AS & A2 Maths Scheme of Work 2014 2016 - mathsteachers · PDF file · 2015-06-25AS...

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AS & A2 Maths Scheme of Work 2014 – 2016 Date Topic & page ref in Heinemann Live Text Notes Skills developed & Examples students should be able to answer the end of each section Homework Resources 1 st September 2014 Core 1: p1-14 Ch1. ALGEBRA & FUNCTIONS 1.1 Simplifying terms by collecting like terms 1.2 Rules of Indices 1.3 Expanding an expression 1.4 Factorising expressions 1.5 Factorising quadratic expressions 1.6 Rules of Indices for all R 1.7 Surds (p10) 1.8 Rationalising the denominator Teachers are free to use whatever resources they wish but must adhere to the timings of the SOW. It is suggested that in class use the LiveText CD ROM to go through examples. Students should learn the squares from 1 2 to 16 2 ; cube numbers from 1 3 to 6 3 which will help them solve fractional indices problems. Examples: Fractional Indices: if 81 ½ is 9 then 25 ½ is ….? Simplify a 5 a 3 ; m 4 m 2 ; (p 2 ) 5 ; (2xy 2 ) 3 ; solve 2 n =16; solve 3 2x-1 = 27 Simplify: Rationalise the denominator; ; ; Expand Factorise and solve : x 2 + 8x + 15 = 0; 2x 2 + 7x + 6 = 0 ; 4x 2 -1 = 0; And worth at this stage pointing out how to find the roots (or solutions) and the critical values which can be used to sketch a curve of the fn. Staff should try to explicitly differentiate homework to meet the needs of all learners. Heinemann C1 Live Text on CD to use in lessons to support explanations. Tarsias available: Manipulating Surds Standards Unit N11 Surds Standards Unit N12 using indices Solomon worksheets available as PDF. These can be used as homework to stretch all students. There are also TESTS that can be flashed in lessons on the IWB. September Core 1: p15 – 26 Ch2. QUDARATIC FUNCTIONS 2.1 plotting graphs of quadratic functions 2.2 solving quadratic equations by factorisation 2.3 competing the square 2.4 solving quadratic equations by competing the square 2.5 solving quadratic equations by using the formula 2.6 sketching graphs of quadratic functions Examples: Know and learn the quadratic formula: Solve by completing the square: x 2 + 8x + 15 = 0; 2x 2 – 12x + 7 = 0 By completing the square, find the minimum value of x 2 4x 9. Show that the line y = x 4 is a tangent to the circle with equation x 2 + y 2 = 8 Extension: Reproduce the proof of the Quadratic formula Solomon worksheets Standards Unit C1 Linking the properties & forms of Quadratic Functions September Core 1: p27 – 40 Ch3. EQUATIONS & INEQUALITIES 3.1 Simultaneous equations by Examples: Solve x 4y 7 and x + 2y = 16 by elimination and substitution What about: 3x + y = 10 and x 2 + 2xy + 2y 2 = 17 Solomon worksheets

Transcript of AS & A2 Maths Scheme of Work 2014 2016 - mathsteachers · PDF file · 2015-06-25AS...

AS & A2 Maths Scheme of Work 2014 – 2016

Date Topic & page ref in Heinemann

Live Text Notes Skills developed & Examples students should be able to answer the end

of each section Homework Resources

1st September 2014

Core 1: p1-14 Ch1. ALGEBRA & FUNCTIONS

1.1 Simplifying terms by collecting like terms 1.2 Rules of Indices 1.3 Expanding an expression 1.4 Factorising expressions 1.5 Factorising quadratic expressions 1.6 Rules of Indices for all R 1.7 Surds (p10) 1.8 Rationalising the denominator

Teachers are free to use whatever resources they wish but must adhere to the timings of the SOW. It is suggested that in class use the LiveText CD ROM to go through examples.

Students should learn the squares from 12 to 162; cube numbers from 13 to 63 which will

help them solve fractional indices problems.

Examples:

Fractional Indices: if 81½ is 9 then 25½ is ….?

Simplify a5 a3; m4 m2; (p2)5; (2xy2)3; solve 2n =16; solve 32x-1 = 27

Simplify:

Rationalise the denominator;

√ ; ;

√ √ √

Expand √√

Factorise and solve : x2 + 8x + 15 = 0; 2x2 + 7x + 6 = 0 ; 4x2 -1 = 0;

And worth at this stage pointing out how to find the roots (or solutions) and the critical

values which can be used to sketch a curve of the fn.

Staff should try to explicitly differentiate homework to meet the needs of all learners.

Heinemann C1 Live Text on

CD to use in lessons to

support explanations.

Tarsias available:

Manipulating Surds

Standards Unit N11 – Surds

Standards Unit N12 – using indices

Solomon worksheets available as PDF.

These can be used as

homework to stretch all students. There are also

TESTS that can be flashed in

lessons on the IWB.

September

Core 1: p15 – 26 Ch2. QUDARATIC FUNCTIONS 2.1 plotting graphs of quadratic functions 2.2 solving quadratic equations by factorisation 2.3 competing the square 2.4 solving quadratic equations by competing the square 2.5 solving quadratic equations by using the formula 2.6 sketching graphs of quadratic functions

Examples:

Know and learn the quadratic formula: √

Solve by completing the square: x2 + 8x + 15 = 0; 2x2 – 12x + 7 = 0

By completing the square, find the minimum value of x2 4x 9.

Show that the line y = x – 4 is a tangent to the circle with equation x2 + y2 = 8

Extension:

Reproduce the proof of the Quadratic formula √

Solomon worksheets

Standards Unit C1 – Linking

the properties & forms of Quadratic Functions

September Core 1: p27 – 40 Ch3. EQUATIONS & INEQUALITIES 3.1 Simultaneous equations by

Examples:

Solve x 4y 7 and x + 2y = 16 by elimination and substitution

What about: 3x + y = 10 and x2 + 2xy + 2y2 = 17

Solomon worksheets

elimination 3.2 Simultaneous equations by substitution 3.3 Simultaneous equations with 1 linear & 1 quadratic 3.4 solving linear inequalities 3.5 solving quadratic inequalities

Solve for x: (a) 5x 2 x 16 (b) x2 25

Solve and sketch x2 + 8x + 15 0; x2 - 10x + 21 0

September Core 1: p41 – 68 Ch4. SKETCHING CURVES 4.1 sketching graphs of cubic functions 4.2 interpreting graphs of cubic functions 4.3 sketching the reciprocal function 4.4 using intersections points of graphs to solve equations 4.5 The effect of f(x+a), f(x-a) and f(x) + a 4.6 The effect of af(x), -f(x) and f(-x) 4.7 performing transformations on the sketches of curves

Examples:

Know the graphs of: y = x; y = x2; y = x3; y =

y = 2x;

Understand and sketch transformations of any given graph, inc. f(x+a), f(x-a), f(ax), af(x),

-f(x) and f(-x) say, for f(x) = x2

Extension Questions:

Solomon worksheets

October Core 1: p73 – 90 Ch5. COORDINATE GEOMETRY IN THE (x, y) PLANE 5.1 The equation of a straight line 5.2 The gradient of the straight line 5.3 y – y1 = m(x – x1) 5.4 the formula for finding the equation of a straight line 5.5 Parallel and perpendicular lines

To know that: The equation of a straight line can be written as y = mx + c, where m is the gradient and c is the intercept with the vertical axis. Lines are parallel if they have the same gradient.

Two lines are perpendicular if the product of their gradients is -1.

If the gradient of a line is m, then the gradient of a perpendicular line is 1

m

The gradient of a line passing through the points

2 11 1 2 2

2 1

, and , is y y

x y x yx x

.

The equation of the straight line with gradient m that passes through the point 1 1,x y is

1 1( )y y m x x .

The distance between the points with coordinates

2 2

1 1 2 2 2 1 2 1, and , is x y x y x x y y .

The midpoint of the line joining the points

1 2 1 21 1 2 2, and , is ,

2 2

x x y yx y x y

.

Example: Find the equation of the perpendicular bisector of the line joining the points

Solomon worksheets

Condensed 1 page notes

available with questions for

coordinate Geometry

(3, 2) and (5, -6).

Example: Find the point of intersection of the lines:

2x + y = 3

and y = 3x – 1.

Extension Question:

October Core 1: p91 – 111 Ch6. ARITHMETIC SEQUNECES 6.1 Introduction to Sequences 6.2 the nth term 6.3 recurrence relationships 6.4 Arithmetic sequences 6.5 Arithmetic series 6.6. the sum to n of an arithmetic series 6.7 The ∑ sigma notation

Students usu. struggle with the notion of Un – better to start with simple sequences and explain how to find the nth term (like at KS3)

Formula for the nth term and the sum of a series will be given

If numbers ascend in 3’s, that’s the 3 x table = 3n.

Then find the number before the 1st term (=5), so, nth term is 3n+5

nth term in sequence 8, 11, 14, 17, ..., ..., ...

Solomon worksheets

Standards Unit N13 – Analysing sequences

October Core 1: p112 – 132 Ch7. DIFFERENTIATION 7.1 derivative of f(x)

7.2 gradient of 7.3 gradients of simple functions 7.4 gradients of functions with power

7.5. re-writing expressions to make them easier to differentiate

7.6

7.7 Rate of change of a function at a point 7.8 Equations of Tangents and Normals

Find

:

y = 4 22 5x x ; y = 27 12 5x x ; y = 6 41

5 92

x x ; y =1

22 2x x

NB: A turning point occurs where the gradient is zero, i.e. where

0.

And you can also use the 2nd derivative to decide whether a turning point is a maximum

or a minimum:

If 2

2

2

2

0 then it is a minimum

d y0 then it is a maximum.

dx

d y

dx

;

Equation of a tangent

tells you the gradient of a curve.

The gradient m of a tangent line at the point 1 1,x y can be found from

.

The equation of the tangent is then )( 11 xxmyy .

Perpendicular lines

Solomon worksheets

Standards Unit C2 –

exploring functions involving

fractional and negative powers of x

Standards Unit C3 – matching functions &

derivatives

Standards Unit C4 –

differentiating & Integrating

fractional and negative powers of x

Standards Unit C5 – Finding stationary points of cubic

functions

Suppose 2 lines have gradients 1 2&m m . These lines are perpendicular if

1 2 1m m ,

i.e. 2

1

1m

m

.

Equation of a normal

To find the equation of a normal at the point 1 1,x y :

Find the gradient from

then find the gradient m of the normal using 1

mdy

dx

and the equation of the normal is 1 1( )y y m x x

Example:

Find the equation of the normal to the graph y = x(x + 1) (x – 2) at x = -1.

October OCTOBER HALF TERM

October Core 1: p133 – 142 Ch8. INTEGRATION

8.1 Integrating 8.2 Integrating simple expressions

8.3 using the ∫ 8.4 Simplifying before integrating 8.5 Finding ‘c’

Rule: Increase the power by 1 and divide by the new power. Integration is the reverse of differentiation.

Example:

Find y if 2 6 2dy

x xdx

and y = 4 when x = 3 (answer:3

23 2 163

xy x x

)

Questions:

1. 2(3 4 2)v x x dx .

If v = 3 when x = 0, find v as a function of x. Hence calculate the value of v when x = 1.

Solomon worksheets

Standards Unit C4 –

differentiating & Integrating

fractional and negative powers of x

November/December

START CORE 2

3rd November

Core 2: p1 – 17 Ch1. ALGEBRA & FUNCTIONS 1.1 Simplifying algebraic fractions 1.2 Dividing a polynomial 1.3 factorising a polynomial 1.4 Using the remainder theorem

6 hour teacher on their own teaching C2 – 4 hour teacher start the Applied module

Factor Theorem: (x – a) is a factor of a polynomial f(x) if f(a) = 0.

Remainder Theorem: The remainder when a polynomial f(x) is divided by (x – a) is f(a).

Extended version of the factor theorem:

(ax + b) is a factor of a polynomial f(x) if 0

bf

a

1. g(x) = 3 23 13 15x x x .

(a) Show that g(-5) = 0 and g(3) = 0. (b) Hence factorise g(x). (c) Sketch the graph of y = g(x). (d) Write down the full set of values of x for which g(x) > 0.

Extenstion Question:

Heinemann C2 Live Text on

CD to use in lessons to

support explanations.

Solomon worksheets

available

Tarsias available

Condensed 1 page notes

available with questions for

factor theorem

Standards Unit A11 –

factorising cubics

December Core 2: p18 – 37 Ch2: THE SINE & COSINE RULE 2.1 Sine rule for missing sides 2.2 Sine rule for unknown angles 2.3 Solutions for a missing angles 2.4 Cosine rule to find unknown sides 2.5 Cosine rule to find missing angles 2.6 Sine, Cosine & Pythagoras 2.7 Area of a triangle

Know the 3 trig ratios using: SOH CAH TOA Only the cosine rule formula will be provided in the formula book.

Know the Area of a triangle is A = 1sin

2ab C

Know sintan

cos

xx

x

and 2 2sin cos 1x x

Solomon worksheets

available

Core 2: p38 – 50 Ch3: EXPONENTIALS & LOGARITHMS 3.1 The function y = ax 3.2 writing expressions as a logarithm 3.3 calculating using log to base 10 3.4 Laws of Logs 3.5 solving ax = b 3.6 changing the base

Extension questions:

Solomon worksheets

available

Standards Unit A13 –

simplifying Log

expressions

December CHRISTMAS HOLIDAYS Revise for the C1 MOCK Exam in January

Look into 1-Day revision sessions at UCL/Imperial College

January 2015 C1 MOCK Exam (internal) C1 Solomon Paper ?? Solomon Paper – TBC at dept. meeting closer to the time This will take place during lesson time. Y12 will have a Mock week later in the year.

January Core 2: p51 – 72 Ch4. COORDINATE GEOMETRY IN THE (x, y) PLANE 4.1 The mid-point of a line 4.2 Distance between two points 4.3 The equations of a circle

The equation of a circle centre (a, b) with radius r is 2 2 2( ) ( )x a y b r .

Example: Find the centre and the radius of the circle with equation 2 22 6 6 0x x y x

Extension Question:

Solomon worksheets

available

January Core 2: p76 – 86 Ch5. THE BINOMIAL EXPANSION 5.1 Pascal’s Triangle 5.2 Combinations and Factorial Notation

5.3 Using ( ) in the binomial

expansion

5.4 Expanding ( )

∑ ( )

Note that in C2 n

e.g. 1: Find the expansion of 4

3x y .

e.g. 2: Find the first 4 terms in the expansion 10

2 3a b .

e.g. 3: Find the coefficient of 4 4x y in the expansion of 8

13

2x y

E.g. Find the non-zero value of b if the coefficient of 2x in the expansion of

62b x

is equal to the coefficient of 5x in the expansion of

82 bx .

Condensed 1 page notes

available with questions for

Binomial theorem

Solomon worksheets

available

January/

February

Core 2: p87 – 101 Ch6: RADIAN MEASURE 6.1 Using radians to measure angles 6.2 The length of an arc 6.3 The area of a sector 6.4 The area of a segment

Know that 360o = 2π radians

Why are there 360o in a circle?

What is 1 radian?

Convert

rads into degrees

Convert 150o into radians

Prove the length of an arc is l = rθ

Show that the area of a sector is A =

Show that the area of a segment in a circle is A =

( )

Solomon worksheets

available

February Core 2: p102 – 118 Ch7: GEOMETRIC SEQUENCES & SERIES 7.1 Geometric sequences 7.2 geometric progression & the nth term 7.3 Using a G.P to solve problems 7.4 Sum of a G.P 7.5 Sum to infinity of a geometric series

If 3, x and 9 are the first three terms of a geometric sequence, find x and the value of the 4th

term. What is the first term in the GP 3, 6, 12, 24 … to exceed 1 million?

Show that the general term for the sum of a GP is ( )

( ) or

( )

( )

Show that the sum to infinity of a GP is

Find ∑ ( )

Solomon worksheets

available

Standards Unit N13 –

Analysing sequences

February FEBRUARY HALF TERM

February/

March

Core 2: p119 – 137 Ch8. GRAPHS OF TRIGONOMETRICAL FUNCTIONS 8.1 Sin, Cos & Tan functions 8.2 Values of trig functions in all 4 quadrants 8.3 Exact values & surds for trig functions 8.4 Graphs of Sin θ, Cos θ & Tan θ 8.5 simple transformations of Sin θ, Cos θ & Tan θ

Standards Unit A12 –

matching activities &

probing questions – available

as PDF – ask me or someone

for it

Solomon worksheets

available

March Core 2: p141 – 153 Ch9. DIFFERENTIATION 9.1 Increasing & decreasing functions 9.2 Stationary points 9.3 Using turning points to solve problems

Students need to be able to confidently find areas, surface areas & volumes of various 2D & 3D shapes inc. circles & arcs

Condensed 1 page notes

available with questions

Standards Unit C2 –

Solomon worksheets

available

March Core 2: p154 – 170 Ch10. TRIGONOMETRICAL IDENTTIS AND SIMPLE EQUATIONS 10.1 Simple Trigonometric identities 10.2 Solving simple Trig equations

Know and use ;

Sketch the graphs of: and show coordinates of intersection with the axes

Solomon worksheets

available

March

Year 12 MOCK week C1 MOCK exam (Hall)

We will assess C2 during April along with mocks for the Applied modules (D1, M1 and

S1) which will take place during lesson time.

March/April EASTER HOLIDAYS Students to continue with their revision into the Easter Holidays

April Core 2: p154 – 170 continued… Ch10. TRIGONOMETRICAL IDENTITIES AND SIMPLE EQUATIONS 10.3 Solving Equations of the form: Sin (nθ + a), Cos(nθ + a) & Tan(nθ + a) 10.4 Solving quadratic Trigonometrical equations

Example:

(a) Solve the equation sin x˚ = ⅓ in the interval 0 ≤ x ≤ 540 (b) The height of the water above mean tide level in a harbour t hours after midnight is h metres, given by the equation 1.8sin(30 90)h t .

Use your answers to part (i) to find three times on the same day when the water is 0.6m

above mean tide level.

Extension Questions:

Condensed 1 page notes

available with questions

Solomon worksheets

available

April Core 2: p171 – 192 Ch11. INTEGRATION 2 11.1 Simple Definite integration 11.2 Area under a curve 11.3 Area under a curve that gives negative values 11.4 Area between a line & a curve 11.5 The trapezium rule

Definite Integration Example:

Find: 4

1(2 1)( 2)dx x x

.

Evaluate: ,

02

2

1

1 dx x

,

7

3

11 ( 2)( 5)x x x dx

.

Finding areas

Integration can be used to find the area underneath a curve.

Example 1: Find the area beneath the curve 23 5y x between the lines x = 2 and x =

4.

Tarsias available:

Solomon worksheets

available

3

1)1( dxx

x-1 1 2 3 4 5

y

10

20

30

40

50

NB: Areas beneath the x-axis are negative. You need to calculate areas above and below the axes

separately.

Example 2: The diagram shows the curve y = x(x – 3). Find the shaded area (answer:

5 1 16 2 3

1 4 6 )

x-1 1 2 3 4 5

y

-2

2

4

6

8

10

To find the area between 2 curves you can use the formula:

Area= (top curve - bottom curve)dx

Extension Questions:

C1 & C2 Deadline Week

Core 1 & Core 2 REVISION & CATCH-UP WEEK

Teachers to aim to complete all teaching by this week to allow time for past paper

practice, revision & last minute intervention.

Comprehensive notes are available for C2 from the 1-day revision day at UCL

C2 & M1 Notes from May

2013 Lectures at UCL on

Fronter

April C1 & C2 MOCK EXAMS Teachers to conduct these during lesson time or do a ‘HOME-Mock’ to save lesson

time. Papers to use will be discussed nearer the time. The papers will be printed for

you.

May REVISION & INTERVENTION PAST PAPERS

Year 12 study leave starts May

Students should do about 15-20 past papers for every modules they will be sitting in

the summer – this could be a combination of ‘actual’ and Solomon papers

26th May – 30th May

MAY HALF TERM

May/June EXTERNAL ‘AS’ EXAMS Exams for C1, C2, S1 & M1

Jun 2015 START OF THE NEW TIMETABLE_ START C3 SOW

June Core 3: p1 – 11 Ch1. ALGEBRAIC FRACTIONS

1.1 Simplify algebraic fractions by

NB: Both 4hr &6hr teachers to teach C3 until October Half-term

Solomon worksheets

available

cancelling common factors

1.2 Multiply and divide algebraic

fractions.

1.3 Add and subtract algebraic

fractions

1.4 Dividing algebraic factions and

the remainder theorem.

Core 3: p12 – 30 Ch2. FUNCTIONS

1.1 Mapping diagrams and

graphs of operations.

1.2 Functions & Function

notation

1.3 Range, Mapping diagrams,

graphs & definitions of

functions

1.4 Using composite functions

1.5 Finding &using inverse

functions

Solomon worksheets

available

July Core 3: p31 – 44

Ch3. THE EXPONENTIAL & LOG

FUNCTIONS

3.1 Introducing exponential

functions of the form y = ax

3.2 Graphs of exponential functions

and modelling using y = ax

3.3 Using ex and the inverse of the

exponential function logex

Sketch the functions ax, a > 0, ex, lnx and and their graphs.

IV has matching

activities/tarsias & extension

problems

Solomon worksheets

available

23rd July – 1st Sept 2014

SUMMER HOLIDAYS

1st Sept 2014 C3: Review Chapters 1-3 ( week)

Sept 2014

C3: p45 – 57 Ch4 NUMERICAL METHODS 4.1 finding approximate roots of f(x) = 0 graphically 4.2 using iterative & algebraic methods to find approximate roots of f(x) = 0

Before you teach Ch5

familiarise yourself with

Autograph - speak with

BMM on how to use this

software

Solomon worksheets

available

September C3: p63 – 82 Ch5 TRANSFORMING GRAPHS OF FUNCTIONS 5.1 Sketching graphs of the modulus

function | ( )| 5.2 Sketching graphs of the function

(| |) 5.3 solving equations involving a modulus 5.4 applying a combinations of transformations to sketch curves 5.5 sketching transformations & labelling the coordinates of a given point

Autograph

Solomon worksheets

available

Standards Unit A12

October 2014

C3: p83 – 105 Ch6 TRIGONOMETRY 6.1 The functions secant θ, cosecant θ and cotangent θ 6.2 The graphs of secant θ, cosecant θ and cotangent θ 6.3 simplifying expressions, proving identities & solving equations using sec θ, cosec θ and cot θ 6.4 using identities 6.5 using inverse trigonometrical functions and their graphs

Solomon worksheets

available

October 2014 C3: p106 –131 Ch7 FURTHER TRIGONOMETRIC IDENTITIES & THEIR APPLICATIONS 7.1 using additional trigonometrical formulae 7.2 using double angle trigonometrical formulae 7.3 solving equations and proving identities using double angle formulae

7.4 using the form in solving trigonometrical problems 7.5 the factor formulae

Solomon worksheets

available

October 2014 OCTOBER HALF TERM

November 2014

Core3: p132 – 151 Ch8 DIFFERENTIATION 8.1 Differentiating using the chain rule 8.2 Differentiating using the product rule 8.3 Differentiating using the quotient rule 8.4 Differentiating the exponential function 8.5 finding the differential of the logarithmic function 8.6 Differentiating sin x 8.7 Differentiating cos x 8.8 Differentiating tan x 8.9 Differentiating further trigonometric functions 8.10 Differentiating functions formed by combining trigonometrical, exponential, logarithmic &

C3 PAST PAPER

BOOKLETS

DISTRIBUTED for students to revise from

over the Christmas break

– papers including full solutions – we will use

Solomon Papers A-L

Solomon worksheets

available

polynomial functions

December 2014

START TEACHING CORE 4 Must start C4 before Christmas to allow you time for revision & past papers of C3 & C4 in April

& May

December 2014

Core 4: p1 – 9 Ch1. PARTIAL FRACTIONS 1.1 Adding & subtracting algebraic

fractions 1.2 Partial fractions with two linear

factors in the denominator 1.3 Partial fractions with three or

more linear factors in the denominator

1.4 Partial fractions with repeated linear factors in the denominator

1.5 Improper fractions into partial fractions

Solomon worksheets

available

December 2014

CHRISTMAS HOLIDAYS

January 2015 Core 4: p10 – 22 Ch2. COORDINATE GEOMETRY IN THE (x, y) PLANE

1.6 Parametric equations used to define the coordinates of a point

1.7 Using parametric equations in coordinate geometry

1.8 Converting parametric equations into Cartesian equations

1.9 Finding the area under a curve given by parametric equations

Solomon worksheets

available

Standards Unit A14 –

Exploring equations in

parametric form

Core 4: p23 – 35 Ch3. THE BINOMIAL EXPANSION 3.1 The binomial expansion for a positive integral index 3.2 using the binomial expansion to

expand ( )2

3.3 using Partial fractions with the binomial expansion

Solomon worksheets

available

January 2015 Core 4: p36 – 50 Ch4. DIFFERENTIATION 4.1 Differentiating functions given parametrically 4.2 Differentiating relations which are implicit

4.3 Differentiating the function 4.4 Differentiating rates of change 4.5 Simple differential equations

Solomon worksheets

available

February 2015

FEBRUARY HALF TERM

February Core 4: p51 – 86 Ch5. VECTORS 5.1 Vector Definitions and Vector Diagrams 5.2 Vector arithmetic and the unit vector 5.3 using vectors to describe points in 2 or 3 dimensions 5.4 Cartesian components of a vector in 2D 5.5 Cartesian components of a vector in 3D 5.6 Extending 2D vector results to 3D 5.7 The scalar product 5.8 The vector equation of a straight line 5.9 Intersecting straight line vectors equations 5.10 The angle between two straight lines

Solomon worksheets

available

March/April Core 4: p87 – 128 Ch6. INTEGRATION 6.1 Integrating standard functions 6.2 Integrating using the reverse chain rule 6.3 using trigonometric identities in integration 6.4 using partial fractions to integrate expressions 6.5 using standard patterns to integrate expressions 6.6 Integration by substitution

C4 PAST PAPER BOOKLETS DISTRIBUTED for students to revise from over the half-term

break – papers including full solutions – use Edexcel

Solomon worksheets

available

6.7 Integration by parts 6.8 Numerical integration 6.9 Integration to find areas and volumes 6.10 using integration to solve differential equations 6.11 Differential equations in context

Mid April 2015

Core 4: REVISION

EASTER HOLIDAYS

April 2015 C3, C4 + APPLIED MODULES REVISION

PAST PAPERS PAST PAPER BOOKLETS

April 2015 C3, C4 + APPLIED MODULES REVISION

PAST PAPERS PAST PAPER BOOKLETS

NOTES FOR THE TEACHER

DEADLINE

AS Teachers must aim to complete teaching by end of March 2015 to leave sufficient time for exam prep & past paper revision

A2 Teachers must aim to complete teaching by mid-April 2015 to leave sufficient time for exam prep & past paper revision

MAIN RESOURCE Teachers will use the LiveText for all modules. Students will buy these themselves and bring to each lesson.

Additional resources are available from MEP, click HERE

HOMEWORK

A variety of tasks can be set ranging from short Q&A to extended pieces of investigation work. When you set homework – you MUST mark it and record it. You should also ask students to make

summary notes of each chapter as independent study. Fronter has been loaded with a wealth of homework practice which students should be directed to by you.

Students are expected to spend as much time outside lessons as in them i.e. about 5 hours on maths outside lessons each week. Most of this time will be spent on homework set by the teacher.

= I am confident with what I am doing (able) – set Mixed exercise/Review exam style questions

= I am ok with this – but could do with a little more practice (so-so) – set questions from normal exercises focussing on end of exercise questions

= I am struggling with this topic/subject (weak) – set usual exercises for extra practice (Ex 1A, 1B etc.)

FMSP REVISION COURSES

Payment to be collected before the publication of revision dates. Places to be allocated on a first come first served basis. Deposits to be collected by front office and must NOT be handled by

the Maths department.

G&T PROVISION

Pure ‘Investigations’ and Pure ‘what if & why’ problems available for the most able from The Centre for Teaching Maths (Plymouth University) covering C1-C4

RULES FOR CLOSING THE GAP:

Know your students; Plan effectively; Enthuse & Inspire; Engage & Guide; Feedback appropriately & Evaluate together.

ASSESSMENT:

What about short tests in class?

Teachers should simply get students to do questions straight from the book to avoid printing costs – maybe do a couple of carefully chosen questions each month to assess student retention of

prior learning – or maybe flash a select few questions on the IWB

Alternatively, the Integral website from FMSP has lots of ‘End of chapter’ assessments – speak to Mr Mani about these