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Mathematics

“Small minds discuss persons, average minds discuss events. Great minds discuss ideas. Really great minds discuss Mathematics”

Anon.

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject” (National Curriculum Sept 2013)

At Bordesley Green Girls' School and Sixth Form, we learn Maths by following a Mastery model of learning in KS3 and KS4. We believe that everyone through hard work and effort can improve their Maths knowledge and understanding. Students are encouraged to develop a deep understanding of the concepts they meet rather than learn from rules. Mathematical thinking is developed through all the topics taught and students are encouraged to use mathematical language throughout their learning. Problem solving is integrated throughout every lesson and by using a concrete – pictorial and abstract model of learning, students understanding is deepened and stretched.  The Mastery approach prepares B.G.G.S students to be confident and resilient problem solvers and this is an excellent foundation for success in GCSE Mathematics.

Assessment

Year 7

Year 8

Year 9

Year 10/ 11 - Foundation Tier

Year 10/ 11 - Higher Tier

A Level

GCSE Resit

Year 7

Term

Topic/ Key Enquiry Question

Type of Assessment

Autumn

Autumn 1st Half

Unit 1: Reasoning with integers

Unit 2: Mental addition and subtraction of integers

Unit 3: Written addition and subtraction of integers

Unit 4: Addition and subtraction of decimals

Autumn 2nd Half

Unit 5: Multiplication and division of integers

Unit 6: Area

Unit 7: Multiplication and division of decimals

Unit 8: Further applications of multiplication and division

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Written test and DIRT task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 7

Spring

Spring 1st half

Unit 9: Working with units

Unit 10: Angles and angle properties of straight lines

Unit 11: Properties of triangles

Unit 12: Properties of quadrilaterals

Unit 13: Symmetry and tessellation

Spring 2nd half

Unit 14: Understand and use fractions

Unit 15: Fractions of amounts

Unit 16: Multiplying and dividing fractions

 

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Written test and

DIRT task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 7

Summer

Summer 1st half

Unit 17: Order of operations

Unit 18: Introduction to algebra

Unit 19: Algebraic generalisation project

Summer 2nd half

Unit 20: Percentages

Unit 21: Handling data

Unit 22: Projects and review

 Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Written test and DIRT task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 7

End of Year written exam covering all the topics done in year 7 

Extra-Curricular Activities/ How you can help at home

Students are expected to complete weekly online independent learning tasks which are set on MathsWatch or MyMaths. Please support your daughter at home by ensuring she has completed each task to the best of her ability.

Please ensure students are revising thoroughly for all tests. They should use the websites mentioned above to support their revision.

Students are developing fluency, reasoning skills and their ability to solve problems through Mathematics Mastery cumulative curriculum and will therefore be continually developed and built upon across academic years.

To accompany each term's key learning and lesson planning support we have provided student workbooks online as an extra source of practice for developing fluency and problem- solving skills.

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 Year 8

Term

Topic/ Key Enquiry Question

Type of Assessment

Autumn

Autumn 1ST half term

Unit 1 Primes numbers and factorisation

Unit 2 Add and subtract fractions and mixed numbers

Autumn 2nd half term

Unit 3 Positive and negative numbers

Unit 4 Sequences, expressions and equations

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Written test and DIRT task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 7 and in year 8.

Spring

Spring 1ST half term

Unit 5 Draw accurate triangles and quadrilaterals and find unknown angles (including parallel lines)

Unit 6 Length and area – units, parallelograms and trapeziums

Spring 2nd half term

Unit 7 Percentage change

Unit 8 Ratio (equivalent, of a quantity) and rate

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Written test and DIRT task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 7 and in year 8.

Summer

Summer 1ST half term

Unit 9 Rounding, significant figures and estimation

Unit 10 Circumference and area of a circle

Unit 11 3D shapes and their nets

Unit 12 Surface area and volume of cuboid, prism, cylinder, composite solids

Summer 2nd half term

Unit 13 Statistics

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Written test and DIRT task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 7 and in year 8.

End of Year written exam covering all topics learnt in year 7 and year 8.

Extra-Curricular Activities/ How you can help at home

Students are expected to complete weekly online independent learning tasks which are set on MathsWatch or MyMaths. Please support your daughter at home by ensuring she has completed each task to the best of her ability.

Please ensure students are revising thoroughly for all tests. They should use the websites mentioned above to support their revision.

Students are developing fluency, reasoning skills and their ability to solve problems through Mathematics Mastery cumulative curriculum and will therefore be continually developed and built upon across academic years.

To accompany each term's key learning and lesson planning support we have provided student workbooks online as an extra source of practice for developing fluency and problem- solving skills.

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Year 9

Term

Topic/ Key Enquiry Question

Type of Assessment

Autumn

Autumn 1ST half term

Unit 1 Coordinates

Unit 2 Linear graphs

Unit 3 Proportion

Unit 4 Scales and standard form

Autumn 2nd half term

Unit 5 Linear and non-linear sequences

Unit 6 Expanding and factorising

Unit 7 Changing the subject of a formula

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Written test and DIRT task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 7, Year 8, and Year 9

Spring

Spring 1ST half term

Unit 8 Constructions

Unit 9 Congruence

Unit 10 Pythagoras’ theorem

Unit 11 Angles in polygons

Spring 2nd half term

Unit 12 Linear equations and inequalities

Unit 13 Graphical solutions

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Written test and DIRT task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 7, Year 8, and Year 9

Summer

Summer 1ST half term

Unit 14 Probability

Unit 15 Working with data

Unit 16 Scatter graphs

Summer 2nd half term

Unit 17 Similarity and enlargement

Unit 18 Transformations

Unit 19 Trigonometry

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Written test and DIRT task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 7, Year 8, and Year 9

End of year written test covering all topics learnt in Year 7, Year 8 and Year 9

Extra-Curricular Activities/ How you can help at home

Students are expected to complete weekly online independent learning tasks which are set on MathsWatch or MyMaths. Please support your daughter at home by ensuring she has completed each task to the best of her ability.

Please ensure students are revising thoroughly for all tests. They should use the websites mentioned above to support their revision.

Students are developing fluency, reasoning skills and their ability to solve problems through Mathematics Mastery cumulative curriculum and will therefore be continually developed and built upon across academic years.

To accompany each term's key learning and lesson planning support we have provided student workbooks online as an extra source of practice for developing fluency and problem- solving skills.

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GCSE Foundation Tier

Year 10

Term

Topic/ Key Enquiry Question

Type of Assessment

Autumn

Autumn 1st Half

Unit 1: Factors, multiples and primes

Unit 2: Powers and roots

Unit 3: Indices

Unit 4: Standard form

Unit 5: Sequences

Autumn 2nd Half

Unit 6: Key Stage 3 Algebra review

Unit 7: Quadratics

Unit 8: Quadratic graphs

Unit 9: Simultaneous equations

 

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Exam practice on Method Maths.

Written test and Dirt task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 10.

Spring

Spring 1st half

Unit 10: Key Stage 3 Fractions, decimals and percentages review

Unit 11: Percentages

Unit 12: Probability, sets, venn and sample space diagrams

Spring 2nd half

Unit 13: Transformations

Unit 14: 2D shapes and circle geometry

Unit 15: 3D shapes

Unit 16: Volume and surface area

 

 

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Exam practice on Method Maths.

Written test and DIRT task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 10.

Summer

Summer 1st half

Unit 17: Ratio review

Unit 18: Direct and inverse proportion

Unit 19: Pythagoras’ Theorem review

Unit 20 Similarity and trigonometry review

Summer 2nd half

Unit 21: Averages and range

Unit 22: Data collection and sampling

Unit 23: Presenting data including scatter diagrams

 

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Exam practice on Method Maths.

Written test and Dirt task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 10.

Extra-Curricular Activities/ How you can help at home

Students are developing fluency, reasoning skills and their ability to solve problems through Mathematics Mastery cumulative curriculum and will therefore be continually developed and built upon across the year.

Students are expected to complete weekly online independent learning tasks which are set on MathsWatch or MyMaths and exam practice which is set on Method Maths. Please support your daughter at home by ensuring she has completed each task to the best of her ability.

Please ensure students are revising thoroughly for all tests. They are able to use the websites mentioned above to support their revision.

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 Year 11

Term

Topic/ Key Enquiry Question

Type of Assessment

Autumn

Autumn 1st Half

Unit 24: Vectors

Unit 25: Geometric reasoning

Unit 26: Bearings

Unit 27: Congruence and proof

Unit 28: Construction and Loci

Autumn 2nd Half

Unit 29: Linear Inequalities

Unit 30: Linear graphs

Unit 31: Non-linear graphs

 

 

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Exam practice on Method Maths.

Full mock exam at the end of the term which includes all 3 papers: 1 non-calculator and 2 calculator papers.

DIRT task based on the mock exam.

Spring

Spring 1st half

Revision and exam preparation

Spring 2nd half

Revision and exam preparation

Exam practice on Method Maths.

Targeted independent learning tasks set on MathsWatch/MyMaths.

Full mock exam at the end of the term which includes all 3 papers: 1 non-calculator and 2 calculator papers.

DIRT task based on the mock exam.

Summer

Summer 1st half

Revision and exam preparation

Summer 2nd half

GCSE Examination

Exam practice on Method Maths.

Targeted independent learning tasks set on MathsWatch/MyMaths.

 

Extra-Curricular Activities/ How you can help at home

Students are developing fluency, reasoning skills and their ability to solve problems through Mathematics Mastery cumulative curriculum and will therefore be continually developed and built upon across the year.

Students are expected to complete weekly online independent learning tasks which are set on MathsWatch or MyMaths and exam practice which is set on Method Maths. Please support your daughter at home by ensuring she has completed each task to the best of her ability.

Please ensure students are revising thoroughly for all tests and mock exams. They are able to use the websites mentioned above to support their revision.

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GCSE Higher Tier 

Year 10

Term

Topic/ Key Enquiry Question

Type of Assessment

Autumn

Autumn 1st Half

Unit 1: Powers and roots

Unit 2: Surds and irrational numbers

Unit 3: Indices

Unit 4: Standard form

Unit 5: Sequences

Autumn 2nd Half

Unit 6: Quadratics

Unit 7: Quadratic Graphs

Unit 8: Algebraic Fractions

Unit 9: Simultaneous equations

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Exam practice on Method Maths.

Written test and

Dirt task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 10.

Spring

Spring 1st half

Unit 10: Key Stage 3 Fractions, decimals and percentages review

Unit 11: Percentages

Unit 12: Probability, sets, venn and sample space diagrams including conditional probability

Spring 2nd half

Unit 13: Transformations

Unit 14: Upper and Lower bounds

Unit 15: 2D shapes including Circle Geometry

Unit 16: 3D shapes

Unit 17: Volume and Surface Area

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Exam practice on Method Maths.

Written test and

Dirt task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 10.

Summer

Summer 1st half

Unit 17: Compound Measures and Proportion

Unit 18: Pythagoras’ Theorem review

Unit 19: Similarity and trigonometry review

Unit 20: 3D Triangles

Summer 2nd half

Unit 21: Averages and range

Unit 22: Data collection and sampling

Unit 23: Presenting data including scatter diagrams

Unit 24: Further statistical diagrams

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Exam practice on Method Maths.

Written test and

Dirt task at the end of each half-term. These are cumulative tests which over everything a student has learned from the beginning of Year 10.

End of Year written exam covering all the topics learned from

year 7 to Year 10

Extra-Curricular Activities/ How you can help at home

 Students are developing fluency, reasoning skills and their ability to solve problems through Mathematics Mastery cumulative curriculum and will therefore be continually developed and built upon across the year.

 Students are expected to complete weekly online independent learning tasks which are set on MathsWatch or MyMaths and exam practice which is set on Method Maths. Please support your daughter at home by ensuring she has completed each task to the best of her ability.

 Please ensure students are revising thoroughly for all tests. They are able to use the websites mentioned above to support their revision.

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Year 11 

Term

Topic/ Key Enquiry Question

Type of Assessment

Autumn

Autumn 1st Half

Unit 27: Vectors

Unit 28: Geometric reasoning

Unit 29: Circle Theorems

Unit 30: Bearings

Unit 31: Congruence

Unit 32: Construction and Loci

Autumn 2nd Half

Unit 33: Linear and Quadratic Inequalities

Unit 34: Linear graphs

Unit 35: Non-linear graphs including exponential graphs

Unit 36: Trigonometric graphs

Topic tests at the end of each topic.

Weekly online independent learning tasks set on MathsWatch/MyMaths.

Exam practice on Method Maths.

Full mock exam at the end of the term which includes all 3 papers: 1 non-calculator and 2 calculator papers.

DIRT task based on the mock exam.

Spring

Spring 1st half

Unit 37: Algebraic reasoning and proof

Unit 38: Recurrence relations

Unit 39: Functions

Unit 40: Transformations of graphs

Unit 41: Further Graphs

Spring 2nd half

Revision and exam preparation

Exam practice on Method Maths.

Targeted independent learning tasks set on MathsWatch/MyMaths.

Full mock exam at the end of the term which includes all 3 papers: 1 non-calculator and 2 calculator papers.

DIRT task based on the mock exam.

Summer

Summer 1st half

Revision and exam preparation

Summer 2nd half

GCSE Examination

Exam practice on Method Maths.

Targeted independent learning tasks set on MathsWatch/MyMaths.

Extra-Curricular Activities/ How you can help at home

Students are developing fluency, reasoning skills and their ability to solve problems through Mathematics Mastery cumulative curriculum and will therefore be continually developed and built upon across the year.

Students are expected to complete weekly online independent learning tasks which are set on MathsWatch or MyMaths and exam practice which is set on Method Maths. Please support your daughter at home by ensuring she has completed each task to the best of her ability.

Please ensure students are revising thoroughly for all tests and mock exams. They are able to use the websites mentioned above to support their revision.

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A Level 

Year 12

Term

Topic/ Key Enquiry Question

Type of Assessment

Autumn

Pure

·       Algebra and functions (Algebraic manipulation and surds)

·       Quadratic functions

·      Equations and inequalities

·        

Applied

·       Sampling

·       Data presentation

·       Probability

All students are assessed every 2-3 weeks at the end of each topic via end of chapter tests. Students will also be examined at the end of each term on the previous terms work.

·       Coordinate geometry (Equations of straight lines, gradients, y = mx +c)

·       Coordinate geometry (circle theorems and equation of circles)

·       Graphs and transformations

·       Algebraic methods

·       Kinematics 1

·       Forces and Newton’s law

Spring

·       Binomial expansion

·       Trigonometry

·       Trigonometric identities and equations

·       Statistical distributions

·        

·       Differentiation

·       Integration

 

·       Statistical hypothesis testing

 

Summer

·       Vectors

·       Exponentials and logarithms

·       Kinematics 2

Pure module

·      Proof

·      Algebraic and partial fractions

·      Functions and modeling

·      Series and sequences

 

at the end of year 12 all students will sit a mock AS paper based on all the work from year 12.

Extra-Curricular Activities/ How you can help at home

 Students will be given home learning tasks at the end of every lesson.

These tasks will be either questions from the text book or past paper exam question practice.

 Websites to help

·         Exam solutions

·         Hegarty Maths

·         Physicsandmathstutor

·         Crashmaths

·         MyMaths

·         MadasMaths

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 Year 13

Term

Topic/ Key Enquiry Question

Type of Assessment

Autumn

Pure

·      Algebraic methods

·      Functions and graphs

·      Sequences and series

·      Binomial expansion

Applied

·       Regression

·       Conditional probability

All students are assessed every 2-3 weeks at the end of each topic via end of chapter tests. Students will also be examined at the end of each term on the previous terms work.

·       Radians

·       Trigonometric functions

·       Trigonometry and modelling

·       Normal distribution

Spring

·       Parametric equations

·       Differentiation

·       Numerical methods

·       Moments

·       Forces and friction

Students will take a  mock exam as calendared by the school

·       Integration

 

·       Projectiles

·       Applications of forces

Summer

·       Vectors

 

 

A level exam (Pearson)

·       Kinematics

Various preparatory mock exams

 

A Level exam (Pearson)

Extra-Curricular Activities/ How you can help at home

 Students will be given home learning tasks at the end of every lesson.

These tasks will be either questions from the text book or past paper exam question practice.

 Websites to help

·         Exam solutions

·         Hegarty Maths

·         Physicsandmathstutor

·         Crashmaths

·         MyMaths

·         MadasMaths

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Resit GCSE Mathematics

Term

Topic/ Key Enquiry Question

Type of Assessment

Autumn

Pure

·      Initial Test

·      Decimals and rounding

·      Negatives, Primes, Powers, Multiples and Factors

·      FDP

·      Charts and Graphs

·      Algebra 1

·      Solving Equations

·      Expanding Double Brackets

·      Initial Test

·      Progress Test 1 & Review

·       Averages

·       Stem & Leaf diagrams & Frequency polygons

·       Tree diagrams & Two way tables

·       Venn diagrams

·       Ratio 1

·       HCF & LCM

·       Inequalities & Changing the subject of a formula

·       Progress Test 2 & Review

·       Full GCSE November Paper (Pearson) for some students

Spring

·       Simultaneous equations

·       Error intervals

·       Area & perimeter

·       Pythagoras’ theorem

·       Circles

·       Indices

·       Standard form

·       Volume

·       Surface area

·       Conversion rates

·       Mock Paper 1

·       Level 2 Functional Skills Paper for some students

 

·       Plotting Lines and curves

·       Compound Measures

·       Calculator Skills

·       Transformations

·       Angle Facts

·       Mock Paper 2

Summer

·       Angles in polygons

·       Sequences

·       Constructions & Loci

·       Trigonometry

·       Bearings

·       Exam Paper Practice

GCSE Examination (Pearson)

·       Mock Paper 3

 

 

Full GCSE June Examination (Pearson)

Level 2 Functional Skills for some pupils

 

Extra-Curricular Activities/ How you can help at home

Students will be given home learning tasks at the end of every lesson.

These tasks will be either worksheet questions from the lesson or past paper exam question practice.

Websites to help

·         Mathswatch

·         MyMaths

·         CorbettMaths

·         Onmaths

·         HegartyMaths

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How we assess what your child has been taught

MATHS

How will classwork be marked/

monitored/

graded/

self-assessed?

KS3 & KS4

Maths books will be monitored at least once every three weeks. Comments may be written.

Once per half term a yellow sticker will be stuck in student books with comments on what went well and targets to improve further. A working at grade will also be recorded.

Pupils are expected to self and peer mark class work and do corrections – all in green pen

KS5

Classwork is monitored and checked during lessons.

Students take responsibility for peer-assessing and self-assessing their own work.

What classwork will be marked?

KS3 & KS4

All classwork will be seen. Selected work will be marked fully. This might be exam questions or specific problem-solving questions

KS5

Problem Solving questions and Examination questions

How will students ‘reflect’ on marking/ feedback?

KS3, KS4 & KS5

Students are given time in Maths lessons to respond to feedback, complete corrections and do any improvements in green pen.

Students also complete a DIRT task every term after an assessment to reflect on their assessments

How will Homework be marked/

monitored/

graded?

KS3, KS4 & KS5

Homework is checked when it is due in.

It is marked with the books.

Homework is often peer-assessed or self-assessed to develop student’s independence and encourage them to take responsibility for their work.

Online tasks using Mathswatch, Method Maths, Mymaths or Sam Learning are marked and graded online

What are the formal Assessments? When are they marked?

KS3, KS4 & KS5

Exam style questions or full tests.

Tests at the end of topics or at the end of every half term

In year 9 and 10 external Award exams and Functional Skills exam

Tests during school exam season.