Intent
Maths is for everyone. It is diverse, engaging and essential in equipping students with the right skills to reach their future destination, whatever that may be. The teaching of mathematics enables students to be able to form their own conclusions, as it teaches them how to solve problems using logical steps and procedures.
Students follow the National Curriculum which aims to ensure that all pupils become fluent in the fundamentals of mathematics, reason mathematically and can solve problems by applying their mathematics to a variety of routine and non-routine situations.
The content is organised into broad topic areas:
- Number
- Algebra
- Ratio, proportion and rates of change
- Geometry and measures
- Probability
- Statistics
Learning Journey
Click the image to download.
Curriculum Map
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KS3
Subject:
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Y7 Content
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Y7 Key Assessment
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Y8 Content
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Y8 Key Assessment
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Y9 Content
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Y9 Key Assessment
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Autumn 1
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Sequences
Understand and use Algebraic Notation
Equality and Equivalence
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Alternate weeks: written worksheet
or
online quiz/cultural task
3 block tests
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Ratio and scale
Multiplicative change
Multiplying and dividing fractions
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Alternate weeks: written worksheet
or
online quiz/cultural task
3 block tests
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Foundation:
Basic Number
Angles
Higher:
Fractions, ratio and proportion
Angles
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Summative Unit Test: Test 1
6 x chapter questions
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Autumn 2
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Place Value and ordering integers and decimals
Fraction, decimal and percentage equivalence
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Alternate weeks: written worksheet
or
online quiz/cultural task
2 block tests
Formal assessment
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Working in the Cartesian plane
Representing data
Tables and Probability
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Alternate weeks: written worksheet
or
online quiz/cultural task
3 block tests
Formal assessment
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Foundation:
Probability and Events
Measures and scale drawing
Higher:
Transformations
Exploring and applying probability
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Summative Unit Test: Test 2
6 x chapter questions
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Spring 1
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Solving problems with addition and subtraction
Solving problems with multiplication and division
Fractions and percentages of amounts
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Alternate weeks: written worksheet
or
online quiz/cultural task
3 block tests
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Brackets, equations and inequalities
Sequences
Indices
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Alternate weeks: written worksheet
or
online quiz/cultural task
3 block tests
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Foundation:
Approximations
Ratio, speed and proportion
Higher:
Ratio and proportion
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Summative Unit Test: Test 3
6 x chapter questions
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Spring 2
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Four operations with directed number
Addition and subtraction of fractions
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Alternate weeks: written worksheet
or
online quiz/cultural task
2 block tests
Formal assessment
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Fractions and percentage
Standard index form
Number sense
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Alternate weeks: written worksheet
or
online quiz/cultural task
3 block tests
Formal assessment
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Foundation:
Construction and loci
Expressions and formulae
Higher:
Construction and loci
Linear graphs
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Summative Unit Test: Test 4
6 x chapter questions
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Summer 1
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Constructing, measuring and using geometric notation
Developing geometric reasoning
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Alternate weeks: written worksheet
or
online quiz/cultural task
2 block tests
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Angles in parallel lines and polygons
Area of trapezia and circles
Line symmetry and reflection
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Alternate weeks: written worksheet
or
online quiz/cultural task
3 block tests
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Foundation:
Linear graphs
Higher:
Linear graphs
Basic number
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End of Year 9 GCSE exam – 3 papers
3 x chapter questions H/W
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Summer 2
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Developing number sense
Sets and probability
Prime numbers and proof
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Alternate weeks: written worksheet
or
online quiz/cultural task
3 block tests
Formal assessment
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The data handling cycle
Measures of location
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Alternate weeks: written worksheet
or
online quiz/cultural task
2 block tests
Formal assessment
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Foundation:
Transformations
Charts, tables and averages
Higher:
Algebraic manipulation
Powers and standard form
Statistical diagrams and averages
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Summative Unit Test: Test 5
6 x chapter questions
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KS4
Course:
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Y10 Content
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Y10 Key Assessment
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Y11 Content
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Y11 Key Assessment
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Autumn 1
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Foundation:
Number Properties;
Expressions and Formulae;
Higher
Number and sequences;
Length and area;
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Summative Unit Test: Test 1
6 x chapter questions
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Foundation:
Trigonometry
Simultaneous Equations
Higher:
Quadratic equations – solving algebraically
Distance/velocity time graphs;
Acceleration
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Summative Unit Test: Test 1
6 x practice papers H/W
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Autumn 2
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Foundation:
Perimeter and Area;
Decimals and Fractions;
Higher
Volume;
Equations and inequalities;
Right angled triangles - Pythagoras’ Theorem
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Summative Unit Test: Test 1
6 x chapter questions
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Foundation:
Representing and interpreting statistics;
Powers and Standard Form
Higher
Vectors
Quadratic Equations – plotting graphs
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Pre public exams 1 GCSE exam – 3 papers
3 x practice papers H/W
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Spring 1
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Foundation
Volumes and surface area of prisms;
Percentages and compound Measures;
Higher
Algebraic manipulation;
Similarity
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Summative Unit Test: Test 1
6 x chapter questions
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Foundation:
Congruency and similarity
Non linear graphs
Higher:
Quadratic graphs;
Algebraic fractions
Combined events
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Summative Unit Test: Test 2
6 x practice papers H/W
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Spring 2
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Foundation:
Linear equations;
Expressions and formulae
Percentages
Higher:
Right angles triangles - trigonometry
Sampling and more complex diagrams
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Summative Unit Test: Test 1
6 x chapter questions
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Foundation:
Exam preparation and revision
Higher:
Composite functions and iteration
Advanced trigonometry;
Trigonometric graphs;
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Pre public exams 1 GCSE exam – 3 papers
3 x practice papers H/W
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Summer 1
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Foundation
Curved shapes and pyramids;
Probability – combined events
Higher
Counting; accuracy, powers and surds;
Equations and inequalities
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Summative Unit Test: Test 1
6 x chapter no change questions
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Foundation:
Exam preparation and revision
Higher:
Exam preparation and revision
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6 x practice papers H/W
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Summer 2
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Foundation:
Pythagoras Theorem;
Numbers and sequences
Higher:
Circle Theorems;
Limit of accuracy;
Permutations and combinations
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End of Year 10 GCSE exam – 3 papers
3 x chapter questions H/W
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N/A
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N/A
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Further details from S.Bowles@barnwell.herts.sch.uk
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KS5
Course:
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Y12 Content
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Y12 Key Assessment
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Y13 Content
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Y13 Key Assessment
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Autumn 1
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Algebra and Functions
Coordinate geometry in the (x,y) plane
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Baseline Test
Weekly questions H/W
Half Term Assessment
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Functions and modelling
Series and sequences
The binomial theorem
Trigonometry
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Weekly questions H/W
Half Term Assessment
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Autumn 2
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Further algebra
Differentiation
Trigonometry
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Weekly questions H/W
Half Term Assessment
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Differentiation
Parametric equations
Integration 1
Vectors (3D)
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Weekly questions H/W
2 x AS Mock exams
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Spring 1
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Vectors (2D)
Integration
Exponentials and logarithms
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Weekly questions H/W
Half Term Assessment
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Integration 2
Numerical methods
Regression and correlation
Probability
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Weekly Practice Paper
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Spring 2
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Statistical sampling
Data presentation and interpretation
Quantities and units in mechanic
Kinematics 1
Forces and Newton’s laws 1
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Weekly questions H/W
Half Term Assessment
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The Normal distribution
Moments
Forces at any angle
Application of kinematics
Application of forces
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Weekly Practice Paper
2 x AS Mock exams
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Summer 1
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Probability
Statistical distributions
Statistical hypothesis testing
Forces and Newton’s Laws 2
Kinematics 2
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Weekly questions H/W
Half Term Assessment
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The Normal distribution
Further Kinematics
Revision
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Weekly Practice Paper
1 x AS Mock exams
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Summer 2
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Revision
Proof
Algebraic and partial fractions
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Weekly questions H/W
2 x AS Mock Exams
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Revision
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Weekly Practice Paper
Formal assessment
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The Mathematics department is of fundamental importance in any school, and no less so at Barnwell. We look for success in both academic performance and in the development and progress of the students.
The staff are well-qualified, experienced practitioners who take great pride in their practice and their professionalism and thoroughly enjoy their subject.
All students follow a structured scheme of work that prepares them well for public exams. It also challenges them to think, to take an active role in lessons and helps them become independent learners.
AIMS OF THE COURSE
In Key stages 3 and 4 students will be provided with a rich experience of maths, enabling them to understand its importance in analysing problems related to both the real world and to mathematics itself.
The AQA mathematics GCSEs will give students more opportunities to see how mathematics works in the real world (applications) and to engage in conceptual thinking (methods). Problem solving forms an integral part of the mathematics curriculum.
We provide all GCSE students the ability to access the online Collins textbooks.
COURSE CONTENT
Students will study six main topic areas:
Ratio, proportion and rates of change
Students will be expected to have a scientific calculator. The teacher will tell students which would be the best to get. Students will learn how to use it properly and recognise when you make a mistake.
There are now a revised set of Assessment Objectives, with an emphasis on decreasing rote learning and more problem solving, that will often require multi-step solutions. Questions in assessments will be less clearly structured and more open ended, frequently set within real world contexts. These fall into three bands:
Use and apply standard techniques
Students should be able to:
- accurately recall facts, terminology and definitions
- use and interpret notation correctly
- accurately carry out routine procedures or set tasks requiring multi-step solutions
Reason, interpret and communicate mathematically
Students should be able to:
- make deductions, inferences and draw conclusions from mathematical information
- construct chains of reasoning to achieve a given result
- interpret and communicate information accurately
- present arguments and proofs
- assess the validity of an argument and critically evaluate a given way of presenting information
Solve problems within mathematics and in other contexts
Students should be able to:
- translate problems in mathematical or non-mathematical contexts into a process or a series of mathematical processes
- make and use connections between different parts of mathematics
- interpret results in the context of the given problem
- evaluate methods used and results obtained
• evaluate solutions to identify how they may have been affected by assumptions made.
METHOD OF STUDY
Students will be in a set that is working together at one of two levels, foundation or higher depending upon ability. Some of the time students will be listening, sometimes they may be working silently on their own; at other times they will be discussing an idea with the teacher or their set. Students will be given opportunities to work in small groups in a problem solving activity or investigation. Students will also work in some of these activities by themselves. Students will have an exercise book for their work and you will require a scientific calculator in all lessons.
METHOD OF ASSESSMENT
At the end of the GCSE course students will complete three exams. Paper 1 is non-calculator and equates to 33.3% of the final exam grade, papers 2 and 3 are calculator and equates to 33.3% each of the final exam grade. Grades 1 - 9 will be awarded. Students will be assessed throughout the course to ensure that targets are achieved.
Full time Teaching Staff:
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