United Kingdom · National Curriculum Attainment Targets
Year 6 Mathematics
This course develops fluency in complex arithmetic, algebraic thinking, and proportional reasoning. Students move from concrete calculations to abstract problem solving in preparation for secondary transition.

The Power of Place Value and Calculation
Exploration of large numbers up to ten million and the mastery of multi step formal calculation methods.
Reading, writing, and comparing numbers up to 10,000,000 and understanding the impact of rounding in real world contexts.
Refining long multiplication and division while interpreting remainders according to the problem context.
Investigating common factors, multiples, and prime numbers to simplify complex arithmetic.

Fractions, Decimals, and Percentages
Deepening understanding of equivalence and performing operations across different numerical representations.
Adding, subtracting, multiplying, and dividing fractions with different denominators.
Multiplying and dividing decimals by whole numbers and understanding place value to three decimal places.
Calculating percentages of amounts and linking them to fraction and decimal counterparts.

Ratio and Proportion
Using multiplication and division facts to solve problems involving relative sizes and scale factors.
Solving problems involving the relative sizes of two quantities using ratio notation.
Applying grouping and sharing knowledge to solve complex percentage and scaling problems.

Algebraic Thinking
Introducing abstract notation to express relationships and solve for unknowns in sequences and equations.
Using simple formulae and expressing missing number problems algebraically.
Generating and describing linear number sequences using algebraic rules.
Finding pairs of numbers that satisfy an equation with two unknowns.

Measurement and Geometry
Calculating area, perimeter, and volume while exploring the properties of 2D and 3D shapes.
Calculating the area of parallelograms and triangles and the volume of cuboids.
Classifying geometric shapes based on complex properties and finding unknown angles.
Describing positions on the full coordinate grid and predicting shape translations.

Statistics and Data Handling
Interpreting and constructing pie charts and line graphs, and calculating the mean as an average.
Reading and constructing pie charts and line graphs to solve problems.
Calculating and interpreting the mean as an average in various contexts.