Maths: Year 5 topics

Find out what topics your child will likely learn during year 5:

Number sense

• Place values
• Convert between place values
• Word names for numbers
• Ordinal numbers to 100th
• Roman numerals
• Prime and composite numbers
• Rounding
• Even and odd
• Inequalities with number lines
• Compare numbers up to five digits

Addition

• Add numbers up to five digits
• Add numbers up to five digits: word problems
• Addition: fill in the missing digits
• Properties of addition
• Add three or more numbers up to five digits each
• Addition patterns over increasing place values
• Choose numbers with a particular sum
• Estimate sums
• Estimate sums: word problems

Subtraction

• Subtract numbers up to five digits
• Subtract numbers up to five digits: word problems
• Subtraction: fill in the missing digits
• Subtraction patterns over increasing place values
• Choose numbers with a particular difference
• Estimate differences
• Estimate differences: word problems

Multiplication

• Multiplication facts to 10
• Choose the multiples of a given number up to 12
• Multiply one-digit numbers by larger numbers
• Multiplication patterns over increasing place values
• Properties of multiplication
• Estimate products
• Estimate products: word problems
• Multiply a two-digit number by a two-digit number: complete the missing steps
• Multiply a two-digit number by a two-digit number
• Multiply a two-digit number by a two-digit number: word problems
• Choose numbers with a particular product
• Multiply numbers ending in zeroes
• Multiply numbers ending in zeroes: word problems
• Multiply three numbers
• Inequalities with multiplication

Division

• Division facts to 10
• Division facts to 10: word problems
• Properties of division
• Divide larger numbers
• Divide larger numbers: word problems
• Complete the division table
• Interpret remainders
• Choose numbers with a particular quotient
• Divide numbers ending in zeroes
• Estimate quotients
• Estimate quotients: word problems
• Divisibility rules
• Division patterns over increasing place values
• Divide numbers ending in zeroes, multi-digit divisors
• Divide numbers ending in zeroes, multi-digit divisors: word problems
• Inequalities with division

Mixed operations

• Add, subtract, multiply and divide
• Addition, subtraction, multiplication and division word problems
• Estimate sums, differences, products and quotients: word problems
• Multi-step word problems
• Word problems with extra or missing information
• Solve word problems using guess-and-check
• Choose numbers with a particular sum, difference, product or quotient
• Mentally add and subtract numbers ending in zeroes
• Inequalities involving addition, subtraction, multiplication and division

Algebra

• Write variable expressions
• Write variable expressions: word problems
• Evaluate variable expressions
• Write variable equations to represent word problems
• Solve variable equations

Functions

• Input/output tables with addition, subtraction, multiplication and division
• Function tables
• Write linear functions
• Graph linear functions

Coordinate graphs

• Coordinate graphs review
• Graph points on a coordinate plane
• Relative coordinates
• Coordinate graphs as maps

Data and graphs

• Read a table
• Interpret line graphs
• Create line graphs
• Interpret bar graphs
• Create bar graphs
• Interpret line plots
• Create line plots
• Frequency charts
• Stem-and-leaf plots
• Circle graphs
• Choose the best type of graph

Logical reasoning

• Guess two numbers based on sum and difference
• Guess two numbers based on sum, difference, product and quotient
• Find the order

Patterns and sequences

• Geometric growth patterns
• Increasing growth patterns
• Numeric patterns: word problems
• Mixed patterns review

Money

• Compare money amounts
• Round money amounts
• Add and subtract money amounts
• Making change
• Price lists

Measurement

• Choose the appropriate metric unit of measure
• Compare and convert metric units of length
• Compare and convert metric units of mass
• Compare and convert metric units of volume

Metric mixed units

• Choose the appropriate imperial unit of measure
• Compare and convert imperial units of length
• Compare and convert imperial units of weight
• Compare and convert imperial units of volume
• Imperial mixed units
• Convert between metric and imperial units

Time

• Convert time units
• Add and subtract mixed time units
• Fractions of time units
• Elapsed time
• Find start and end times: multi-step word problems
• Convert between 12-hour and 24-hour time
• Time zones – 12-hour time
• Time zones – 24-hour time
• Transportation schedules – 12-hour time
• Transportation schedules – 24-hour time
• Time patterns

Geometry

• Identify planar and solid figures
• Types of triangles
• Open and closed shapes and qualities of polygons
• Which 2-dimensional shape is being described?
• Which 3-dimensional figure is being described?
• Number of sides in polygons
• Count and compare sides, edges, faces and vertices
• Similar and congruent
• Nets of 3-dimensional figures
• Acute, right, obtuse and straight angles
• Perimeter
• Area of figures made of unit squares
• Area of squares and rectangles
• Area of complex figures (with all right angles)
• Area between two rectangles

Volume

• Use area and perimeter to determine cost
• Lines of symmetry
• Rotational symmetry
• Lines, line segments and rays
• Parallel, perpendicular, intersecting

Fractions and mixed numbers

• Equivalent fractions
• Patterns of equivalent fractions
• Reduce fractions to lowest terms
• Fractions review
• Compare fractions
• Put fractions in order
• Fractions of a number
• Fractions of a number: word problems
• Mixed numbers
• Convert between improper fractions and mixed numbers

Multiply fractions

• Multiply fractions by whole numbers I
• Multiply fractions by whole numbers II
• Multiply fractions by whole numbers: word problems

Decimals

• What decimal number is illustrated?
• Understanding decimals expressed in words
• Place values in decimal numbers
• Equivalent decimals
• Decimal number lines
• Convert fractions and mixed numbers to decimals
• Convert decimals to fractions and mixed numbers
• Compare decimals and fractions
• Round decimals
• Compare decimal numbers
• Put decimal numbers in order
• Number sequences involving decimals
• Solve decimal problems using diagrams

Add and subtract decimals

• Add decimal numbers
• Subtract decimal numbers
• Add and subtract decimals: word problems
• Choose decimals with a particular sum or difference
• Add three or more decimals
• Add three or more decimals: word problems
• Complete the addition or subtraction sentence
• Inequalities with addition and subtraction
• Estimate sums and differences of decimals

Probability and statistics

• Calculate probability
• Make predictions
• Mean and mode
• U.4 Interpret charts to find mean and mode
• U.5 Combinations

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