United Kingdom · National Curriculum Attainment Targets
Year 11 Mathematics
A comprehensive mastery course for Year 11 students focusing on the synthesis of algebraic, geometric, and statistical concepts. It prepares learners for higher level assessment through rigorous proof and real world problem solving applications.
The Power of Algebra
Deepening understanding of non linear equations, functions, and the manipulation of complex algebraic fractions.
Exploring the intersection of multiple functions and solving non linear systems using various methods.
Analysing how changing parameters affects the graph of a function and understanding composite functions.
Simplifying complex expressions and using deductive logic to prove mathematical identities.
Geometry of Space and Shape
Investigating circle theorems, vector geometry, and the properties of three dimensional shapes.
Discovering and proving the geometric rules that govern the properties of circles and tangents.
Using vectors to describe movement and solve complex geometric problems involving ratio and direction.
Applying trigonometric ratios and surface area formulas to solve problems in three dimensions.
Numerical Fluency and Proportion
Mastering surds, indices, and complex proportional reasoning in varying contexts.
Operating with irrational numbers and rationalising denominators to maintain mathematical precision.
Modelling relationships between variables where one value changes in relation to another.
Using multipliers for compound interest, depreciation, and iterative financial models.
Probability and Risk
Evaluating the likelihood of independent and dependent events using set theory and tree diagrams.
Calculating the probability of an event occurring given that another event has already happened.
Using set notation to categorise data and solve logic based probability problems.
Data Interpretation and Statistics
Analyzing distribution, spread, and correlation through advanced graphical representations.
Comparing datasets using measures of central tendency and spread like the interquartile range.
Constructing and interpreting histograms where frequency density is used to represent data.
Calculus and Rates of Change
An introduction to the gradient of curves and the concept of instantaneous rates of change.
Estimating the gradient at a specific point on a non linear graph using tangents.
Using the trapezium rule and geometric estimation to find the area bounded by a function.