Maths Curriculum Overview, 2019-2020

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 real-life 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 wider-world.

 

At Key stage 4 (year 9-11) we continue to develop students’ reasoning and problem-solving 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 problem-sets 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 in-class assessment checks, regular homework, mini-tests 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 pre-requisite for access onto all courses after key stage 4, be it an apprenticeship, a Technical Course or A-Levels.

 

 

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 2-D shapes; Constructing triangles & quadrilaterals

Coordinates; Area of 2-D shapes; Transforming 2-D figures

Prime factor decomposition; Equivalent fractions; All operations acting on fractions

Ratio; Percentages; Recap of year

Assessment

Mini-tests on each topic

Cumulative assessment Aut 2

Mini-tests on each topic

Cumulative assessment Spr 2

Mini-tests 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; 3-D shapes & nets; Surface area & volume

Statistics

Assessment

Mini-tests on each topic

Cumulative assessment Aut 2

Mini-tests on each topic

Cumulative assessment Spr 2

Mini-tests 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 Distance-time graphs

3.1 Frequency tables

7.1 Mean and range

7.4 Estimating the mean

3.2 Two-way 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

Mini-tests on each topic

Cumulative assessment Aut 2

Mini-tests on each topic

Cumulative assessment Spr 2

Mini-tests 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 Distance-time graphs

9.5 Real-life graphs

3.1 Frequency tables

7.1 Mean and range

7.4 Estimating the mean

3.2 Two-way 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

Mini-tests on each topic

Cumulative assessment Aut 2

Mini-tests on each topic

Cumulative assessment Spr 2

Mini-tests 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 Distance-time graphs

9.5 Real-life graphs

3.1 Frequency tables

7.1 Mean and range

7.4 Estimating the mean

3.2 Two-way 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 x-axis, 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 non-linear 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