MATHEMATICS
"If people do not believe that mathematics is simple, it is only because they do not realise how complicated life is."
- John von Neumann
OUR CURRICULUM INTENT
At Aylward Academy our students build their mathematical foundations through a challenging curriculum that students can relate to in their daily lives. Students are empowered to be curious through opportunities to engage with maths inside and outside the classroom. Students will learn that maths is everywhere. The curriculum has been sequenced and is differentiated to ensure students maximise their capabilities, and are supported in recalling and retaining key skills and concepts. Our classrooms provide a safe environment to develop resilience to their learning where exploration, struggle and mistakes are encouraged. Students are challenged to exceed their potential and develop as resilient and independent learners. Our curriculum is accessible to all with a focus on basic numeracy skills for life. All strands of maths - algebra, number, shape, ratio and proportion statistics and probability - are built upon each year to prepare our students for GCSE exam success, A-level study and engagement in the discipline beyond school.
THEMES
Number
Algebra
Ratio, proportion and rates of change
Geometry and measures
Probability
Statistics
SKILLS
Become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time
Develop conceptual understanding and the ability to recall and apply knowledge
Reason mathematically
Can solve problems by applying their mathematics to a variety of routine and nonroutine problems
ASSESSMENT
ILT assessments throughout year
Formative assessment in exercise books
Continuous one to one verbal feedback in lessons
Two summative assessments during the year
STRETCH & CHALLENGE
Use of Mastery worksheets to develop deep understanding of maths.
Probing and problem solving opportunities embedded into every lesson.
Key Stage 3 : Modules Taught
Year 7
Number: Place Value, Properties of Number, Order of Operations, Arithmetic Procedures, Number Sense, Arithmetic Procedures with Fractions, Fraction, Decimal & Percentage Equivalence
Algebra: Expressions, Equations and Inequalities
Ratio, Proportion & Rates of Change: Introduction to Ratio
Geometry & Measure: Perimeter and Area of 2D Shapes, Properties of 2D Shapes, Introduction to Angles
Year 8
Number: Rounding & Estimation, Percentages
Algebra: Expressions 2, Linear Equations, Sequences
Ratio, Proportion & Rates of Change: Ratio 2, Percentages
Geometry & Measure: Circles, Angles 2, Properties of 3D Shapes, Surface area & volume
Probability & Statistics: Representing and interpreting data
Year 9
Number: Standard form
Algebra: Graphs, formulae,
Ratio, Proportion & Rates of Change: Fractions and ration, Compound Measure, Proportionality
Geometry & Measure: Similarity, Transformations, Pythagoras' Theorem, Trigonometry Introduction, Congruence, Construction, Polygons
Probability & Statistics: Set spaces, Venn diagrams, Theoretical probability, Bivariate data
Key Stage 4
Two tiers are available: Foundation and Higher (content is defined for each tier).
Each student will take assessments in either the Foundation tier or Higher tier.
The qualification consists of three equally-weighted written examination papers at either Foundation tier or Higher tier.
The aims and objectives of this qualification are to give students the appropriate mathematical skills, knowledge and understanding to help them progress to a full range of courses in further and higher education. Students will develop confidence, knowledge and understanding in mathematics that they will have acquired during the course of their study that they can apply to other disciplines such as biology, geography and psychology, where the understanding and application of mathematics is crucial.
The assessments will cover the following content headings:
Number
Algebra
Ratio, proportion and rates of change
Geometry and measures
Probability
Statistics
Examination Boards : KS4 : Higher Exam Board - Pearson (EdExcel)
Examination Boards : KS4 : Foundation Exam Board - OCR
Key Stage 5
A Level Maths
The aims and objectives of this qualification are to enable students to understand mathematics and mathematical processes in a way that promotes confidence, fosters enjoyment and provides a strong foundation for progress to further study. Students will extend their range of mathematical skills and techniques and discover how different areas of mathematics are connected. They will use their mathematical knowledge to make logical and reasoned decisions in solving problems both within pure mathematics and in a variety of contexts, and communicate the mathematical rationale for these decisions clearly.
The assessments will cover the following content headings:
PURE
Proof
Algebra and functions
Coordinate geometry in the (x, y) plane
Sequences and series
Trigonometry
Exponentials and logarithms
Differentiation
Integration
Numerical methods
Vectors
APPLIED
Statistics: Statistical sampling, Data presentation and interpretation, Probability, Statistical distributions, Statistical hypothesis testing
Mechanics: Quantities and units in mechanics, Kinematics, Forces and Newton’s laws, Moments
Year 12
The Pearson Edexcel Level 3 Advanced Subsidiary GCE in Mathematics consists of two externally-examined papers.
Students must complete all assessment in May/June in any single year.
Year 13
The Pearson Edexcel Level 3 Advanced GCE in Mathematics consists of three externally-examined papers.
Students must complete all assessment in May/June in any single year.
Examination Boards : KS5 : Pearson (EdExcel)
EXTRA CURRICULAR & ENRICHMENT OPPORTUNITIES
KS3 interventions and support
KS4 & KS5 Booster Clubs
Whole school Number Day activities
Pi Day Activities
Trips - including to Disneyland (Paris), Maths Institute & Science Museum