What should a Grade 3 student know in math?
Multiplication and division within 100, two-step word problems, fractions as numbers, area and perimeter, and rounding.
Grade 3 math practice — adaptive, verified, parent-run
8,780 verified practice questions across 82 Common Core concepts for Grade 3
What should a Grade 3 student know?
Third grade is the multiplication year. Your child learns to multiply and divide within 100, solves two-step word problems, and rounds to the nearest 10 and 100. Fluency here decides how hard fractions feel next year.
Fractions arrive as real numbers — placed on a number line, compared, and split into equivalents. Area and perimeter connect multiplication to geometry. This is the grade where daily practice pays the highest interest.
The curriculum map
Every Common Core concept we cover for Grade 3
Geometry
- Draw quadrilaterals outside standard subcategories
- Express part area as unit fraction of whole
- Partition shapes and express area as unit fraction
- Partition shapes into parts with equal areas
- Recognize quadrilateral subcategories
- Understand shared attributes define shape categories
Measurement and Data
- Compare rectangles with same perimeter and different areas
- Count unit squares to measure area
- Create a line plot with fractional units
- Draw a scaled bar graph
- Draw a scaled picture graph
- Draw scaled graphs and solve problems
- Estimate liquid volumes and masses
- Find area by tiling and verify with multiplication
- Find area of rectilinear figures by decomposing
- Find perimeter given side lengths
- Find unknown side length given perimeter
- Generate measurement data and make line plots with fractions
- Measure and estimate liquid volumes and masses
- Measure lengths to halves and fourths of an inch
- Measure liquid volumes and masses in standard units
- Measure time intervals in minutes
- Multiply side lengths to find area of rectangles
- Relate area to multiplication and addition
- Solve problems involving perimeter
- Solve problems using scaled bar graphs
- Solve word problems involving mass or volume
- Solve word problems with time intervals
- Tell and write time to the nearest minute
- Tell time and solve time interval problems
- Understand area as covering without gaps or overlaps
- Understand concepts of area measurement
- Understand unit square and square unit of area
- Use area model to represent distributive property
Number and Operations — Fractions
- Compare fractions with same numerator or denominator
- Explain equivalence and compare fractions
- Express whole numbers as fractions
- Generate simple equivalent fractions and explain why
- Represent fraction a/b on a number line
- Represent fractions on a number line
- Represent unit fraction 1/b on a number line
- Understand equivalent fractions as same size or same point
- Understand fraction a/b as a parts of size 1/b
- Understand fractions as equal parts of a whole
- Understand unit fraction 1/b as one equal part
Number and Operations in Base Ten
- Fluently add and subtract within 1000 using algorithms
- Fluently add within 1000 using algorithms
- Fluently subtract within 1000 using algorithms
- Multiply one-digit by multiples of 10 using place value
- Round whole numbers to nearest 10 or 100
- Round whole numbers to the nearest 10
- Round whole numbers to the nearest 100
Operations and Algebraic Thinking
- Apply associative property of multiplication
- Apply commutative property of multiplication
- Apply distributive property
- Apply properties of operations to multiply and divide
- Assess reasonableness using estimation and rounding
- Describe a context for a multiplication expression
- Determine unknowns in multiplication and division equations
- Explain arithmetic patterns using properties of operations
- Find unknown factor in multiplication
- Find unknown in division equation
- Find unknown product in multiplication
- Fluently divide within 100
- Fluently multiply and divide within 100
- Fluently multiply within 100
- Identify and explain arithmetic patterns
- Identify patterns in addition and multiplication tables
- Interpret products as equal groups
- Interpret quotients as equal grouping (measurement)
- Interpret quotients as equal sharing (partitive)
- Interpret whole-number quotients
- Know from memory all products of two one-digit numbers
- Represent multiplication and division problems with equations
- Represent problems with equations using a letter for unknown
- Solve division word problems within 100
- Solve multiplication and division word problems within 100
- Solve multiplication word problems with arrays
- Solve multiplication word problems with equal groups
- Solve two-step word problems using four operations
- Understand division as unknown-factor problem
- Use multiplication to solve division problems
Diagnosis, not just marking
Where Grade 3 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 3 math — questions parents ask
How much math practice does a Grade 3 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 3 session to that budget and to your child's pace — a quick day never becomes a marathon.
How does Algo School help with Grade 3 math at home?
Algo School generates short daily sessions from 8,780 verified Grade 3 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.
Start Grade 3 practice this week
Free for 15 days — a card is kept on file, but $0 is charged until the trial ends. Cancel in one click before then and pay nothing.
Start your free 15 days →