# Maths

## Knowledge

‘FUNdamentals’ is our vision for KS3 mathematics and includes essential skills students will need in everyday life such as telling the time, calculating change and understanding units of measurement. In KS4 this progresses by supporting students for a future of making informed decisions about the use of technology, managing money, and further learning opportunities and career choices.

## Ways of thinking

Mathematics is the science of problem solving. It is a fundamental part of human thought and logic. This is done by taking the information presented to you, using your prior knowledge and resilience to find solutions or even produce further questions. Students begin with concrete examples of real life situations and progress to understanding and manipulating abstract representations of these.

## Character

Mathematics provides the ultimate way of building mental discipline, encouraging logical reasoning and mental rigor. Problem solving, resilience, curiosity and creative thinking are important in all aspects of life and learning mathematics develops these character traits. It also encourages critical thinking. For example, it is important students can understand potentially misleading information in advertising statistics to make informed, sensible decisions.

## Experiences

Students will build resilience during their learning because making mistakes is a crucial part of the process of understanding mathematics and addressing misconceptions. Resilience is important in all aspects of life and students will build this through their experiences in maths lessons. Opportunities for group work will enable discussion and mathematical reasoning. And teaching tailored to each student’s learning style will give them an enjoyable and stimulating experience of mathematics.

 FOUNDATION Autumn 1 Autumn 2 Spring 1 Spring 2 Summer 1 Summer 2 Year 9 Rounding, estimation, 4 operations revision, order of operations, negative numbers (+ beginning of HT2) Expressions, indices, equations, formulae, sequences, coordinates, linear graphs Factors, multiples & primes, Fractions & Percentages (growth & decay) Area, perimeter and volume (inc circles) 2D and 3D shapes, properties of polygons, angles, scale drawings & bearings Statistics (Y8HT6) Probability (Y7HT6) Year 10 Ratio & proportion (links to fractions) Sequences, linear graphs Expressions (algebraic indices) and graphs Measures, real life graphs Pythagoras and Trigonometry Transformations (& Loci) Similarity & Congruence Vectors Probability, Venn Diagrams Year 11 Number and Algebra Revision Shape and Data Revision Bespoke Revision Bespoke Revision Bespoke Revision
 HIGHER Autumn 1 Autumn 2 Spring 1 Spring 2 Summer 1 Summer 2 Year 9 Rounding, estimation, 4 operations revision, order of operations, negative numbers (+ beginning of HT2) Expressions, indices, equations, formulae, sequences, coordinates, linear graphs Factors, multiples & primes, Fractions & Percentages (growth & decay) Area, perimeter and volume (inc circles) 2D and 3D shapes, properties of polygons, angles, scale drawings & bearings Statistics (Y8HT6) Probability (Y7HT6) Year 10 Ratio & proportion, exchange rates (links to fractions) [surds, quadratics and standard form] Sequences (inc quadratic), linear graphs (inc coordinate geometry) Expressions (algebraic indices) and graphs Measures, real life graphs [Simultaneous eqns: linear / quadratic algebraic proportion] Pythagoras and trigonometry [inc. non-right angled], Algebraic Fractions Transformations (& Loci) Similarity & Congruence Vectors Probability, Venn diagrams Year 11 Algebraic Fractions, Quadratics Revision (inc. Inequalities), Algebraic Probability Trees / Algebraic Ratio, Quadratic Formula, Algebraic Proof Circle Theorems, Non-RA Trig, Sectors & Segments, Data Revison, Histograms, Catch & Release Sampling Completing the Square, Equation of a Circle, Coordinate Geometry, Exponentials & Geometrics, Index Equations, Iteration Functions, Graph Transformations, Area under a curve, instantaneous rates of change, bounds Bespoke Revision
 Term 1 Term 2 Term 3 Year 12 (A Level) Introducing the LDS (Data Processing)   Surds, Indices and Logarithms   Quadratics and Simultaneous Equations (Inc. Equations of Circles)   Probability   Data (Scatter graphs and Correlation, Sampling, Errors/Outliers)   Binomial Expansion   Binomial Distribution   Kinematics   Coordinate Geometry (Parallel and Perpendicular) Differentiation   Integration   Hypothesis Testing   Trigonometry   Vectors   Forces Sequences and Series (Y13)   Trigonometry (Radians and Reciprocal Functions) (Y13) Year 13 (A Level) Partial Fractions   Binomial Expansion   Polynomial Division   Functions and Iteration   Probability   Normal Distribution   Differentiation   Further Differentiation   Trigonometric Identities*   Vectors*   Kinematics Integration (Inc. Trapezium Rule)   Forces and Motion (Inc. Friction)   Parametric Equations (Inc. Integration)   Projectiles   Differential Equations   Proof   Hypothesis Testing   Moments* Revision