United Kingdom · National Curriculum Attainment Targets
Year 7 Mathematics
This course transitions students from primary arithmetic to secondary abstract thinking. It emphasizes the structural properties of number, the language of algebra, and the geometric logic required for spatial reasoning.

The Power of Number
Exploring the deep structure of the number system including place value, integers, and the properties of factors and multiples.
Understanding the infinite nature of the number line and the relative size of very large and very small numbers.
Breaking numbers down into their fundamental building blocks using prime factorisation.
Establishing a universal hierarchy for mathematical operations to ensure consistency in calculation.

Algebraic Thinking
Transitioning from arithmetic to the use of symbols to represent generalized mathematical relationships.
Introducing variables, terms, and expressions as a way to describe patterns.
Learning to manipulate expressions by collecting like terms and expanding brackets.
Using inverse operations to maintain balance and find the value of an unknown.

Proportional Reasoning
Developing a deep understanding of fractions, decimals, and percentages as different representations of the same proportions.
Comparing and converting between different ways of expressing parts of a whole.
Using percentages to describe parts of 100 and the likelihood of events occurring.
Exploring the relationship between two quantities and how they change in proportion to each other.

Lines and Angles
Investigating the properties of shapes, the logic of angles, and the rules governing geometric constructions.
Discovering the rules for angles on a line, at a point, and within triangles.
Categorizing two dimensional shapes based on their side lengths, angles, and symmetry.
Using a compass and straightedge to create accurate drawings and bisectors.

Measuring the World
Applying mathematical formulas to calculate perimeter, area, and volume in various contexts.
Distinguishing between the boundary of a shape and the space it occupies.
Understanding three dimensional space by calculating the capacity of cuboids and right prisms.
Mastering the metric system and understanding the relationship between different units of measure.

Data and Decisions
Collecting, representing, and interpreting data to make informed conclusions about the world.
Learning how to pose questions, collect data, and avoid bias in sampling.
Using mean, median, mode, and range to summarize complex datasets.
Creating and interpreting bar charts, pie charts, and frequency tables.