What should a Grade 2 student know in math?
Fluent addition and subtraction within 100, place value to 1,000, skip-counting, money, measurement, and picture graphs — the runway to multiplication.
Grade 2 math practice — adaptive, verified, parent-run
11,497 verified practice questions across 91 Common Core concepts for Grade 2
What should a Grade 2 student know?
Second grade turns shaky arithmetic into fluency. Your child adds and subtracts within 100 (and works with place value up to 1,000), skip-counts, and solves one- and two-step word problems.
Measurement gets real: money, time, length in standard units, and picture and bar graphs. Arrays and equal groups appear at the end of the year — the quiet on-ramp to third-grade multiplication.
The curriculum map
Every Common Core concept we cover for Grade 2
Geometry
- Count total squares in a partitioned rectangle
- Describe equal shares using halves, thirds, and fourths vocabulary
- Draw shapes with specified attributes
- Identify triangles, quadrilaterals, pentagons, hexagons, and cubes
- Partition a rectangle into rows and columns of squares
- Partition circles and rectangles into halves, thirds, and fourths
- Partition rectangles into rows and columns
- Partition shapes into equal shares (halves, thirds, fourths)
- Recognize and draw shapes with specified attributes
- Recognize equal shares can have different shapes
- Recognize shapes by specified attributes
Measurement and Data
- Create a line plot from measurement data
- Describe how measurements relate to unit size
- Draw a bar graph to represent data
- Draw a picture graph to represent data
- Draw graphs and solve problems using data
- Estimate lengths in centimeters and meters
- Estimate lengths in inches and feet
- Estimate lengths in standard units
- Generate measurement data and make line plots
- Generate measurement data by measuring objects
- Identify coin and bill values
- Measure length using appropriate tools
- Measure length using rulers and standard tools
- Measure same object with different units
- Measure to determine how much longer one object is
- Measure to find length differences
- Measure with different length units and relate
- Represent numbers and operations on a number line
- Represent sums and differences on a number line
- Represent whole numbers on a number line
- Select appropriate measurement tool
- Solve addition word problems involving lengths
- Solve problems using information from bar graphs
- Solve subtraction word problems involving lengths
- Solve word problems involving lengths
- Solve word problems involving money
- Solve word problems with money using $ and ¢ symbols
- Tell and write time to the nearest five minutes
- Tell time to nearest five minutes on analog clock
- Tell time to nearest five minutes on digital clock
- Write time using a.m. and p.m.
Number and Operations in Base Ten
- Add and subtract within 1000
- Add up to four two-digit numbers
- Add up to four two-digit numbers using place value
- Add within 1000 using place value strategies
- Compare three-digit numbers
- Compare three-digit numbers using place value
- Compose tens or hundreds when adding
- Count within 1000
- Count within 1000 and skip-count
- Decompose tens or hundreds when subtracting
- Explain addition and subtraction strategies
- Explain why addition strategies work using place value
- Explain why subtraction strategies work using place value
- Fluently add and subtract within 100
- Fluently add within 100 using place value strategies
- Fluently subtract within 100 using place value strategies
- Mentally add 10 or 100 to a number 100-900
- Mentally add or subtract 10 or 100
- Mentally subtract 10 or 100 from a number 100-900
- Read and write numbers to 1000
- Read and write numbers to 1000 using number names
- Read and write numbers to 1000 using numerals
- Record three-digit comparisons with symbols
- Relate addition/subtraction strategies to written methods
- Skip-count by 100s
- Skip-count by 10s
- Skip-count by 5s
- Subtract within 1000 using place value strategies
- Understand 100 as a bundle of ten tens
- Understand multiples of 100 as groups of hundreds
- Understand three-digit numbers as hundreds, tens, and ones
- Understand three-digit place value
- Write numbers to 1000 in expanded form
Operations and Algebraic Thinking
- Determine if a number is odd or even by pairing
- Determine if a number is odd or even by skip-counting by 2s
- Determine odd or even
- Find total objects in a rectangular array using repeated addition
- Fluently add and subtract within 20
- Fluently add within 20 using mental strategies
- Fluently subtract within 20 using mental strategies
- Know from memory all sums of two one-digit numbers
- Represent word problems with drawings and equations within 100
- Solve one- and two-step word problems within 100
- Solve one-step addition word problems within 100
- Solve one-step subtraction word problems within 100
- Solve two-step word problems within 100
- Use addition with rectangular arrays
- Write an even number as a sum of two equal addends
- Write equation for array total as sum of equal addends
Diagnosis, not just marking
Where Grade 2 students actually go wrong
For these concepts we've written up the specific mistaken rules children apply — what each one sounds like at the kitchen table, and why it feels right to them. Free to read, no account needed.
Grade 2 math — questions parents ask
How much math practice does a Grade 2 student need each day?
Short and daily beats long and rare. Most families set a 10–30 minute time budget; Algo School sizes each Grade 2 session to that budget and to your child's pace — a quick day never becomes a marathon.
How does Algo School help with Grade 2 math at home?
Algo School generates short daily sessions from 11,497 verified Grade 2 questions, checks every answer, and adapts the next session to what your child actually mastered. When they're stuck, an answer-guarded AI tutor coaches with questions and hints — and you get an email brief after every tutoring session. Homeschool families use the per-concept mastery record as their assessment evidence.
Math practice for every band — home and homeschool, Grade 1 through Algebra 2.
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