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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