# Maths: Year 4 topics

Below are the list top topics you can expect your child to learn in maths during year 4:

Numbers and comparing

• Write numbers in words
• Ordinal numbers to 100th
• Roman numerals I, V, X, L, C, D, M
• Even and odd I
• Even and odd II
• Skip-counting puzzles
• Number sequences
• Put numbers in order
• Which number is greatest/least?
• Comparing numbers
• Comparing – with addition and subtraction
• Multi-step inequalities

Place values

• Place value models
• Place value names
• Value of a digit
• Identify the digit with a particular place value
• Convert to/from a number
• Convert between place values
• Convert from expanded form
• Convert between standard and expanded form
• Place value word problems

• Add two numbers up to three digits
• Addition input/output tables – up to three digits
• Add two numbers up to three digits – word problems
• Complete the addition sentence – up to three digits
• Balance addition equations – up to three digits
• Add three or more numbers up to three digits each
• Add three or more numbers up to three digits – word problems
• Addition patterns over increasing place values
• Add two numbers with four or more digits
• Addition input/output tables – four or more digits
• Add two numbers with four or more digits – word problems
• Complete the addition sentence – four or more digits
• Balance equations – four or more digits
• Add three or more numbers with four or more digits
• Add three or more numbers with four or more digits – word problems
• Addition: fill in the missing digits

Subtraction

• Subtract numbers up to three digits
• Subtraction input/output tables – up to three digits
• Subtract numbers up to three digits – word problems
• Complete the subtraction sentence – up to three digits
• Balance subtraction equations – up to three digits
• Subtraction patterns over increasing place values
• Subtract numbers with four or more digits
• Subtraction input/output tables – four or more digits
• Subtraction: fill in the missing digits

Multiplication

• Multiplication sentences
• Multiplication – facts to 12
• Multiplication word problems – facts to 12
• Missing factors – facts to 12
• Missing factors – facts to 12 – word problems
• Squares up to 20
• Multiplication patterns over increasing place values
• Multiply numbers ending in zeroes
• Multiply a one-digit number by a larger number
• Multiply a one-digit number by a larger number – word problems
• Multiply three or more numbers
• Multiply three or more numbers – word problems
• Multiplication input/output tables

Multiplication – skill builders

• Multiply by 0
• Multiply by 1
• Multiply by 2
• Multiply by 3
• Multiply by 4
• Multiply by 5
• Multiply by 6
• Multiply by 7
• Multiply by 8
• Multiply by 9
• Multiply by 10
• Multiply by 11
• Multiply by 12

Division

• Division facts to 5
• Division facts to 10
• Division word problems – facts to 10
• Complete the division sentence – facts to 10
• Division facts to 12
• Division patterns over increasing place values
• Divide numbers ending in zeroes
• Divide larger numbers
• Divide larger numbers – word problems
• Complete the division table
• Interpret remainders
• Divisibility rules for 2, 5 and 10
• Division input/output tables

Division – skill builders

• Divide by 1
• Divide by 2
• Divide by 3
• Divide by 4
• Divide by 5
• Divide by 6
• Divide by 7
• Divide by 8
• Divide by 9
• Divide by 10
• Divide by 11
• Divide by 12

Mixed operations

• Addition, subtraction, multiplication and division facts
• Complete the addition, subtraction, multiplication or division sentence
• Add, subtract, multiply and divide
• Addition, subtraction, multiplication and division word problems
• Interpret data in tables
• Multi-step word problems
• Missing operators

Properties

• Addition, subtraction, multiplication and division terms
• Understanding parentheses
• Properties of addition
• Solve using properties of addition
• Properties of multiplication
• Solve using properties of multiplication
• Relate addition and multiplication
• Relate multiplication and division

Equations and variables

• Identify equations
• Solve for the variable – addition and subtraction only
• Solve for the variable – with multiplication and division
• Write variable equations to represent word problems

Estimation and rounding

• Rounding
• Round money amounts
• Rounding puzzles
• Solve inequalities using estimation
• Estimate sums
• Estimate products
• Estimate quotients

Logical reasoning

• Guess the number
• Largest/smallest number possible
• Find the order
• Age puzzles
• Guess two numbers based on sum and difference
• Guess two numbers based on sum, difference, product and quotient

Money

• Count coins and notes – up to £5 note
• Which picture shows more?
• Purchases – do you have enough money – up to £10
• Making change
• Inequalities with money
• Put money amounts in order
• Add and subtract money amounts
• Add money amounts – word problems
• Price lists

Time

• Read clocks and write times
• Elapsed time I
• Elapsed time II
• Read a calendar
• Relate time units
• Time patterns
• Convert between hours and fractions of hours
• Reading schedules – 12-hour time
• Reading schedules – 24-hour time
• Time lines

Data and graphs

• Coordinate graphs I
• Coordinate graphs II
• Graph points on a coordinate plane
• Interpret bar graphs
• Create bar graphs
• Interpret line plots
• Create line plots
• Interpret pictographs
• Create pictographs
• Interpret line graphs
• Create line graphs
• Venn diagrams

Measurement

• Read a thermometer
• Reasonable temperature
• Which metric unit of length is appropriate?
• Compare and convert metric units of length
• Which metric unit of mass is appropriate?
• Compare and convert metric units of mass
• Which metric unit of volume is appropriate?
• Compare and convert metric units of volume
• Conversion tables – metric units
• Which imperial unit of length is appropriate?
• Compare and convert imperial units of length
• Which imperial unit of weight is appropriate?
• Compare and convert imperial units of weight
• Which imperial unit of volume is appropriate?
• Compare and convert imperial units of volume
• Conversion tables – imperial units

Geometry

• Identify planar and solid shapes
• Count and compare sides, edges, faces and vertices
• Symmetry
• Similar and congruent
• Reflection, rotation and translation
• Perimeter
• Perimeter: find the missing side length
• Area
• Volume
• Angles: greater than, less than or equal to a right angle
• Angles of 90, 180, 270 and 360 degrees
• Lines, line segments and rays
• Is it a polygon?
• Triangles: equilateral, isosceles and scalene
• Triangles: acute, right and obtuse

Fractions and mixed numbers

• Fraction review
• Fraction review – word problems
• Fractions on number lines
• Compare fractions
• Equivalent fractions: type the missing numerator or denominator
• Equivalent fractions: choose the equivalent fraction
• Reducing fractions to lowest terms
• Put fractions in order
• Fractions of a number
• Fractions of a number – word problems
• Mixed numbers: what mixed number is shown?
• Mixed numbers: write the mixed number in words

Decimals

• What decimal number is illustrated?
• Convert between decimals and fractions
• Understanding decimals expressed in words
• Number sequences involving decimals
• Inequalities with decimals
• Put decimal numbers in order
• Add and subtract decimals
• Add and subtract decimals – word problems
• Add three or more decimal numbers

Probability and statistics

• Certain, probable, unlikely and impossible
• Mean and mode
• Interpret charts to find mean and mode
• Combinations