Maths: Year 6 topics

Here are the list of topics you can expect your child cover in maths during year 6:

Place values and number sense

• Place values
• Convert between place values
• Compare numbers up to millions
• Word names for numbers
• Roman numerals
• Rounding
• Even and odd arithmetic patterns
• Understanding integers
• Compare integers
• Put integers in order

Geometry

• Lines, line segments and rays
• Identify planar and solid figures
• Types of triangles
• Open and closed shapes and qualities of polygons
• Regular and irregular polygons
• Number of sides in polygons
• Which figure is being described?
• Reflection, rotation and translation
• Count and compare sides, edges, faces and vertices
• Similar and congruent
• Nets of 3-dimensional figures
• Types of angles
• Measure angles with a protractor
• Perimeter
• Area of squares and rectangles
• Area of triangles
• Area of compound figures
• Area between two rectangles
• Area and perimeter of irregular figures
• Area and perimeter: word problems
• Use area and perimeter to determine cost
• Volume of figures made of unit cubes
• Volume of cubes and rectangular prisms
• Three-dimensional figures viewed from different perspectives
• Lines of symmetry
• Rotational symmetry
• Parallel, perpendicular, intersecting

Decimals

• What decimal number is illustrated?
• Understanding decimals expressed in words
• Place values in decimal numbers
• Equivalent decimals
• Round decimals
• Decimal number lines
• Compare decimal numbers
• Put decimal numbers in order
• Convert fractions to decimals
• Convert decimals to fractions
• Compare decimals and fractions
• Put assorted decimals, fractions and mixed numbers in order

• Add and subtract whole numbers up to millions
• Add and subtract whole numbers: word problems
• Add and subtract money amounts
• Add and subtract money: word problems
• Complete addition and subtraction sentences
• Fill in the missing digits
• Choose numbers with a particular sum or difference
• Inequalities with addition and subtraction
• Estimate sums and differences of whole numbers
• Estimate sums and differences: word problems
• Add and subtract decimal numbers
• Add and subtract decimals: word problems
• Choose decimals with a particular sum or difference
• Complete the addition or subtraction sentence
• Inequalities with decimal addition and subtraction
• Estimate sums and differences of decimals

Multiplication

• Multiply by one-digit numbers
• Multiply by one-digit numbers: word problems
• Multiplication patterns over increasing place values
• Multiply numbers ending in zeroes
• Multiply numbers ending in zeroes: word problems
• Properties of multiplication
• Choose numbers with a particular product
• Estimate products
• Estimate products: word problems
• Multiply by two-digit numbers: complete the missing steps
• Multiply two-digit numbers
• Multiply a two-digit number by a three-digit number
• Multiply by two-digit numbers: word problems
• Multiply three or four numbers
• Multiply three or four numbers: word problems
• Multiply money amounts: word problems
• Inequalities with multiplication

Multiply decimals

• Estimate products of decimals
• Multiply a decimal by a power of ten
• Multiply decimals and whole numbers
• Multiply decimals and whole numbers: word problems
• Multiply money amounts with decimals: word problems
• Inequalities with decimal multiplication

Division

• Division facts to 12
• Division facts to 12: word problems
• Divide by one-digit numbers
• Divide by one-digit numbers: word problems
• Divide by one-digit numbers: interpret remainders
• Estimate quotients: word problems
• Division patterns over increasing place values
• Divide numbers ending in zeroes
• Divide numbers ending in zeroes: word problems
• Divide by two-digit numbers
• Divide by two-digit numbers: word problems
• Divide money amounts: word problems
• Estimate quotients
• Choose numbers with a particular quotient

Division with decimals

• Divide by powers of ten
• Decimal division patterns over increasing place values
• Division with decimal quotients
• Division with decimal quotients and rounding
• Division with decimal quotients: word problems

Consumer maths

• Price lists
• Unit prices

Problem solving

• Multi-step word problems
• Word problems with extra or missing information
• Guess-and-check problems
• Find the order
• Use Venn diagrams to solve problems

Number theory

• Prime and composite numbers
• Prime factorisation
• Divisibility rules
• Divisibility rules: word problems
• Greatest common factor
• Least common multiple

Fractions and mixed numbers

• Fractions review
• Equivalent fractions
• Patterns of equivalent fractions
• Reduce fractions to lowest terms
• Mixed numbers
• Convert between improper fractions and mixed numbers
• Compare fractions and mixed numbers
• Put fractions in order
• Fractions of a number
• Fractions of a number: word problems
• Arithmetic sequences with fractions
• Geometric sequences with fractions
• Round mixed numbers
• Add, subtract and multiply fractions
• Add and subtract fractions with like denominators
• Add and subtract fractions with like denominators: word problems
• Add and subtract mixed numbers with like denominators
• Add and subtract mixed numbers with like denominators: word problems
• Add three or more fractions
• Add three or more fractions: word problems
• Complete addition and subtraction sentences with fractions
• Inequalities with addition and subtraction of fractions
• Estimate sums and differences of mixed numbers
• Multiply fractions by whole numbers
• Multiply fractions by whole numbers: input/output tables

Mixed operations

• Add, subtract, multiply and divide whole numbers
• Add, subtract, multiply and divide whole numbers: word problems
• Add, subtract, multiply and divide decimals
• Add, subtract, multiply and divide decimals: word problems

Algebra

• Simplify expressions using order of operations and parentheses
• Write variable expressions
• Evaluate variable expressions
• Write equations to represent word problems
• Solve equations
• Function tables
• Convert graphs to input/output tables
• Write linear functions
• Graph linear functions
• Evaluate functions

Coordinate graphs

• Coordinate graphs review – whole numbers only
• Coordinate graphs with decimals and negative numbers
• Graph points on a coordinate plane
• Coordinate graphs as maps

Data and graphs

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

Patterns and sequences

• Geometric growth patterns
• Increasing growth patterns
• Patterns involving addition and multiplication
• Numeric patterns: word problems
• Mixed patterns review

Ratios, proportions and percents

• Determine the ratio
• Ratio tables
• Ratios: word problems
• Equivalent ratios
• Proportions
• Unit rates and equivalent rates
• Scale drawings
• What percentage is illustrated?
• Convert between percents, fractions and decimals
• Percent of a number
• Percent of a number: word problems
• Compare percentages

Measurement

• Choose the more reasonable temperature
• 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
• Precision

Time

• Convert time units
• Add and subtract mixed time units
• Elapsed time
• Find start and end times: word problems
• Convert between 12-hour and 24-hour time
• Time zones – 12-hour time
• Time zones – 24-hour time
• Schedules and time lines – 12-hour time
• Schedules and time lines – 24-hour time
• Time patterns

Probability and statistics

• Calculate mean, median, mode and range
• Mean, median, mode and range: find the missing number
• Interpret charts to find mean, median, mode and range
• Identify representative, random and biased samples
• Calculate probability
• Make predictions
• Combinations