What should a Grade 4 student know in math?
Multi-digit multiplication, long division, fraction equivalence and addition, first decimals, factors and multiples, and angles.
Grade 4 math practice — adaptive, verified, parent-run
8,615 verified practice questions across 91 Common Core concepts for Grade 4
What should a Grade 4 student know?
Fourth grade scales arithmetic up: multi-digit multiplication, long division, and factors and multiples. Word problems now mix operations and expect your child to choose which one applies.
Fractions deepen — equivalence, comparing, adding and subtracting with like denominators — and decimals appear as another way to write fractions. Geometry adds angle measurement, the first taste of proof-like thinking.
The curriculum map
Every Common Core concept we cover for Grade 4
Geometry
- Classify 2D figures by line and angle properties
- Classify figures by angle properties
- Classify figures by parallel and perpendicular lines
- Draw and identify lines, angles, and geometric elements
- Draw and identify perpendicular and parallel lines
- Draw lines of symmetry
- Draw points, lines, line segments, rays, and angles
- Identify and draw lines of symmetry
- Recognize and identify line-symmetric figures
- Recognize and identify right triangles
Measurement and Data
- Apply area and perimeter formulas for rectangles
- Apply area formula for rectangles in problems
- Apply perimeter formula for rectangles in problems
- Convert measurements from larger to smaller units
- Generate a measurement conversion table
- Know relative sizes of measurement units
- Make a line plot with fractional measurements
- Make line plots with fractional data and solve problems
- Measure and sketch angles
- Measure angles using a protractor
- Measurement unit conversion and equivalence
- Recognize angle measure as additive and solve for unknowns
- Sketch angles of specified measure
- Solve for unknown angles using addition and subtraction
- Solve fraction problems using line plot data
- Solve measurement problems requiring unit conversion
- Solve measurement word problems with four operations
- Solve measurement word problems with whole numbers and fractions
- Understand angle as two rays sharing a common endpoint
- Understand angle concepts and measurement
- Understand angle measure as additive
- Understand one-degree angle and angle measurement in degrees
Number and Operations — Fractions
- Add and subtract fractions with like denominators
- Add and subtract mixed numbers with like denominators
- Add fractions with denominators 10 and 100
- Compare decimals to hundredths
- Compare fractions by creating common denominators
- Compare fractions using benchmark fractions
- Compare fractions with different denominators
- Compare two decimals to hundredths
- Decompose fractions into sums with same denominator
- Explain and generate equivalent fractions
- Explain why a/b equals (n×a)/(n×b) using visual models
- Express tenths as equivalent hundredths
- Express tenths as hundredths and add
- Generate equivalent fractions using multiplication
- Locate decimals on a number line
- Multiply a fraction by a whole number
- Multiply a fraction by a whole number using unit fractions
- Solve word problems involving fraction times whole number
- Solve word problems with fraction addition and subtraction
- Understand fraction a/b as a multiple of 1/b
- Understand fraction addition/subtraction as joining/separating parts
- Use decimal notation for fractions
- Write fractions with denominator 10 or 100 as decimals
Number and Operations in Base Ten
- Compare multi-digit numbers using place value
- Divide up to 4-digit by 1-digit finding quotient and remainder
- Divide with up to 4-digit dividends and 1-digit divisors
- Fluently add and subtract multi-digit numbers
- Fluently add multi-digit numbers using standard algorithm
- Fluently subtract multi-digit numbers using standard algorithm
- Illustrate division using equations and models
- Illustrate multiplication using area models
- Multiply multi-digit by one-digit and two-digit by two-digit
- Multiply two 2-digit numbers
- Multiply up to 4-digit by 1-digit number
- Read and write multi-digit numbers using numerals and words
- Read, write, and compare multi-digit numbers
- Recognize 10× place value relationship
- Round multi-digit numbers to any place
- Round multi-digit whole numbers to any place
- Understand each place is 10 times the place to its right
- Write multi-digit numbers in expanded form
Operations and Algebraic Thinking
- Assess reasonableness using estimation and rounding (grade 4)
- Determine if a number is a multiple of a given digit
- Determine if a number is prime or composite
- Distinguish multiplicative from additive comparison
- Find all factor pairs for a number 1-100
- Find factors, multiples, and identify primes
- Generate and analyze patterns
- Generate a pattern following a given rule
- Identify features of patterns not explicit in the rule
- Interpret multiplication as comparison
- Interpret multiplicative comparison statements
- Interpret remainders in word problems
- Represent multiplicative comparisons as equations
- Represent multistep problems with equations using variables
- Solve multiplicative comparison problems
- Solve multiplicative comparison word problems
- Solve multistep problems using four operations
- Solve multistep word problems with whole numbers
Diagnosis, not just marking
Where Grade 4 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 4 math — questions parents ask
How much math practice does a Grade 4 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 4 session to that budget and to your child's pace — a quick day never becomes a marathon.
How does Algo School help with Grade 4 math at home?
Algo School generates short daily sessions from 8,615 verified Grade 4 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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