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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 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 DaySL Problem of the Day #160There 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 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. Sets of HL Review Exercisesnew set of 15 review questions (P1 and P2) for Algebra and Functions & Equations HL topic on Sets of HL Review Exercises pageThe SL(HL) Review Exercises are written primarily...
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 sequences & series► syllabus content for the Algebra Topic: SL syllabus (see syllabus section 1.1); HL syllabus (see syllabus section 1.1).Although it's interesting (and I would say worthwhile) to discuss sequences that are defined by recursive (or iterative) formulas - such as the Fibonacci sequence - the fact is that the only sequences/series...
Available ... Sample Paper 1 and Paper 2 mock exams for SL & HL→ 3 pairs (sets) of exams for both SL and HL ←Now available a full set of mock exams for Set C:SL Papers 1 & 2, and HL Papers 1 & 2There 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...
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 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 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 transformations of graphs ► syllabus content for the Topic: SL syllabus (see syllabus section 2.3); HL syllabus (see syllabus section 2.3)Transformations of graphs is one of those essential syllabus items that can appear in a variety of contexts - thus, it's very important for students to have a complete and fluent understanding of the following...
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...
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...
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...
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...
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
10 Dec Tim Garry
exponents & logarithmsOmolade, Thank you for bringing that to my attention. Both of the syllabus links are now fixed.
10 Dec Omolade Kadiri
exponents & logarithmsThe HL syllabus link is broken.
3 Dec Tim Garry
Exploration HL - Student GuideMichael, No, not a requirement; but advisable in my opinion. I think it's good practice to have at least 1.5 spacing, and mathematics generally looks better in a non-sans font like Times New Roman. Also, there has been many comments in recent...
3 Dec Michael Koivusalo
Exploration HL - Student GuideHi Tim, Is the font size 12, Times New Roman, 1.5 spacing a requirement? I've seen no mention in any guides from the IB. Thanks.
30 Nov Tim Garry
HL Problem of the DayWilliam, Thanks for feedback. Yes, you're right if you subtract the two pairs of terms in different order - i.e. u1-u3 and u4-u2 (or u1-u3 and u2-u4). In my solution I thought it was necessary to subtact in same order - i.e. u3-u1 and u4-u2...
30 Nov William Wong
HL Problem of the DayHi Tim, For HL problem #102, the sequence can be oscillating with r < 0. In this case, a = 27/4 and r = -1/3 also satisfy the conditions of the question, and give the sum = 81/16.
28 Nov Omolade Kadiri
exponents & logarithmsGot it! Brilliant! Thank you.
28 Nov Tim Garry
exponents & logarithmsOmolade, No - this question was Q.5 on May 2018 TZ1 HL Paper 1 (No calculator). The key to solving had more to do with recognizing that it's quadratic in terms of lnx than with logarithms. Bit tricky
27 Nov Omolade Kadiri
exponents & logarithmsThank you for replying Tim. :) I am new to teaching IB Maths HL. I guess that question (lnx)^2-(ln2)(lnx)
25 Nov Tim Garry
exponents & logarithmsOmolade, Thanks for your question. Not sure if you were asking about HL or SL. For HL the answer is "yes", for SL "maybe". HL syllabus item 2.7 indicates that students must be able to solve an inequality that could involve a range of different...
25 Nov Omolade Kadiri
exponents & logarithmsAre students required to know how to solve inequalities involving logarithmic functions?
21 Nov Tim Garry
exp & log functions & eqnsGarrett, Certainly getting answers for parts c & d to Q.6 on EXS_exponential_modelling worksheet above is trickier. I've displayed above (below teaching materials) a scrollable pdf showing my solution for Q.6 part (c). Same approach can be...