Mathematics Department

Curriculum Area: Mathematics

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