United Kingdom · National Curriculum Attainment Targets
Year 3 Mathematics
A comprehensive exploration of mathematical fluency focusing on place value, additive reasoning, and the properties of shapes. Students develop conceptual understanding through concrete representation and abstract problem solving to build a foundation for upper Key Stage 2.

Place Value and the Power of Three Digits
Students explore the composition of numbers up to 1000, focusing on the relative value of digits and the importance of zero as a placeholder.
Decomposing numbers into their constituent parts to understand how the base ten system scales.
Developing a mental map of where numbers sit in relation to multiples of 10 and 100.
Using inequality symbols to describe relationships between large quantities.

Additive Reasoning and Mental Strategies
Moving beyond basic counting to efficient mental and formal written methods for addition and subtraction.
Using known facts to derive new ones and manipulating numbers mentally for speed and accuracy.
Introducing formal written methods and the concept of regrouping or exchanging.
Applying addition and subtraction to multi step scenarios involving real world contexts.

Multiplication, Division, and Scaling
Building fluency in the 3, 4, and 8 times tables while understanding the relationship between multiplying and dividing.
Focusing on the 3, 4, and 8 times tables and seeing the doubling relationship between them.
Understanding division as the inverse of multiplication and using it to solve sharing problems.
Solving problems where one object corresponds to many and using multiplication for scaling.

Fractions: Parts of a Whole
An introduction to unit and non unit fractions, focusing on denominators and the concept of equivalence.
Recognizing and writing fractions where the numerator is one.
Exploring how different fractions can represent the same value using fraction walls and diagrams.
Calculating with fractions that have the same denominator.

Measurement: Time, Mass, and Capacity
Developing practical skills in measuring and comparing lengths, weights, volumes, and durations of time.
Measuring in millimeters, centimeters, and meters, and calculating the total distance around a shape.
Comparing weights in grams and kilograms and volumes in milliliters and liters.
Telling the time on analog and digital clocks and calculating durations.

Geometry and Data Interpretation
Analyzing properties of shapes, angles, and lines while learning to represent data in structured formats.
Identifying faces, edges, and vertices and recognizing shapes in different orientations.
Recognizing right angles, identifying horizontal and vertical lines, and understanding perpendicularity.
Interpreting and creating bar charts, pictograms, and tables to answer questions.