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IB MATHEMATICS
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IB Phrases to Know SL – Standard Level: A course that has 150 seat hours. Students must take three SL courses. HL – Higher Level: A course that has 240 seat hours. Students must take three HL courses. * NOTE * In some instances, a student may take four HL classes and two SL classes.
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IB Phrases to Know Internal Assessment: An evaluation instrument that is graded by the teacher but is moderated by another teacher somewhere in the world. External Assessment: The culminating exam given in May of a student’s senior year
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IB Maths
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There are four IB Maths courses
Maths Studies SL Maths SL Maths HL Further Maths SL
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To begin with, we will choose only two
Mathematics SL Mathematics HL
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Math SL – 150 hours 140 Class hours 2 Portfolio Entries – 10 hours
Mathematical Investigation Mathematical Modeling
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Math HL – 240 Hours 190 Class hours 2 Portfolio Entries – 10 hours
Mathematical Investigation Mathematical Modeling One of the “Options” – 40 hours
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Math HL Options Statistics and Probability Sets, Relations, and Groups
Series and Differential Equations Discrete Mathematics
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Comparison of Content Hours
SL HL Algebra 8 20 Functions and Equations 24 26 Circular Functions and Trig 16 22 Matrices 10 12 Vectors Statistics and Probability 30 40 Calculus 36 48
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What is a GDC? Graphical Display Calculator The TI-84 Plus or
Silver Edition
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Oxford Science Solutions
What is a GDC? Graphical Display Calculator Oxford Science Solutions
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What is CASE? CASE (computer algebra system enabled) calculators TO COME!
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The Extended Essay A Research paper on a personally meaningful topic
Must be less than 4000 words The Subject must be chosen from the list of available IB subjects.
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Books Haese and Harris
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Books IBID PRESS
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Australian Publishers
Haese and Harris IBID Press EXPENSIVE! – Shipping charge!
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British Supplier HEATH BOOKS
The IB Bookshop, Heath Books, Willow House, Willow Walk, Sutton, Surrey SM3 9QQ, UK. Tel: , Fax:
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Other Suppliers Harper Collins Oxford University Press Heinemann
Cambridge University Press Hodder Murray Mathematics Publishing
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Support Sites www.livemaths.co.uk www.mymaths.co.uk
IB Online Curriculum
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Further Maths SL Statistics and Probability Sets, Relations and Groups
Discrete Mathematics Series and Differential Equations
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International Baccalaureate GCE A level Mathematics
Comparison with A Level Material unique to the IB and A level mathematics syllabuses. International Baccalaureate GCE A level Mathematics Induction Complex numbers Matrices Kinematic problems Odd, even and periodic functions Polynomial inequalities Small angle approximations Coordinate geometry of circle Recurrence relationships Parametric equations of curves General solution of trigonometric equations Trapezium and Simpson’s rules Source: EXPERT GROUP REPORT
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Comparison with A Level
IB Subject Size Grade alignment Higher Level Mathematics 10-20% larger than A level top 6, 7 ≡ A 4 ≡ E Standard Level Mathematical Methods 2/3 A level 7 ≡ A Further ≡ 1 A Level (taking into account size and demand together) and accept 7 ≡ A, 4 ≡ E Studies ≡ 30 – 40% A Level (taking into account size and demand together)
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Comparison with A Level
The HE representative proposed a mapping along the lines: "7"=133 "6"=96 "5"=58 "4"=20
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Mathematical Studies
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Mathematics Standard SL
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Mathematics Standard SL
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Mathematics Higher Level
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Further Mathematics SL
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Internal Assessment Mathematics Studies Examples of Projects
Calculating beauty—the golden ratio Periodic Functions Infant mortality Calculating time of sunrise and sunset
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Internal Assessment Mathematics SL and HL Type I Tasks
Mathematical Investigation Matrix powers (SL) Zeros of the Cubic Function (HL)
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Internal Assessment Mathematics SL and HL Type II Tasks
Mathematical Modelling Sunrise over New York (SL) Flow Rate (HL)
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WORLD AVERAGES Subject 2007 2006 2005 2004 2003 2002 2001 2000 4.60
MATHS SL 4.60 4.78 4.90 4.85 4.88 4.84 4.72 ST - SL 4.49 4.58 4.73 4.64 4.54 4.67 HL 4.43 4.57 4.68 4.69
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CHANGES CASE CALCULATORS FURTHER MATHEMATICS HL – 5 Options
OPTION PAPERS (GDC OR CASE) FOR SL AND HL TECHNOLOGY CRITERION TO BE INTRODUCED IN MATHS STUDIES
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