Count within 1000 by ones from any starting number
Continues the counting sequence by ones from any number under 1000, handling decade and hundred transitions.
All grades
2nd Grade
101 atomsAll authored atoms for this grade, grouped by category.
NUM
Numbers
(9 atoms)Read three-digit number names
Says the number name for any written three-digit numeral, including numbers with internal zeros.
Write three-digit numerals from number names
Writes the correct numeral for any spoken or written three-digit number name.
Count backward by ones within 1000
Says the reverse counting sequence from a given number under 1000, crossing decade and hundred boundaries.
Skip-count by fives within 1000
Counts by fives from a multiple of five, forward and from any entry point.
Skip-count by tens within 1000
Counts by tens from any multiple of ten through 1000, including across hundreds.
Skip-count by hundreds within 1000
Counts by hundreds from any multiple of one hundred up to 1000.
Identify numbers before, after, and between within 1000
Names neighbors of a given three-digit number and fills gaps in a sequence.
Order a set of three-digit numbers
Arranges several three-digit numbers from least to greatest using place-value reasoning.
GEO
Shapes
(6 atoms)Identify shapes by number of sides and angles
Names triangles, quadrilaterals, pentagons, and hexagons by counting sides and angles.
Draw a shape with specified attributes
Produces a shape meeting a stated number of sides or angles, including non-prototypical forms.
Describe solids by faces, edges, and vertices
Identifies solids and counts their faces, edges, and vertices.
Partition a rectangle into rows and columns of same-size squares
Divides a rectangle into a grid of equal squares matching a given number of rows and columns.
Count the total squares in a partitioned rectangle
Finds the total number of same-size squares tiling a rectangle, using the row-and-column structure.
Relate the rows-and-columns structure to repeated addition
Writes a repeated-addition equation for a partitioned rectangle and connects it to array reasoning.
MD
Measurement
(19 atoms)Determine how much longer one object is than another
Measures two objects and finds the difference in length, expressed in the unit used.
Solve length word problems within 100
Uses addition and subtraction within 100 to solve problems involving lengths in the same units.
Tell time to the nearest five minutes on an analog clock
Reads an analog clock at five-minute intervals, coordinating both hands.
Measure length in inches with a ruler
Measures an object to the nearest inch using a standard ruler, aligning the object with the zero mark.
Measure length in centimeters with a ruler
Measures an object to the nearest centimeter using a metric ruler.
Select an appropriate measuring tool for a given length
Chooses among ruler, yardstick, meter stick, and measuring tape based on what is being measured.
Write time to the nearest five minutes
Records a clock time in digital notation with correct minutes, including times past the half hour.
Use a.m. and p.m. appropriately
Applies a.m. and p.m. to a time based on the activity or part of the day described.
Identify the values of coins and bills
Names each coin and bill and states its value.
Count a collection of like coins
Totals a group of identical coins by skip counting.
Count a mixed collection of coins
Totals a mixed group of coins by sorting from largest value and skip counting on.
Solve money word problems using $ and ¢ notation
Solves problems involving money amounts and records them with the correct symbol.
Measure the same object in two different units
Measures one object twice using different units and reports both numbers.
Explain why smaller units give larger measurement numbers
Articulates the inverse relationship between the size of the unit and the count of units.
Estimate lengths in inches and feet
Gives a reasonable estimate of an object's length in customary units before measuring.
Estimate lengths in centimeters and meters
Gives a reasonable estimate of an object's length in metric units before measuring.
Represent whole numbers as lengths on a number line diagram
Places numbers on a number line with equally spaced points, understanding position as distance from zero.
Represent sums and differences on a number line diagram
Shows an addition or subtraction as a jump or series of jumps on a number line.
Describe relationships among standard units of time
States relationships among minutes, hours, days, weeks, months, and years and uses them in simple questions.
DAT
Data
(8 atoms)Collect data through surveys, interviews, and observations
Plans and carries out a simple survey, interview, or observation, recording each response exactly once.
Draw a picture graph with a single-unit scale
Represents a categorical data set as a picture graph with one symbol per item, a title, and labels.
Draw a bar graph with a single-unit scale
Represents a categorical data set as a bar graph with a labeled axis and consistent scale.
Solve put-together and take-apart problems using a bar graph
Uses values read from a bar graph to find totals and remaining amounts.
Solve compare problems using a bar graph
Uses a bar graph to answer how-many-more and how-many-fewer questions, including multi-category comparisons.
Generate measurement data by measuring several objects
Measures a set of objects in the same unit and records the results as a data set.
Represent measurement data on a line plot
Builds a line plot with a whole-number horizontal scale and one mark per measurement.
Interpret a line plot
Answers questions about how many, most common, and range from a line plot.
OA
Operations
(15 atoms)Find the total in a rectangular array using repeated addition
Counts the objects in an array up to 5 by 5 by adding equal rows.
Write an equation expressing an array as a sum of equal addends
Records the total of a rectangular array as a repeated-addition equation.
Relate rows and columns in an array to the same total
Recognizes that adding by rows and adding by columns give the same total for the same array.
Determine whether a group of up to 20 objects is even or odd
Decides evenness by pairing objects or by counting by twos.
Express an even number as a sum of two equal addends
Writes an equation showing an even number as a double.
Explain why a number is odd using pairing
Justifies oddness by showing one object without a partner, and knows an odd number cannot be a double.
Solve one-step result-unknown word problems within 100
Solves add-to and take-from situations within 100 where the result is unknown.
Solve one-step change-unknown word problems within 100
Finds the amount added or removed given the start and the result, within 100.
Solve one-step start-unknown word problems within 100
Finds the original amount given the change and the result, within 100.
Solve put-together and take-apart problems with an unknown addend within 100
Finds a missing part when the whole and one part are known.
Solve compare, difference-unknown word problems within 100
Finds how many more or fewer one quantity is than another, within 100.
Solve compare, bigger-unknown word problems within 100
Finds the larger quantity given the smaller and the difference.
Solve compare, smaller-unknown word problems within 100
Finds the smaller quantity given the larger and the difference, including inconsistent-language versions.
Solve two-step word problems within 100
Solves problems requiring two operations, tracking the intermediate result.
Represent a two-step problem with equations
Writes equations capturing both steps of a two-step problem, using a symbol for each unknown.
FRA
Fractions
(5 atoms)Partition a circle or rectangle into two, three, or four equal shares
Divides a whole into halves, thirds, or fourths with genuinely equal parts.
Recognize that equal shares of identical wholes need not have the same shape
Accepts that two halves of congruent wholes can look different while representing the same amount.
Name shares as halves, thirds, and fourths
Uses the correct share vocabulary for a partitioned whole, including a third of and a fourth of.
Describe the whole as two halves, three thirds, or four fourths
States that all the equal parts together reconstitute the whole.
Compare the sizes of halves, thirds, and fourths of the same whole
Orders unit shares of one whole and explains why more shares means smaller shares.
FLU
Fluency
(5 atoms)Recall all related differences within 20 from memory
Produces any subtraction fact with a minuend within 20 from memory.
Recall all sums of two one-digit numbers from memory
Produces any single-digit addition fact from memory without computation or strategy work.
Select and apply mental strategies flexibly within 20
Chooses an efficient mental route for any within-20 computation when retrieval does not fire.
Derive multiples-of-ten computations from known facts
Uses a known single-digit fact to compute the matching tens or hundreds fact instantly.
Recall ten-partners and doubles as anchor facts
Retrieves the combinations that make ten and the doubles to 20 instantly, as anchors for derived computation.
NBT
Place Value
(30 atoms)Add two two-digit numbers without composing a ten
Adds two two-digit numbers when the ones digits sum to nine or less.
Add two two-digit numbers composing a ten
Adds two two-digit numbers when the ones exceed ten, regrouping to form a new ten.
Add up to four two-digit numbers
Adds three or four two-digit numbers, grouping strategically and managing multiple regroups.
Subtract two-digit numbers without decomposing a ten
Subtracts two two-digit numbers when each ones digit in the minuend is large enough.
Subtract two-digit numbers decomposing a ten
Subtracts two two-digit numbers when the ones digit of the minuend is too small, regrouping a ten into ones.
Fluently add and subtract within 100
Computes any addition or subtraction within 100 accurately and efficiently, selecting among place-value, compensation, and regrouping strategies.
Bundle ten tens as one hundred
Understands that ten tens can be grouped into a single unit called a hundred, and that the bundle and the loose tens are the same quantity.
Identify hundreds, tens, and ones in a three-digit number
Names how many hundreds, tens, and ones any three-digit number contains.
Understand multiples of one hundred as hundreds with zero tens and ones
Knows that 100, 200 ... 900 name whole numbers of hundreds with no leftover tens or ones.
Represent three-digit numbers with base-ten models
Builds or draws any number within 1000 using hundreds flats, ten rods, and unit cubes.
Write a three-digit number in expanded form
Writes a three-digit number as the sum of its hundreds, tens, and ones values.
Write the numeral from an expanded form or place-value description
Converts an expanded form or a spoken hundreds-tens-ones description into the correct numeral.
Interpret non-standard base-ten representations
Determines the value of a collection where one place holds ten or more, such as 3 hundreds and 14 ones.
Compare three-digit numbers using place value
Decides which of two three-digit numbers is greater by comparing hundreds, then tens, then ones.
Record three-digit comparisons using >, <, or =
Writes the correct comparison symbol between two three-digit numbers and reads the statement.
Mentally add 10 to a number within 1000
Adds ten to any three-digit number without counting, including when the tens digit rolls over.
Mentally subtract 10 from a number within 1000
Subtracts ten from any three-digit number without counting, including when the tens digit rolls back.
Mentally add 100 to a number within 1000
Adds one hundred to any three-digit number without counting, changing only the hundreds digit.
Mentally subtract 100 from a number within 1000
Subtracts one hundred from any three-digit number without counting.
Add within 1000 without regrouping
Adds two three-digit numbers when no place requires composing.
Add within 1000 composing a ten
Adds three-digit numbers where the ones exceed ten, regrouping into the tens place.
Add within 1000 composing a hundred
Adds three-digit numbers where the tens exceed ten, regrouping into the hundreds place, including double regroups.
Subtract within 1000 without regrouping
Subtracts two three-digit numbers when no place requires decomposing.
Subtract within 1000 decomposing a ten
Subtracts three-digit numbers where the ones place requires trading a ten.
Subtract within 1000 decomposing a hundred
Subtracts three-digit numbers where the tens place requires trading a hundred, including double decompositions.
Subtract across a zero within 1000
Subtracts when the minuend contains a zero requiring a trade through an empty place.
Relate a concrete or drawn strategy to the written method
Connects each step of a base-ten model or drawing to the corresponding step in the recorded algorithm.
Explain why an addition or subtraction strategy works
Justifies a computation strategy using place value and the properties of operations.
Add and subtract on an open number line
Uses an open number line to compute within 1000 by jumping hundreds, tens, and ones.
Judge the reasonableness of a sum or difference
Estimates a result before or after computing and decides whether the answer is plausible.
EQ
Equations
(4 atoms)Judge whether an equation within 100 is true or false
Evaluates equations with operations on one or both sides using numbers within 100.
Write an equation with a symbol for the unknown in any position within 100
Represents a situation with an equation placing the unknown wherever the problem structure requires.
Solve for an unknown in any position within 100
Finds the unknown in an addition or subtraction equation within 100, whatever its position.
Write and solve equations for a two-step situation
Represents a two-step problem with equations and solves for the final unknown.