United Kingdom · National Curriculum Attainment Targets
Year 4 Mathematics
A comprehensive exploration of Year 4 mathematics focusing on fluency with large numbers, decimal notation, and the properties of shapes. Students develop reasoning skills through systematic problem solving and the investigation of mathematical patterns.
01Place Value and the Power of Ten
Students extend their understanding of the number system to include thousands and negative integers.
Students will read and write numbers up to 10,000 in numerals and words, focusing on correct place value.
Students will partition numbers up to 10,000 in different ways using concrete materials and pictorial representations.
Students will compare and order numbers beyond 1,000 using appropriate mathematical language and symbols.
Students will round any number to the nearest 10, 100, or 1,000, understanding the purpose of estimation.
Students will explore negative numbers in context, such as temperature and debt, using number lines.
Students will practice counting forwards and backwards in multiples, identifying patterns.
Students will read Roman numerals to 100 (I to C) and understand how they are constructed.
02Additive and Multiplicative Reasoning
Deepening calculation strategies for addition, subtraction, and formal multiplication methods.
Students will develop and apply mental strategies for addition and subtraction with increasingly large numbers.
Students will use the formal column method for addition with up to four digits, including carrying.
Students will use the formal column method for subtraction with up to four digits, including borrowing.
Students will use inverse operations to check calculations and solve missing number problems.
Students will recall multiplication and division facts for all times tables up to 12x12.
Students will understand the effect of multiplying whole numbers by 10, 100, and 1,000.
Students will use the grid method to multiply two-digit and three-digit numbers by a one-digit number.
Students will use the short multiplication method to multiply two-digit and three-digit numbers by a one-digit number.
Students will understand the effect of dividing whole numbers by 10, 100, and 1,000.
Students will use the short division method to divide three-digit numbers by a one-digit number, including remainders.
03Parts of the Whole: Fractions and Decimals
Connecting fractional parts to decimal notation and exploring equivalence.
Students will identify and represent unit and non-unit fractions, including fractions greater than one.
Students will use number lines and diagrams to identify and generate equivalent fractions.
Students will add and subtract fractions with the same denominator, including those greater than one.
Students will find fractions of amounts, linking this to division and multiplication.
Students will understand decimals as an extension of the place value system, representing tenths and hundredths.
Students will convert fractions with denominators of 10 or 100 to decimals and vice versa.
Students will compare and order decimals with up to two decimal places.
Students will round decimals with one decimal place to the nearest whole number.
Students will solve problems involving fractions and decimals, applying their understanding of equivalence and operations.
04Measuring the World
Developing precision in measuring perimeter, area, and converting between units.
Students will measure and convert between different units of length (mm, cm, m, km).
Students will calculate the perimeter of rectilinear shapes by measuring and calculating missing sides.
Students will find the area of rectilinear shapes by counting squares.
Students will measure and convert between grams and kilograms.
Students will measure and convert between millilitres and litres.
Students will read, write, and convert time between analogue and digital 12-hour and 24-hour clocks.
Students will solve problems involving converting between units of time and calculating durations.
05Geometry: Shape and Position
Classifying geometric shapes and describing movements on a coordinate grid.
Students will classify triangles based on their properties (sides and angles).
Students will classify quadrilaterals based on their properties (sides, angles, parallel lines).
Students will identify lines of symmetry in 2D shapes.
Students will identify, compare, and order acute, obtuse, and right angles.
Students will relate turns (quarter, half, three-quarter, full) to angles (right angle, straight line, full turn).
Students will plot and read coordinates in the first quadrant.
Students will describe and perform translations of 2D shapes on a coordinate grid.
Students will identify and draw parallel and perpendicular lines.
06Data Handling and Interpretation
Organising, representing, and interpreting data using various graphical methods.
Students will interpret and present discrete data using bar charts and pictograms.
Students will collect, organise, and present discrete data in bar charts and pictograms.
Students will interpret and present continuous data using line graphs.
Students will solve comparison, sum, and difference problems using information presented in charts and graphs.
Students will read and interpret information presented in timetables.
Students will sort and classify data using Carroll and Venn diagrams.