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Tips, Advice and Resources

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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