fsmq additional mathematics - meimei.org.uk/files/conference07/a10.pdf · 2 what is additional...
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the Further Mathematics network
www.fmnetwork.org.uk
Additional Maths (MEI Conference)
5th July 2007
University of Reading
Hello, my name is Tim…
I have just completed my first year teaching Additional Maths to students from three different schools, through the Further Mathematics NetworkLessons took place at the University of Warwick on Thursdays after school, 4pm-5.30pmI come from a University background and taught alongside someone with a school background. This worked well
FSMQ Additional Mathematics
And you are…
How many students did we have?
At first we had getting on for thirty!They all seemed to enjoy the lessons, but sadly a lot dropped off (reasons: perhaps after school, too hard, largely though problems with schools arranging taxis)We finished with about twelve
FSMQ Additional MathematicsWhy did students join our classes?
NOT everyone joined our classes to sit the examEven people who weren’t too confident for the Additional Mathematics exam still recognised that the lessons had improved their confidence in GCSE no end, and had prepared them brilliantly for A LevelOur ‘success story’ was a student who was keen but not one of the best in the class. Over the course of the year he became a top student in his GCSE lessons. The school now wants to send 10+ students to Additional Mathematics next year
FSMQ Additional Mathematics
One student even used Additional Mathematics to improve his confidence in his Core A Level Mathematics (and the improvements have been very noticeable)
Homeworks/Independent Study?All students had access to the Online ResourcesHomework was set though some of the students weren’t very motivated for independent study. It was hard to push this when they were doing this as an extra subject (I’ll be harder next year!)We could cover the course content across the year… but only just!Please ask me any questions at any stage of this hour… or afterwards!
FSMQ Additional MathematicsThis is a Conference so we’ve got to have a few funnies…
FSMQ Additional Mathematics
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What is Additional Maths?
Extension to GCSE mathematicsAimed at able year 11 studentsLevel 3 qualification
FSMQ Additional MathematicsThe content of Additional Maths
4 strands of Pure Maths each followed by an application
1. Algebra – The binomial distribution2. Co-ordinate geometry – Linear programming3. Trigonometry – 3D Trigonometry4. Calculus – Kinematics
FSMQ Additional Mathematics
Models of deliveryComplete GCSE Maths in year 10 or by January of year 11, then study Add MathsStudy alongside GCSE Maths in year 11 (or across Years 10 and 11)
Whole groupSelected students from a group
It is preferable if the decision to enter the students for the exam is delayed for as long as possible
FSMQ Additional MathematicsResources
TextbookOnline resources –www.addmaths.mei.org.ukPast papers – www.mei.org.ukHandwritten solutions and Powerpointsolutions
FSMQ Additional Mathematics
Professional Development
2-day CPD coursesDay 1: introduction to the big ideas in Add Maths In-between: consolidation based on web-resources and textbookDay 2: teaching approaches, student misconceptions and extension work
see http://www.mei.org.uk/cpd/alevel.shtml
FSMQ Additional MathematicsUseful URLs
The Further Mathematics Network: www.fmnetwork.org.ukOnline resources:www.addmaths.mei.org.ukPast papers and CPD information www.mei.org.ukSpecificationwww.ocr.org.uk
FSMQ Additional Mathematics
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UCAS tariff points
7E10D13C17B
E20AD30CE40B50AD60
C80B100A120
AS levelA levelFSMQ
FSMQ Additional MathematicsPerformance table points
25E
30D
35C
40B
45A
PointsGrade
FSMQ Additional Mathematics
Additional Mathematics Statistics
75.3%65.7%57.3%48.1%35.2%
344556677943812006
66.40%57.20%47.60%38.30%27.80%
324151617139362005
73.10%63.30%52.70%40.30%27.50%
344352617034662004
76.40%67.40%58.00%44.50%29.10%
394857677723422003
EDCBAcandidates
FSMQ Additional MathematicsThis is a Conference so we’ve got to have a few funnies…
FSMQ Additional Mathematics
the Further Mathematics network
www.fmnetwork.org.uk
Additional Maths Revision Day
11th June 2007
University of Warwick
the Further Mathematics network
www.fmnetwork.org.uk
Welcome!
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Outline of Topics1. Algebra I - Review
2. Algebra II - Techniques
3. Algebra III - Polynomials
4. Algebra IV - Applications
5. Co-ordinate Geometry I
6. Co-ordinate geometry II – Applications
7. Trigonometry I
8. Trigonometry II – Applications
9. Calculus I – differentiation
10. Calculus II – Integration
11. Calculus III – Applications to Kinematics
Algebra I - Review
I. Linear Expressions
II. Solving Linear Equations
III. Changing the subject of an equation
IV. Quadratic expressions
V. Solving a quadratic equation that factorises
VI. Completing the square
VII. Simultaneous equations
AM 13th June 2003Question 1
Algebra II - Techniques
I. Linear Inequalities
II. Solving quadratic inequalities
III. Simplifying algebraic fractions
IV. Solving equations involving fractions
V. Simplifying expressions containing square roots
AM 15th June 2006Question 5
AM 21st June 2004Question 6
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AM 13th June 2003Question 13
Algebra III - Polynomials
I. Operations with polynomials
II. The factor theorem
III. The remainder theorem
AM 13th June 2003Question 9
AM 15th June 2006Question 9
AM 20th June 2005Question 2
AM 21st June 2004Question 10
6
Algebra IV - Applications
I. The binomial expansion
II. The binomial distribution
AM 20th June 2005Question 6
AM 13th June 2003Question 6
AM 15th June 2006Question 11
AM 20th June 2005Question 5
AM 13th June 2003Question 12
7
AM 21st June 2004Question 9
Co-ordinate geometry I
I. Co-ordinates
II. The gradient of a line
III. Parallel and perpendicular lines
IV. The distance between two points
V. The midpoint of a line joining two points
VI. The equation of a straight line
VII. Drawing a line given its equation
VIII. Finding the equation of a line
IX. The intersection of two lines
X. The circle
AM 15th June 2006Question 10
AM 21st June 2004Question 7
AM 15th June 2006Question 7
AM 21st June 2004Question 1
8
AM 15th June 2006Question 4
AM 21st June 2004Question 12
Co-ordinate geometry II - Applications
I. Inequalities
II. Using inequalities for problem solving
III. Linear Programming
AM 15th June 2006Question 8
AM 13th June 2003Question 5
AM 20th June 2005Question 11
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AM 21st June 2004Question 11
Trigonometry II. Using trigonometry in right-angled triangles
II. Trigonometric functions for angles of any size
III. The sine and cosine graphs
IV. The tangent graph
V. Solution of equations using graphs of trigonometric functions
VI. Identities involving sin θ, cos θ, and tan θ
VII. Using trigonemetric identities to solve equations
VIII. The sine rule
IX. The cosine rule
X. Using the sine and cosine rule together
AM 20th June 2005Question 12
AM 13th June 2003Question 4
AM 20th June 2005Question 4
AM 15th June 2006Question 3
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AM 21st June 2004Question 5
AM 20th June 2005Question 9
AM 13th June 2003Question 7
AM 20th June 2005Question 3
AM 21st June 2004Question 8
AM 15th June 2006Question 2
11
AM 13th June 2003Question 14 (Part One)
AM 13th June 2003Question 14 (Part Two)
Trigonometry II- Applications
I. Working in three dimensions
II. Lines and planes in three dimensions
AM 21st June 2004Question 3
AM 13th June 2003Question 8
AM 15th June 2006Question 13 (Part One)
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AM 15th June 2006Question 13 (Part Two)
Calculus I - Differentiation
I. The gradient of a curve
II. Finding the gradient of a curve
III. Differentiation using standard results
IV. Tangents and normals
V. Stationary points
AM 20th June 2005Question 1
AM 13th June 2003Question 2
AM 21st June 2004Question 4
AM 20th June 2005Question 10
13
AM 15th June 2006Question 14 (Part One)
AM 15th June 2006Question 14 (Part Two)
Calculus II - Integration
I. Reversing differentiation
II. Definite integrals
III. The area between two curves
AM 15th June 2006Question 1
AM 13th June 2003Question 3
dy
AM 15th June 2006Question 6
14
AM 20th June 2005Question 7
AM 21st June 2004Question 2
AM 13th June 2003Question 11 (Part One)
AM 13th June 2003Question 11 (Part Two)
AM 20th June 2005Question 13 (Part One)
AM 20th June 2005Question 13 (Part Two)
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Calculus III – Applications to kinematics
I. Motion in a straight line
II. The constant acceleration formulae
III. Motion with variable acceleration: the general case
IV. Finding displacement from velocity and velocity from acceleration
AM 13th June 2003Question 10
AM 20th June 2005Question 8
AM 15th June 2006Question 12
AM 21st June 2004Question 14
AM 21st June 2004Question 13