## Mathematics Department

### KS3 Intent:

Our Key Stage 3 curriculum provides pupils with an opportunity to continue to develop the Mathematic skills that are essential for everyday life and the next stage of their education. The curriculum builds on knowledge and skills developed at Key Stage 2 with a focus on developing pupils reasoning and problems solving skills whilst providing regular opportunities for pupils to recall and consolidate prior learning. We aim to give pupils regular opportunities to develop fluency through independent practice as well as the opportunity to develop reasoning and problem solving skills justifying and proving their solutions along the way. Pupils will be able to develop their Mathematical ideas making links with other subject areas. Key Stage 3 Mathematics significantly contributes to pupils Cultural Capital development through the interconnection of Mathematical ideas and concepts with a focus on how Mathematics can be applied to the real world. Our curriculum is fully inclusive with high ambition for all pupils, by the end of Key Stage 3 Mathematics all pupils need to be able to move fluently between representations of Mathematical ideas and concepts. The Curriculum plan is clearly set out with a focus on the sequence and structure of how subject content is taught.

### Implementation:

 Year Term Topic Knowledge, skills and understanding Window for Assessment 7 1 Using a calculator Algebraic notation Equations and brackets Proportional reasoning Interpreting data Four operations Reasoning, problem solving, critical thinking, data analysis, analysing relationships, applying knowledge, making predictions, evaluating accuracy Arithmetic Assessment – September   Assessment - October & December 2 Directed number Angles Sequences Symmetry, reflection and transformations Fractions Assessment - February 3 Area and perimeter Percentages Constructions Estimation and rounding Number properties Probability EOY Assessment 8 1 Algebraic simplifying Equations and inequalities Graphs and Functions Ratio and proportion Fractions Representing data Assessment - October & December 2 Properties of shape Decimals Percentages Angles parallel lines and polygons Area and Volume Assessment - February 3 Symmetry, reflection and transformations Indices Sequences Standard form Units and scales EOY Assessment 9 1 Equations and inequalities Graphs and functions Sequences Ratio and proportion Displaying data Reasoning, problem solving, critical thinking, data analysis, analysing relationships, applying knowledge, making predictions, evaluating accuracy Assessment - October & December 2 Percentages and decimals Angles and bearings - REVIEW Volume and surface area Units and scales Estimating and rounding Assessment - March 3 Standard form Probability Enlargement and similarity Geometric construction Geometry of triangles Indices Assessment - June

### KS4 Intent:

At Key Stage 4 our curriculum continues to provide pupils with an opportunity to develop the Mathematic skills that are essential for everyday life and the next stage of their education whilst building on knowledge and skills developed at Key Stage 3. Pupils will continue to develop fluency, mathematical reasoning and demonstrate problem solving skills. They should also apply their Mathematical knowledge wherever relevant in other subjects and real life. Key Stage 4 Mathematics significantly contributes to pupils Cultural Capital development through the interconnection of Mathematical ideas and concepts with a focus on how Mathematics can be applied to the real world. Our curriculum is fully inclusive with high ambition for all pupils, by the end of Key Stage 4 Mathematics all pupils need to be able to move fluently between representations of Mathematical ideas and concepts. The Curriculum plan is clearly set out with a focus on the sequence and structure of how subject content is taught.

### Implementation:

 Year Term Topic Knowledge, skills and understanding Window for Assessment 10 1 Algebraic manipulation Quadratics Graphs Sequences Ratio and proportion Assessment - October & December 2 Transformations Percentages Probability 3D shapes and similarity Mock exam - March 3 Geometry of triangles Indices and Surds Circles Geometry of triangles and circles Fractions Fractions Assessment - June 11 1 Algebra – quadratics, functions, proof Number – fractions, percentages, proportion Geometry – vectors, compound units Statistics - grouped data Mock exam - September 2 Algebra – further proof, further functions Revision Mock exam - January Weekly mock exam 3 Revision Examination - June

### KS5 Intent:

Subject content at A level Mathematics is split into three main areas, Pure Mathematics, Mechanics and Statistics. These modules are all initially studied during Year 12 and are delivered through a series of units focusing on building new concepts and ideas step by step as well as allowing regular opportunities for consolidation prior learning.  These skills are then extended to further study during Year 13. A level Maths significantly contributes to pupils Cultural Capital development through the interconnection of Mathematical ideas and concepts with a focus on how Mathematics can be applied to model situations in the real world. Problem solving is used in a variety of context with pupils reasoning and justifying their Mathematical ideas. We aim to prepare all pupils for further study and employment in a wide range of disciplines involving the use of Mathematics.

### Implementation:

 Year Term Topic Knowledge, skills and understanding Window for Assessment 12 1 Surds                                       Quadratic Equations Equations                                            Polynomials                                         Coordinate Geometry                         Binomial expansion                                            Exponentials                                        Problem solving                                              Probability                                           Trigonometry                                      Graphs Differentiation Integration Interpret and communicate solutions in the context of the original problem. Understand that many mathematical problems cannot be solved analytically, but numerical methods permit solution to a required level of accuracy. Evaluate, including by making reasoned estimates, the accuracy or limitations of solutions, including those obtained using numerical methods. Understand the concept of a mathematical problem solving cycle, including specifying the problem, collecting information, processing and representing information and interpreting results, which may identify the need to repeat the cycle. Understand, interpret and extract information from diagrams and construct mathematical diagrams to solve problems, including in mechanics. Translate a situation in context into a mathematical model, making simplifying assumptions. Use a mathematical model with suitable inputs to engage with and explore situations Interpret the outputs of a mathematical model in the context of the original situation Understand that a mathematical model can be refined by considering its outputs and simplifying assumptions; evaluate whether the model is appropriate. Understand and use modelling assumptions. Understand and use the structure of mathematical proof, proceeding from given assumptions through a series of logical steps to a conclusion; use methods of proof, including proof by deduction, proof by exhaustion. Disproof by counter example. Proof by contradiction Assessment – October & December 2 Vectors                                    Kinematics                              Forces and Newton's laws of motion            Variable acceleration                         Data Collection                                               Data Processing, presentation and interpretation                                     Binomial distribution Hypothesis testing Assessment – February & March 3 Proof                           Trigonometry                                      Vectors            Functions Differentiation Assessment - June 13 1 Sequences and series                         Trigonometric functions                                 Forces and motion                              Trigonometric identities         Further algebra           Further differentiation                                    Probability                                           Integration Assessment – October & December 2 Moments of forces                             A model for friction                            Numerical methods                            Parametric equations                         Kinematics                  Projectiles Differential equations Statistical distributions                                    Hypothesis testing Assessment – February & March 3 Revision Examination - June