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Quote of the day
Many who have had an opportunity of knowing any more about mathematics confuse it with arithmetic, and consider it an arid science. In reality, however, it is a science which requires a great amount of imagination.
(Sofia Kovalevskaya, 1850-1891)
Textbooks for Math HL and Math SL. Two textbooks written by Tim Garry and Ibrahim Wazir that are fully revised 2nd editions providing comprehensive coverage for the new 2014 syllabuses. Each textbook comes with an e-book (accessed through a website) containing a complete digital copy of the text along with numerous additional material.
If you are interested in Tim Garry visiting your school to work with teachers and/or students, please contact us.
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NEW P1 and P2 mock exams (new 2019 sets D) for both SL and HLSample Paper 1 and Paper 2 mock exams for SL & HLFour sets (A, B, C & D) of mock exams (pairs of Paper 1 & Paper 2 exams) for both Maths SL and Maths HL are available on the Sample Mock Exams page (16 exams in all). These original mock exams do not contain any past IB exam questions. A markscheme / solution key is available...
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 DayHL Problem of the Day #166There are two growing sets of 'problems' (one for SL and another for HL) with new 'problems' added every week to each set (along with a worked solution). The idea behind the Problem...
Developing Integration Rules from Differentiation Rules #1Tutorial: Integration by SubstitutionThroughout this tutorial you will often see the Leibniz notation for derivatives and differentials, named after the German mathematician Gottfried Wilhelm Leibniz (1646-1716). The beauty of this notation is that it provides an easy way to remember several important calculus formulas by making it seem as...
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 section 2.6).Although the syllabus content for quadratic functions & equations is quite similar between the SL and HL courses, there are some differences to note.For example, in the...
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 (see syllabus sections 3.2-3.6)A key aspect of solving trigonometric equations is whether or not an exact solution is required. It is very important that students get sufficient practice in solving...
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 section 3.7)Course planning / teaching notes:'Triangle' trigonometry includes parts of the Topic 3 - Circular Functions & Trigonometry that involves triangles - both right and non-right...
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 3.1) Most questions involving circles, radian measure, arcs and sectors require what I like to refer to as geometric problem solving. This kind of problem solving puts a lot of emphasis on...
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).new SL Test2 covering sequences & series and binomial theorem in teaching materials below (uploaded 2 January 2019). Worked solutions also available for the test.Although it's interesting (and I...
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 section 2.4)Although there is no mention of exponents or logarithms (and exponential or logarithmic functions) in the Prior Learning Topics for SL or the Prior Learning Topics for HL, it is very...
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 section 2.1)Function basics include items such as:▪ determining the domain and range of a given function▪ determining whether a function is an even or an odd function (type of symmetry)▪...
I highly recommend any IB Mathematics teacher who is seeking expert guidance on how best to teach either Standard Level or Higher Level Mathematics in today's classroom to subscribe to the InThinking website. It is an invaluable resource for both...
I really like the continuously expanding InThinking Maths HL & SL resources. I always find something useful among the plentiful, practical, well-formatted resources - including notes, assignments, assessments, and interesting student pages. Absolutely...
I highly recommend that HL teachers use your site. I am still amazed at all it has to offer. The wealth of material has made it so much easier for me to provide my students with problems that will help them learn any thing from the basics to accepting...
24 November 2018
Something which I think that is often not emphasized or valued enough when teaching mathematics is encouraging students to visualize a graph,... more
17 Feb Phyllis Chia
Sample Mock ExamsYes Tim, Thank you for your resources! They are a great help in our teaching! Thank you for being a blessing in providing the materials for our use! Cheers!
13 Feb Tim Garry
Integration by Substitution TutorialBenson, I've uploaded a PDF version of the Integration by Substitution tutorial at the very bottom of this page. Let me know if you feel it's helpful for your students.
13 Feb Tim Garry
Mock ExamsAzeb, Thanks for your question. This site is for IB Maths HL & SL, not for Math Studies. InThinking has a separate site for Math Studies. You will have to check on that site to see if they have mock exam(s).
13 Feb Azeb ESTIFANOS
Mock ExamsIs there a mock exam for mathematical studies?
13 Feb Benson Wallace
Integration by Substitution TutorialHi Tim, some of the mathematical notation in this tutorial isn't displaying properly - do you have a downloadable PDF version?
11 Feb Tim Garry
Statistics & Probability HL OptionShalini, Sorry it's not possible to write a suitable mock exam for each of the HL option topics. With the HL option topics being removed from the new courses that we start teaching in 7 months, it made it less of a priority. I will have mock...
11 Feb Shalini Mehan
Statistics & Probability HL OptionHi Tim, Is it possible to have sample mock exams for options as well?
11 Feb Tim Garry
HL Problem of the DayAndrew, Thanks very much for bringing that to my attention. I've now fixed that link. Glad you like the P.ot.D.s
11 Feb Andrew Riege
HL Problem of the DayHi Tim. HL # 12 links to #24. Thanks for these!
11 Feb Tim Garry
basics/composite & inverse functionsOmolade, Thanks for your comment on Q.4 - the 'discriminating HL question' above. I believe you meant to write 4(c) rather than 4(b). For 4(c), a=-5, b=0 would be solutions except that the domain of f is x>=2 which means that ax+b>=2. For a=-5,...
10 Feb Omolade Kadiri
basics/composite & inverse functionsFor question 4b of '4 questions' on this page, you can also get a = -5 and b = 0.
8 Feb Tim Garry
quadratic functions & eqnsNicola, Thank you for pointing out these errors. The error for 4(c) was pretty obvious given that only need to add 13/2 to both sides, then multiply both sides by 2, then take square root to get the correct zeros of -3+-sqrt(13). The error...