12: The Quotient Rule © Christine Crisp “Teach A Level Maths” Vol. 2: A2 Core Modules.
AS & A2 Maths Scheme of Work 2014 2016 - mathsteachers · PDF file · 2015-06-25AS...
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