[quiz] [answer]Insert correct answer here [/answer] [wrong]Insert wrong answer here [/wrong] [wrong]Insert wrong answer here [explanation]Add additional information or an explanation for why it’s wrong here[/explanation] [/wrong] [/quiz]
]]>Autumn Term  Topic  
1 


2 


Revision for Year 11 Mock Exams  
Spring Term  
1 


2  Revision  
Summer Term  
1  Revision  
2  N/A 
Assessments:
Autumn Term  Topic  Type of Assessment 
CAT 1  Work listed above  Test 
CAT 2  Mock Exam GCSE Calc and NonCalc papers  Test 
Spring Term  
CAT 3  Work listed above  Test 
Summer Term  
CAT 4  N/A 
In addition to the above there is a weekly revision sheet reinforcing core skills.
Main Resources:
Resource  Details  Term 
Text books  Essential Maths higher GCSE 49  All 
Recommended reading  Please see link on Maths home page  
Recommended websites  http://www.cimt.plymouth.ac.uk/  All 
Equipment  Pen, Pencil, full geometry set and Casio scientific calculator  All 
Enrichment opportunities:
Activity  Day and time 
Maths Challengers Club  Friday lunchtime 
F1 Simulation  Wednesday Lunchtime 
Intermediate Maths Challenge  February 
Mentoring year 9 students  By invitation all year 
Relevant content from GCSE/KS3 is
Students who have only done GCSE are likely to struggle with indices, notation and formal manipulation.
All AS maths students will do C1 and C2 and one of S1, M1 and D1
For potential biology students, the strong recommendation is to choose the S1 option.
For potential physics or engineering students, the strong recommendation is to choose M1.
You could expect an AS student with statistics to have encountered
Note: they will not have met e, any other differentiation
For a full Alevel in maths students will have done C1C4 and two of S1, D1, M1, S2, D2, M2
Where there is a choice, potential biologists would be strongly recommended to choose S1 and S2. Physicists and engineers should choose M1 and M2.
Alevel maths candiates will know the graphs of e, ln, trig identities, trig differentiation, product, quotient and chain rule.
If they have taken S2 then they will also know some other distributions, know what a random variable is and know about hypothesis testing in simple contexts.
Specifically, the key module content (full Alevel in grey) is
Calculus  
C2  Diff / Int Axn 
C3  ddx(ln(Ax)) 
C3  Diff / int Aenx 
C3  Diff / int sin(ax) 
C3  Diff / int cos(ax) 
C3  Diff / int tan(ax) 
C3  ∫1ax+b 
C3  Product rule 
C3  Quotient rule 
C3  Function of a function rule’: dydx=dydududx 
Logarithms  
C2  If y=nxthen logn(y)=x 
C2  ln(a)+ln(b)=ln(ab)ln(a)−ln(b)=ln(ab) 
C2  ln(xp)=pln(x) 
C3  eln(a)=a 
C3  ln(y)=ln(a)×loga(y) 
Integral change of variable  
C2  Area enclosed by function, average value 
C2  tan(x)=sin(x)cos(x) 
C2  sin2(x)+cos2(x)=1 
C3  ∫y(x)dx=∫y(x(u))dxdudu 
C4  sec(x)=1cos(x) 
C4  cosec(x)=1sin(x) 
C4  cot(x)=1tan(x) 
Autumn Term  Topic  
1 


2 


1 


2 


1 


2 

Autumn Term  Topic  Further details about the topic 
1  Core Arithmetic Skills, Logic, Place Value and BODMAS, Graphs, Decimals and Rounding  Arithmetic assessment at the start of the year 
2  Angles, Multiplication and Division of Decimals, Number Patterns and Sequences, Area and Perimeter, Fractions and Data Collection and Presentation  
Spring Term  
1  Arithmetic Revision, Searching for Pattern, Time, Timetables and Mileage Charts, Negative Numbers, Linear Equations  
2  Decimals, Fractions and Percentages, Quantitative Data, Scale Drawing, Probability of One Event, Volume and Surface Area  
Summer Term  
1  Mathematical Diagrams, Factors  
2  Pythagoras Theorem, Rounding and Estimating 
Autumn Term  Topic  Further details about the topic 
1  Ratio and Proportion, Algebra: Brackets, Arithmetic: Fractions and Percentages  
2  Probability – Two Events, Angles, Bearings and Maps, Formulae, Money and Time  
Spring Term  
1  Straight Line Graphs , Polygons, Circles and Cylinders, Units of Measure  
2  Speed, Distance and Time, Similarity, Questionnaires and Analysis  
Summer Term  
1  
2  Indices and Standard Form, Linear Graphs and Equations, Probability, Transformations and Statistical diagrams 
Autumn Term  Topic  Further details about the topic 
1  Area, Perimeter and Volume, Sequences  
2  Algebraic Manipulation, Constructions and Loci, Graphs, Equations and Inequalities  
Spring Term  
1  Estimation and Approximation, Trigonometry, Cumulative Frequency, Quadratic Functions and Sampling  
2  Triangles & Polygons, Drawing and Using Quadratic Graphs, Distributions and Averages, Fractions and Accuracy  
Summer Term  
1  Non calculator arithmetic, fractions, estimation, converting fractions and decimals, percentages, reverse percentages, compound interest.  
2  Finding angles, parallel lines, polygons, angle proof, substitution, factorising, HCF, LCM, standard form, upper and lower bounds, truncation of numbers, linear equations, relative frequency, probability, expectation, listing outcomes. 
Autumn Term  Topic  Further details about the topic 
1 
Ch1: Problem solving
Ch2: Surds and indices
Ch3: Quadratic functions
Ch4: Equations and inequalities
Ch5: Coordinate geometry.

Ch1: Solving problems, writing mathematics, proof.
Ch2: Using and manipulating surds, working with indices
Ch3: Quadratic graphs and equations, the completed the square form, the quadratic formula
Ch4: Simultaneous equations, inequalities
Ch5: Working with coordinates, equation of a straight line, intersection of two straight lines, the circle, intersection of a line and a curve

2 
Ch6: Trigonometry
Ch7: Polynomials
Ch8: Graphs and Transformations
Ch9: The binomial expansion
Ch10: Differentiation

Ch6: Trigonometric functions, solving trigonometric equations using graphs, triangles without right angles, area of a triangle
Ch7: Polynomial expressions, dividing polynomials, polynomial equations
Ch8: The shapes of curves, transformation of graphs, including trigonometric.
Ch9: Binomial expansions, selections
Ch10: The gradient of the tangent as a limit, Differentiation using standard results, Tangents and normal, increasing and decreasing functions and turning points, sketching the graphs of gradient functions, higher order derivatives, practical problems, finding the gradient from first principles.

Spring Term  
1 
Ch11: Integration
Ch12: Vectors
Ch13: Exponentials and logarithms
Ch14: Data Collection
Ch15: Data processing presentation and interpretation.
Ch19 kinematics

Ch11: Integration as the reverse of differentiation, finding areas, areas below the xaxis, further integration
Ch12 working with vectors, vector geometry
Ch13: Exponential functions, logarithms, natural logarithms
Ch14: Using statistics to solve problems, sampling
Ch15: Presenting different types of data, ranked data, discrete data, continuous data, bivariate data, standard deviation
Ch19: The language of motion, speed and velocity, acceleration, distances and displacements, the constant acceleration formulae

2 
Ch16: Probability
Ch17: The binomial distribution
Ch18: Statistical hypothesis testing using the binomial distribution
Ch20: Forces and Newton’s laws of motion
Ch21: Variable acceleration

Ch16: Working with probability, problem solving
Ch17:Intorduicing and using the binomial distribution
Ch18: The principles and the language of hypothesis testing
Ch20: Force diagrams, Force and motion, types of forces, pulleys, applying Newton’s second law, connected objects
Ch21: Using differentiation and integration, problem solving.

Summer Term  A2 Topic  
1 
Ch1: Proof
Ch2: Trigonometry
Review of AS Algebra 1
Ch3: Sequences and series
Review of AS Algebra 2
Ch4: Functions
Ch5: Differentiation
Review Sine and Cosine Rules

Ch1: Problem solving, methods of proof
Ch2: Radians, circular measure, small angle approximations
Review of AS Algebra 1: Surds, indices, exponentials and logarithms
Ch3: Definitions and notation, Arithmetic and Geometric sequences and series
Review of AS Algebra 2: Equations, inequalities and polynomials
Ch4: The Language of functions, composite functions, modulus functions
Ch5: The shapes of curves, the chain rule, connected rates of change, the product rule and the quotient rules
Review Sine and Cosine Rules: Working with triangles

2 
Revision
Ch6: Trigonometric functions

End of year Exam
Ch6: Reciprocal trigonometric functions, working with trigonometric functions and identities (including radians)

Key topics to be taught this year:
Autumn Term  Topic  Further details about the topic 
1  Core 3: Exponentials and Logarithms, Differentiation, Numerical Methods  End of chapter summary homework will be set to assess progress 
2  Core 4: Partial Fractions, Binomial Expansion, Further Differentiation and Coordinate Geometry  End of chapter summary homework will be set to assess progress 
Statistics 1: Modelling in Probability and Statistics, Representation and Summary of Data and Probability  End of chapter summary homework will be set to assess progress  
Spring Term  
1  Core 4: Integration, Differential Equations  End of chapter summary homework will be set to assess progress 
Statistics 1: Correlation, Regression and Discrete Random Variables  End of chapter summary homework will be set to assess progress  
2  Core 4: Vectors
Revision Core 3 and 4 
End of chapter summary homework will be set to assess progress
Past paper practice 
Statistics 1: The normal distribution
Revision 
End of chapter summary homework will be set to assess progress
Past paper practice 

Summer Term  
1  Revision: Core 3 and Core 4  Past paper practice 
Revision: Statistics 1  Past paper practice 