# Fourth grade math

Fourth grade math

Here is a list of all of the math skills students learn in fourth grade! These skills are organized into categories, and you can move your mouse over any skill name to preview the skill. To start practicing, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Number sense

A.1

Value of a digitA.2

Convert between standard and expanded formA.3

Place value namesA.4

Convert between place valuesA.5

Choose word names for numbers up to one thousandA.6

Write word names for numbers up to one thousandA.7

Choose word names for numbers up to one hundred millionA.8

Write word names for numbers up to one hundred millionA.9

Roman numeralsA.10

Prime and composite – up to 20A.11

Prime and composite – up to 100A.12

RoundingA.13

Even or odd: arithmetic rulesA.14

Inequalities with number linesA.15

Compare numbers up to one billion

## Addition

B.1

Add numbers up to millionsB.2

Add numbers up to millions: word problemsB.3

Addition: fill in the missing digitsB.4

Properties of additionB.5

Add 3 or more numbers up to millionsB.6

Addition patterns over increasing place valuesB.7

Choose numbers with a particular sumB.8

Estimate sumsB.9

Estimate sums: word problems

## Subtraction

C.1

Subtract numbers up to millionsC.2

Subtract numbers up to millions: word problemsC.3

Subtraction: fill in the missing digitsC.4

Subtraction patterns over increasing place valuesC.5

Choose numbers with a particular differenceC.6

Estimate differencesC.7

Estimate differences: word problems

## Multiplication

D.1

Multiplication facts to 12D.2

Multiplication facts up to 12: find the missing factorD.3

Compare numbers using multiplicationD.4

Choose the multiples of a given number up to 12D.5

Identify factorsD.6

Multiply 1-digit numbers by 2-digit numbersD.7

Multiply 1-digit numbers by 3-digit or 4-digit numbersD.8

Multiply 1-digit numbers by larger numbersD.9

Multiplication patterns over increasing place valuesD.10

Properties of multiplicationD.11

Distributive property: find the missing factorD.12

Multiply using the distributive propertyD.13

Estimate products – multiply by 1-digit numbersD.14

Estimate products – multiply by larger numbersD.15

Estimate products: word problemsD.16

Box multiplicationD.17

Lattice multiplicationD.18

Multiply a 2-digit number by a 2-digit number: complete the missing stepsD.19

Multiply a 2-digit number by a 2-digit numberD.20

Multiply a 2-digit number by a 2-digit number: word problemsD.21

Choose numbers with a particular productD.22

Multiply a 2-digit number by a larger number: complete the missing stepsD.23

Multiply a 2-digit number by a larger numberD.24

Multiply a 2-digit number by a larger number: word problemsD.25

Multiply numbers ending in zeroesD.26

Multiply numbers ending in zeroes: word problemsD.27

Multiply three numbers up to two digits eachD.28

Multiply three or more numbers: word problemsD.29

Inequalities with multiplicationD.30

Multiplication input/output tablesD.31

Multiplication input/output tables: find the rule

## Division

E.1

Division facts to 12E.2

Division facts to 12: word problemsE.3

Properties of divisionE.4

Divide 2-digit numbers by 1-digit numbersE.5

Divide 2-digit numbers by 1-digit numbers: word problemsE.6

Divide 2-digit numbers by 1-digit numbers: complete the tableE.7

Divide 2-digit numbers by 1-digit numbers: interpret remaindersE.8

Divide larger numbers by 1-digit numbersE.9

Divide larger numbers by 1-digit numbers: word problemsE.10

Divide larger numbers by 1-digit numbers: complete the tableE.11

Divide larger numbers by 1-digit numbers: interpret remaindersE.12

Choose numbers with a particular quotientE.13

Division patterns over increasing place valuesE.14

Divide numbers ending in zeroes by 1-digit numbersE.15

Divide by 1-digit numbers: estimate quotientsE.16

Divisibility rulesE.17

Divisibility rules: word problemsE.18

Divide numbers ending in zeroes by multi-digit numbersE.19

Divide numbers ending in zeroes by multi-digit numbers: word problemsE.20

Divide 2-digit numbers by multiples of 10E.21

Divide by 2-digit numbersE.22

Divide by 2-digit numbers: word problemsE.23

Divide larger numbers by 2-digit numbersE.24

Divide larger numbers by 2-digit numbers: word problemsE.25

Inequalities with divisionE.26

Estimate quotients

## Mixed operations

F.1

Add, subtract, multiply, and divideF.2

Addition, subtraction, multiplication, and division word problemsF.3

Estimate sums, differences, products, and quotients: word problemsF.4

Word problems with extra or missing informationF.5

Solve word problems using guess-and-checkF.6

Multi-step word problemsF.7

Choose numbers with a particular sum, difference, product, or quotientF.8

Mentally add and subtract numbers ending in zeroesF.9

Write numerical expressionsF.10

Perform multiple operations with whole numbersF.11

Inequalities involving addition, subtraction, multiplication, and division

## Variable expressions

G.1

Write variable expressionsG.2

Write variable expressions: word problemsG.3

Evaluate variable expressionsG.4

Write variable equations to represent word problemsG.5

Solve variable equations

## Functions

H.1

Input/output tables with addition, subtraction, multiplication, and divisionH.2

Complete a table for a two-variable relationshipH.3

Write a two-variable equationH.4

Graph a two-variable relationship

## Coordinate plane

I.1

Objects on a coordinate planeI.2

Graph points on a coordinate planeI.3

Follow directions on a coordinate planeI.4

Coordinate planes as maps

## Data and graphs

J.1

Read a tableJ.2

Interpret line graphsJ.3

Create line graphsJ.4

Interpret bar graphsJ.5

Create bar graphsJ.6

Interpret line plotsJ.7

Create line plotsJ.8

Create and interpret line plots with fractionsJ.9

Frequency chartsJ.10

Stem-and-leaf plotsJ.11

Circle graphsJ.12

Choose the best type of graph

## Logical reasoning

K.1

Place value word problemsK.2

Find two numbers based on sum and differenceK.3

Find two numbers based on sum, difference, product, and quotientK.4

Find the order

## Patterns and sequences

L.1

Find the next shape in a repeating patternL.2

Complete a repeating patternL.3

Make a repeating patternL.4

Find the next row in a growing pattern of shapesL.5

Complete an increasing number patternL.6

Complete a geometric number patternL.7

Use a rule to complete a number patternL.8

Number patterns: word problemsL.9

Number patterns: mixed review

## Money

M.1

Count coins and bills – up to $5 billM.2

Compare money amountsM.3

Round money amountsM.4

Add and subtract money amountsM.5

Add, subtract, multiply, and divide money amountsM.6

Making changeM.7

Price lists with addition and subtractionM.8

Price lists with multiplicationM.9

Unit prices

## Units of measurement

N.1

Measure using an inch rulerN.2

Which customary unit is appropriate?N.3

Compare and convert customary units of lengthN.4

Compare and convert customary units of weightN.5

Compare and convert customary units of volumeN.6

Compare and convert customary unitsN.7

Conversion tables – customary unitsN.8

Compare customary units by multiplyingN.9

Convert mixed customary unitsN.10

Add and subtract mixed customary unitsN.11

Which metric unit is appropriate?N.12

Compare and convert metric units of lengthN.13

Compare and convert metric units of weightN.14

Compare and convert metric units of volumeN.15

Compare and convert metric unitsN.16

Conversion tables – metric unitsN.17

Convert metric mixed unitsN.18

Add and subtract metric mixed unitsN.19

Convert between metric and customary units

## Time

O.1

Convert time unitsO.2

Add and subtract mixed time unitsO.3

Fractions of time unitsO.4

Time zonesO.5

Elapsed timeO.6

Elapsed time: word problemsO.7

Find start and end times: multi-step word problemsO.8

Transportation schedulesO.9

Time patterns

## Fraction equivalence and ordering

P.1

Fractions reviewP.2

Fractions of a whole: word problemsP.3

Fractions of a group: word problemsP.4

Mixed number reviewP.5

Find equivalent fractions using area modelsP.6

Graph equivalent fractions on number linesP.7

Equivalent fractionsP.8

Fractions with denominators of 10, 100, and 1000P.9

Patterns of equivalent fractionsP.10

Write fractions in lowest termsP.11

Compare fractions with like numerators or denominators using modelsP.12

Graph and compare fractions with like numerators or denominators on number linesP.13

Compare fractions with like numerators or denominatorsP.14

Compare fractions using modelsP.15

Benchmark fractionsP.16

Compare fractions using benchmarksP.17

Compare fractionsP.18

Compare fractions in recipesP.19

Graph and order fractions on number linesP.20

Order fractions with like numerators or denominatorsP.21

Order fractionsP.22

Find smaller or larger fractionsP.23

Convert between improper fractions and mixed numbers

## Add and subtract fractions with like denominators

Q.1

Decompose fractions into unit fractionsQ.2

Decompose fractionsQ.3

Decompose fractions multiple waysQ.4

Add fractions with like denominators using number linesQ.5

Add fractions with like denominatorsQ.6

Subtract fractions with like denominators using number linesQ.7

Subtract fractions with like denominatorsQ.8

Add and subtract fractions with like denominators using number linesQ.9

Add and subtract fractions with like denominatorsQ.10

Compare sums and differences of fractions with like denominatorsQ.11

Add and subtract fractions with like denominators: word problemsQ.12

Add and subtract fractions with like denominators in recipesQ.13

Add 3 or more fractions with like denominatorsQ.14

Add and subtract mixed numbers with like denominators

## Add and subtract fractions with unlike denominators

R.1

Add fractions with unlike denominators using modelsR.2

Add fractions with unlike denominatorsR.3

Subtract fractions with unlike denominators using modelsR.4

Subtract fractions with unlike denominatorsR.5

Add fractions with denominators of 10 and 100R.6

Add and subtract fractions with denominators of 10, 100, and 1000R.7

Add and subtract fractions with unlike denominators: word problemsR.8

Compare sums of unit fractionsR.9

Compare differences of unit fractionsR.10

Compare sums and differences of unit fractionsR.11

Add 3 or more fractions with unlike denominatorsR.12

Add 3 or more fractions with like and unlike denominators: word problemsR.13

Find the missing numerator or denominator in addition and subtraction sentencesR.14

Add and subtract mixed numbers with unlike denominatorsR.15

Add and subtract mixed numbers with like and unlike denominators: word problemsR.16

Compare sums and differences of fractionsR.17

Add and subtract fractions with unlike denominators in recipes

## Multiply fractions

S.1

Multiply unit fractions by whole numbers using number linesS.2

Multiply unit fractions by whole numbers using modelsS.3

Multiples of fractionsS.4

Multiply unit fractions and whole numbers: sortingS.5

Multiply unit fractions by whole numbersS.6

Multiply unit fractions by whole numbers: word problemsS.7

Multiply fractions by whole numbers using number linesS.8

Multiply fractions by whole numbers using modelsS.9

Multiply fractions and whole numbers: sortingS.10

Multiply fractions by whole numbersS.11

Scaling whole numbers by fractionsS.12

Multiply fractions by whole numbers: word problemsS.13

Multiply fractions and mixed numbers by whole numbers in recipesS.14

Fractions of a numberS.15

Fractions of a number: word problems

## Decimals

T.1

What decimal number is illustrated?T.2

Model decimals and fractionsT.3

Understanding decimals expressed in wordsT.4

Place values in decimal numbersT.5

Equivalent decimalsT.6

Graph decimals on number linesT.7

Decimal number linesT.8

Graph fractions as decimals on number linesT.9

Convert fractions and mixed numbers to decimals – denominators of 10 and 100T.10

Convert fractions and mixed numbers to decimalsT.11

Convert decimals to fractions and mixed numbersT.12

Convert decimals between standard and expanded form using fractionsT.13

Round decimalsT.14

Compare decimals on number linesT.15

Compare decimal numbersT.16

Put decimal numbers in order IT.17

Put decimal numbers in order IIT.18

Compare decimals and fractions on number linesT.19

Compare decimals and fractionsT.20

Number sequences involving decimals

## Add and subtract decimals

U.1

Add decimal numbersU.2

Subtract decimal numbersU.3

Add and subtract decimals: word problemsU.4

Choose decimals with a particular sum or differenceU.5

Add 3 or more decimalsU.6

Add 3 or more decimals: word problemsU.7

Complete the addition or subtraction sentenceU.8

Inequalities with addition and subtractionU.9

Estimate sums and differences of decimalsU.10

Solve decimal problems using diagrams

## Probability and statistics

V.1

Understanding probabilityV.2

Find the probabilityV.3

Make predictionsV.4

Mean, median, mode, and rangeV.5

Interpret charts to find mean, median, mode, and rangeV.6

Combinations

## Two-dimensional figures

W.1

Open and closed shapesW.2

Is it a polygon?W.3

Number of sides in polygonsW.4

Lines, line segments, and raysW.5

Parallel, perpendicular, and intersecting linesW.6

Identify congruent figuresW.7

Parts of a circle

## Triangles and quadrilaterals

X.1

Acute, obtuse, and right trianglesX.2

Scalene, isosceles, and equilateral trianglesX.3

Classify trianglesX.4

Parallel sides in quadrilateralsX.5

Identify parallelogramsX.6

Identify trapezoidsX.7

Identify rectanglesX.8

Identify rhombusesX.9

Classify quadrilaterals

## Symmetry

Y.1

Identify lines of symmetryY.2

Draw lines of symmetryY.3

Count lines of symmetryY.4

Rotational symmetry

## Angles

Z.1

Acute, right, obtuse, and straight anglesZ.2

Angles of 90, 180, 270, and 360 degreesZ.3

Measure angles with a protractorZ.4

Estimate angle measurementsZ.5

Adjacent angles

## Three-dimensional figures

AA.1

Identify three-dimensional figuresAA.2

Count vertices, edges, and facesAA.3

Identify faces of three-dimensional figuresAA.4

Properties of three-dimensional figuresAA.5

Nets of three-dimensional figures

## Geometric measurement

BB.1

PerimeterBB.2

Perimeter: find the missing side lengthsBB.3

Select figures with a given areaBB.4

Select two figures with the same areaBB.5

Create figures with a given areaBB.6

Find the area or missing side length of a rectangleBB.7

Area of complex figures (with all right angles)BB.8

Area between two rectanglesBB.9

Compare area and perimeter of two figuresBB.10

Relationship between area and perimeterBB.11

Area and perimeter: word problemsBB.12

Rectangles: relationship between perimeter and area word problemsBB.13

VolumeBB.14

Use area and perimeter to determine costBB.15

Calculate radius, diameter, and circumference