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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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There are currently 352 problems (176 SL + 176 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 DaySL Problem of the Day #176There 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...
This section contains 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. Sets of HL Review ExercisesNew set of 12 review questions with GDC allowed (Paper 2): Year1_SLHL_Review on SL(HL) Review Exercises page (5 April 2019)The SL(HL) Review Exercises are written primarily with...
The mathematics courses in the International Baccalaureate Diploma Programme (IBDP) will be very different starting in August 2019 (first exams in May 2021). The changes are certainly the most substantial since the addition of an internal assessment task to IBDP mathematics nearly 20 years ago, and maybe the biggest changes for mathematics since the IBDP began 50 years ago.new InThinking sites for...
2 April 2019: new chain rule Quiz belowIt 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 mechanical calculators), Leibniz developed much of the foundations of infinitesimal calculus slightly after but independent of Isaac Newton. It was an astonishing...
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...
This page contains several unit tests on calculus - differential calculus & integral calculus - for both HL and SL. Most of the tests below have worked solutions (solution keys) available as a separate document. I've also added some review quizzes on the bottom of this page.Calculus Tests Test_SLHL_Intro_Diff_Calculus_v1 [4 questions with no GDC; 5 questions with GDC allowed]syllabus content...
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 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 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...
Tim's InThinking site has been invaluable to me as a new IB teacher. Before starting any new syllabus item, I use the site to gain a better understanding of the types of problems that my students need to be able to solve. It has helped me to format...
I love the "accessible" to "discriminating" levelled questions. They are great for differentiation in the classroom - especially as time in the IB classroom is so precious. Students start work at their own comfort level, discuss in...
The InThinking Maths website is a very beneficial and user-friendly online guide for IB teachers. You can get an answer to all of your questions. There are all sort of materials and support, many samples of course designs, explorations, exams, teaching...
17 March 2019
As they say, a picture (or a video, in this case) is worth a thousand words. The video here shows one way to use the spreadsheet on the TI-Nspire... more
19 Apr Tim Garry
descriptive statisticsThat's one of the tough aspects of IB maths exams - they are unpredictable. Which I think is a good thing, because it requires students to do some problem solving and strategizing - and not just answer routine familiar questions. There was...
18 Apr Benson Wallace
descriptive statisticsThanks. I'm just looking at what to include with my current HL cohort at the moment. I'd say box plots are fairly unlikely on a HL paper also, correct?
17 Apr Tim Garry
descriptive statisticsHi Benson, It's possible there has been in the past, but personally I do not recall an exam question with a frequency histogram having unequal interval widths. It's the kind of thing that I cover if I have a little extra time b/c it can be...
16 Apr Benson Wallace
descriptive statisticsHi Tim, has there ever been a question on a HL paper about frequency density (ie histograms with unequal class interval widths)? I can't find any on Questionbank.
10 Apr Tim Garry
Start-of-Course AssessmentSharma, The start-of-course assessment and algebra refreshers could certainly be used to help a teacher determine if a student is properly prepared to be successful at HL level.
10 Apr S Sharma Sharma
Start-of-Course AssessmentCan we use this assesment and refreser for HL / SL selection
3 Apr Tim Garry
IA - ExplorationSandra, There is certainly no need to cite every formula. Where I think it is important for a student to provide a citation is when they carry out some mathematical working that they did not completely figure out themselves. If they use an...
3 Apr Sandra Fernandes
IA - ExplorationThank you :) Another question... Does a student have to cite every formula he uses? Even if they were taught in the lesson or are in the booklet?I assumed not, but now I am not confident enough about that. Thank you!
31 Mar Tim Garry
IA - ExplorationSandra, Good questions. Yes to both. Moderators expect to see written comments by teachers on the student Exploration providing some rationale for marks awarded for different criteria. Also, moderators like to see a checkmark next to students'...
31 Mar Sandra Fernandes
IA - ExplorationHi Tim, When marking the IAs, it's ok to have a summary in the document with the grade we gave to each descriptor and a brief explanation? Also can we leave comments throughout the IA? Thanks, Sandra
28 Mar Tim Garry
SL Problem of the DayKrishnendu, Thank you for pointing out my error in the solution of SL Problem 143. I've corrected it and have uploaded a version 2 of the problem above. Thank you for your feedback.
28 Mar Krishnendu Saha
SL Problem of the DayHello. In problem no. 143, the value of x cannot be 2.33 unit because in that case you will not be able to draw the triangle. ( 4+2.33 < 8 )