## Math categories for 4th grade

Free Math Games offers 18 top level categories for 4th grade. Taken together, these categories cover the majority of the US math curriculum for 4th grade.

See the list of topics for 4th grade or select a math category from the table below to see the available sub-categories and topics, or go directly to the 4th grade games, lessons and tests.

## Program of study for 4th grade

The CCSS core curriculum for 4th grade covers a range of categories, including:

• Number and place value
Students further develop their understanding of place value, including numbers up to one million. They work with larger numbers and deepen their knowledge of number patterns and sequences. They also explore factors, multiples, prime numbers, and square numbers.

• Addition, subtraction, multiplication, and division
Students continue to refine their arithmetic skills and mental calculations. They learn efficient methods for mental calculations and develop strategies for solving multi-step problems involving these operations. They also begin to work with decimal numbers and fractions in calculations.

• Fractions and Decimals
Students deepen their understanding of fractions and decimals. They learn to compare and order fractions and decimals, convert between these forms, and solve problems involving fractions and decimals. They also explore adding, subtracting, multiplying, and dividing fractions.

• Ratio and proportion
Students will learn about the relationships between two or more quantities. They will also learn how to use ratio and proportion to solve problems.

• Measurement
Students explore various aspects of measurement, including length, mass, volume, and time. They learn to convert between different units of measurement.

• Geometry & shapes
Students will learn to identify, classify and describe 2D and 3D shapes and their nets. They explore angles, including right angles, acute angles, and obtuse angles. They also learn about lines of symmetry and types of polygons.

• Position & direction
Students begin to explore transformations, such as reflections, rotations, and translations.

• Statistics
Students learn to collect and interpret data using tables, charts, and graphs and use them to analyze data and draw conclusions.

• Algebra
Students will learn about basic algebraic variables and their use in simple equations. They apply these skills to formulae for perimeter and area of squares and rectangles.

• Problem-solving
Students will learn how to solve mathematical problems using a variety of methods. They will also learn how to apply mathematical concepts to real-world problems.

## Math topic index for 4th grade

Below is the complete list of topics for 4th grade arranged by category. Click on a topic to view more information.

Counting
Steps of 5 into negatives
Steps of 3 into negatives
Powers of 10
• Count up in steps of 10³
Identify the missing numbers in these sequences of steps up of 10³ from a given base number
• Steps up of 10⁴
Identify the correct missing number in steps up of 10⁴ from a given base number
• Steps up of 10⁵
Identify the correct missing number in steps up of 10⁵ from a given base number
• Steps down of 10³
Identify the missing number in these steps down of 10³ from a given base number
• Steps down of 10⁴
Identify the missing number in these steps down of 10⁴ from a given base number
• Steps down of 10⁵
Identify the missing number in these steps down of 10⁵ from a given base number
In decimal steps
Write large numbers
Interpreting a number
Temperature graph

Comparing numbers
Order numbers to 1 million
Order decimal numbers
Order positives & negatives
Using inequality symbols
Money
Naming numbers

Pattern
Next number
Missing term
• Prime numbers
Find the missing number in each of these prime number patterns
• Square numbers
Identify the missing number in these square number patterns
• Cube numbers
Identify the missing cube number in these patterns
Describing a pattern

Place value
Identify the place value
Rounding numbers
Change the place value

Number bonding
Strings of numbers
Formal written method
Word problems

Subtraction
Mental method
Progressive method
Formal written method
Word problems
Money left

Subtract 79, 89, 99
Subtract 71, 81, 91
• Subtracting 71
Subtract 71 by subtracting 70 and then subtracting 1 more
• Subtracting 81
Subtract 81 by subtracting 80 and then subtracting 1 more
• Subtracting 91
Subtract 91 by subtracting 90 and then subtracting 1 more
Number machine
Add and subtract to find the answer to these 2 step problems
• Order of operations
Identify which pairs of operations produce the same answer
Find the missing addition in these 2 step add and subtract number machine operations
• Missing subtraction
Find the missing subtraction value in these 2 step add and subtract operations

Multiplication
Number facts
Identifying multiples
Mental method
Formal written method
Number machine

Division
Mental method
• Divide 1-digit numbers
Use mental calculation to divide single-digit numbers by single-digit numbers e.g. 9 ÷ 3
• Divide by 5
Use mental calculations to divide numbers up to 250 by 5
• Divide by 10
Use mental calculations to divide numbers up to 10,000 by 10
• Divide by 100
Use mental calculations to divide numbers up to 20,000 by 100
• Divide by 1000
Use mental calculations to divide numbers up to 200,000 by 1000
• Divide 2-digits by 1-digit
Use mental calculations to divide double-digit numbers less than 50 by single-digit numbers
Formal short method
Formal short with remainder
Reverse times tables
Number machine

Multiply + Divide
Matching Pairs
Number machine
Factors
Prime factors
Scale factors
• Scaling up costs
Use multiplication to scale up the cost for the given quantities of goods
• Scaling down costs
Use division to scale down the cost for the given quantities of goods
Distributive laws
Best Price
• Dividing by 8
Use division by 8 to work out the best value for money item
• Dividing by 10
Use division by 10 to work out the best value for money item

Fractions
Compare fractions
Fractions of amounts
Convert fractions
Subtract fractions
Multiply fractions
Fractions and decimals

Decimals
Round decimals
Add 1 decimal place decimals by arranging them in columns and lining up the decimal points
Add 2 decimal place decimals by arranging them in columns and lining up the decimal points
Add 3 decimal place decimals in columns by lining up the decimal points of each number
• Complements of number one
Identify the missing decimal complement to 1
Subtract decimals
• Subtract 1dp decimals
Subtract 1 decimal place decimals by arranging them in columns and lining up the decimal points
• Subtract 2dp decimals
Subtract 2 decimal place decimals by arranging them in columns and lining up the decimal points
• Subtract 3dp decimals
Subtract 3 decimal place decimals by arranging them in columns and lining up the decimal points
Decimal puzzles

Percentages
Name percentages
Find percentages
Percent, fractions, decimals

Measurements
Estimate
Convert units
Approximate equivalence
Calculate & measure
Calculate & compare
Compare: weight
Compare: length
Solving problems

Shapes
Identifying shapes
Properties of 2-D shapes
Angles
Conventional markings

Position + Direction
Translate a shape
• Right and up
Identify the shape that has moved X squares right and Y squares up
• Right and down
Identify which shape has moved X squares right and Y squares down
• Left and down
Identify the shape that has moved X squares left and Y squares down
Describe the translation
• Right and up or down
Describe the translation of the pink square to the green square using right and up or down
• Left and up or down
Describe the translation of the pink square to the green square using left and up or down
Reflection

Statistics
Timetables
Tables
Line graphs
Representation of data

Algebra
Equations
Formulae: perimeter
Formulae: area
• Area of a square
Calculate the area of the square using the formula area A = length x length
• Area of a rectangle
Calculate the area of rectangles using the formula area A = length L x width W
Missing angle