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.

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
What classwork will be marked?	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.