3rd grade math: what your child learns this year

3rd grade math is mostly about multiplication, division and fractions. Your child learns what multiplying and dividing mean, and by the end of the year knows the times tables from memory. Fractions become numbers with a place on the number line, and area is measured first by counting squares, then by multiplying. A child who finishes 3rd grade with quick times tables and a clear idea of fractions starts 4th grade ready.

The one-minute check

Before the checklist, try this

Draw 4 rows of 5 dots on paper. Ask your child how many dots there are, and to say out loud how the total was found.

If they get it

Your child counts by fives (5, 10, 15, 20) or adds 5 + 5 + 5 + 5 and says 20. That means equal groups from 2nd grade are solid, and 3rd grade has something to build on.

If they do not

Your child counts every dot one at a time, even if the answer comes out as 20, or loses track and says 19 or 21. That is the gap, and it comes from 2nd grade.

Multiplication in 3rd grade starts as equal groups: 4 × 5 means 4 rows of 5. Area works the same way, as rows of squares. A child who sees only single dots has nothing to attach the times tables to, so the facts become a list to memorize with no way to work one out when it is forgotten.

The 3rd 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. Multiplication and division, fractions and area are where most of 3rd grade goes, along with two-step word problems and measuring time, liquid volume and mass. Most state test questions come from them. Rounding, adding and subtracting within 1,000, graphs, shapes and perimeter are real topics, but a smaller share of the year.

Where most of the year goes

Multiplication and division

The center of 3rd grade. Your child learns that multiplying counts equal groups and dividing splits a total into equal groups, then learns the times tables from memory.

Explains 5 × 7 as 5 groups of 7, and 56 ÷ 8 as 56 shared equally into 8 groups
Solves word problems about equal groups, rows of objects and measurements, within 100
Finds a missing number, such as 8 × ? = 48, and solves 32 ÷ 8 by asking what times 8 makes 32
Uses shortcuts that always work: 6 × 4 = 4 × 6, and 7 × 8 is 7 × 5 plus 7 × 3
Knows every product of two one-digit numbers from memory by the end of the year, and multiplies and divides within 100 quickly

Comes from last year: Second grade found the total of rows of objects by adding, such as 5 + 5 + 5 + 5 for 4 rows of 5, and skip-counted by 5s and 10s. A child who still counts every object one by one has not yet seen the rows as equal groups, and equal groups are what multiplication is.

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

Two-step word problems and patterns

Word problems now take two steps and can use all four operations. Your child also looks for patterns in the times table and explains why they happen.

Solves two-step word problems with adding, subtracting, multiplying and dividing
Writes the problem as an equation, with a letter for the unknown number
Checks whether an answer makes sense by rounding and estimating
Spots and explains patterns, such as why 4 times any number is always even

Comes from last year: Second grade solved one-step and two-step word problems with adding and subtracting within 100. If those were never comfortable, a 3rd grade problem brings two new things at once: more steps and new operations.

3.OA.8 · 3.OA.9

Fractions as numbers

Fractions become numbers for the first time. Your child learns that 1/4 is one of 4 equal parts of a whole and that fractions have a place on the number line. In 3rd grade the bottom numbers are 2, 3, 4, 6 and 8.

Explains 3/4 as 3 parts of size 1/4, when a whole is cut into 4 equal parts
Places fractions such as 1/3 and 2/3 on a number line between 0 and 1
Finds simple equivalent fractions, such as 1/2 = 2/4 = 3/6, with pictures or a number line
Writes whole numbers as fractions, such as 3 = 3/1 and 4/4 = 1
Compares two fractions with the same top number or the same bottom number, such as 3/8 and 3/4, and explains why

Comes from last year: Second grade cut circles and rectangles into 2, 3 or 4 equal shares and named them halves, thirds and fourths. It also put whole numbers on a number line with equal spaces. Fractions on a number line join those two ideas.

3.NF.1 · 3.NF.2 · 3.NF.3

Area

Area is the amount of flat space a shape covers. Your child measures it by counting unit squares, then learns that the area of a rectangle is its length times its width.

Measures area by counting unit squares, in square centimeters, square meters, square inches or square feet
Explains why counting the squares in a rectangle gives the same answer as multiplying its side lengths
Finds the area of a rectangle by multiplying, including in word problems
Splits an L-shaped figure into two rectangles and adds their areas
Shows with a drawing that 4 × 7 is the same as 4 × 5 plus 4 × 2

Comes from last year: Second grade split a rectangle into rows and columns of same-size squares and counted them. That is where area starts. A child who still counts the squares one at a time, and not row by row, has not yet seen why multiplying works.

3.MD.5 · 3.MD.6 · 3.MD.7

Time, liquid volume and mass

Telling time to the nearest minute and working out how much time has passed, plus measuring liquids in liters and mass (how heavy an object is) in grams and kilograms.

Tells and writes time to the nearest minute on a clock with hands
Works out how many minutes passed between two times, for example on a number line
Estimates and measures liquid volume in liters and mass in grams and kilograms
Solves one-step word problems about mass or liquid volume, with all amounts in the same unit

Comes from last year: Second grade told time to the nearest five minutes. Working out how much time has passed is hard while reading the clock itself still takes effort.

3.MD.1 · 3.MD.2

Also covered, smaller share of the year

Rounding, adding and subtracting

Rounding to the nearest 10 or 100, adding and subtracting within 1,000 quickly and accurately, and multiplying a one-digit number by a multiple of 10, such as 9 × 80.

Rounds whole numbers to the nearest 10 or 100, such as 347 to 350 and to 300
Adds and subtracts within 1,000 quickly and accurately, including problems such as 402 − 158 that need regrouping across a zero
Multiplies a one-digit number by a multiple of 10, such as 9 × 80 = 720, and explains why it works

Comes from last year: Second grade added and subtracted within 100 quickly and within 1,000 with drawings and blocks. Regrouping works only for a child who sees 100 as 10 tens.

3.NBT.1 · 3.NBT.2 · 3.NBT.3

Graphs and line plots

Picture graphs and bar graphs where one picture or one square can stand for several items, and line plots, a number line with a mark for each measurement.

Draws a picture graph and a bar graph with a scale, such as one picture for every 5 votes
Answers one-step and two-step "how many more" and "how many fewer" questions from a bar graph
Measures lengths to the nearest half or quarter inch and shows them on a line plot

Comes from last year: Second grade made picture graphs and bar graphs where each picture or square stood for 1. When one picture stands for 5, reading the key is the step children skip.

3.MD.3 · 3.MD.4

Shapes and perimeter

Sorting four-sided shapes into families, splitting shapes into equal parts and finding perimeter, the distance around a shape.

Knows that squares, rectangles and rhombuses are all quadrilaterals (shapes with four straight sides), and draws a quadrilateral that is none of them
Splits a shape into parts with equal area and names each part as a fraction, such as 1/4
Finds the perimeter of a shape from its side lengths, and finds a missing side when the perimeter is known
Draws rectangles with the same perimeter but different areas, or the same area but different perimeters

Comes from last year: Second grade named triangles, quadrilaterals, pentagons and hexagons by counting sides and angles. Sorting shapes into families works only for a child who looks at the sides and angles, not at what the shape looks like.

3.G.1 · 3.G.2 · 3.MD.8

All 25 3rd grade math standards, in plain English

These are the Common Core standards for 3rd 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

3.G.A.1 Classifying Quadrilaterals
3.G.A.2 Fractions of Shapes

Measurement and Data

3.MD.A.1 Elapsed Time
3.MD.A.2 Liquid Volume
3.MD.B.3 Bar Graphs
3.MD.B.4 Line Plots
3.MD.C.5 What Is Area
3.MD.C.7 Area of Rectangles
3.MD.D.6 What Is Area
3.MD.E.8 Area and Perimeter

Number and Operations in Base Ten

Number and Operations - Fractions

Operations and Algebraic Thinking

3.OA.A.1 Equal Groups
3.OA.A.2 Equal Sharing
3.OA.A.3 Multiplication Word Problems
3.OA.A.4 Unknown Factor
3.OA.B.5 Commutative Property of Multiplication
3.OA.B.6 Fact Families
3.OA.C.7 Multiplication Facts
3.OA.D.8 Two-Step Word Problems
3.OA.D.9 Arithmetic Patterns

What schools teach in 3rd grade math, at a glance

Area	What schools teach	Share of the year
Multiplication and division	The center of 3rd grade. Your child learns that multiplying counts equal groups and dividing splits a total into equal groups, then learns the times tables from memory.	Major
Two-step word problems and patterns	Word problems now take two steps and can use all four operations. Your child also looks for patterns in the times table and explains why they happen.	Major
Fractions as numbers	Fractions become numbers for the first time. Your child learns that 1/4 is one of 4 equal parts of a whole and that fractions have a place on the number line. In 3rd grade the bottom numbers are 2, 3, 4, 6 and 8.	Major
Area	Area is the amount of flat space a shape covers. Your child measures it by counting unit squares, then learns that the area of a rectangle is its length times its width.	Major
Time, liquid volume and mass	Telling time to the nearest minute and working out how much time has passed, plus measuring liquids in liters and mass (how heavy an object is) in grams and kilograms.	Major
Rounding, adding and subtracting	Rounding to the nearest 10 or 100, adding and subtracting within 1,000 quickly and accurately, and multiplying a one-digit number by a multiple of 10, such as 9 × 80.	Smaller
Graphs and line plots	Picture graphs and bar graphs where one picture or one square can stand for several items, and line plots, a number line with a mark for each measurement.	Smaller
Shapes and perimeter	Sorting four-sided shapes into families, splitting shapes into equal parts and finding perimeter, the distance around a shape.	Smaller

What 3rd grade math actually looks like

Five real problems from our 3rd grade bank. Work through them with your child, check each answer, and see the steps for any problem.

Problem 1
Aiyana says this shape is a quadrilateral.
Select the statement that best describes Aiyana's claim.
A
Aiyana is not correct: the shape has more than 4 straight sides.
B
Aiyana is correct: the shape is closed and has 4 straight sides.
C
Aiyana is not correct: the shape's sides are curved.
D
Aiyana is not correct: the shape has only 3 straight sides.
Show the answer and how to get it
Aiyana is not correct. A circle's boundary is curved, not made of straight sides, so it is not a quadrilateral.
1. Look at the shape Aiyana is talking about.
2. Check if the sides are straight. A circle has no straight sides at all — its entire boundary is one smooth curve that bends all the way around.
3. Check if the shape is closed. The circle is closed, but being closed alone is not enough to make something a quadrilateral — the sides must also be straight.
4. The boundary is a curve, not a set of straight sides, so the shape is NOT a quadrilateral.
Problem 2
The clocks below show when an activity started and ended. Both times are within the same hour. Type how many minutes passed.
Start time:
End time:
minutes
Show the answer and how to get it
The activity lasted $25$ minutes because $35 - 10 = 25$ .
1. Read the start time on the first clock: $2:10$ .
2. Read the end time on the second clock: $2:35$ .
3. At $2:10$ , $10$ minutes of the hour had passed. At $2:35$ , $35$ minutes had passed. Subtract to find the minutes between these times.
4. The activity lasted 25 minutes.
Problem 3
Round the number on the number line to the nearest 10.
Show the answer and how to get it
The point at 43 is closer to 40 than to 50, so 43 rounds to 40.
1. The number line shows the point at 43, which sits between 40 and 50. To round to the nearest 10, find which multiple of 10 the point is closer to.
2. Count how many ones 43 is from each end of the number line.
3. The distance from 43 to 40 is 3, which is smaller than the distance from 43 to 50, which is 7. So 43 is closer to 40.
Problem 4
Sara wrote a sentence about the fraction shown below.
$\displaystyle \frac{2}{8}$
Sara's sentence: "The 2 tells how many pieces are shaded, and the 8 tells how many equal parts make the whole."
Select the statement that best matches Sara's sentence.
A
Sara mixed up what the numerator counts and what the denominator names.
B
Sara identified the numerator and denominator correctly.
C
Sara said the bottom number counts the unshaded parts, but it counts all the equal parts.
D
Sara said the top number counts the unshaded parts, but it counts the shaded parts.
Show the answer and how to get it
Sara identified the numerator and denominator correctly.
1. The circle has 8 equal parts, and 2 of them are shaded. The fraction $\frac{2}{8}$ shows the shaded part.
2. Sara said the 2 tells how many pieces are shaded. In the circle, 2 pieces are shaded. That part is right.
3. Sara said the 8 tells how many equal parts make the whole. The circle has 8 equal parts. Each part is $\frac{1}{8}$ of the whole. That part is right too.
4. So Sara was right about both numbers.
5. The 2 is the numerator and the 8 is the denominator, so Sara was right about the numerator and the denominator. The correct answer is "Sara identified the numerator and denominator correctly."
Problem 5
Mia was asked to write a multiplication expression for the picture below. Her expression is shown. For this task, put the number of groups first and the number in each group second.
$\displaystyle 4 \times 7$
Select the statement that best describes the student's expression.
A
The student's expression $4 \times 7$ matches the picture exactly.
B
The student's expression is $4 \times 4$ instead of $4 \times 7$ , using the number of groups twice.
C
The student's expression is $4 + 7 = 11$ instead of $4 \times 7 = 28$ .
D
The student's expression switches the factors — it is $7 \times 4$ , but $4 \times 7$ matches the picture.
Show the answer and how to get it
The picture shows $4$ groups of $7$ stars, so the correct expression is $4 \times 7$ . The student wrote $4 \times 7$ , which matches exactly. The option stating the expression matches the picture is the right answer.
1. Look at the picture below. There are 4 equal groups, and each group has 7 stars.
2. For this task, the first factor is the number of groups and the second factor is the number in each group. So the expression is:
3. Now look at the student's expression. The student wrote $4 \times 7$ . This matches the picture exactly — $4$ groups of $7$ .
4. The option that says the student's expression matches the picture exactly describes the work correctly.

Where 3rd 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 1/8 is bigger than 1/4, because 8 is bigger than 4.
The bottom number is read as a count, not as the size of the pieces. Cutting the same whole into 8 equal parts makes each part smaller than cutting it into 4.
On a number line from 0 to 1 split into 4 equal parts, labels the first mark after 0 as 1/5.
The tick marks are counted (there are 5 of them) instead of the spaces between them. A fraction on the number line counts equal lengths from 0, not marks.
Solves 503 − 267 and gets 364.
In each column the smaller digit is taken from the larger one, so 3 − 7 becomes 7 − 3. Regrouping gets skipped when 503 is not yet seen as 4 hundreds, 9 tens and 13 ones. The right answer is 236.
Adds the side lengths of a rectangle when asked for its area.
Area and perimeter are taught with the same rectangles and the same side lengths. Area counts the squares inside; perimeter measures the distance around the edge. Tracing the edge with a finger, then shading the inside, shows the difference.

Roughly when each part comes up

Schools vary, but most 3rd 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 OctoberWhat multiplication and division mean, with equal groups and rows of objects
October to DecemberRounding; adding and subtracting within 1,000; multiplying by multiples of 10
December to JanuaryTimes tables and division facts; two-step word problems; picture graphs, bar graphs and line plots
January to FebruaryTime to the nearest minute, liquid volume and mass
January to MarchArea: counting unit squares, then multiplying
March to AprilFractions: equal parts, the number line, equivalent fractions and comparing
May to JuneSorting shapes, splitting shapes into equal parts and perimeter

What 4th 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.

The times tables from memory, used inside multi-digit multiplication and division
Fractions as numbers, the starting point for equivalent fractions, comparing and adding fractions
Adding and subtracting within 1,000, growing to numbers up to 1,000,000 with the standard method
The area of a rectangle as length times width, now used as a formula next to perimeter

3rd Grade math resources

Free 3rd 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 3rd graders learn in math?

Math for 3rd graders centers on multiplication, division and fractions. Children learn what multiplying and dividing mean, then memorize the times tables. They also solve two-step word problems, place fractions on a number line and find the area of rectangles. Telling time to the nearest minute, measuring liquids and mass, rounding to the nearest 10 or 100, adding and subtracting within 1,000, graphs, shapes and perimeter fill the rest of the year.

When should my child know the times tables?

By the end of 3rd grade. The Common Core standards ask children to know every product of two one-digit numbers from memory by then, and to multiply and divide within 100 quickly. The year starts with what multiplying means, and patterns such as 6 × 4 = 4 × 6 cut down the number of facts to learn.

How can I check if my child is on track in 3rd grade math?

Start with the one-minute equal groups 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.