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sequences & seriesfree25 September 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

basics/composite & inverse functionsfree9 October 2019

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

new syllabus > new websitefree15 October 2019

very soon .... launch of new Analysis & Approaches siteOne of the tasks that has slowed me down in getting the new Analysis & Approaches site (aka 'Analysis site') ready is composing a Teaching Plan for... more

Calculus Tests & Review29 September 2019

here's an interesting problem (presented in GeoGebra applet below) to challenge your students ... solution will be appearing soonclick here to jump down to the Calculus Tests 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

Problem of the Dayfree21 October 2019

There are currently 398 problems (199 SL + 199 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

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

Mock Examsfree1 October 2019

New original specimen papers (SL & HL) will be appearing in the near future for the Analysis & Approaches course. These will appear on the new site, soon to be launched, for the Analysis & Approaches... more

transformations of graphsfree18 October 2019

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

binomial theorem7 October 2019

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). 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

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

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

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

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

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

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

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

optimization22 April 2019

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

further differentiation methods3 April 2019

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

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

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

differentiation basics1 September 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

maxima & minima3 March 2019

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

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

areas & volumes / kinematics18 March 2019

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

proof by induction (HL)free28 March 2016

Proof by mathematical induction is only in the HL course (not in SL) - and is the only formal proof method in the HL syllabus. Generally speaking, students do not have much experience (often none at... more

solving other equations26 September 2018

Quick links:► downloadable teaching materials for solving other equations► syllabus content for the Algebra Topic: SL syllabus (see syllabus section 2.7); HL syllabus (see syllabus section 2.6). 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

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

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

solving inequalities (HL)21 August 2015

Quick links:► downloadable teaching materials for solving inequalities► syllabus content for the Functions & Equations Topic: HL syllabus (see syllabus section 2.7).There are a variety of different... 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

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

Preparing for HL Paper 3 - Analysis1 August 2019

One of the more significant changes in the new IB maths courses is a completely revamped Paper 3 exam (HL level only). As the Analysis & Approaches Guide puts it, the Paper 3 exam consists of "two compulsory... more

Other changes to a graphfree2 January 2018

The graph of a function can be changed ("transformed") in ways other than the 'standard' transformations involving translations, reflections and dilations (stretching & shrinking). Other changes to the... more

HL Core Syllabus Content2 July 2017

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

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

linear regression (SL)24 January 2018

Quick links:► syllabus content for the Statistics & Probability Topic: SL syllabus (see syllabus item 5.4).A more precise title for this syllabus content would be linear correlation of bivariate data... 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

binomial coefficients on GDC29 March 2014

In the new syllabus for both SL and HL, it is emphasized that students need to know how to calculate a binomial coefficient (combinations) by using the formula (given in the formula booklet) and by using... 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

Review Materials30 June 2019

This section contains collections of exam 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

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

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

partial sums race29 September 2017

Use the Geogebra applet below to have a 'race' between the partial sums for two different series. It is initially set up with the geometric series \({\sum\limits_{k = 1}^n {\left( {\frac{4}{5}} \right)} ^{k - 1}}\) versus the harmonic series \(\sum\limits_{k = 1}^n {\frac{1}{k}} \). Increase... 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

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

implicit differentiation & related rates (HL)10 September 2019

Quick links:► downloadable teaching materials for implicit differentiation and related rates► syllabus content for the Calculus Topic: HL syllabus (see syllabus section 6.2).Implicit differentiation... more