Classes for early development through university prep courses + tutoring, foreign languages, development of artistic expression provided by talented and cooperative teachers.

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

The Future Begins Here

Our Mission

Register Now

215.470.0177
267.991.5281

school@studentacademy.org

11030 Rennard St
Philadelphia, PA 19116

Get Directions

Sunday: 9am - 4pm

Follow Us: