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KS3: MYP Mathematics

Intent

We aim to inspire, enthuse and motivate students to have a love of mathematics within their studies at KS3 and beyond. We want to develop students’ mathematical knowledge, understanding and skills that should bring benefit and enrichment to their everyday life as well as in their professional life beyond school. We believe that this curriculum will encourage students to explore more about this riveting subject.

Curriculum Journey

In the dynamic learning journey of students in years 7, 8, and 9, mathematics plays a pivotal role in shaping their cognitive development. Building upon their prior Key Stage 2 (KS2) knowledge, these young learners delve into more complex mathematical concepts. Their foundational arithmetic and problem-solving skills acquired in earlier years provide a sturdy scaffold for grasping algebra, geometry, and data analysis. As they progress, students become more adept at abstract thinking and problem-solving, developing a deeper understanding of mathematical concepts. This journey equips them with the essential skills and knowledge required for Key Stage 4 and beyond. By the time they enter Key Stage 4, students possess a robust mathematical toolkit that will not only help them excel in GCSE examinations but also provides a strong foundation for further studies in Key Stage 5, setting the stage for more advanced mathematical explorations and career pathways.

Schedule of learning

  • Module 1: Algebraic thinking- Sequences, Algebraic notation and substitution, Expressions and equations.
    (Criterion A)

  • Module 2: Developing number-  Place value, ordering and rounding, Four operations, Averages and range.
    (Criteria B&C).

  • Module 3: Representations- Graphing data, Fractions, decimals and percentages.
    (Criterion D).

  • Module 4: Fractional thinking- Directed number, Fractions and percentages of amounts, Add and subtract fractions.
    (Criteria B&C).

  • Module 5: Geometry and measures- Perimeter and area, Angles and polygons.
    (Criterion D).

  • Module 6: Geometry and measures- Perimeter and area, Angles and polygons.
    (Criterion A).

 

Schedule of learning

  • Module 1: Working with ratio and expressions- Ratio, Proportion and scale, Algebraic manipulation.
    (Criteria B & C)
  • Module 2: Understand space and number- Coordinates and graphs, Multiply and divide fractions, Symmetry and reflection.
    (
    Criterion A)
  • Module 3: Understand shapes and solving equations- Area and volume, Density, Equations and inequalities.
    (Criterion D)
  • Module 4: Developing number- Percentages, Indices, Standard form.
    (Criterion A)
  • Module 5: Exploring data and angles- Interpret and represent data, Angles in parallel lines, Angles in polygons.
    (Criteria B & C)
  • Module 6: Probability, representations, sequences- Tables and probability, Circles, Graphs and charts, Sequences.
    (
    Criterion D)

Schedule of learning

  • Module 1: Understanding numbers and measurements- Properties of number, Percentages, Area and volume.
    (
    Criterion B & C)
  • Module 2: Reasoning with algebra and numbers- Equations, inequalities and formulae, Fractions, Rates, Standard form.
    (Criterion A)
  • Module 3: Exploring real-world maths, lines and ratio- Maths and money, Straight line graphs, Ratio and proportion.
    (Criterion D)
  • Module 4: Geometric reasoning and algebra- Constructions and congruence, Similarity, Algebraic manipulation.
    (Criteria B&C)
  • Module 5: Understanding triangles, graphs, and probability- Pythagoras’ theorem, Non-linear graphs, Probability.
    (Criterion A)
  • Module 6: Exploring shapes and equations- Transformations, Simultaneous equations, Trigonometry.
    (
    Criterion D)

Assessment

Each module in the table above is assessed based on the following criterion in the table below. Each criteria is graded from 1-8 (8 demonstrating that the criteria has been fully met) with this being determined by teacher judgments about students’ work.

Final grades are then awarded from a range of 1-8, with each ascending grade demonstrating the students mastery of that particular subject.

Resources

KS4: GCSE Mathematics

Intent

We aim to inspire, enthuse and motivate students to have a love of mathematics within their studies at KS4 and beyond. We want to develop students’ mathematical knowledge, understanding and skills that should bring benefit and enrichment to their everyday life as well as in their professional life beyond school. We believe that this curriculum will encourage students to explore more about this riveting subject.

Curriculum Journey

During years 10 and 11, students embark on a transformative learning journey in mathematics. Leveraging their prior Key Stage 3 (KS3) knowledge, they delve deeper into the realm of mathematics, tackling topics such as trigonometry, calculus, and advanced statistics. Their KS3 foundation provides them with the essential skills and understanding required to grasp these more advanced concepts. This period of their education equips them for Key Stage 5, where they can further specialise in mathematics or related subjects like physics or engineering. Moreover, their journey in years 10 and 11 offers practical applications beyond the classroom. These students learn to solve real-world problems, make informed decisions in various contexts, and lay the groundwork for future career paths, where mathematical skills are highly sought after in fields ranging from finance and computer science to engineering and data analysis.

Careers

Ideal preparation for university courses requiring a high level of mathematics. Links to many careers such as engineering, science, computer programming, project management, statistician, analyst, economics, architecture and graphic design. Transferable life skills include problem-solving, logical thinking, resilience, mathematical writing, working systematically, spatial reasoning, data justification and independent thinking.

Assessment

Internal Assessment

External Assessment

  • Year 10 module 2: Summative assessment – Similarity and Algebra
  • Year 10 module 4: Summative assessment – Number, Algebra, Geometry & Proportions 
  • Year 10 module 6: Mock Exams (GCSE Past Papers)
  • Year 11 module 2: Mock Exams (GCSE Past Papers)
  • Year 11 module 3: Mock Exams (GCSE Past Papers)

Weighting: Paper 1 = 33.3%, Paper 2 = 33.3%, Paper 3 = 33.3%

  • Paper 1 – Non Calculator (90 minutes)
  • Paper 2- Calculator (90 minutes)
  • Paper 3- Calculator (90 minutes)

Schedule of learning

  • Algebraic manipulation
  • Equations, inequalities and formulae
  • Quadratic expressions and equations
  • Percentages
  • Ratio and scale
  • Work with fractions

Summative assessment: Algebra, Number, Ratio

  • Non-calculator methods
  • Straight line graphs
  • Probability
  • Rounding and estimation
  • Perimeter, area and volume
  • Interpret and represent data
  • Non-linear graphs

Summative assessment: Graphs, Probability and Statistics, Geometry and Measures

  • Angles
  • Graphs and diagrams
  • Vectors
  • Factors, powers and surds
  • Pythagoras’ theorem and trigonometry
  • Simultaneous equations

Assessment criteria covered:
Mock exams (GCSE past papers)

Schedule of learning

Number Theory

  • Estimation Operations with Standard form
  • Indices 
  • Fraction-Decimal-Percentage (FDP)
  • The Multiplier

Higher 

  • Error Intervals 
  • Indices 
  • Standard Form
  • Product Rule for Counting 
  • Bounds 
  • Surds 
  • Recurring decimals to fractions

Ratio & Proportion

  • Sharing using ratios
  • compound measures
  • Similar Shapes
  • Best buy
  • scale drawings

Higher 

  • Expanding and factorising quadratics
  • Plotting graphs
  • Changing the subject
  • Linear and quadratic inequalities
  • Simultaneous equations

Algebra & Geometry

  • Solving linear equations
  • Drawing linear graphs
  • Factorising quadratic expressions
  • Solving quadratic equations

Higher 

  • Compound measures
  • Direct and inverse proportion
  • Similarity and congruence

Probability and Statistics

  • Angles in the transversal
  • Angles in polygons
  • Sine, Cosine and Tangent
  • Vectors

Higher 

  • Angles in polygons
  • Bearings
  • Volume and surface area
  • Pythagoras and trigonometry

GCSE Revision

  • Revision based on Mock Exam Gaps

Higher 

  • Box plots
  • Cumulative frequency
  • Histograms

External Exams (GCSEs)

  • Bespoke exam question practice

KS5: A Level Maths

Intent

To build upon and extend mathematical knowledge and skills from GCSE to A-level, studying pure maths, mechanics and statistics. To understand mathematical processes in a way that promotes confidence, fosters enjoyment and provides a strong foundation for further study. To develop problem-solving skills, making links between different areas of maths. To apply mathematics in a variety of contexts and be aware of its relevance to the world of work and to society in general. To give students a strong skill set to best prepare them for the rigour of A-level exam questions.

Curriculum Journey

In years 12 and 13, students’ mathematical learning journey takes on a more specialised and advanced dimension. Building upon the strong foundation established in Key Stage 4, these students delve into more complex mathematical theories and applications, including calculus, statistics, and advanced algebra. Their prior KS4 knowledge serves as a crucial springboard, allowing them to tackle intricate mathematical concepts and challenges with confidence. This journey equips them not only for success in A-level examinations but also for postgraduate studies and real-life applications. With a deep understanding of mathematics, they are well-prepared for diverse academic pursuits and real-world problem-solving, from pursuing STEM careers to making informed decisions in fields such as finance, engineering, and data science. The journey in years 12 and 13 thus plays a pivotal role in shaping their academic and professional futures.

Careers

Ideal preparation for university courses requiring a high level of mathematics. Links to many careers such as engineering, science, computer programming, project management, statistician, analyst, economics, architecture and graphic design. Transferable life skills include problem-solving, logical thinking, resilience, mathematical writing, working systematically, spatial reasoning, data justification and independent thinking.

Assessment

Internal Assessment

External Assessment

  • Module 1-2
    Half-term test. Weekly revision tasks, (starting in 4th week). Feedback from marked homework tasks.
    Year 13 Mocks Pure (combination of P1 and P2) 100 marked points
    Statistics and Mechanic  100 marked points
  • Module 3-4
    February mock exams. Weekly revision tasks. Feedback from marked homework tasks. Half-termly test.
  • Module 5-6
    Final exams/Mocks . Weekly revision tasks. Feedback from marked homework tasks.
  • End of year 13
  • Pure P1- marked out of 100 points 33.33%
  • Pure P2- Marked out of 100 points 33.33%
  • Statistics and Mechanics P3- Marked out of 100 ( 50 for statistics an 50 fo mechanics) points 33.33%

Schedule of learning

Pure

  • Algebraic expressions,
  • Quadratics
  • Equations and Inequalities

Statistics and Mechanics 

  • Data Collection
  • Measure of Location and Spread

Pure

  • Graphs and Transformations
  • Straight line graphs
  • Circle

Statistics and Mechanics 

  • Representation of data
  • Correlation

Pure

  • Algebraic Fractions
  • The Binomial expansions

Statistics and Mechanics 

  • Statistics Distribution
  • Hypothesis Testing

Pure

  • Trigonometry ratios
  • Trig Identities and Equations
  • Vectors

Statistics and Mechanics 

  • Modelling in Mechanics
  • Constant
  • Acceleration

Pure

  • Differentiation
  • Integration

Statistics and Mechanics 

  • Forces and Motions
  • Variable
  • Accelerations

Pure

  • Logarithm
  • Revision

Statistics and Mechanics 

  • Algebraic
  • Expressions (Yr2)
  • Functions and Graphs (Yr2)

Schedule of learning

Pure

  • Sequence and Series
  • Binomial Expansion
  • Radians

Statistics and Mechanics 

  • Regression
  • Correlations and Hypothesis testing

Pure

  • Trigonometry
  • Functions
  • Trigonometry
  • Modelling
  • Parametric equations

Statistics and Mechanics 

  • Conditional probability
  • The Normal Distribution

Pure

  • Differentiations
  • Numerical Methods

Statistics and Mechanics 

  • Moments
  • Forces and Frictions
  • Projectiles

Pure

  • Integration
  • Vectors

Statistics and Mechanics 

  • Application of Forces
  • Further Kinematics

Pure

  • Revision, exams practise and main exams

Statistics and Mechanics 

  • Revision, exams practise and main exams