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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.
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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).Admittedly, the title of this page "solving other equations" is not the clearest description of this particular syllabus item - so let me clarify. This refers to the solution of equations 'other'...
There are currently 400 problems (200 SL + 200 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 #200There 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...
Quick links:► downloadable teaching materials for polynomial functions & equations► syllabus content for the Functions & Equations Topic: HL syllabus (see syllabus section 2.5).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...
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)new Complex Numbers Test posted 31 Oct 2019 in Teaching Materials at bottom of page: Test3_HL_complex_nmbrs_v1 with worked solutions. No GDC is allowed for any of the questions on this test.complex number vs imaginary numberToo many textbooks...
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 the course. I'm happy to post below my Analysis-teaching plan v5. Please understand that in my Teaching Plan the list of course units (SL & HL), the sequence in which they are...
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 TestsThis 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...
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?\(10,\;\;11,\;\;12,\;\;13,\;\;14,\;\;20,\;\;22,\;\;101,\;\;?\)[click on 'eye' for answer]answer: 1010each number has a value...
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)▪...
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 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...
Great site. Dense with great ideas and useful printable student material. It has added an extra dimension to my teaching and given me several successful plan B options. Well done Tim.
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...
30 October 2019
I have put a few notices on this site over the past couple of months indicating that the new website for the new Analysis &... more
13 Nov Tim Garry
solving other equationsHakan, Thanks for finding this error. The correct answer to Q.8 in EXS_2-7(6) exercise set is approximately 1.29 (your answer). I've corrected the exercise set and uploaded it above (version 2). Thanks, Tim
13 Nov Hakan Kurt
solving other equationsDear Tim, Is the answer of the question 8 x=1.29?I can't get x=1.75. Thanks Hakan
13 Nov Beena George
Teaching UnitsHi Tim Do you have detailed IB Math SL or HL unit planners to share with us? Thanks Beena George
12 Nov Raymond Obonyo
integration by substitution / by partsgud
11 Nov Tim Garry
triangle trigonometry & applicationsHi Suzhen, Yes, you are correct. I neglected to give the 2nd possible answer for angle ABC (two answers because it is an example of the ambiguous case). So, as you stated, two possible answers: 37.6 degrees or 142 degrees (3 significant figures)....
11 Nov Tim Garry
new syllabus > new websiteHi Omneya, Thanks for the question. New site for the Analysis course will launch next week.
11 Nov omneya taha
new syllabus > new websitehi Tim when are you going to launch the new site for the AA ?
8 Nov Suzhen Wen
triangle trigonometry & applicationsHi, Tim. Q1 on 4 questions - ‘accessible’ to ‘discriminating’ should has two possible answer: 37.6 degree and 180-37.6=142.4 degree.
7 Nov Jarod Martin
HL Problem of the DayDefinitely. Thats what I though but I wanted to make sure.
7 Nov Tim Garry
polynomial functions & eqns (HL)Suzhen, Thank you for your feedback. You are correct, the answer to #8 on EXS_2-5-30v1 should be -2, not 2. And, there is something incorrect for #7. I will make a correction soon and post it here. Thanks very much for pointing these out.
7 Nov Tim Garry
HL Problem of the DayJarrod, Excellent question. I was taught (and I teach my students) that whenever differentiating or integrating trigonometric functions then the functions must be evaluated using radians because radian measure is 'unitless' (it's just a ratio)...
7 Nov Jarod Martin
HL Problem of the DayCan you help in problem #160? When we plug in 60 degrees or pi/3 we get teh same answer for the first step. How do we know our answer is in radians/ hour and then have to convert?