add-to, change-unknown word problems within 20
Given a start amount and a resulting total, finds how many were added.
Solve add-to, start-unknown word problems within 20
Given an amount added and a resulting total, finds the original starting amount.
Solve take-from, result-unknown word problems
Given a start amount and an amount removed, finds how many remain.
Solve take-from, change-unknown word problems within 20
Given a start amount and what remains, finds how many were removed.
Solve take-from, start-unknown word problems within 20
Given an amount removed and what remains, finds the original amount.
Solve put-together, total-unknown word problems
Given two parts that exist at the same time, finds the whole.
Solve put-together, addend-unknown word problems within 20
Given a whole and one part, finds the other part.
Solve put-together, both-addends-unknown word problems
Given a total in a put-together or take-apart situation, finds two unknown parts that compose the stated whole.
Solve compare, difference-unknown word problems within 20
Given two amounts, finds how many more or how many fewer one is than the other.
Solve compare, bigger-unknown word problems within 20
Given a smaller amount and the difference, finds the larger amount.
Solve compare, smaller-unknown word problems within 20
Given a larger amount and the difference, finds the smaller amount — including inconsistent-language versions.
Add three whole numbers with a sum within 20
Adds three addends by choosing an efficient order or grouping, not strictly left to right.
Solve three-addend word problems within 20
Solves a situation combining three quantities and writes a matching equation.
Recognize that addition can be done in any order (commutative property)
Knows that changing the order of two addends does not change the sum, and can show why with a model.
Use the commutative property to count on from the larger addend
Reorders an addition so counting on starts from the larger number, reducing the number of steps.
Group addends to make a ten (associative property)
Regroups three addends so that two of them combine to ten, then adds the remaining addend.
FRA
Fractions
(6 atoms)Recognize equal versus unequal shares
Judges whether a shape has been divided into parts of the same size regardless of arrangement.
Partition a circle or rectangle into two equal shares
Divides a whole into two equal parts and identifies each part as a half.
Partition a circle or rectangle into four equal shares
Divides a whole into four equal parts and identifies each as a fourth or quarter.
Use the words halves, fourths, and quarters to describe shares
Names partitioned parts with correct fraction vocabulary, including half of and quarter of.
Describe the whole as two of two shares or four of four shares
States that the whole shape is made of all its equal parts together.
Understand that more equal shares make smaller shares
Knows that dividing the same whole into more parts produces smaller parts, and compares halves to fourths.
FLU
Fluency
(20 atoms)Add zero to any number within 20
Knows that adding zero leaves a quantity unchanged, without counting.
Add one or two to any number within 20
Adds 1 or 2 using immediate sequence knowledge rather than recounting from one.
Fluently add within 5
Recalls all sums with addends and totals within 5 accurately and quickly.
Recall doubles facts within 10
Instantly recalls one plus one through five plus five and recognizes them as a special set.
Recall doubles facts to 20
Instantly recalls 6+6 through 10+10 as anchor facts for larger sums.
Use near-doubles to add within 20
Solves facts one or two away from a known double by adjusting the double.
Fluently add within 10
Recalls all addition facts with totals within 10 accurately and quickly, by any secure strategy.
Recall the combinations that make ten
Instantly produces the partner that completes ten for any number 0-10, in both directions.
Decompose an addend to make ten
Splits one addend so part of it completes a ten, then adds the remainder to ten.
Add ten to a single-digit number
Knows that 10 + n produces the teen number with n ones, without counting.
Add within 20 crossing the ten
Computes sums between 10 and 20 where the ones digits total more than ten, using a secure strategy.
Subtract zero and subtract all
Knows that subtracting zero leaves a number unchanged and subtracting a number from itself leaves zero.
Fluently subtract within 5
Recalls all subtraction facts with minuends within 5 accurately and quickly.
Fluently subtract within 10
Recalls all subtraction facts with minuends within 10 accurately and quickly.
Subtract from ten
Instantly produces the difference when subtracting any number from 10, using ten-partner knowledge.
Decompose to subtract across the ten
Subtracts a teen number by first going down to ten, then removing the rest.
Use think-addition to subtract within 20
Solves a subtraction within 20 by recalling the related addition fact.
Subtract within 20 accurately across all fact types
Solves any subtraction with a minuend within 20 correctly, selecting among counting back, down-to-ten, and think-addition.
Create an equivalent but easier sum by compensation
Adjusts both addends in compensating directions to make an easier problem with the same total.
Select an efficient strategy for a given fact
Given an addition or subtraction fact within 20, names and applies a sensible strategy rather than defaulting to counting.
NBT
Place Value
(21 atoms)Bundle ten ones as one ten
Understands that ten individual ones can be grouped into one unit called a ten without changing the quantity.
Compose teen numbers as one ten and some ones
Builds or represents 11–19 as one group of ten and one to nine additional ones.
Decompose a teen number into a ten and ones
Decomposes a teen number into one ten and additional ones using objects, a drawing, or an equation and identifies each part.
Identify the tens and ones digits in a two-digit number
Names how many tens and how many ones any two-digit number contains.
Represent a two-digit number with tens-and-ones models
Builds or draws any two-digit number within 120 using ten-rods and unit cubes.
Write the numeral for a given number of tens and ones
Converts a spoken or modeled tens-and-ones description into the correct two-digit numeral.
Understand decade numbers as tens with zero ones
Knows that 10, 20, 30 ... 90 name whole numbers of tens with no leftover ones.
Write a two-digit number in expanded form
Writes a two-digit number as the sum of its tens value and ones value.
Compare two-digit numbers by the tens digit
Decides which of two numbers is greater when the tens digits differ.
Compare two-digit numbers with the same tens digit
Decides which of two numbers is greater when the tens digits match, using the ones digit.
Record a comparison of two-digit numbers using >, <, or =
Writes the correct comparison symbol between two two-digit numbers and reads the statement correctly.
Compare numbers presented as models or expanded forms
Compares two-digit quantities when they are shown as base-ten models or expanded forms rather than as numerals.
Find 10 more than a two-digit number mentally
Adds ten to any two-digit number within 100 without counting, explaining that only the tens digit changes.
Find 10 less than a two-digit number mentally
Subtracts ten from any two-digit number within 100 without counting.
Add a multiple of ten to a multiple of ten within 100
Adds two decade numbers by reasoning about counts of tens.
Add a multiple of ten to a two-digit number
Adds a decade number to any two-digit number, changing only the tens.
Subtract a multiple of ten from a multiple of ten
Subtracts decade numbers within 100 by reasoning about counts of tens.
Add a two-digit and a one-digit number without composing a ten
Adds a single-digit number to a two-digit number when the ones digits sum to nine or less.
Add a two-digit and a one-digit number composing a ten
Adds a single-digit number to a two-digit number when the ones exceed ten, forming a new ten.
Explain that tens add to tens and ones add to ones
Articulates the place-value principle underlying two-digit addition and uses it to check a result.
Justify a within-100 addition with a model, drawing, or strategy
Explains and defends the reasoning used for a two-digit addition, connecting a written method to a concrete or drawn representation.
EQ
Equations
(11 atoms)Understand the equal sign as meaning the same amount as
Interprets the equal sign as a statement that both sides have the same value, not as a signal to write an answer.
Judge whether an identity equation is true or false
Evaluates equations of the form a equals a and a equals b with no operation present.
Judge whether an equation in the form a + b = c is true or false
Evaluates a standard-form addition equation and decides whether it holds.
Judge whether an equation with the total first is true or false
Evaluates equations written in the form c = a + b, where the sum appears on the left.
Judge whether an equation with operations on both sides is true or false
Evaluates equations of the form a + b = c + d by computing and comparing both sides.
Judge whether an equation involving subtraction is true or false
Evaluates true/false equations containing subtraction on one or both sides.
Find the unknown addend in a + ☐ = c
Determines the missing second addend in an addition equation.
Find the unknown addend in ☐ + b = c
Determines the missing first addend in an addition equation.
Find the unknown in a − ☐ = c
Determines the missing subtrahend in a subtraction equation.
Find the unknown in ☐ − b = c
Determines the missing starting amount in a subtraction equation.
Find the unknown in equations with the unknown after the equal sign or on either side
Solves equations such as c = ☐ + b and a + b = ☐ + d, where the unknown is not in a standard position.