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Tips, Advice and Resources

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?
  • Classify quadrilaterals
  • 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

Addition and subtraction

  • 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
  • Properties of addition
  • Inequalities with addition and subtraction
  • Estimate sums and differences of whole numbers
  • Estimate sums and differences: word problems
  • Add and subtract decimals
  • 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
  • Quadrants

Data and graphs

  • Read a table
  • 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

 

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