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Mock Examsfree16 February 2019

There is a strong argument that the most important assessments - other than the official IB exams taken in May or November - are the mock exams (i.e. 'practice' exams) that students take 2 to 4 months... more

trig functions, eqns & identities22 June 2018

Quick links:► downloadable teaching materials for trigonometric functions, equations & identities► syllabus content for the Trigonometry Topic: SL syllabus (see syllabus sections 3.2-3.5); HL syllabus... more

triangle trigonometry & applications3 February 2018

Quick links:► downloadable teaching materials for triangle trigonometry & applications► syllabus content for the Trigonometry Topic: SL syllabus (see syllabus section 3.6); HL syllabus (see syllabus... more

angles, circles, arcs & sectorsfree9 November 2016

Quick links:► downloadable teaching materials for angles, circles, arcs & sectors► syllabus content for the Trigonometry Topic: SL syllabus (see syllabus section 3.1); HL syllabus (see syllabus section... more

Problem of the Dayfree15 February 2019

There are currently 332 problems (166 SL + 166 HL) with more problems added every week. There are separate pages for the SL Problem of the Day and for the HL Problem of the DayThere are two growing sets... more

sequences & seriesfree2 January 2019

Quick links:► downloadable teaching materials for sequences & series► syllabus content for the Algebra Topic: SL syllabus (see syllabus section 1.1); HL syllabus (see syllabus section 1.1). more

exp & log functions & eqns21 November 2018

Quick links:► downloadable teaching materials for exponential & logarithmic functions and equations► syllabus content for the Topic: SL syllabus (see syllabus section 2.6); HL syllabus (see syllabus... more

basics/composite & inverse functionsfree2 December 2018

Quick links:► downloadable teaching materials for function basics and composite & inverse functions► syllabus content for the Topic: SL syllabus (see syllabus section 2.1); HL syllabus (see syllabus... more

Calculus HL option4 October 2018

► downloadable teaching materials for Calculus HL optionIn the previous Maths HL syllabus this HL option topic was entitled Infinite Series and Differential Calculus - and this title is still a reasonable... more

inverse trig functions (HL)10 November 2017

Quick links:► downloadable teaching materials for inverse trigonometric functions in the HL core syllabus► syllabus content for the Trigonometry Topic: HL syllabus (see syllabus section 3.5 ) more

Vectors30 April 2018

Quick links:► downloadable Tests and Review for unit on Vectors► syllabus content for the Vectors Topic: SL syllabus and HL syllabusThe Vectors Topic in both SL and HL contains quite a bit of content... more

quadratic functions & eqns8 February 2019

Quick links:► downloadable teaching materials for quadratic functions & equations► syllabus content for the Functions & Equations Topic: SL syllabus (see syllabus section 2.4); HL syllabus (see syllabus... more

binomial theorem7 November 2018

Quick links:► downloadable teaching materials for binomial theorem► syllabus content for the Algebra Topic: SL syllabus (see syllabus section 1.3); HL syllabus (see syllabus section 1.3).The first... more

areas & volumes17 September 2018

Quick links:► downloadable teaching materials for areas & volumes► syllabus content for the Calculus Topic: SL syllabus (see syllabus section 6.5); HL syllabus (see syllabus sections 6.5).Whether... more

differentiation basics16 January 2019

Quick links:► downloadable teaching materials for differentiation basics► syllabus content for the Calculus Topic: SL syllabus (see syllabus section 6.1 ); HL syllabus (see syllabus section 6.1). more

probability distributions17 October 2018

Quick links:► downloadable teaching materials for probability distributions► syllabus content for Statistics & Probability Topic: SL syllabus (see syllabus sections 5.7, 5.8 & 5.9); HL syllabus (see... more

Review Materials28 December 2018

This section will contain collections of review questions for both HL and SL. There are three sub-pages included under this page:1. Sets of SL(HL) Review Exercises2. Sets of HL(SL) Review Exercises3.... more

vector basics & operations28 February 2018

Quick links:► downloadable teaching materials for vector basics & operations► syllabus content for the Vectors Topic: SL syllabus (see syllabus section 4.1); HL syllabus (see syllabus section 4.1). more

exponents & logarithmsfree10 December 2018

Quick links:► downloadable teaching materials for exponents & logarithms► syllabus content for the Algebra Topic: SL syllabus (see syllabus section 1.2); HL syllabus (see syllabus section 1.2). more

Trigonometry15 May 2018

Although trigonometry historically developed from the use of triangles in applications such as navigation, surveying, map-making and architecture, it is important for students to be aware that there are... more

probability of events12 September 2018

Quick links:► downloadable teaching materials for probabilities of events► syllabus content for the Statistics & Probability Topic: SL syllabus (see syllabus sections 5.5 & 5.6 ); HL syllabus (see... more

descriptive statisticsfree28 February 2017

Quick links:► downloadable teaching materials for descriptive statistics► syllabus content for the Algebra Topic: SL syllabus (see syllabus section 5.1); HL syllabus (see syllabus section 5.1). more

rational functions14 November 2016

Quick links:► downloadable teaching materials for rational functions► syllabus content for the Topic: SL syllabus (see syllabus section 2.5); HL syllabus (see syllabus section 2.4)Information on rational... more

complex numbers (HL)16 November 2018

Quick links:► downloadable teaching materials for complex numbers► syllabus content for the Algebra Topic: HL syllabus (see syllabus items 1.5, 1.6 & 1.7).complex number vs imaginary number more

transformations of graphs28 May 2018

Quick links:► downloadable teaching materials for transformations of graphs► syllabus content for the Topic: SL syllabus (see syllabus section 2.3); HL syllabus (see syllabus section 2.3) more

scalar product & applications18 August 2016

Quick links:► downloadable teaching materials for scalar product & applications (vectors)► syllabus content for the Vectors Topic: SL syllabus (see syllabus section 4.2); HL syllabus (see syllabus... more

polynomial functions & eqns (HL)free11 October 2018

The syllabus items related to polynomial functions & equations are included in the HL syllabus sections 2.5, 2.6 & 2.7. Specifically this includes: polynomial functions & their graphs, factor & remainder... more

Calculus10 November 2018

Quick links:► downloadable teaching materials for calculus (calculus tests & review quizzes)The Calculus Topic is the largest syllabus topic in terms of the recommended teaching hours for both SL and... more

equations of lines15 May 2018

Quick links:► downloadable teaching materials for vector equations of lines► syllabus content for the Vectors Topic: SL syllabus (see syllabus sections 4.3 & 4.4 ); HL syllabus (see syllabus sections... more

normal distributionfree26 January 2018

Quick links:► downloadable teaching materials for normal distribution► syllabus content for the Statistics & Probability Topic: SL syllabus (see syllabus section 5.9); HL syllabus (see syllabus section... more

Sample Explorations19 November 2014

The main purpose of this section of the IA (Exploration) part of the site is to provide a range of Exploration ideas that have been 'worked out' to some extent - somewhere from full 'original' (i.e. non-IB)... more

integration by substitution9 May 2016

Quick links:► downloadable teaching materials for integration by substitution► syllabus content for the Calculus Topic: SL syllabus (see syllabus section 6.4); HL syllabus (see syllabus section 6.7). more

further differentiation methods21 May 2018

It seems appropriate to place Gottfried Wilhelm von Leibniz prominently at the top of this page. Along with major contributions in areas such as philosophy, physics and technology (he invented several... more

lines & planes in space (HL)4 January 2019

Quick links:► downloadable teaching materials for lines & planes in space (vectors)► syllabus content for the Vectors Topic: HL syllabus (see syllabus section 4.7 ).A significant difference between... more

Exploration SL - Student Guide29 June 2015

[ teachers - go to the Managing Exploration page to download this Student Guide as a PDF with fillable fields (for deadlines)1. What is Internal Assessment in IB Mathematics Standard Level ? more

differentiation basics - Notes1 February 2015

A very important early concept in the study of differential calculus is the rate of change of a function. Students are very familiar with this idea in the context of a linear function - that is, the slope... more

integration basics31 January 2019

Quick links:► downloadable teaching materials for integration basics► syllabus content for the Calculus Topic: SL syllabus (see syllabus sections 6.4 & 6.5); HL syllabus (see syllabus sections 6.4... more

optimization8 December 2017

Quick links:► download teaching materials for optimization► syllabus content for the Calculus Topic: SL syllabus (see syllabus section 6.3); HL syllabus (see syllabus section 6.3).Applying methods... more

Exams26 October 2017

DetailsExternal assessment (written exams) contributes 80% to the final grade that a student earns for either Maths HL or SL. The Internal assessment component, the Exploration, contributes the other... more

maxima & minima31 December 2015

Quick links:► downloadable teaching materials for maxima & minima► syllabus content for the Algebra Topic: SL syllabus (see syllabus section 6.3); HL syllabus (see syllabus section 6.3).The overall... more

Algebra6 November 2014

There is a significant difference in syllabus content between the Algebra topic in Maths HL and the Algebra topic in SL. The number of recommended teaching hours for the Algebra topic in HL is 30 hours... more

tangents & normalsfree8 March 2018

Quick links:► downloadable teaching materials for tangents & normals► syllabus content for the Calculus Topic: SL syllabus (see syllabus section 6.1); HL syllabus (see syllabus sections 6.1). more

Managing the Explorationfree17 February 2016

I have written a 10-page Student Guide for the Exploration - one for HL, and one for SL. Each Student Guide is available as a PDF such that the dates for the different steps can be filled in by you, the... more

Stats & Prob13 November 2017

Statistics & Probability is topic #5 for Math SL and HL. Although the syllabus content for statistics and probability is packaged into one syllabus topic, in terms of organizing the material for teaching... more

SL Syllabus Content1 July 2015

Below is a comprehensive summary of the syllabus content for Math Standard Level that applies to first examinations in 2014 and final examinations in 2020. The syllabus content contains six topics (numbered... more

Exploration (IA) Ideasfree9 September 2015

Most secondary students have very little or no experience in formal writing tasks in which they discuss and analyze mathematical ideas. They have completed countless hours of doing mathematics - e.g.... more

Assessment13 December 2014

Assessments for Maths HL & Maths SL consist of written exams (external assessment) and a single internal assessment (IA) task. Maths HL has three written exams and SL has two written exams. The IA task... more

Functions & Eqns5 October 2014

Notes on teaching the Functions & Equations topic Exercise sets (with answers) and activities to use with students Unit tests and quizzes with answers or worked solutions Outline of... more

counting principles (HL)16 November 2017

Quick links:► downloadable teaching materials for counting principles► syllabus content for the Algebra Topic: HL syllabus (see syllabus item 1.3).Counting principles is specifically listed in the... more

vector product & applications (HL)10 July 2015

Quick links:► downloadable teaching materials for vector product & applications► syllabus content for the Vectors Topic: HL syllabus (see syllabus section 4.5).There are different methods for computing... more