#### Here is a list of all of the math skills students learn in fourth grade!

### Geometric measurement

- A.1Value of a digit
- A.2Convert between standard and expanded form
- A.3Place value names
- A.4Convert between place values
- A.5Choose word names for numbers up to one thousand
- A.6Write word names for numbers up to one thousand
- A.7Choose word names for numbers up to one hundred million
- A.8Write word names for numbers up to one hundred million
- A.9Roman numerals
- A.10Prime and composite - up to 20
- A.11Prime and composite - up to 100
- A.12Rounding
- A.13Even or odd: arithmetic rules
- A.14Inequalities with number lines
- A.15Compare numbers up to one billion

### Addition

- B.1Add numbers up to millions
- B.2Add numbers up to millions: word problems
- B.3Addition: fill in the missing digits
- B.4Properties of addition
- B.5Add 3 or more numbers up to millions
- B.6Addition patterns over increasing place values
- B.7Choose numbers with a particular sum
- B.8Estimate sums
- B.9Estimate sums: word problems

### Subtraction

- C.1Subtract numbers up to millions
- C.2Subtract numbers up to millions: word problems
- C.3Subtraction: fill in the missing digits
- C.4Subtraction patterns over increasing place values
- C.5Choose numbers with a particular difference
- C.6Estimate differences
- C.7Estimate differences: word problems

### Multiplication

- D.1Multiplication facts to 12
- D.2Multiplication facts up to 12: find the missing factor
- D.3Choose the multiples of a given number up to 12
- D.4Identify factors
- D.5Multiply 1-digit numbers by 2-digit numbers
- D.6Multiply 1-digit numbers by 3-digit or 4-digit numbers
- D.7Multiply 1-digit numbers by larger numbers
- D.8Multiplication patterns over increasing place values
- D.9Properties of multiplication
- D.10Distributive property: find the missing factor
- D.11Multiply using the distributive property
- D.12Estimate products - multiply by 1-digit numbers
- D.13Estimate products - multiply by larger numbers
- D.14Estimate products: word problems
- D.15Box multiplication
- D.16Lattice multiplication
- D.17Multiply a 2-digit number by a 2-digit number: complete the missing steps
- D.18Multiply a 2-digit number by a 2-digit number
- D.19Multiply a 2-digit number by a 2-digit number: word problems
- D.20Choose numbers with a particular product
- D.21Multiply a 2-digit number by a larger number: complete the missing steps
- D.22Multiply a 2-digit number by a larger number
- D.23Multiply a 2-digit number by a larger number: word problems
- D.24Multiply numbers ending in zeroes
- D.25Multiply numbers ending in zeroes: word problems
- D.26Multiply three numbers up to two digits each
- D.27Multiply three or more numbers: word problems
- D.28Inequalities with multiplication
- D.29Multiplication input/output tables
- D.30Multiplication input/output tables: find the rule

### Division

- E.1Division facts to 12
- E.2Division facts to 12: word problems
- E.3Properties of division
- E.4Divide 2-digit numbers by 1-digit numbers
- E.5Divide 2-digit numbers by 1-digit numbers: word problems
- E.6Divide 2-digit numbers by 1-digit numbers: complete the table
- E.7Divide 2-digit numbers by 1-digit numbers: interpret remainders
- E.8Divide larger numbers by 1-digit numbers
- E.9Divide larger numbers by 1-digit numbers: word problems
- E.10Divide larger numbers by 1-digit numbers: complete the table
- E.11Divide larger numbers by 1-digit numbers: interpret remainders
- E.12Choose numbers with a particular quotient
- E.13Division patterns over increasing place values
- E.14Divide numbers ending in zeroes by 1-digit numbers
- E.15Divide by 1-digit numbers: estimate quotients
- E.16Divisibility rules
- E.17Divisibility rules: word problems
- E.18Divide numbers ending in zeroes by multi-digit numbers
- E.19Divide numbers ending in zeroes by multi-digit numbers: word problems
- E.20Divide 2-digit numbers by multiples of 10
- E.21Divide by 2-digit numbers
- E.22Divide by 2-digit numbers: word problems
- E.23Divide larger numbers by 2-digit numbers
- E.24Divide larger numbers by 2-digit numbers: word problems
- E.25Inequalities with division
- E.26Estimate quotients

### Mixed operations

- F.1Add, subtract, multiply, and divide
- F.2Addition, subtraction, multiplication, and division word problems
- F.3Estimate sums, differences, products, and quotients: word problems
- F.4Word problems with extra or missing information
- F.5Solve word problems using guess-and-check
- F.6Multi-step word problems
- F.7Choose numbers with a particular sum, difference, product, or quotient
- F.8Mentally add and subtract numbers ending in zeroes
- F.9Write numerical expressions
- F.10Perform multiple operations with whole numbers
- F.11Inequalities involving addition, subtraction, multiplication, and division

### Variable expressions

- G.1Write variable expressions
- G.2Write variable expressions: word problems
- G.3Evaluate variable expressions
- G.4Write variable equations to represent word problems
- G.5Solve variable equations

### Functions

- H.1Input/output tables with addition, subtraction, multiplication, and division
- H.2Complete a table for a two-variable relationship
- H.3Write a two-variable equation
- H.4Graph a two-variable relationship

### Coordinate plane

- I.1Objects on a coordinate plane
- I.2Graph points on a coordinate plane
- I.3Follow directions on a coordinate plane
- I.4Coordinate planes as maps

### Data and graphs

- J.1Read a table
- J.2Interpret line graphs
- J.3Create line graphs
- J.4Interpret bar graphs
- J.5Create bar graphs
- J.6Interpret line plots
- J.7Create line plots
- J.8Create and interpret line plots with fractions
- J.9Frequency charts
- J.10Stem-and-leaf plots
- J.11Circle graphs
- J.12Choose the best type of graph

### Logical reasoning

- K.1Place value word problems
- K.2Find two numbers based on sum and difference
- K.3Find two numbers based on sum, difference, product, and quotient
- K.4Find the order

### Patterns and sequences

- L.1Find the next shape in a repeating pattern
- L.2Complete a repeating pattern
- L.3Make a repeating pattern
- L.4Find the next row in a growing pattern of shapes
- L.5Complete an increasing number pattern
- L.6Complete a geometric number pattern
- L.7Use a rule to complete a number pattern
- L.8Number patterns: word problems
- L.9Number patterns: mixed review

### Money

- M.1Count coins and bills - up to $5 bill
- M.2Compare money amounts
- M.3Round money amounts
- M.4Add and subtract money amounts
- M.5Add, subtract, multiply, and divide money amounts
- M.6Making change
- M.7Price lists with addition and subtraction
- M.8Price lists with multiplication
- M.9Unit prices

### Units of measurement

- N.1Measure using an inch ruler
- N.2Which customary unit is appropriate?
- N.3Compare and convert customary units of length
- N.4Compare and convert customary units of weight
- N.5Compare and convert customary units of volume
- N.6Compare and convert customary units
- N.7Conversion tables - customary units
- N.8Compare customary units by multiplying
- N.9Convert mixed customary units
- N.10Add and subtract mixed customary units
- N.11Which metric unit is appropriate?
- N.12Compare and convert metric units of length
- N.13Compare and convert metric units of weight
- N.14Compare and convert metric units of volume
- N.15Compare and convert metric units
- N.16Conversion tables - metric units
- N.17Convert metric mixed units
- N.18Add and subtract metric mixed units
- N.19Convert between metric and customary units

### Time

- O.1Convert time units
- O.2Add and subtract mixed time units
- O.3Fractions of time units
- O.4Time zones
- O.5Elapsed time
- O.6Elapsed time: word problems
- O.7Find start and end times: multi-step word problems
- O.8Transportation schedules
- O.9Time patterns

### Fraction equivalence and ordering

- P.1Fractions review
- P.2Fractions of a whole: word problems
- P.3Fractions of a group: word problems
- P.4Mixed number review
- P.5Find equivalent fractions using area models
- P.6Graph equivalent fractions on number lines
- P.7Equivalent fractions
- P.8Fractions with denominators of 10, 100, and 1000
- P.9Patterns of equivalent fractions
- P.10Write fractions in lowest terms
- P.11Compare fractions with like numerators or denominators using models
- P.12Graph and compare fractions with like numerators or denominators on number lines
- P.13Compare fractions with like numerators or denominators
- P.14Compare fractions using models
- P.15Benchmark fractions
- P.16Compare fractions using benchmarks
- P.17Compare fractions
- P.18Compare fractions in recipes
- P.19Graph and order fractions on number lines
- P.20Order fractions with like numerators or denominators
- P.21Order fractions
- P.22Find smaller or larger fractions
- P.23Convert between improper fractions and mixed numbers

### Add and subtract fractions with like denominators

- Q.1Decompose fractions into unit fractions
- Q.2Decompose fractions
- Q.3Decompose fractions multiple ways
- Q.4Add fractions with like denominators using number lines
- Q.5Add fractions with like denominators
- Q.6Subtract fractions with like denominators using number lines
- Q.7Subtract fractions with like denominators
- Q.8Add and subtract fractions with like denominators using number lines
- Q.9Add and subtract fractions with like denominators
- Q.10Compare sums and differences of fractions with like denominators
- Q.11Add and subtract fractions with like denominators: word problems
- Q.12Add and subtract fractions with like denominators in recipes
- Q.13Add 3 or more fractions with like denominators
- Q.14Add and subtract mixed numbers with like denominators

### Add and subtract fractions with unlike denominators

- R.1Add fractions with unlike denominators using models
- R.2Add fractions with unlike denominators
- R.3Subtract fractions with unlike denominators using models
- R.4Subtract fractions with unlike denominators
- R.5Add fractions with denominators of 10 and 100
- R.6Add and subtract fractions with denominators of 10, 100, and 1000
- R.7Add and subtract fractions with unlike denominators: word problems
- R.8Compare sums of unit fractions
- R.9Compare differences of unit fractions
- R.10Compare sums and differences of unit fractions
- R.11Add 3 or more fractions with unlike denominators
- R.12Add 3 or more fractions with like and unlike denominators: word problems
- R.13Find the missing numerator or denominator in addition and subtraction sentences
- R.14Add and subtract mixed numbers with unlike denominators
- R.15Add and subtract mixed numbers with like and unlike denominators: word problems
- R.16Compare sums and differences of fractions
- R.17Add and subtract fractions with unlike denominators in recipes

### Multiply fractions

- S.1Multiply unit fractions by whole numbers using number lines
- S.2Multiply unit fractions by whole numbers using models
- S.3Multiples of fractions
- S.4Multiply unit fractions and whole numbers: sorting
- S.5Multiply unit fractions by whole numbers
- S.6Multiply unit fractions by whole numbers: word problems
- S.7Multiply fractions by whole numbers using number lines
- S.8Multiply fractions by whole numbers using models
- S.9Multiply fractions and whole numbers: sorting
- S.10Multiply fractions by whole numbers
- S.11Scaling whole numbers by fractions
- S.12Multiply fractions by whole numbers: word problems
- S.13Multiply fractions and mixed numbers by whole numbers in recipes
- S.14Fractions of a number
- S.15Fractions of a number: word problems

### Decimals

- T.1What decimal number is illustrated?
- T.2Model decimals and fractions
- T.3Understanding decimals expressed in words
- T.4Place values in decimal numbers
- T.5Equivalent decimals
- T.6Graph decimals on number lines
- T.7Decimal number lines
- T.8Graph fractions as decimals on number lines
- T.9Convert fractions and mixed numbers to decimals - denominators of 10 and 100
- T.10Convert fractions and mixed numbers to decimals
- T.11Convert decimals to fractions and mixed numbers
- T.12Convert decimals between standard and expanded form using fractions
- T.13Round decimals
- T.14Compare decimals on number lines
- T.15Compare decimal numbers
- T.16Put decimal numbers in order I
- T.17Put decimal numbers in order II
- T.18Compare decimals and fractions on number lines
- T.19Compare decimals and fractions
- T.20Number sequences involving decimals

### Add and subtract decimals

- U.1Add decimal numbers
- U.2Subtract decimal numbers
- U.3Add and subtract decimals: word problems
- U.4Choose decimals with a particular sum or difference
- U.5Add 3 or more decimals
- U.6Add 3 or more decimals: word problems
- U.7Complete the addition or subtraction sentence
- U.8Inequalities with addition and subtraction
- U.9Estimate sums and differences of decimals
- U.10Solve decimal problems using diagrams

### Probability and statistics

- V.1Understanding probability
- V.2Find the probability
- V.3Make predictions
- V.4Mean, median, mode, and range
- V.5Interpret charts to find mean, median, mode, and range
- V.6Combinations

### Two-dimensional figures

- W.1Open and closed shapes
- W.2Is it a polygon?
- W.3Number of sides in polygons
- W.4Lines, line segments, and rays
- W.5Parallel, perpendicular, and intersecting lines
- W.6Identify congruent figures
- W.7Parts of a circle

### Triangles and quadrilaterals

- X.1Acute, obtuse, and right triangles
- X.2Scalene, isosceles, and equilateral triangles
- X.3Classify triangles
- X.4Parallel sides in quadrilaterals
- X.5Identify parallelograms
- X.6Identify trapezoids
- X.7Identify rectangles
- X.8Identify rhombuses
- X.9Classify quadrilaterals

### Symmetry

- Y.1Identify lines of symmetry
- Y.2Draw lines of symmetry
- Y.3Count lines of symmetry
- Y.4Rotational symmetry

### Angles

- Z.1Acute, right, obtuse, and straight angles
- Z.2Angles of 90, 180, 270, and 360 degrees
- Z.3Measure angles with a protractor
- Z.4Estimate angle measurements
- Z.5Adjacent angles

### Three-dimensional figures

- AA.1Identify three-dimensional figures
- AA.2Count vertices, edges, and faces
- AA.3Identify faces of three-dimensional figures
- AA.4Properties of three-dimensional figures
- AA.5Nets of three-dimensional figures

### Geometric measurement

- BB.1Perimeter
- BB.2Perimeter: find the missing side lengths
- BB.3Select figures with a given area
- BB.4Select two figures with the same area
- BB.5Create figures with a given area
- BB.6Find the area or missing side length of a rectangle
- BB.7Area of complex figures (with all right angles)
- BB.8Area between two rectangles
- BB.9Compare area and perimeter of two figures
- BB.10Relationship between area and perimeter
- BB.11Area and perimeter: word problems
- BB.12Volume
- BB.13Use area and perimeter to determine cost
- BB.14Calculate radius, diameter, and circumference