Change of blog address

For Year 13 the blog has moved....

http://www.wellingmaths13.blogspot.com

M1 Moments 12/07/10

• Introduce moments as a turning effect
• Define a moment as a force x perpendicular distance
• Combine moments to find an overall moment about a pivot
• Define equilibrium as moments sum to zero and resultant force zero
• Setting up and solving problems involving moments

http://www.scribd.com/doc/34213745/M1-Moments-120710

M1 Friction and slopes 07/07/10

• Problem on a smooth inclined plane
• Resolving forces parallel and perpendiclar to an inclined plane
• Friction, limiting equilibrium and coefficient of friction
• Finding the coefficient of friction - horizontal plane
• Finding the coefficient of friction - inclined plane

http://www.scribd.com/doc/33999148/M1-Friction-and-Slopes-070710

M1 Types of forces 05/07/10

• Reminder of problem involvig particle in equilibrium
• Defining types of forces - weight, normal reaction, tension, thrust, friction
• Setting up problems - creating diagrams of forces
• Resolving to horizontal and vertical components
• Equating to find unknowns

http://www.scribd.com/doc/33914555/M1-Types-of-Forces-050710

M1 Resolving forces 30/06/10

• Resultant of a horizontal and vertical force
• Resolving a force into components
• Resultant of two or more forces
• Using vectors with forces
• Equilibrium of forces

http://www.scribd.com/doc/33732086/M1-Resolving-Forces-300610

M1 Motion in a vertical plane 28/06/10

• Recap motion in a horiztonal plane
• Modelling motion in a vertical plane
• Gravity as constant acceleration
• Problems involving motion in a vertical plane

http://www.scribd.com/doc/33655933/M1-Vertical-Plane-280610

M1 Equations of motion - horizontal plane 23/06/10

• Discovering and defining equations of motion
• Using equations of motion in the horizontal plane

http://www.scribd.com/doc/33443864/M1-Equations-of-Motion-Horizontal-230610

M1 Applications of vectors 21/06/10

• The i and j components of any vector
• Unit vectors
• Displacement vectors
• Position vectors
• Velocity vectors
• Acceleration vectors
• Problems applying vectors

http://www.scribd.com/doc/33354066/M1-Applications-of-Vectors-210610

M1 i and j vectors 17/06/10

• Combining vectors
• Defining vectors in i-j form
• Defining the zero vectors
• Adding and subtracting vectors in i-j form
• Multiplying a vectors in i-j form by a constant
• Parallel vectors in i-j form
• Size of/magnitude of/modulus of a vectors in i-j form
• Direction of a vector in i-j form (angle with positive x-axis)

http://www.scribd.com/doc/33173857/M1-i-and-j-vectors-170610

M1 Introduction to vectors 16/06/10

• Using bearings - including co-interior angles
• Bearings problems - using cosine rule and sine rule including ambiguous case for sine rule
• Using vectors - combining vectors - vectors defined by ratios, fractions, multiples of others

http://www.scribd.com/doc/33112733/M1-Vectors-Intro-160610

Core2Revision June 2009 paper 07/06/10

• Going through June 2009 Core 2 (Edexcel) paper from questions 1 to 7

http://www.scribd.com/doc/32641860/core2revision-june2009-qu1to7-070610

Core2Revision January 2010 paper 01/06/10

• Going through Edexcel Core 2 January 2010 paper (not quite in question order)

http://www.scribd.com/doc/32319258/core2revision-jan2010-010610

Core1Revision June 2009 Paper 20/05/10

• Going through Edexcel Core 1 June 2009 paper

http://www.scribd.com/doc/31672137/Core-Revision-June-2009-Paper-200510

Core1Revision Jan. 2007 paper 19/05/10

• Going through Edexcel Core 1 January 2007 paper

http://www.scribd.com/doc/31595964/Core-Revision-Jan-2007-Paper-190510

Core1Revision May 2007 paper 17/05/10

• Going through whole Edexcel Core 1 May 2007 paper

http://www.scribd.com/doc/31480772/Core-Revision-May-2007-Paper-170510

next lessons...

lesson 1 Wed 19th May - Jan 2007 Core 1 paper

lesson 5 Thurs 20th May - May 2009 Core 1 paper

Core1Revision January 2008 C1 paper 13/05/10

• Working through every questions of Edexcel Core 1 January 2008

http://www.scribd.com/doc/31465393/Core-Revision-Jan-2008-Paper-130510

Core1Revision Differentiation 10/05/10

• Simple differentiation
• Problems involving tangents etc.

http://www.scribd.com/doc/31142076/Core-Revision-Differentiation-100510

Core1&2Revision Sequences and series 06/05/10

• Arithmetic series
• Sequences with recurrence relation formula
• Geometric series
• Extra question looking at graph sketching and intersection of curves

http://www.scribd.com/doc/31017321/Core-and-Revision-Sequences-and-Series-060510

Core1Revision Sketch and transform graphs 05/05/10

• Sketch graphs of cubic and reciprocal functions
• Transform graphs

http://www.scribd.com/doc/30924887/Core-Revision-Sketch-and-Transform-Graphs-050510

Core1Revision Inequalities 29/04/10

• Solving linear inequalities
• Solving quadratic inequalities - using graph sketching
• Linking to exam questions following on from use of discriminant to create inequality

http://www.scribd.com/doc/30734233/Core-Revision-Inequalities-290410

Core2Revision Remainder and factor theorems 28/04/10

• Revision of Core 2 remainder and factor theorems

http://www.scribd.com/doc/30632546/Core-Revision-Remainder-and-Factor-Theorems-280410

Core1Revision Roots of equations and factorising 26/04/10

• Roots of equations using discriminant
• Factorising cubic expressions

http://www.scribd.com/doc/30512213/Core-Revision-Roots-of-Equations-and-Factor-is-Ing-260410

Core1Revision Some indices and straight lines 22/04/10

• Short revision session looking at a little indices and a couple of questions involving straight lines (equations and lengths)

http://www.scribd.com/doc/30378937/Core-Revision-Some-Indices-and-Straight-Lines-220410

Core1Revision Simultaneous equations 22/04/10

• Some Edexcel Core1 past exam papers questions on simultaneous equations - including one requiring the use of completing the square (or quadratic formula)

http://www.scribd.com/doc/30378875/Core-Revision-Simultaneous-Equations-220410

Core1Revision Surds and indices 19/04/10

• Some past exam questions (Edexcel Core1) testing surds and indices

http://www.scribd.com/doc/30172029/Core1-Revision-Surds-and-Indices-190410

Core2 Logs 19/04/10

Covering lesson for GTE

• Revising and extending basic log rules including changing base

http://www.scribd.com/doc/30171919/12B-logs-190410

Revision lessons April & May 2010

Revision schedule for lessons from Monday 19th April to Thursday 20th May
http://www.scribd.com/doc/29647577/Revision-Schedule

For the lessons in the above schedule, this document lists the questions from past Edexcel Core 1 and Core 2 papers which will be relevant to each lessons
http://www.scribd.com/doc/29647664/Revision-Lessons-Relevant-Exam-Questions

Core Revision - Video links

Links below to some videos of revision sessions by the Further Mathematics Support Programme covering topics from Core 1 and 2 modules.

Algebra
http://bit.ly/ASAlgebra

Curve sketching
http://bit.ly/ASCurveSketch

Coordinate geometry
http://bit.ly/ASCoordGeom

Polynomials
http://bit.ly/ASPolynomials

Logarithms and indices
http://bit.ly/ASLogIndices

Sequences and series
http://bit.ly/C2Sequences

Trigonometry
http://bit.ly/ASTrigonometry

Integration
http://bit.ly/ASTrigonometry

Core2 Geometric series exam questions 01/04/10

• Some Edexcel Core2 past exam questions involving geometric series

Worksheet

http://www.scribd.com/doc/29279669/12B-Geometric-Series-Exam-Questions-010410

Flipchart

http://www.scribd.com/doc/29279564/Core2-Geometric-Seris-Exam-Questions-010410

Core2 Infinite geometric series 31/03/10

• Recap of geometric series including sums of
• Proof of rule for sums of infinite geometric series
• Using infinite geometric series

http://www.scribd.com/doc/29217787/Core2-Infinite-Geometric-Series-310310

Core2 Geometric series 29/03/10

• Reminder of arithmetic series
• Describing geometric sequences
• Introducing geometric series
• Proof of formula for sum of geometric series

http://www.scribd.com/doc/29089848/Core2-Geometric-Series-290310

Core2 Trapezium rule exam questions 25/03/10

• Edexcel Core2 past exam paper questions testing use of the trapezium rule

http://www.scribd.com/doc/28912178/Core2-Trapezium-Rule-Exam-Questions-250310

Core2 Trapezium rule 24/03/10

• Trapezium rule proof
• Begin to use trapezium rule

http://www.scribd.com/doc/28848577/Core2-Trapezium-Rule-240310

Core1Revision Using calculus 18/03/10

• Past exam questions - Edexcel Core 1
• Using differentiation and integration in different ways

http://www.scribd.com/doc/28761180/Core-Revision-Using-Calculus-180310

Core2 Even more areas 18/03/10

• Area between straight line and a curve
• Breaking areas down into parts

http://www.scribd.com/doc/28761067/Even-More-Areas-180310

Core2 More areas 17/03/10

• Area under a curve
• Area between two curves

http://www.scribd.com/doc/28760950/More-Areas-170310

Core2 Area under a curve 15/03/10

• Integration revision
• Plotting a curve, counting squares to find an area
• Area under a curve proof
• Indefinite / definite integrals
• Positive / negative areas above / below x-axis

http://www.scribd.com/doc/28389841/Core2-Area-Under-a-Curve-150310

Core1Revision Transforming graphs 11/03/10

• Some past Edexcel Core1 questions
• Identifying transformations
• Sketching curves by identifying key points

http://www.scribd.com/doc/28208715/Core-Revision-Transforming-Graphs-110310

Core2 More trigonometry 11/03/10

• Area of triangle
• Sine rule
• Cosine rule
• Problems involving those rules
• Two solutions using sine rule
• More abstract problems

http://www.scribd.com/doc/28207779/Core2-More-Trigonometry-110310

Core2 Arcs, sectors and triangles 08/03/10

• Arc length and sector area given radius and angle in degrees
• Arc length with angle in radians
• Sector area with angle in radians
• Area of a triangle (including proof)
• Area of triangle in a circle (two sides are radii)
• Area between chord and circumference
• Lesson includes reminders of using special triangles to find values of sin

http://www.scribd.com/doc/28017360/Core2-Arcs-Sectors-Triangles-080310

Core1Revision Sequences and series 04/03/10

• Two past Edexcel Core 1 exam questions
• Sequence defined by recurrence relation
• Arithmetic sequence and series

http://www.scribd.com/doc/27828913/Core-Revision-Sequences-and-Series-040310

Core2 More trigonometric equations 04/03/10

• Solving trigonometric equations
• Rearranging to single trigonometric functions
• Including using trigonometric identities
• Then finding angle for that function

http://www.scribd.com/doc/27828727/Core2-More-Trigonometric-Equations-040310

Core2 Solving trigonometric equations 03/03/10

• Finding angles for given values of trigonometric ratios - using special triangles
• Solving trigonometric equations

http://www.scribd.com/doc/27758673/Core-2-Solving-Trigonometric-Equations-030310

Core2 Special triangles and identities 01/03/10

• Finding exact values for sin, cos and tan of 30,45,60 degrees
• Reminders of values of sin, cos and tan of 0 and 90 degrees
• Reminders of radian equivalents of those angles
• Proof of sin squared + cos squared = 1
• Proof of sin divided by cos = tan
• One example of using those identities

http://www.scribd.com/doc/27754453/Core2-Special-Triangles-and-Identities-010310

Core1Revision Simultaneous equations 25/02/10

• Just a few pairs of simulteneous equations

http://www.scribd.com/doc/27459959/Core-Revision-Simultaneous-Equations-250210

Core2 Graphs of trigonometric functions 25/02/10

• Plotting sin,cos,tan graphs
• Properties of sin,cos,tan graphs
• Using sin,cos,tan graphs

http://www.scribd.com/doc/27451729/Core2-Graphs-of-Trig-Functions-250210

Core2 Angles 24/02/10

• Definition of a radian
• Equivalence of radians and degrees
• Angles on a coordinate plane - quadrants, negative angles, angles greater than one turn
• Angles on a coordinate plane - radians and degrees
• Trigonometric functions - equal magnitudes - signs in which quadrant

http://www.scribd.com/doc/27376608/Core2-Angles-240210

Core2 Trigonometry revision 22/02/10

• Basic trigonometric ratios (sin, cos, tan)
• Sine rule (finding side and finding angle)
• Cosine rule (finding side and finding angle)

http://www.scribd.com/doc/27261989/Core2-Trigonometry-Revision-220210

Core1Revision Differentiation&Integration 11/02/10

• All past exam questions (Edexcel Core 1)
• Straight-forward differentiation and integration problems
• Including dealing with fractional indices
• Including rearranging original function first

http://www.scribd.com/doc/26727195/Core-Revision-Differentiation-Integration-110210

Core2 Maximums and minimums - exam questions 11/02/10

• All past exam questions (Edexcel Core 2)
• Focus on using maximums and minimums to solve practical problems
• Equate differential to zero to find stationary points
• Second differential negative to justify maximum
• Second differential positive to justify minimum

http://www.scribd.com/doc/26727005/Core2-Maximums-and-Minimums-Exam-Questions-110210

Core2 Stationary points2 10/02/10

• Consolidation of previous lesson (sketching graphs by gathering key information including stationary points)
• Using the second differential to determine the type of stationary point

http://www.scribd.com/doc/26657970/Core2-Stationary-Points2-100210

Core2 Stationary points 08/02/10

• describing graphs - using gradients
• increasing and decreasing functions (positive and negative gradients)
• stationary point (zero gradient)
• sketching graphs by identifying stationary points
• types of stationary points (local maximum, local minimum, point of inflexion)

http://www.scribd.com/doc/26552777/Core2-Stationary-Points-080210

Core2 Remainder and factor theorems - exam questions 04/02/10

• Recent Edexcel Core 2 exam questions ....
• Remainder and factor theorems
• Divison of polynomials
• Completely factorising cubic expressions
• Solving cubic equations

http://www.scribd.com/doc/26374364/Core2-Remainder-and-Factor-Theorems-Exam-Questions-040210

Core1Revision Straight lines 04/02/10

• lengths of line segments
• gradients of lines
• equations of lines
• equations in form ax + by + c = 0
• perimeter of a triangle
• showing triangle to be right angled
• area of triangle

http://www.scribd.com/doc/26373150/Core-Revision-Straight-Lines-040210

Core2 Remainder and factor theorems 030210

• reminder of dividing polynomials including with remainders
• discovery of remainder and factor theorems by substiuting values
• definitions of remainder and factor theorems
• using remainder and factor theorems to find factors of expressions

http://www.scribd.com/doc/26303422/Core2-Remainder-and-Factor-Theorems-030210

Core2 Dividing polynomials 01/02/10

• Dividing polynomials that leave no remainder
• Dividing polynomials that leave a remainder
• Comparing method used to long division method

http://www.scribd.com/Core2-Dividing-Polynomials-010210/d/26197907

Core1Revision Surds 280110

• Manipulating surd expressions
• Simplifying surd expressions
• Expanding and simplifying with surds
• Rationalising a denominator

http://www.scribd.com/doc/25981957/core1revision-surds-280110

Core2 Identities2 27/01/10

• factorising to perfect squares
• completing the square
• using completing the square to find vertex
• using in identity exam type question

http://www.scribd.com/doc/25894717/core2-identities2-270110

Core2 Identities1 25/01/10

• difference between an equation and an identity
• substitute to eliminate
• substitute then solve simultaneouly
• equate coefficients
• using completing the square

http://www.scribd.com/doc/25769117