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4th grade math

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.

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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
Read 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

Addition
Number bonding
Strings of numbers
Round + adjust to add
Formal written method
Matching additions
Word problems

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

Add + Subtract
Add 79, 89, 99
Add 71, 81, 91
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
    Add and subtract to find the answer to these 2 step problems
  • Order of operations
    Identify which pairs of operations produce the same answer
  • Missing addition
    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
Checking answers

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
Checking answers
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
Add fractions
Subtract fractions
Multiply fractions
Fractions and decimals

Decimals
Read & write decimals
Round decimals
Add decimals
  • Add 1dp decimals
    Add 1 decimal place decimals by arranging them in columns and lining up the decimal points
  • Add 2dp decimals
    Add 2 decimal place decimals by arranging them in columns and lining up the decimal points
  • Add 3dp decimals
    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
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