4th grade math: what your child learns this year

4th grade math is mostly about fractions and bigger numbers. Your child learns to multiply and divide multi-digit numbers, to work with numbers up to a million and to treat fractions as numbers that can be compared, added and multiplied by a whole number. Word problems start to take two or three steps, and angles are measured for the first time. A child who finishes 4th grade solid in fractions and multi-digit arithmetic starts 5th grade ready.

The one-minute check

Before the checklist, try this

Draw a number line and label it 0, 1, 2, 3 and 4. Ask your child to mark where 3/4 goes and to explain the choice.

If they get it

Your child marks a point between 0 and 1, closer to 1 than to 0. That means the 3rd grade idea of a fraction as one number is solid, and 4th grade has something to build on.

If they do not

Your child marks a point between 3 and 4, or does not know where to start. That is the gap, and it comes from 3rd grade.

Comparing, adding and multiplying fractions all depend on seeing 3/4 as one number. A child who reads it as "a 3 and a 4" keeps making mistakes on all three, and more 4th grade practice does not fix the 3rd grade idea underneath. In a 2017 study by Amelia Malone and Lynn Fuchs (Journal of Learning Disabilities), 227 fourth graders who were behind in math put fractions in order correctly only 19% of the time. Most of the mistakes (65%) came from treating the top and bottom numbers as separate whole numbers.

The 4th grade skills checklist

Read each line as "my child can…". Confident checks are strengths; hesitations are where to look closer.

Not every topic weighs the same. Fractions, multi-digit arithmetic and multi-step word problems are where most of 4th grade goes, and most state test questions come from them. Measurement, angles, shapes and number patterns are real topics, but a smaller share of the year.

Where most of the year goes

Fractions and decimals

The center of 4th grade. Fractions stop being pictures of pizza and become numbers with a size and a place on the number line. Tenths and hundredths are written as decimals for the first time.

Finds equivalent fractions, such as 2/3 = 4/6, and explains why multiplying the top and bottom by the same number keeps the value
Compares fractions with different denominators (bottom numbers), using 1/2 and 1 as landmarks
Adds and subtracts fractions and mixed numbers with the same denominator, such as 3/8 + 4/8 = 7/8
Multiplies a fraction by a whole number, such as 3 × 2/5 = 6/5, and says about how big the answer should be
Writes tenths and hundredths as decimals (3/10 = 0.3, 45/100 = 0.45) and compares two decimals correctly

Comes from last year: Third grade had to show that a fraction is one number with a place on the number line, not two numbers stacked up. If that idea never made sense, almost everything here is shaky.

4.NF.1 · 4.NF.2 · 4.NF.3 · 4.NF.4 · 4.NF.5 · 4.NF.6 · 4.NF.7

Place value and multi-digit arithmetic

Numbers grow to a million, and multiplying and dividing grow into the multi-digit methods that later years depend on. This is the one area of 4th grade with a speed goal.

Reads, writes, compares and rounds whole numbers up to 1,000,000
Knows that a digit is worth ten times as much as the same digit one place to the right (700 is ten times 70)
Adds and subtracts multi-digit numbers quickly and accurately with the standard method, the speed goal of 4th grade
Multiplies up to a 4-digit number by a 1-digit number, multiplies two 2-digit numbers and explains the work with a drawing or an area model
Divides numbers of up to four digits by a 1-digit number, with remainders

Comes from last year: Third grade had to make the times tables automatic and show that a number can be split into parts to multiply. Multi-digit work falls apart when each step means stopping to work out a times-table fact.

4.NBT.1 · 4.NBT.2 · 4.NBT.3 · 4.NBT.4 · 4.NBT.5 · 4.NBT.6

Multiplication, division and word problems

The four operations are put to work on real problems that take more than one step, including problems where the leftover from a division has to mean something.

Tells "3 more than" from "3 times as many", and knows the first means adding and the second means multiplying
Writes an equation with a letter for the unknown number, such as 24 = 4 × n
Solves word problems that take two or three steps, choosing the order from the story
Decides what a remainder means in the story: 58 children in vans of 8 need 8 vans, not "7 remainder 2"
Estimates first, then checks whether the answer makes sense

Comes from last year: Third grade had to make two-step word problems comfortable. If multi-step problems are a struggle, check whether two-step ones were ever easy before adding more steps.

4.OA.1 · 4.OA.2 · 4.OA.3

Also covered, smaller share of the year

Measurement, area and data

Your child chooses and converts units, uses area and perimeter in real problems and reads line plots marked in fractions of a unit.

Picks a sensible unit and converts larger units to smaller ones (1 meter = 100 centimeters, 1 hour = 60 minutes) inside word problems
Solves problems about distance, time, money, weight and liquid volume
Uses the area and perimeter formulas for rectangles, including working backwards to find a missing side
Makes and reads line plots with measurements such as 1/2, 1/4 and 1/8 of an inch

Comes from last year: Third grade found area by multiplying side lengths and compared rectangles with the same perimeter but different areas. A child who missed that work often mixes up area and perimeter here.

4.MD.1 · 4.MD.2 · 4.MD.3 · 4.MD.4

Angles

Angles are measured in degrees for the first time. This topic has no direct 3rd grade version, so a struggle here is usually not a gap from last year.

Understands an angle as an amount of turn, not as two lines of a certain length
Measures angles with a protractor and draws an angle of a given size
Adds and subtracts angles to find a missing one, such as 90° - 35° = 55°

Comes from last year: Nothing directly. Every measure so far was a length or an area. An angle measures a turn, which is why it can feel strange at first.

4.MD.5 · 4.MD.6 · 4.MD.7

Shapes, symmetry and patterns

Your child sorts shapes by their properties instead of by how they look, and works with factors, prime numbers and number patterns. This is the smallest share of the year.

Tells a line segment from a ray and a line, and names right, acute and obtuse angles
Sorts triangles and four-sided shapes by parallel sides, perpendicular sides and angles, and finds lines of symmetry
Finds all the factor pairs of a number up to 100 and tells prime numbers (exactly two factors, 1 and the number itself) from composite numbers
Builds a number or shape pattern from a rule and notices features the rule did not state

Comes from last year: Third grade had to start sorting shapes by their properties instead of by how they look. Trouble here usually comes from never having done that, not from the shapes themselves.

4.G.1 · 4.G.2 · 4.G.3 · 4.OA.4 · 4.OA.5

All 28 4th grade math standards, in plain English

These are the Common Core standards for 4th grade math. Each link opens a page that explains the topic in simple words, with examples, the usual sticking points and four practice questions.

Geometry

Operations and Algebraic Thinking

What schools teach in 4th grade math, at a glance

Area	What schools teach	Share of the year
Fractions and decimals	The center of 4th grade. Fractions stop being pictures of pizza and become numbers with a size and a place on the number line. Tenths and hundredths are written as decimals for the first time.	Major
Place value and multi-digit arithmetic	Numbers grow to a million, and multiplying and dividing grow into the multi-digit methods that later years depend on. This is the one area of 4th grade with a speed goal.	Major
Multiplication, division and word problems	The four operations are put to work on real problems that take more than one step, including problems where the leftover from a division has to mean something.	Major
Measurement, area and data	Your child chooses and converts units, uses area and perimeter in real problems and reads line plots marked in fractions of a unit.	Smaller
Angles	Angles are measured in degrees for the first time. This topic has no direct 3rd grade version, so a struggle here is usually not a gap from last year.	Smaller
Shapes, symmetry and patterns	Your child sorts shapes by their properties instead of by how they look, and works with factors, prime numbers and number patterns. This is the smallest share of the year.	Smaller

What 4th grade math actually looks like

Five real problems from our 4th grade bank. Work through them with your child, check each answer, and see the steps for any problem.

Problem 1
Maya wants to draw a line segment between point A and point B. Her drawing is shown below.
Select the statement that best describes Maya's drawing.
A
The drawing goes past both marked points.
B
The drawing starts at one marked point but goes past the other.
C
The drawing is correct because it connects the two marked points and stops at both.
D
The drawing does not reach both marked points.
Show the answer and how to get it
The best description is "The drawing goes past both marked points." Maya's line has arrows at both ends and extends past both point A and point B, so it is not a true line segment — a segment must stop exactly at both endpoints with no arrows.
1. Maya needs to draw a line segment from point A to point B. A line segment connects two points and stops exactly at both endpoints — there should be no arrows at either end.
2. Look carefully at Maya's drawing. The line passes through point A and through point B, but it does not stop at either one. There is an arrow at both ends of the line — the line keeps going past point A in one direction and past point B in the other direction.
3. Because both ends of the line have arrows and extend past both marked points, the best description is: "The drawing goes past both marked points."
Problem 2
Liam is making a conversion table from liters to milliliters using the rule below. His completed table follows.
$\displaystyle 1 \text{ liter} = 1000 \text{ milliliters}$
Liters Milliliters
1 1000
2 1000
3 1000
4 1000
Select the statement that best describes Liam's table.
A
The values in the Milliliters column are all the same.
B
All 4 rows are correct.
C
The conversion factor is wrong: 1 liter is not equal to 1000 milliliters.
D
The value for 3 liters is wrong: 3 liters equals 3000 milliliters, not 990.
Show the answer and how to get it
The values in the Milliliters column are all the same — every row shows 1000 instead of increasing. Only row 1 is correct $(1 \times 1000 = 1000)$ ; rows 2, 3, and 4 are all wrong.
1. Look at the rule and Liam's table.
2. Check each row by multiplying the liter value by 1000. Compare each result to the value Liam wrote.
3. Row 1 matches the rule. Rows 2, 3, and 4 do not — the table shows 1000 in every row instead of increasing by 1000 each time. The values in the Milliliters column are all the same.
Problem 3
Ten Thousands
0
Thousands
4
Hundreds
0
Tens
4
Ones
0
How many times as much is the value of the 4 in the thousands place as the value of the 4 in the tens place?
Show the answer and how to get it
The $4$ in the thousands place has a value of $4{,}000$ , which is $100$ times the value of the $4$ in the tens place (which is $40$ ).
1. Find the value each $4$ stands for in the chart. The $4$ in the thousands place stands for $4{,}000$ . The $4$ in the tens place stands for $40$ .
2. To find how many times as much $4{,}000$ is as $40$ , divide the larger value by the smaller value.
3. The $4$ in the thousands place is $100$ times as much as the $4$ in the tens place. You can also see this by counting place moves: tens → hundreds → thousands is $2$ moves to the left, and each move multiplies by $10$ , so $10 \times 10 = 100$ .
Problem 4
The two number lines below show fractions from 0 to 1. Select the pair of fractions, one from each number line, that marks the same point.
A
$\displaystyle \frac{2}{3} \text{ and } \frac{4}{6}$
B
$\displaystyle \frac{2}{3} \text{ and } \frac{2}{6}$
C
$\displaystyle \frac{2}{3} \text{ and } \frac{3}{6}$
D
$\displaystyle \frac{1}{3} \text{ and } \frac{5}{6}$
Show the answer and how to get it
The pair $\frac{2}{3}$ and $\frac{4}{6}$ marks the same point on the two number lines.
1. Find $\frac{2}{3}$ on the first number line. The first number line is divided into $3$ equal parts. $\frac{2}{3}$ is at the second tick to the right of $0$ .
2. Find $\frac{4}{6}$ on the second number line. The second number line is divided into $6$ equal parts. $\frac{4}{6}$ is at the fourth tick to the right of $0$ .
3. Both fractions are at the same point. We can verify by multiplying the numerator and denominator of $\frac{2}{3}$ by $2$ :
Problem 5
Jordan wrote a comparison sentence and a matching equation. Then Jordan labeled the roles of some of the numbers. Jordan's sentence was 'There are 9 apples, and there are 4 times as many oranges,' and Jordan's equation was $36 = 4 \times 9$ . Jordan's labels are shown below.
36 → (no label)
4 →
as many as
9 →
times
This equation is read-only.
Select the statement that best describes Jordan's work.
A
Jordan labeled the roles correctly.
B
Jordan switched the two labels. The "times" label belongs on 4 and "as many as" belongs on 9.
C
Jordan labeled the first number named in the sentence as "times," but 9 is the one-group amount; "times" belongs on 4.
D
Jordan put "as many as" on 36, but the "as many as" label belongs on 9 because 9 is the one-group amount.
Show the answer and how to get it
Jordan correctly left 36 without a label, but placed 'times' on 9 and 'as many as' on 4. The error happened because Jordan labeled the first number named in the sentence (9) as 'times' rather than identifying its role.
1. In the comparison 'There are 9 apples, and there are 4 times as many oranges' (equivalent to '36 is 4 times as many as 9'), the roles are: 4 is the 'times' number (how many times). 9 is the 'as many as' number (the one-group amount). 36 is the product, so it does not get a role label.
2. Jordan's labels show 9 → 'times' and 4 → 'as many as,' and 36 has no label. Jordan saw 9 first in the sentence and labeled it 'times' — but 9 is the one-group amount (apples). The 'times' label belongs on 4 (how many times), and 'as many as' belongs on 9.
3. The statement that says 'Jordan labeled the first number named in the sentence as "times," but 9 is the one-group amount; "times" belongs on 4' best describes Jordan's work.

Liters	Milliliters
1	1000
2	1000
3	1000
4	1000

Where 4th grade math usually goes wrong

These are not careless mistakes. Each one is a rule that worked perfectly well until this year, applied consistently to a place where it no longer holds, which is why the same wrong answer keeps coming back. Recognising the specific rule is far more useful than more practice.

Says 2/7 is bigger than 2/5, because 7 is bigger than 5.
The bottom number is read as a count instead of a piece size. More pieces means smaller pieces, which is the opposite of what bigger numbers have meant so far.
Adds 2/5 + 1/5 and gets 3/10.
The fraction is treated as two separate numbers, so the tops are added and the bottoms are added too. Fifths plus fifths are still fifths: 2 fifths and 1 fifth make 3 fifths, which is 3/5.
Multiplies 94 × 36 and gets 846 instead of 3,384.
The 3 in 36 is multiplied as 3, not as 30, so the second row comes out as 282 instead of 2,820. The steps were learned as digit moves. The same small rule gives the same wrong answer every time, so it is not a careless slip.
Says the angle drawn with longer lines is the bigger angle.
An angle is an amount of turn, but it is drawn with two lines, and the lines are what the eye sees. Two equal angles, one drawn with short lines and one with long lines, show the difference.

Roughly when each part comes up

Schools vary, but most 4th grade classrooms move in about this order. Useful if you are trying to work out whether something is genuinely behind or simply has not been taught yet.

September to NovemberPlace value to a million, rounding, adding and subtracting multi-digit numbers
November to DecemberUnits of length, weight, liquid volume and time; area and perimeter
November to JanuaryMulti-digit multiplication and division; multi-step word problems, factors and number patterns
January to FebruaryLines, rays and angle types; sorting shapes and symmetry
February to AprilFractions: equivalent fractions, comparing, adding and subtracting, multiplying by a whole number; line plots with fractions
April to MayTenths and hundredths as decimals; measuring angles with a protractor

What 5th grade assumes on day one

Next year does not re-teach these. It starts from them, which is why a gap left open over the summer tends to show up in October rather than in June.

Adding and subtracting fractions with different denominators (4th grade only added fractions with the same denominator)
Multiplying and dividing with fractions, where an answer can be smaller than the starting number
All four operations with decimals to hundredths
Long division with two-digit divisors

4th Grade math resources

Free 4th grade math quick check

Ten questions on the year’s main topics, about 10 to 15 minutes, with a worked solution for every one. Take it online or print it with the answer key.

Start the quick check →

Not sure which grade fits?

Pick the quick check for any grade, kindergarten to 8th.

Grade-by-grade readiness check

What should be solid before next September, K through 8.

Common questions

What do 4th graders learn in math?

The main 4th grade math skills are multi-digit multiplication and division, place value up to 1,000,000 and fractions. Children find equivalent fractions, compare fractions, add and subtract fractions with the same denominator and multiply a fraction by a whole number. The year also covers tenths and hundredths as decimals, word problems with several steps, unit conversions, measuring angles and sorting shapes. Fractions and multi-digit arithmetic carry the most weight.

Is 4th grade math hard?

It is a step up. Third grade is mostly about learning what multiplication and division mean; 4th grade uses them on multi-digit numbers and in problems with several steps. Fractions are usually the hardest part, because comparing 3/8 and 2/5 means rewriting both as fortieths, and that needs quick times-table facts. Children who arrive with quick multiplication facts usually manage the step. Children who do not often struggle with the new work and the old gap at the same time.

How can I check if my child is on track in 4th grade math?

Start with the one-minute number line check on this page. For a broader read, try the free 10-question quick check. The Level Up assessment, about 30 to 40 questions on a computer or tablet, adapts to each answer and shows where your child stands, including gaps from earlier grades. It is included in the free trial.