Year 6 Maths skills

recognise situations, including financial contexts, that use integers; locate and represent integers on a number line and as coordinates on the Cartesian plane

identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations

apply knowledge of equivalence to compare, order and represent common fractions including halves, thirds and quarters on the same number line and justify their order

apply knowledge of place value to add and subtract decimals, using digital tools where appropriate; use estimation and rounding to check the reasonableness of answers

solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions

multiply and divide decimals by multiples of powers of 10 without a calculator, applying knowledge of place value and proficiency with multiplication facts; using estimation and rounding to check the reasonableness of answers

solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate

approximate numerical solutions to problems involving rational numbers and percentages, including financial contexts, using appropriate estimation strategies

use mathematical modelling to solve practical problems involving natural and rational numbers and percentages, including in financial contexts; formulate the problems, choosing operations and efficient calculation strategies, and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, justifying the choices made

recognise and use rules that generate visually growing patterns and number patterns involving rational numbers

find unknown values in numerical equations involving brackets and combinations of arithmetic operations, using the properties of numbers and operations

create and use algorithms involving a sequence of steps and decisions that use rules to generate sets of numbers; identify, interpret and explain emerging patterns

convert between common metric units of length, mass and capacity; choose and use decimal representations of metric measurements relevant to the context of a problem

establish the formula for the area of a rectangle and use it to solve practical problems

interpret and use timetables and itineraries to plan activities and determine the duration of events and journeys

identify the relationships between angles on a straight line, angles at a point and vertically opposite angles; use these to determine unknown angles, communicating reasoning

compare the parallel cross-sections of objects and recognise their relationships to right prisms

locate points in the 4 quadrants of a Cartesian plane; describe changes to the coordinates when a point is moved to a different position in the plane

recognise and use combinations of transformations to create tessellations and other geometric patterns, using dynamic geometric software where appropriate

interpret and compare data sets for ordinal and nominal categorical, discrete and continuous numerical variables using comparative displays or visualisations and digital tools; compare distributions in terms of mode, range and shape

identify statistically informed arguments presented in traditional and digital media; discuss and critique methods, data representations and conclusions

plan and conduct statistical investigations by posing and refining questions or identifying a problem and collecting relevant data; analyse and interpret the data and communicate findings within the context of the investigation

recognise that probabilities lie on numerical scales of 0 - 1 or 0% - 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals

conduct repeated chance experiments and run simulations with an increasing number of trials using digital tools; compare observations with expected results and discuss the effect on variation of increasing the number of trials