IB MATHEMATICS

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.

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

IB Maths

There are four IB Maths courses Maths Studies SL Maths SL Maths HL Further Maths SL

To begin with, we will choose only two Mathematics SL Mathematics HL

Math SL – 150 hours 140 Class hours 2 Portfolio Entries – 10 hours Mathematical Investigation Mathematical Modeling

Math HL – 240 Hours 190 Class hours 2 Portfolio Entries – 10 hours Mathematical Investigation Mathematical Modeling One of the “Options” – 40 hours

Math HL Options Statistics and Probability Sets, Relations, and Groups Series and Differential Equations Discrete Mathematics

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

What is a GDC? Graphical Display Calculator The TI-84 Plus or Silver Edition

Oxford Science Solutions What is a GDC? Graphical Display Calculator Oxford Science Solutions www.oxsci.co.uk

What is CASE? CASE (computer algebra system enabled) calculators TO COME!

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.

Books Haese and Harris

Books IBID PRESS

Australian Publishers Haese and Harris IBID Press EXPENSIVE! – Shipping charge!

British Supplier HEATH BOOKS The IB Bookshop, Heath Books, Willow House, Willow Walk, Sutton, Surrey SM3 9QQ, UK. Tel: 020 8644 7788, Fax: 020 8641 3377

Other Suppliers Harper Collins Oxford University Press Heinemann Cambridge University Press Hodder Murray Mathematics Publishing

Support Sites www.livemaths.co.uk www.mymaths.co.uk www.mathtutor.ac.uk/viewdisks.php www.mathtutor.ac.uk/ipod.shtml IB Online Curriculum

Further Maths SL Statistics and Probability Sets, Relations and Groups Discrete Mathematics Series and Differential Equations

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

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)

Comparison with A Level The HE representative proposed a mapping along the lines: "7"=133 "6"=96 "5"=58 "4"=20

Mathematical Studies

Mathematics Standard SL

Mathematics Standard SL

Mathematics Higher Level

Further Mathematics SL

Internal Assessment Mathematics Studies Examples of Projects Calculating beauty—the golden ratio Periodic Functions Infant mortality Calculating time of sunrise and sunset

Internal Assessment Mathematics SL and HL Type I Tasks Mathematical Investigation Matrix powers (SL) Zeros of the Cubic Function (HL)

Internal Assessment Mathematics SL and HL Type II Tasks Mathematical Modelling Sunrise over New York (SL) Flow Rate (HL)

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

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