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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

  • Unit 1: Place value
  • Unit 2: Axioms and arrays
  • Unit 3: Factors and multiples
  • Unit 4: Order of Operation

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

  • Unit 5: Positive and negative numbers
  • Unit 6: Expressions, equations, and inequalities 
  • Unit 7: Angles
  • Unit 8: Classifying 2D Shapes
  • Unit 11: Area of 2D Shapes 

(Units 9, 10 & 12 will be studied in Year 8)

 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

  • Unit 13: Prime factor decomposition
  • Unit 14: Conceptualising and comparing fractions
  • Unit 15: Manipulating and calculating with fractions 
  •  Unit 16: Ratio
  • Unit 17: Percentages

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

  • Unit 1 Primes numbers and factorisation
  • Unit 2 Add and subtract fractions and mixed numbers
  • 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

  • Unit 5 Angles
  • Unit 6 Length and area – units, parallelograms and trapeziums
  • Unit 7 Percentage change
  • Unit 8 Ratio 

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

  • 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
  • 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

  • Unit 1 Coordinates
  • Unit 2 Linear graphs
  • Unit 3 Proportion
  • Unit 4 Scales and standard form
  •  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

  • Unit 8 Constructions
  • Unit 9 Congruence
  • Unit 10 Pythagoras’ theorem
  • Unit 19 Trigonometry
  • Unit 17 Similarity and enlargement
  • Unit 18 Transformations

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

  • Unit 11 Angles in polygons
  • Unit 12 Linear equations and inequalities
  • Unit 13 Graphical solutions
  • Unit 14 Probability
  • Unit 15 Working with data
  • Unit 16 Scatter graphs

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

  •  Unit 1: Factors, multiples and primes
  • Unit 2: Powers and roots
  • Unit 3: Indices
  • Unit 4: Standard form
  • Unit 5: Sequences
  • 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

  • Unit 10: Key Stage 3 Fractions, decimals and percentages review
  • Unit 11: Percentages
  • Unit 12: Probability, sets, venn and sample space diagrams
  • 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

  • Unit 17: Ratio review
  • Unit 18: Direct and inverse proportion
  • Unit 19: Pythagoras’ Theorem review
  • Unit 20 Similarity and trigonometry review 
  • 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

 

  • Unit 24: Vectors
  • Unit 25: Geometric reasoning
  • Unit 26: Bearings
  • Unit 27: Congruence and proof
  • Unit 28: Construction and Loci
  • 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

  •  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

  • Revision and exam preparation
  • 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

  • Unit 1: Powers and roots
  • Unit 2: Surds and irrational numbers
  • Unit 3: Indices
  • Unit 4: Standard form
  • Unit 5: Sequences
  •  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

  • 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
  •  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

  •  Unit 17: Compound Measures and Proportion
  • Unit 18: Pythagoras’ Theorem review
  • Unit 19: Similarity and trigonometry review
  • Unit 20: 3D Triangles
  • 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 t 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

  • Unit 27: Vectors
  • Unit 28: Geometric reasoning
  • Unit 29: Circle Theorems
  • Unit 30: Bearings
  • Unit 31: Congruence
  • Unit 32: Construction and Loci
  • 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

  • Unit 37: Algebraic reasoning and proof
  • Unit 38: Recurrence relations
  • Unit 39: Functions
  • Unit 40: Transformations of graphs
  • Unit 41: Further Graphs
  • 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

  • Revision and exam preparation
  • 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        
  • Coordinate geometry (Equations of straight lines, gradients, y = mx +c)
  • Coordinate geometry (circle theorems and equation of circles)
  • Graphs and transformations
  • Algebraic methods·        

Applied

  • Data collection
  • Measures of location & spread
  • Data presentation
  • Correlation
  • 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.

Spring

  • Binomial epansion
  • Trigonometry
  • Trigonometric identities and equations
  • Differentiation
  • Integration
  • Statistical distributions
  • Statistical hypothesis testing·        

Summer

  • Vectors
  • Exponentials and logarithms
  • Proof
  • Algebraic and partial fractions
  • Functions and modeling
  • Series and sequences
  • Modelling in mechanics 
  • Constant Acceleration
  • Forces and Newton’s law
  • Variable Acceleration

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
  • Radians
  • Trigonometric functions
  • Trigonometry and modelling

Applied

  • Regression
  • Conditional probability
  • Normal distribution

All 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.

Spring

  • ·Parametric equations
  • Differentiation
  • Numerical methods
  • Integration 
  • Moments
  • Forces and friction
  • Projectiles
  • Applications of forces

Students will take a  mock exam as calendared by the school

Summer

  • Vectors
  • A level exam (Pearson)
  • ·Kinematics
  • A Level exam (Pearson)

Various preparatory mock exams

 

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

  • Initial Test
  • Decimals and rounding
  • Negatives, Primes, Powers, Multiples and Factors
  • Fractions, Decimals & Percentages
  • Charts and Graphs
  • Algebra 1
  • Solving Equations
  • Expanding Double Brackets
  • Averages
  • Stem & Leaf diagrams & Frequency polygons
  • Tree diagrams & Two way tables
  • Venn diagrams
  • Ratio 1
  • HCF & LCM
  • Inequalities & Changing the subject of a formula

·Initial Test

·Progress Test 1 & Review

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
  • Plotting Lines and curves
  • Compound Measures
  • Calculator Skills
  • Transformations
  • Angle Facts
  • ·Mock Paper 1
  • ·Level 2 Functional Skills Paper for some students
  • 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 or Mymaths 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.