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Mock Examsfree21 June 2018

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

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

sequences & seriesfree6 December 2018

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 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

quadratic functions & eqns9 October 2018

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

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

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

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

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

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

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

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

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

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

Problem of the Dayfree13 December 2018

There are currently 320 problems (160 SL + 160 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

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

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

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

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

Review Materialsfree12 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

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

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

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

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

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

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

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

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

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

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

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

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

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

integration basics30 August 2018

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

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

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

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

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

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

differentiation basics6 April 2018

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 & 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

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

SL & HL Core teaching sequencefree16 March 2015

The following is a suggested teaching sequence (plan) for the content in the Maths SL syllabus and the Maths HL Core syllabus. Of course, there is no single teaching sequence which is best for everyone... 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)21 March 2018

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 (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

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

Transformations - interactive practicefree2 January 2018

Use the Geogebra applet below to test your knowledge of transformations of graphs that may include a translation, reflection or dilation (stretch or shrink). Each of the five graphs shows a transformation... 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