IB MATHEMATICS
Mar 26, 2015
IBMATHEMATICS
IB Phrases to KnowSL – 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 fourIB 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 ofContent Hours
SL HLAlgebra 8 20
Functions and Equations 24 26Circular Functions and
Trig16 22
Matrices 10 12Vectors 16 22
Statistics and Probability 30 40Calculus 36 48
What is a GDC?
The TI-84 Plus or Silver Edition
GraphicalDisplayCalculator
What is a GDC?
Oxford Science Solutionswww.oxsci.co.uk
GraphicalDisplayCalculator
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
Comparison with A LevelMaterial unique to the IB and A level mathematics
syllabuses.
International Baccalaureate
GCE A level Mathematics
InductionComplex numbersMatricesKinematic problems
Odd, even and periodic functions
Polynomial inequalitiesSmall angle approximationsCoordinate geometry of circleRecurrence relationshipsParametric equations of curvesGeneral solution of
trigonometric equationsTrapezium and Simpson’s rules
Source: EXPERT GROUP REPORT
IB Subject Size Grade alignment
Higher Level
Mathematics
10-20% larger
than A level
top 6, 7 ≡ A4 ≡ E
Standard Level
Mathematical
Methods
2/3 A level 7 ≡ A4 ≡ E
Standard Level
FurtherMathematic
s
≡ 1 A Level (taking into account size and demand together) and accept 7 ≡ A, 4 ≡ E
Standard Level
Mathematical
Studies
≡ 30 – 40% A Level (taking into account size and demand together)
Comparison with A Level
The HE representative proposed a mappingalong the lines:
"7"=133"6"=96"5"=58"4"=20
Comparison with A Level
Mathematical Studies
Mathematics Standard SL
Mathematics Standard SL
Mathematics Higher Level
Further Mathematics SL
Internal AssessmentMathematics 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
MATHS SL 4.60 4.78 4.90 4.85 4.90 4.88 4.84 4.72
MATHSST - SL 4.49 4.60 4.72 4.58 4.73 4.64 4.54 4.67
MATHSHL 4.43 4.57 4.68 4.72 4.69 4.84 4.67 4.72
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