Mathematics
Maths Curriculum Overview, 20192020 

Why do we teach Maths at Ark BDA? 
There are three key reasons why we teach Maths here at Ark BDA.
We teach the necessary Maths to help create students that are confident with reallife numeracy, practical maths related knowledge and work related knowledge. We also want to give students the subject knowledge to access higher qualifications in mathematics, science, economics and various other courses.
We teach the personal and social aspects of Maths that enables students to problem pose and problem solve. By teaching Maths we intrinsically develop the key transferable skills, such as analysing, evaluating and making connections, that students need to be successful later in life.
Finally, we teach an appreciation of Maths, not just as a subject, but as an Element of Culture that has played a major part in history, culture and society in general. 
How do we deliver our Christian values in Maths? 
To develop the leadership, commitment, resilience and courage within our students, the Maths department have embedded independent learning activities for key stage 4 which requires students to research a topic, collate their findings and present their ideas to their peers.
The Maths department encourages students to have growth mindsets by celebrating their mistakes in lessons so that they can learn from them. We facilitate paired learning and group learning so that students support each other to learn complex mathematical concepts. This helps to foster love, faith, compassion and kindness within our students.

How do we build core skills and knowledge over time? 
To achieve the above aims, we use Maths Mastery in year 7 and year 8 which develops a deeper understanding and appreciation of the connections in mathematics, giving students the skills to adapt their knowledge to different situations. These transferable skills give our students the capacity to solve problems not only within the mathematics curriculum, but in the widerworld.
At Key stage 4 (year 911) we continue to develop students’ reasoning and problemsolving skills, whilst delivering the key content from the GCSE curriculum. Students are expected to spend large portions of their lesson applying the knowledge they have acquired to appropriate problemsets and examination style questions. All students are given knowledge cards and over the years build up their own knowledge organisers which contain all of the key GCSE Mathematics course content.
Students in key stage 4 that struggle to access the GCSE have additional lessons of Maths each week with a targeted scheme of learning purely concentrated around mastering high leverage GCSE topics.
Mathematics is a pyramid, where students must secure a strong understanding of the basics before moving on. To this end, we ensure that students have real fluency with their topics before moving on with the curriculum through inclass assessment checks, regular homework, minitests on specific topics and regular whole year summative assessments. For each of these assessment checks, our teachers review weak areas and provide support to those who are struggling. We also signpost students to independently work on their areas for development independently using Maths Watch.

How does the study of Maths prepare students for life beyond Ark BDA? 
Maths is a core subject that students need to be proficient in before they leave education. It is a prerequisite for access onto all courses after key stage 4, be it an apprenticeship, a Technical Course or ALevels. 

Autumn 1 
Autumn 2 
Spring 1 
Spring 2 
Summer 1 
Summer 2 

Year 7 
Topic 
Number 
Number and Algebra 
Geometry and Measure 
Geometry and Measure 
Number 
Number 
Key question 







Content 
Numbers & numerals; Axioms & arrays; Factors & multiples; Order of operations 
Positive & negative numbers; Expressions, equations and sequences 
Angles; Classifying 2D shapes; Constructing triangles & quadrilaterals 
Coordinates; Area of 2D shapes; Transforming 2D figures 
Prime factor decomposition; Equivalent fractions; All operations acting on fractions 
Ratio; Percentages; Recap of year 

Assessment 
Minitests on each topic 
Cumulative assessment Aut 2 
Minitests on each topic 
Cumulative assessment Spr 2 
Minitests on each topic 
Cumulative assessment Sum 2 

Year 8 
Topic 
Number 
Algebra 
Geometry and Measure and Number 
Number 
Number and Geometry and Measure 
Statistics 
Key question 







Content 
Prime numbers & factorisation; Positive & negative numbers 
Sequences, expressions & equations; Double brackets & quadratics 
Constructing triangles, quadrilaterals and angles; Length & area; Percentage change 
Percentage change; Ratio and rate 
Rounding & estimation; Circumference & area of a circle; 3D shapes & nets; Surface area & volume 
Statistics 

Assessment 
Minitests on each topic 
Cumulative assessment Aut 2 
Minitests on each topic 
Cumulative assessment Spr 2 
Minitests on each topic 
Cumulative assessment Sum 2 

Year9 
Topic 






Key question 







Content 
1.1 Calculations 1.2 Decimal numbers 1.3 Place value 1.4 Factors and multiples 1.5 Squares, cubes and roots and Index notation 1.7 Prime factors 2.1 Algebraic expressions 2.2 Simplifying expressions 2.5 Expanding brackets
2.6 Factorising 2.3 Substitution 9.1 Coordinates 9.2 Linear graphs 9.3 Gradient 9.4 y = mx + c 2.4 Formulae 2.7 Using expressions and formulae 14.3 Compound measures 14.4 Distance, speed and time 9.6 Distancetime graphs 
3.1 Frequency tables 7.1 Mean and range 7.4 Estimating the mean 3.2 Twoway tables 3.3 Representing data 3.4 Time series 3.5 Stem and leaf diagrams 7.2 Mode, median and range 7.3 Types of average 3.6 Pie charts 3.7 Scatter graphs 4.1 Working with fractions 4.2 Operations with fractions 4.3 Multiplying fractions 4.4 Dividing fractions 4.5 Fractions and decimals 4.6 Fractions and percentages 4.7 Calculating percentages 1 4.8 Calculating percentages 2 6.1 Properties of shapes 6.3 Angles in triangles 6.2 Angles in parallel lines 6.4 Exterior and interior angles 6.5 More exterior and interior angles 5.1 Solving equations 1 5.3 Solving equations with brackets 6.6 Geometrical patterns 





Assessment 
Minitests on each topic 
Cumulative assessment Aut 2 
Minitests on each topic 
Cumulative assessment Spr 2 
Minitests on each topic 
Cumulative assessment Sum 2 

Year 10 
Topic 






Key question 







Content 
1.1 Calculations 1.2 Decimal numbers 1.3 Place value 1.4 Factors and multiples 1.5 Squares, cubes and roots and Index notation 1.7 Prime factors 2.1 Algebraic expressions 2.2 Simplifying expressions 2.5 Expanding brackets 16.1 Expanding double brackets 2.6 Factorising
16.4 Factorising quadratic expressions 2.3 Substitution 9.1 Coordinates 9.2 Linear graphs 9.3 Gradient 9.4 y = mx + c 2.4 Formulae 2.7 Using expressions and formulae 14.3 Compound measures 14.4 Distance, speed and time 9.6 Distancetime graphs 9.5 Reallife graphs 
3.1 Frequency tables 7.1 Mean and range 7.4 Estimating the mean 3.2 Twoway tables 3.3 Representing data 3.7 Scatter graphs 3.4 Time series 3.5 Stem and leaf diagrams 7.2 Mode, median and range 7.3 Types of average 3.6 Pie charts 4.1 Working with fractions 4.2 Operations with fractions 4.3 Multiplying fractions
4.4 Dividing fractions 4.5 Fractions and decimals 4.6 Fractions and percentages 4.7 Calculating percentages 1 4.8 Calculating percentages 2 6.1 Properties of shapes 6.3 Angles in triangles 6.2 Angles in parallel lines 15.8 Bearings 6.4 Exterior and interior angles 5.1 Solving equations 1 5.3 Solving equations with brackets 6.6 Geometrical patterns 11.1 Writing ratios 11.2 Using ratios 1 11.3 Ratios and measures 11.4 Using ratios 2 11.5 Comparing using ratios 11.6 Using proportion 11.7 Proportion and graphs 11.8 Proportion problems






Assessment 
Minitests on each topic 
Cumulative assessment Aut 2 
Minitests on each topic 
Cumulative assessment Spr 2 
Minitests on each topic 
Cumulative assessment Sum 2 

Year 11 
Topic 






Key question 







Content 
1.1 Calculations 1.2 Decimal numbers 1.3 Place value 1.4 Factors and multiples 1.5 Squares, cubes and roots and Index notation 1.7 Prime factors 2.1 Algebraic expressions 2.2 Simplifying expressions 2.5 Expanding brackets 16.1 Expanding double brackets 2.6 Factorising 16.4 Factorising quadratic expressions 2.3 Substitution 9.1 Coordinates 9.2 Linear graphs 9.3 Gradient 9.4 y = mx + c 2.4 Formulae 2.7 Using expressions and formulae 14.3 Compound measures 14.4 Distance, speed and time 9.6 Distancetime graphs 9.5 Reallife graphs 
3.1 Frequency tables 7.1 Mean and range 7.4 Estimating the mean 3.2 Twoway tables 3.3 Representing data 3.7 Scatter graphs 3.4 Time series 3.5 Stem and leaf diagrams 7.2 Mode, median and range 7.3 Types of average 3.6 Pie charts 4.1 Working with fractions 4.2 Operations with fractions 4.3 Multiplying fractions 4.4 Dividing fractions 4.5 Fractions and decimals 4.6 Fractions and percentages 4.7 Calculating percentages 1 4.8 Calculating percentages 2 6.1 Properties of shapes 6.3 Angles in triangles 6.2 Angles in parallel lines 15.8 Bearings 6.4 Exterior and interior angles 5.1 Solving equations 1 5.3 Solving equations with brackets 6.6 Geometrical patterns 11.1 Writing ratios 11.2 Using ratios 1 11.3 Ratios and measures 11.4 Using ratios 2 11.5 Comparing using ratios 11.6 Using proportion 11.7 Proportion and graphs 11.8 Proportion problems 





Assessment 
2 GCSE papers 

3 GCSE Papers 




Year 12 
Topic 
Algebra and functions & Probability

Coordinate geometry in the (x, y) plane, Differentiation, Kinematics

Further Algebra, Trigonometry, Statistics

Forces & Newton's laws & Integration 
Vectors, Exponentials and Logarithms, Kinematics 
Exam focussed Revision 
Key question 







Content 
Algebraic expressions
Quadratics
Equations and inequalities
Graphs and transformations
Representations of data and
Correlation
Probability
Statistical distributions
Hypothesis testing

Straight line graphs
Circles
Differentiating polynomials, gradients, tangents and normal
Differentiation
Increasing/decreasing functions, Second order derivatives, Stationary points, Sketching gradient functions, Modelling
Quantities and Units in Mechanics Y1 Modelling in Mechanics & Kinematics 1
Constant Acceleration

Algebraic methods
The binomial expansion
Trigonometric ratios
Trigonometric identities and equations
Statistical sampling
Data Collection
Introduction to the Large Data Set
Data presentation and interpretation
Measures of location and spread

Integrating polynomials, Functions given a gradient function, Definite integration
Areas under curves, Areas under xaxis, Areas between curves & lines
Forces and Motion

Definitions, magnitude/direction, addition and scalar multiplication
Position vectors, distance between two points, geometric problems
Exponentials and logarithms
Exponential functions, Euler’s constant, Modelling, Logarithms
Laws of Logarithms, Solving equations using logs, Natural logs, Logs and nonlinear data
Variable acceleration



Assessment 

Full A Level Papers 

Full A Level Papers 



Year 13 
Topic 
Pure, Mechanics and Statistics 
Pure, Mechanics and Statistics 
Pure, Mechanics and Statistics 
Pure, Mechanics and Statistics 
Exam Focussed Revision 
Exam Focussed Revision 
Key question 







Content 
Trigonometric Functions
Introduction to sec, cosec, cot, trig identities, inverse trig functions
Parametric Equations
Parametric equations, using trig identities, curve sketching, points of intersection, modelling
Regression, Correlation and
Hypothesis testing
Exponential models, hypothesis testing for zero correlation
Trigonometry and modelling
Compound and double angle formulae
Functions and Graphs
The modulus function, composite functions, inverse functions, transformations, modelling with functions
Trigonometry and modelling
Proving and modelling trig identities
Functions and Graphs
The modulus function, composite functions, inverse functions, transformations, modelling with functions
Parametric Equations
Modelling
Forces and Friction
Resolving forces, inclined planes, friction
Sequences and Series
Arithmetic and geometric progressions
Applications of forces
Static particles, friction, static rigid bodies, dynamics and inclined planes, connected particles
Sequences and Series
Sigma notation, recurrence and iterations
Moments
Forces’ turning effect
Probability
Using set notation, conditional probability, questioning assumptions

Moments
Forces’ turning effect
Probability
Using set notation, conditional probability, questioning assumptions
Differentiation
Differentiating sinx and cosx, and exponentials, differentiating products, quotients
Revision and exams week
Differentiation
Differentiating trig functions, implicit and parametric functions, second derivatives, rates of change
Algebraic methods
Partial fractions
The Binomial Theorem
Expanding, knowledge of range of validity, partial fractions
Integration
Exponential and trig functions
Integration
Reverse differentiation, Integration by substitution
Integration
Integration by parts, partial fractions, finding areas

Integration
Trapezium rule, solving differential equations, modelling
The Normal Distribution
Understand and use the normal distribution
The Normal Distribution
Approximations to the binomial distribution, Statistical hypothesis testing for the mean of the Normal distribution
Vectors (3D)
Column vectors, unit vectors
Radians
Radians and arc measure, areas and solving trig equations
Projectiles
Horizontal projection, horizontal and vertical components, projection at any angle, projectile motion formulae
Algebraic methods
Proof by deduction and contradiction

Further Kinematics
Vectors in kinematics, vector methods with projectiles, variable acceleration in one dimension, differentiating vectors and integrating vectors




Assessment 
Full A Level Papers 
Full A Level Papers 
Full A Level Papers 
Full A Level Papers 

