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.
01The Power of Place Value and Calculation
Exploration of large numbers up to ten million and the mastery of multi step formal calculation methods.
Students will read, write, and identify the value of digits in numbers up to 10,000,000.
Students will compare and order numbers up to 10,000,000 using appropriate symbols.
Students will round large numbers to different degrees of accuracy and understand its application in estimation.
Students will master formal written methods for addition with numbers up to 10,000,000.
Students will master formal written methods for subtraction with numbers up to 10,000,000.
Students will refine long multiplication for numbers up to four digits by two digits, focusing on accuracy and efficiency.
Students will master long division for numbers up to four digits by two digits, initially without remainders.
Students will master long division for numbers up to four digits by two digits, interpreting remainders in context.
Students will identify prime numbers up to 100 and understand their unique properties.
02Fractions, Decimals, and Percentages
Deepening understanding of equivalence and performing operations across different numerical representations.
Students will simplify fractions to their lowest terms and compare and order fractions, including improper fractions.
Students will add fractions with different denominators and mixed numbers, expressing answers in simplest form.
Students will subtract fractions with different denominators and mixed numbers, expressing answers in simplest form.
Students will multiply proper fractions and mixed numbers by whole numbers.
Students will multiply proper fractions by proper fractions, understanding the concept of 'fraction of a fraction'.
Students will divide proper fractions by whole numbers.
Students will understand place value to three decimal places and compare and order decimals.
Students will multiply decimals by whole numbers using formal methods.
Students will divide decimals by whole numbers, including those with remainders.
03Ratio and Proportion
Using multiplication and division facts to solve problems involving relative sizes and scale factors.
Students will solve problems involving the relative sizes of two quantities using ratio notation.
Students will solve problems involving the division of a quantity into two parts in a given ratio.
Students will apply scale factors to enlarge shapes and quantities.
Students will use ratio to adjust recipes and understand mixtures for different quantities.
Students will identify and solve problems involving direct proportion.
Students will solve direct proportion problems using various strategies, including the unitary method.
04Algebraic Thinking
Introducing abstract notation to express relationships and solve for unknowns in sequences and equations.
Students will introduce the concept of variables and use letters to represent unknown quantities in simple expressions.
Students will use simple formulae to express relationships and solve problems.
Students will generate and describe linear number sequences using algebraic rules.
Students will find the rule for a given linear sequence and express it algebraically.
Students will solve simple one-step equations with one unknown using inverse operations.
Students will solve two-step equations with one unknown.
05Measurement and Geometry
Calculating area, perimeter, and volume while exploring the properties of 2D and 3D shapes.
Students will calculate the area of parallelograms using the formula base x height.
Students will calculate the area of triangles using the formula (base x height) / 2.
Students will calculate the perimeter of compound shapes, including those with missing side lengths.
Students will calculate the volume of cuboids using the formula length x width x height.
Students will convert between standard units of length (mm, cm, m, km) and mass (g, kg).
Students will convert between standard units of volume (ml, l) and time (seconds, minutes, hours, days).
Students will classify 2D shapes based on complex properties, including angles, sides, and symmetry.
Students will find unknown angles in triangles and quadrilaterals using angle properties.
Students will understand the properties of circles, including radius, diameter, and circumference (introduction).
Students will describe positions on the full coordinate grid (all four quadrants).
06Statistics and Data Handling
Interpreting and constructing pie charts and line graphs, and calculating the mean as an average.
Students will read and interpret information presented in pie charts.
Students will construct pie charts from given data, including calculating angles.
Students will read and interpret information presented in line graphs, including continuous data.
Students will construct line graphs from given data, choosing appropriate scales and labels.