Mathematics

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Mathematics Curriculum Philosophy

We aim to provide all students with a rewarding, enjoyable and challenging experience of mathematics. We intend to prepare students to become confident, numerate individuals who are able to deal with all aspects of mathematics in their chosen career and adult life.

For Pupils:

For Teachers:

Whole School:

We intend to deliver high quality teaching of a curriculum designed to provide both stretch and challenge, deepening student understanding of mathematical knowledge and skills.

We will support students in developing their own skills in reasoning and analysis in order to engender a level of resilience when facing mathematical problems.

Teachers in the department will deliver a well-planned, appropriately sequenced and suitably challenging curriculum that is designed to develop skills for future education and employment.

Teachers will create a positive and engaging climate for learning, setting high expectations both in terms of behaviour and work ethic. Lessons will be well-structured to provide both support and challenge for students, with good subject knowledge being used to assess understanding and address misconceptions.

Feedback will be provided systematically, giving clear guidance on how errors and misconceptions can be addressed. Lessons will be adapted to respond to this feedback to support and develop student progress. 

Students in the department will develop a detailed knowledge of and master the skills in mathematics. This will support students in all areas of the school curriculum, assisting their progress and allowing them to achieve well in all subjects.

Students will be ready for the next stage of their lives within education, employment or training.

 

 

 

 

 

 

 

KEY SKILLS

Year 7 and 8

Year 9 to 11

Number: extend the understanding of number to include decimals, fractions, powers and roots

Use and apply mathematical techniques:

1) Accurately recall facts, terminology and definitions
2) Use and interpret mathematical and algebraic notation correctly
3) Accurately carry out procedures or set tasks requiring multi step solutions

Algebra: use algebra to generalise the structure of arithmetic

Ratio, proportion and rates of change: work with measures and geometry to formulate proportional relations

Reason, interpret and communicate mathematically

1) Make deductions, inferences and draw conclusions from mathematical information

2) Construct chains of reasoning to achieve a given result
3) Interpret and communicate information accurately
4) Present arguments and proofs
5) Assess the validity of an argument and critically evaluate a given way of presenting information

Geometry and measures: begin to reason deductively to solve problems

Solve problems within mathematics and in other contexts

1) Translate problems in mathematical or non-mathematical contexts into a process
2) Make and use connections between different parts of mathematics
3) Interpret results in the context of the given problem
4) Evaluate methods used and results obtained
5) Evaluate solutions to identify how they have been affected by assumptions made

Probability: explore probability and express arguments formally

Statistics: develop statistical skills to express arguments formally

Year 7

Year 7

Topics Studied

Half Term 1

Sequences; term to term and term

Function machines and algebra

Algebraic formulae and expressions

Linear equations

Collecting like terms

Half Term 2

Place value; ordering decimals and fractions

Negative numbers

Averages

Standard form

Equivalent fractions. decimals and percentages

Fractions and percentages of amounts

Pie charts

Half Term 3

Solving problems with addition, subtraction, multiplication and division

Inverse operations

Draw and interpret bar charts and pictograms

Factors and multiples; HCF and LCM

Perimeter and area of shapes

Substitution into formulae; solving equations

Averages; mean, mode, median and range

Half Term 4

Operations and equations with directed numbers

Addition and subtraction of fractions

Squares and roots

Substitution into formulae

Expressions, equations and inequalities

Equivalent fractions

Fractions Of amounts and change

Comparing fractions to decimals

Half Term 5

Constructing, measuring and using geometric notation

20 and 3D shapes

Construct and measure lines and angles

Pie charts

Constructing triangles

Angles at a point, straight lines and vertically opposite

parallel lines; alternate and corresponding angles

Half Term 6

Developing fractions, decimals, powers and roots

Sets and probability

Venn diagrams

Sample spaces and theoretical probability

Multiples and factors; HCF, LCM and prime factorisation

Powers and roots

Number and counterexamples

Algebraic proof

Year 8

Year 8: Higher Pathway:

Year 8

Topics Studied

Half Term 1

Factors and prime factorisation; HCF, LCM

Standard form

Fractions, decimals and percentages

Negative numbers

Powers, roots and reciprocals

Half Term 2

Measure and draw lines; scale drawing

Similar shapes and enlargement

Plan and elevation

probability and relative frequency

Theoretical probability

Algebraic expressions and factorising

Substitution and rearranging formulae

Half Term 3

Converting fractions to decimals and percentages

Mixed fractions and top-heavy fractions

Proportion

Ratio and fractions

Half Term 4

Sequences and nth term

Generating sequences from the nth term

Alternate and corresponding angles

Angles in polygons

Fraction and percentage change

Simple and compound interest

Half Term 5

Solving equations

Linear equations and graphs

Lengths, area and volume; ratio links

Area and perimeter of shapes and composite shapes

Area and circumference of circles

Volume of 3D shapes

Gradient and intercept of straight lines

Quadratic graphs

Half Term 6

Probability; theoretical and experimental

probability trees

Venn diagrams

Probability spaces and outcomes

Frequency tables

Scatter graphs and correlation

Averages; mean, mode, median and range

 

 

Year 8: Foundation Pathway:

Year 8

Topics Studied

Half Term 1

Factors and primes; HCF and LCM

Powers and roots

Order of operations, including brackets

Calculations with decimals and fractions

Inverse operations

Half Term 2

Rounding and estimation

Inverse operations

Ordering fractions and decimals

Inequalities

Parallel and perpendicular lines, angles and polygons

Symmetry and reflections

properties Of 20 and 3D shapes; faces, edges and vertices

Half Term 3

Expressions and equations

Algebraic notation

Collecting terms and expanding brackets

Input and output expressions

Substitution

Comparing fractions, decimals and percentages

Fractions and percentages of amounts

Ratio

Half Term 4

Number patterns and sequences; nth term of sequences

Generating sequences from nth term

Length, area, volume, capacity and other measures

Converting between units

Measuring lines and angles

Angles rules; at a point, straight line, vertically opposite

Four operations with fractions, decimals and percentages

Fraction and percentage change

Half Term 5

Solving equations and inequalities

Area and perimeter of 20 shapes

Surface area Of 3D shapes

Volume of 3D shapes

Coordinates in all 4 quadrants

Identify lines; x y x

Transformations; reflect, rotate, translate

Half Term 6

Interpret and constrict data charts and graphs

Pie charts

Scatter graphs

Pictograms

Frequency tables

Averages; mean, mode and median

Analyse and compare sets of data

Year 9

Upper School Mathematics: Foundation Pathway: 

Year 9

Topics Studied

Half Term 1

Pythagoras

Trigonometry

Perimeter, area and volume

Circles, cylinders, cones and spheres

Half Term 2

Equations and inequalities

Factorising linear expressions

Straight line graphs

Simultaneous equations

Half Term 3

Fractions, decimals and percentages

Ratio and proportion

Angles

Half Term 4

Angles

Sampling and averages

Data handling: two-way tables and frequency tables

Averages from frequency tables

Half Term 5

Stem and leaf diagrams

Pie charts

Scatter graphs

Similarity and congruence

Half Term 6

Transformations

Review of straight line graphs

Quadratic equations, graphs and factorising

Upper School Mathematics: Higher Pathway:

Year 9

Topics Studied

Half Term 1

Surds

Pythagoras

Trigonometry

Linear graphs and parallel/perpendicular lines

Half Term 2

Review of equations and inequalities

Factorising expressions

Quadratic equations

Quadratic graphs

Half Term 3

Fractions and decimals

Linear simultaneous equations

Quadratic simultaneous equations

Cubic, circular graphs and tangents

Half Term 4

Factors, multiples and primes

Standard form

Indices

Algebraic fractions and solving equations

Rearranging equations and formulae

Half Term 5

Ratio and proportion

Similarity and congruence

Multiplicative reasoning

Half Term 6

Direct and inverse proportion

probability and Venn diagrams

Averages and range

 

Year 10

Upper School Mathematics: Foundation Pathway:  

Year 10

Topics Studied

Half Term 1

Pythagoras and trigonometry

Straight lines and quadratic graphs

Cubic and reciprocal functions

Half Term 2

Factors, multiples and primes

Probability and Venn diagrams

Indices and standard form

Half Term 3

Multiplicative reasoning

Real life graphs

Equations and inequalities

Rearranging equations

Half Term 4

Simultaneous equations

Inequalities

Vectors

Half Term 5

Angles

Similarity and congruence

Constructions, loci and bearings

Half Term 6

Area, perimeter and volume

Circles, cylinders, cones and spheres

plans and elevations

Upper School Mathematics: Higher Pathway:

Year 10

Topics Studied

Half Term 1

Pythagoras and trigonometry

Straight line graphs and quadratics

Surds

Collecting data: box plots, cumulative frequency and histograms

Perimeter, area, circles, sectors and volume

Half Term 2

Linear sequences and quadratics

Simultaneous equations

Iteration

Construction, loci and bearings

Half Term 3

Polygons and angles

Circle theorems and geometry

Vectors and geometric proof

 

Half Term 4

Transformations

Real life graphs

Trigonometric graphs

Half Term 5

Further trigonometry

Reciprocal and exponential graphs

Gradient and area under graphs

Half Term 6

Bounds and accuracy

Linear and quadratic inequalities and regions

Algebraic proof

 

Year 11

Upper School Mathematics: Foundation Pathway:  

Year 11

Topics Studied

Half Term 1

Pythagoras and trigonometry

Straight lines, quadratics and other graphs

Equations, inequalities and simultaneous equations

Factorising

Standard form

Ratio and proportion

Half Term 2

Area, perimeter and volume of all shapes

Angles, plan and elevation

Transformations

Data handling techniques and graphs

Half Term 3

Exam preparation: completion Of exam papers to identify individual

and class targets

Half Term 4

Exam preparation: completion Of exam papers to identify individual

and class targets

Half Term 5

Exam preparation: completion of exam papers to identify individual

and class targets

 

Upper School Mathematics: Higher Pathway:

Year 11

Topics Studied

Half Term 1

Pythagoras, trigonometry and further trigonometry

All graphs

Ratio and proportion

Equations, inequalities and simultaneous equations

Factorising and completing the square

Half Term 2

Area and volume of all shapes

Angles and circle theorems

Transformations

Data handling techniques and graphs

Half Term 3

Exam preparation: completion Of exam papers to identify individual

and class targets

Half Term 4

Exam preparation: completion Of exam papers to identify individual

and class targets

Half Term 5

Exam preparation: completion Of exam papers to identify individual

and class targets