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