jo sibley poole grammar school further mathematics...
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Jo Sibley – Poole Grammar School
Further Mathematics Support Programme
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Department structure:
• 8 full time teachers, 3 part time or shared with other depts
• 11-18 boys’ grammar in Dorset.
• KS4 cohorts of up to 180, split into two halves, with 4 sets in each half. Small sets 3&4, larger sets 1&2.
• A level Maths is the largest subject at our school – we are expecting more than 100 to start the course this Autumn.
• Our dept are very committed and close-knit; we have all been working to improve learning through continuous in-classroom assessment methods such as mini-whiteboard work and imaginative pair and group work.
• We host up to two PGCE and two School Direct trainees each year and hope soon to be offering a post-ITT SKE as part of our Teaching School commitment.
…but I’m the only girl
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A bit of history:
• Previously used OCR FSMQ Additional Maths after early entry for GCSE (summer of Y10 or Autumn of Y11) for the two parallel top sets.
• In summer 2012, we also offered the AQA FM course to Year 11 Sets 1 (as well as Add Maths) and allowed selected students from Sets 2 and a few from a Set 3 to opt in to the new course as well, to be examined at the same sitting as their GCSE (starting teaching from Nov 2011).
• Currently Year 10 are not entered for early GCSE and we integrate the L2 FM with their GCSE teaching for all groups.
• In summer 2014, both Sets 1 and Sets 2 took the exam. Sets 3 and 4 were offered the chance to opt in.
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A level preparation:
• We would like all students embarking on A level Maths to have completed either FSMQ Add Maths or AQA L2 FM.
• We provide booster days in the summer for any who haven’t had access to this.
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• Stretches and challenges the more able
• Good preparation for AS/A level study
• More accessible than OCR Additional Maths
• Can be taught in parallel with GCSE
• Interesting exam questions (requiring students to think Mathematically)
• Excellent support from AQA
• Good free resources available (AQA, MEI etc)
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• Graded on a five-grade scale:
• A* with Distinction (A^), A*, A, B and C.
• Examined by two terminal papers:
• Paper 1 (Non-calculator) 1 hr 30 mins – 70 marks, 40%
• Paper 2 (Calculator) 2 hours – 105 marks, 60%
• Two sittings per year; January and June
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• It gives high achieving students an introduction to AS level topics that will help them to develop skills in:
• Algebra
• Geometry
• Calculus
• Matrices
• Trigonometry
• Functions
• Graphs
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• AQA’s own assessment guidance • made into a student booklet for Y11, used electronically for teaching
examples on screen, lots of mini-whiteboard use
• AQA’s worksheets • A later addition, now added to student booklets
• Exam paper booklets with topic cross referencing • Initially completed in exercise books by topic, then full papers at end
• Integral resources • Much use made of chapter assessments and multi-choice section tests,
on board or on paper
• Standards Unit box for Core Maths for fun activities
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• Revision sheets designed in-house
• Old OCR Add Maths textbooks and past papers • Especially good for coordinate geometry, trig
equations, quadratic inequalities, factor theorem and differentiation
• Core 1 and 2 questions from past papers
• MaxBox coursework task
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• Specifically designed expensive text books! • They didn’t exist at the beginning so we got by without and now we
don’t miss them at all!
• We have now bought a set of these but haven’t had a chance to try them yet… watch this space!
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Categorising quadratics
At least 1
positive root
Negative y-
intercept
Turning point
in 3rd
Quadrant
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Piecewise functions ◦ With curve sketching?
Differentiation ◦ 6th form familiarisation?
Matrices ◦ With transformations?
Factor theorem ◦ With quadratics?
… or at the end of the course.
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Matrices: ◦ Combinations of transformations AB BA
◦ Rotation is anticlockwise in Maths!
◦ Negative determinants mean reflection
Equation of a straight line ◦ y - a= m(x – b) from the start
Second derivatives and points of inflexion
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Things we don’t like so much:
No integration
No binomial expansion
No complex numbers
… but we probably wouldn’t have time to do these anyway!
Things we would like to see:
A separate applied course on the same lines
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Stuff we do like:
Problem solving, puzzle-type questions
Connecting topics and different ways to answer a question
Exact answers – surds all over the place, 30/60/90 triangles
Proper algebraic proof
Interesting to teach and room to extend - for fun!
… and so much more fun than Stats GCSE!
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Simplify: 12: 48: 300
OABC is a kite. Find its area and the coordinates of point B:
C(0, 4)
B
A(12, 0) O
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Jo Sibley – Poole Grammar School
Further Mathematics Support Programme