Maths

WHA Curriculum Intent

Research from National Numeracy says “It is culturally acceptable in the UK to be negative about maths, in a way that we don’t talk about other life skills. We hear ‘I can’t do maths’ so often it doesn’t seem a strange thing to say (Kowsun, 2008). Maths is seen as the remit of ‘mad scientists’, ‘nerdy’ boys, and the socially inept (Epstein et al, 2010). We talk about maths as though it is a genetic gift possessed only by a rare few, and inaccessible to the general public. “

At WHA we strive to challenge this thinking. We are a united team of mathematical enthusiasts who collaboratively plan, and teach, creative and purposeful lessons that aspire to inspire students’ curiosity and sense of fun. We want our students to enjoy maths. They are expected to actively engage in lessons where a love of maths is cultivated, and encouraged to understand mistakes occur as an essential part of the effort of learning. Resilience, persistence and a determination to succeed are the expected norm. Whilst attainment is the ultimate measure of success, effort and progress are our fundamental measures of praise and recognition.

We believe all students are capable of succeeding at mathematics and therefore we actively support the many aspects of mastery including fluency, mathematical thinking, variation and interconnectivity. We understand that learning is not linear and seek to support knowledge and skills acquisition by regular retrieval practice and all opportunities to interleave are utilised. We want students to become the best mathematicians they can be: for this to happen lessons need to be both accessible and challenging for all. We plan to teach to the top by scaffolding up, whilst students are encouraged to establish their own mathematical “toolbox”  to support application of knowledge and skills. Students should embrace a “you can’t catch me out” attitude to information presented in a different way or familiar concepts applied in unfamiliar settings. We want students to leave our care with a “can do” maths mindset and “mathematical power”.

Mathematical power is best described by a set of habits of mind. People with mathematical power perform thought experiments; tinker with real and imagined machines; invent things; look for invariants (patterns); make reasonable conjectures; describe things both casually and formally (and play other language games); think about methods, strategies, algorithms, and processes; visualize things (even when the “things” are not inherently visual); seek to explain why things are as they seem them; and argue passionately about intellectual phenomena. Cuoco, Goldenberg and Mark (1996)

Maths

Maths – Key Stage 3

Term 1Term 2Term 3Term 4Term 5Term 6
Year 9Working with number

Rounding, estimation

Error Intervals

Indices

Standard form

Working algebraically

Expanding & factorising

Identities 

Numerical reasoning

Percentages

Money

Probability

Finding probabilities

Frequency trees

Probability tree diagrams

Working with data

Statistical measures

Averages from freq tables

Boxplots

Reasoning geometrically

Angles in parallel lines

Bearings

Constructions & loci

Solving

Solving equations

Solving inequalities

Simultaneous equations

Sequences

Linear nth term

Fibonacci, quad & geom

Quadratic nth term

Graphing

Straight line graphs

Graphical solutions, parallel lines

Sketching graphs

Rearranging

Rearranging formulae

Units, compound measures

Scaling

Direct/inverse proportion

Similarity

Scale diagrams & maps

Visualising

Transformations

Plans & elevations

Surface area

Year 8Delving into data

Angle

Interpreting & comparing

Averages

Scatter graphs

Formalising algebra

Solve equations

Sequences (nth term)

Graphs of linear functions, y=mx+c

Proportional relationships

Percentages

Convert between fractions, decimals & percentages

Ratio – linking to fractions

Scale diagrams

Geometrical reasoning

Pythagoras

3D shape

Volume

Angle, constructing triangles

Year 7Fractional thinking

Probability

Factors, multiples, primes

Fractions (+/-)

Algebraic thinking

Directed number

Manipulating algebra

Exploring sequences

Proportional reasoning

Fractions (×/÷)

Proportion

Ratio

Units of measure

Using shape

Properties of shape

Notation/labelling conventions

Perimeter & area

Circles – area & circumference

Coordinates & horizontal and vertical lines

Maths – GCSE AQA

Term 1Term 2Term 3Term 4Term 5Term 6
Year 11 H                  Algebra: Solving

Completing the square

Transformations of graphs

Further sim equations

Iteration

Geometry: angle

Circle theorems

3D trig

Non right angled trig

H                Algebra: Functions

Composite, inverse functions

Complex rearranging

Geometry: L, A & V

Congruence

Similarity of 3D shapes

Bounds – limits of accuracy

Formal mocks

H                Algebra: Graphs

Rates of change

Area under curve

Graphs of trig functions

Transformations of graphs

Proof

Geometric proof

Proof using vectors

Proof using algebra

Formal mocks

Class level planning responsive to mock analysis, overseen and supported by maths subject leaders

Including revision with AO2/3:

Numerical

If something changes what will happen

Multiplicative

Ratio with every other topic

Geometric

Reasoning with angle

Algebraic

Evaluation of others work

Final exams

Class level planning responsive to mock analysis, overseen and supported by maths subject leaders

Final exams
F                  Algebra: Solving

Simplifying, solving & rearranging

Solving quadratics

Geometry

Congruence

Trig, exact values

Vectors

Arcs & sectors

F                 Algebra: Graphing

Plotting graphs

Sketching inc cubic, reciprocal

Growth & decay

Inequalities – solve & shade

Formal mocks

F     Class level responsive planning

Including revision with AO2/3:

Multiplicative

Best buys, bank accounts, ratio with every other topic

Geometric

Shape problems – add/split

Multi-step problems

Year 10Properties of number

Factors, multiples, primes

HCF/LCM

Fractional & -ve indices

Surds

Pythagoras with surds

Rationalising the denominator

Similarity

Similar shapes

Enlargement

Trigonometry

FDP

Frac/percent as operators

Percentage change, compound interest

Reverse percentages

Recurring dec & frac

Combinations & prob

Systematic listing

Sample spaces

Venn diagrams

Product rule for counting

Probability trees (non-r)

Geometry

Circles

Area, volume

Volume & surface area

Algebra & Graphing

Straight line graphs – algebra review

Function notation

Solving quadratics

Completing the square

Real life graphs

Sketching quadratics

Perpendicular lines

Equation of circle, tangent

Algebraic fractions 

Fractions review

Algebraic fractions

Describing position

Transformations

Invariance

Vectors, ops

Formal mocks 

(July data entry)

Displaying data

Pie charts, all bar charts

Frequency tables

Cumulative frequency

Histograms

Polygons

Angles review, polygons

Maths A Level – Edexcel

Maths A Level​

Term 1Term 2Term 3Term 4Term 5Term 6
Year 12

Pure​

Statistics​

Mechanics​

Non-AS Pure​

Differentiation​

Algebra &​

Functions​

Binomial Expansion​

Further Algebra​

Data ​

Tree Diagrams​

Probability Distributions​

Data & Sampling​

Logs​

Exponentials​

Exponentials​

Binomial distribution​

Hypothesis testing​

Hypothesis testing​

Critical regions​

Reciprocal trig functions​

Differentiation​

Coordinate Geometry​

Vectors​

Forces & Newton’s Law​

Integration​

Integration​

Trigonometry​

Differentiation​

Kinematics​

AS exam period​Series & Sequences​

Algebraic fractions​

Year 13Trigonometry​

Integration​

Integration​

Moments​

Forces​

Integration​

Differential Equations​

Rates of Change​

Projectiles​

Applications of Forces​

Application of Forces​

Further Kinematics​

​REVISION​
Differentiation​

Probability​

Functions​

Regression & Correlation​

Binomial Theorem​

Normal Distribution​

Trigonometry​

Parametrics & Differentiation​

Proof​

Normal Hypothesis test​

Numerical methods​

Vectors​

Further Maths A Level – Edexcel – Options: Pure 1 and Mechanics 1

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Further Maths A level​​

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​​Term 1​​Term 2​​Term 3​​Term 4​​Term 5​​Term 6​​
Year 12​​

Core​​

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Pure 1​​

Mechanics 1​​

Series​​

Complex Numbers​​

Argand  Diagrams​​

Proof by Induction​​

Roots of  Polynomials​

Matrices 1​​

Matrices 2​​

Volumes of Revolution​​

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AS Exam period​​

Further Complex Numbers​​

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Hyperbolic Functions​​

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Inequalities​​

Conic Sections 1​​

Conic  Sections 1​​

Vectors​​

Work, Energy & Power​​

Work, Energy & Power​​

Vectors​​

Elastic Collisions​​

t-Formulae​​

Numerical Methods ​​

Elastic Collisions  in 2D​​
Year 13​​

Core​​

 

Pure 1​​

Mechanics 1​​

Polar Coords​​

Series​​

Further ​​

Calculus​​

Methods in Differential quations​​Modelling with Differential equations​​​​REVISION​​
Tayor Series​​Elastic Strings, Springs & Energy​​

​​Conic  Sections 2​​

Methods in calculus​​

​​Numerical  methods​​

Reducible differential equations​​