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8 to 10 November 2019
8 to 10 November 2019
8 to 10 November 2019
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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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This a problem often encountered in some upper secondary and university level mathematics textbooks. It asks what is the maximum length of a ladder (essentially a line segment) that can be moved around the corner between two corridors. Typically the problem specifies the widths of each corridor and that the angle between the corridors is 90 degrees. All three of these parameters (widths of corridor...
Here you will find a miscellaneous collection of problems that require some amount of insight and problem solving skills. The difficulty level varies quite a bit - and not all of them are at the level of mathematics contest questions - although certainly some are. None of these are past IB exam questions - and it is very unlikely that any Maths HL or SL exam question will look like any of these questions....
There are currently 385 problems (192 SL + 193 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 #193* this problem is appropriate for new Analysis & Approximations course (and HL calculus option)There are two growing sets of 'problems' (one for SL and another for HL) with new 'problems'...
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). challenge: What is the missing last number in the following sequence?\(10,\;\;11,\;\;12,\;\;13,\;\;14,\;\;20,\;\;22,\;\;101,\;\;?\)new HL Problem of the Day #192 (11 Sept 2019)Go here to download this problem...
new site coming (see below) ... The site for the new Analysis & Approaches course (SL & HL) will soon be available to all current and new subscribers (plan to launch by end of Sept.). With regard to the new Analysis course, check out my Analysis syllabus content and notes (v7) document below - and the Preparing for HL Paper 3 - Analysis page.new problems ... For problems being added to the...
This page contains several unit tests on calculus - differential calculus and integral calculus for both SL and HL. 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. I welcome feedback on any of these materials. Just submit a comment at the bottom of the page.New integral calculus test...
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)▪...
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...
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).It's absolutely critical that students have a firm understanding of the relationship between exponential expressions/functions and logarithmic expressions/functions. When covering this material it...
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...
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...
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...
1 September 2019
Here is a problem that I thought up (probably has appeared somewhere before but I have not seen it) which is presented in the GeoGebra applet... more
19 Sep Kalpana San
Mock ExamsThank you Tim
18 Sep Tim Garry
Mock ExamsHi Kalpana, InThinking offers two IB maths sites. This one is for Maths HL & SL (and soon I will also be launching a site for the new Analysis & Approximations course SL & HL); the other site is for Math Studies (and the editors of that site...
18 Sep Kalpana San
Mock ExamsDo we have any mock paper or practice paper for Studies??
16 Sep Tim Garry
new syllabus > new websiteHi Anam, Thank you for asking. Work on my new site for Analysis & Approaches is progressing but taking longer than anticipated (especially while also teaching my own classes). I plan to launch by the end of the month. I believe the Applications...
15 Sep Anam Manzoor
new syllabus > new websiteHi Tim, I hope you are well. Any update on the new websites?
15 Sep Robin Wang
implicit differentiation & related rates (HL)Sure will try this question in my class. Thanks Tim.
13 Sep Tim Garry
implicit differentiation & related rates (HL)Here is an interesting question for your students. Find any horizontal or vertical tangents to the graph of y=x^(1/3) [y=cube root of x]. There is a vertical tangent at (0,0) and the derivative is undefined at that point which makes sense since...
13 Sep Robin Wang
implicit differentiation & related rates (HL)If we have a look at the expression of the derivative it explains all. As dy/dx=(3y-x^2)/(y^2-3x) we get dy/dx=0/0 at (0,0) which is undefined. This is a good question though. Thanks for sharing these resources with us. It's much appreciated....
13 Sep Tim Garry
implicit differentiation & related rates (HL)Well, I doubt there would ever be an exam question like this b/c there is some ambiguity. Also, important to point out that x^3+y^3-9xy=0 is not a function; so, don't think formal limit definition of a tangent is going to apply. Strangely,...
12 Sep Robin Wang
implicit differentiation & related rates (HL)Hi Tim, Thanks for your reply. Yes, I agree with the point you made. But in this graph if y=0 can be regarded as the tangent line then x=0 can also be counted as one. If so there must exist two tangent lines at one single point (0,0) which...
12 Sep Tim Garry
implicit differentiation & related rates (HL)A tangent can intersect a graph - either at the point of tangency or elsewhere. For example the graph of y=x^3 has a horizontal tangent at (0,0) and some functions have tangents at inflection pts which intersect the graph. Thanks for your query.
11 Sep Robin Wang
implicit differentiation & related rates (HL)Hi Tim, with Q3(b) on the same worksheet, I don't think the gradient exists at (0,0) as the proposed tangent line y=0 also crosses the graph at (0,0).