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Year 12 Mathematics Curriculum

Key topics to be taught this year:

Autumn Term

AS Topic Pure

Further details about the topic

 

1

Ch1: Algebraic Expressions

Ch2: Quadratics

Ch3: Equations and Inequalities

Ch4: Graphs and Transformations

Ch5: Straight line Graphs
Ch1: Index Laws, Expanding brackets, Factorising, Surds, Rationalising Denominators

Ch2: Solving Quadratics, Completing the Square, Functions, Graphs, The Discriminant, Modelling

Ch3: Linear Simultaneous Equations, Quadratic Simultaneous Equations, Graphs, Linear and Quadratic inequalities, Graphs of inequalities

Ch4: Cubic, Quadratic and Reciprocal Graphs, points of intersection, translating graphs, stretching graphs, Transforming functions.

Ch5: Equation of a straight line, parallel and perpendicular lines, length and area, modelling with straight lines.

2

Ch6: Circles

Ch7: Algebraic Methods

Ch8: The Binomial expansion

Ch9: Trigonometric ratios

Ch10: Trigonometric identities and equations

Ch6: Midpoints and perpendicular bisectors, Equation of a circle, Intersection of straight lines and circles, Tangent and Chords. Circles and Triangles.

Ch7: Algebraic fractions, Dividing polynomials, The Factor Theorem, Proof.

Ch8: Pascal’s Triangle, Factorial notation, The Binomial expansion, Binomial estimation.

Ch9: The Cosine rule, Sine Rule, Area of a Triangle, Solving problems, Graphs of Trigonometric functions, Transforming Trigonometric graphs.

Ch10: Angles in four quadrants, Exact Trigonometric ratios, , Trigonometric identities, Solving trigonometric equations.

Spring Term

 

 

1

Ch11: Vectors

Ch12: Differentiation

Ch13: Integration

Ch14: Exponentials and Logarithms

Ch11: Vectors, Representing Vectors, Magnitude and direction, Position Vectors, Solving Geometric problems, Modelling with Vectors.

Ch12 Gradients of Curves, Finding the derivative, differentiating quadratics, Differentiating functions with more than one term, Gradients, Tangents, Normals, increasing and Decreasing functions, Stationary points, Modelling with differentiation

Ch13: Indefinite integrating, Finding functions, Definite integrals, Area under a curve, Areas between curves and lines.

Ch14: Exponential function, Exponential modelling, Logarithms, Laws of logarithms, solving equations using logarithms, working with Natural Logarithms, Logarithms and non-linear data.

2

AS Applied

Ch1: Data Collection

Ch2: Measures of Location and Spread

Ch3 Representations of Data

Ch4: Correlation

Ch5: Probability

Ch6: Statistical distributions

Ch7: Hypothesis Testing

Ch8: Modelling in Mechanics

Ch9: Constant Acceleration

Ch10: Forces and Motion

Ch11: Variable acceleration

Ch1: Populations and samples. Sampling, Non-Random samples, Types of Data, The large Data set.

Ch2: Measures of central tendency, Other measures of location, Measures of spread, Variance and Standard deviation, coding.

Ch3: Outliers, Box plots, Cumulative frequency, Histograms, comparing data.

Ch4: Correlation, Linear Regression

Ch5: Calculating Probabilities, Venn Diagrams, Mutually exclusive and independent events, Tree diagrams.

Ch6: Probability distributions, The binomial Distribution, Cumulative probabilities

Ch7: Hypothesis testing, Finding critical values, One-tailed tests, Two-tailed tests.

Ch8: Constructing a model, Quantities and units, working with vectors.

Ch9: Displacement time graphs, Velocity, time graphs, Constant Acceleration formulae, Motion under gravity

Ch 10: Force Diagram, Forces and acceleration, Motion in 2D, Connected particles, Pulleys.

Ch11: Function of time, using differentiation/max and Min problems, Using integration.

Summer Term

A2 Applied

 

1

Ch1: Regression Correlation and hypothesis testing

Ch2: Conditional probability

Ch3: The normal Distribution

Ch4: Moments

Ch5: Forces and friction

Ch6: Projectiles

Ch7: Applications of Forces

Ch8: Further Kinematics

Ch1: Exponential Models, Measuring correlation, Hypothesis testing

Ch2: Set Notation, Conditional probability, Venn diagrams, Tree Diagrams

Ch3: The Normal Distribution, The inverse Normal distribution function, The Standardised Normal distribution, Finding μ and σ, Approximating a Binomial distribution, Hypothesis testing with the normal distribution

Ch4: Moments, Equilibrium, Centres of Mass, tilting.

Ch5: Inclined planes, Friction

Ch6: Horizontal and vertical components, Projection at an angle, Projectile motion formulae.

Ch7: Static particles, modelling with statics, Friction and Statics, Dynamics and inclined planes, connected particles.

Ch8: Vectors and kinematics, Vectors and projectiles, Variable acceleration in one and two dimensions

2

Revision

A2 Pure

Ch1 Algebraic methods

Ch5 Radians

End of year Exam

Ch1: Proof by contradiction, Algebraic fractions, Partial fractions, Algebraic division

Ch5: Radian Measure, Arc Length, Area of Segments and sectors, Solving Trigonometric equations, Small angle approximations

Assessments:

Autumn Term

Topic

Type of Assessment

CAT 1

All content taught up to this point

Past paper questions

Spring Term

 

 

CAT 2

All content taught up to this point

Past paper questions

Summer Term

 

 

CAT 3

All content taught up to this point

Past paper questions

Main Resources:

Resource

Details 

Term 

Text books

EDEXCEL Mathematics for year 1 and AS
EDEXCEL Mathematics for year 2 and A level
(Hodder)

All

Recommended reading

Please see link on Maths home page

All

Recommended websites

http://www.mathsnetalevel.com/

http://nrich.maths.org/frontpage

All

Equipment

Pen, pencil, full geometry set and Casio scientific calculator

All

Enrichment opportunities:

Activity

Time

Maths Challengers Club

Friday lunchtime

Senior Maths Challenge

November

Senior House Maths Challenge

October

Senior Team Maths Challenge

November

Mentoring Year 10 students By invitation all year

 

Where Next