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24 to 26 August 2018
24 to 26 August 2018
24 to 26 August 2018
Find all InThinking Workshops at www.inthinking.net
Tim Garry is the site author and has taught mathematics from middle school to university since 1984 and been Head of Maths at three international schools. He's also been an IB examiner for external & internal assessment, contributor to IB curriculum reviews & Maths HL exam writing teams, delivered numerous workshops & co-authored IB maths textbooks (see below).more
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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Extended Essay - first assessment 2018The assessment regime for extended essays has changed and a new set of assessment criteria will be applied to extended essays starting in May 2018. Please see the page Extended Essay Criteria (2018) for a closer look at the new assessment approach for extended essays with a focus on essays in mathematics. Also see the page Advice - Maths Extended Essays that has...
Extended Essay advice for mathematicsrevised for assessment starting in May 2018 Brief adviceI would prefer not to be negative at the start, but it’s a fact that it is quite easy for a student to write a poor extended essay in mathematics. Here are some of the most common ‘errors’ or ‘problems’ which seriously weaken a mathematical extended essay.1. The quantity and sophistication...
The graphic below attempts to illustrate the change in assessment criteria for extended essays from before May 2018 (11 criteria, A-K) to what will be applied to essays from May 2018 and onwards (5 criteria, A-E). [I wish to thank David Ripley, site editor for the IB English B website]Below this graphic is a more detailed discussion for each of the five new criteria - especially in relation to mathematics.Detailed...
There are currently 245 problems (123 SL + 122 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 #122There 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 probabilities of events► syllabus content for the Statistics & Probability Topic: SL syllabus (see syllabus sections 5.5 & 5.6 ); HL syllabus (see syllabus sections 5.2-5.4 ).This section of the syllabus concerned with the probabilities of events (I sometimes also refer to this section as general probability) has some overlap with the other...
Quick links:► downloadable teaching materials for probability distributions► syllabus content for Statistics & Probability Topic: SL syllabus (see syllabus sections 5.7, 5.8 & 5.9); HL syllabus (see syllabus items 5.5, 5.6 & 5.7).It is definitely better to teach probability distributions after teaching statistics (descriptive statistics) and probability (probability of events). In...
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 ample practice in solving...
Available ... Sample Paper 1 and Paper 2 mock exams for SL & HLNew HL Paper 1 Mock Exam (set C) - with worked solutions - has been posted at sample mock exams pageNew Paper 1 + Paper 2 Mock Exams for Maths SL (set C) - with solution keysAlong with two sets (A & B) of original Maths HL mock exams, I've recently created a 3rd set (set C) of orginal SL mock exams (Papers 1 & 2). Go here...
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 Key) available as a separate document. Calculus Tests Test1 SL - Differential Calculus [ 4 questions with no GDC, and 4 questions with GDC allowed ] syllabus content on test: finding derivative from first principles; derivative...
► downloadable teaching materials for Calculus HL option In the previous Maths HL syllabus this HL option topic was entitled Infinite Series and Differential Calculus - and this title is still a reasonable description, especially if you add the word "Calculus". So, although this HL option is now called simply "Calculus", I think that it would be better described as "Differential...
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...
Below are sets of review exercises for Maths SL. These sets of exercises are also useful for reviewing content in the Maths HL core syllabus. Some cover certain sections of the SL syllabus content, and others have exercises from all parts of the SL syllabus All of the exercise sets contain either answers for all of the exercises or full worked solutions for all of the exercises. Review_Qs_Intro_Diff_Calc1_SLHL...
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).complex number vs imaginary numberToo many textbooks imply that the phrases "complex number" and "imaginary number" mean the same thing - but they do not. Any number in secondary mathematics is complex - being either...
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...
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.
18 January 2018
Prime numbers are fascinating, mysterious and useful. The topic of prime numbers can pop up in a maths lesson at many different ages and ability... more
30 December 2017
Over the years, I’ve got the impression that students are as fascinated with Pythagorean triples as they are with prime numbers. Many mathematical... more
24 Apr Tim Garry
Advice - Maths Extended EssaysRosa, Thanks for your query. I had been working on revising the information and advice for the extended essay on my site given the new guide and assessment criteria. See that I have revised this 'advice' page; I've also revised my main EE page;...
20 Apr Rosa Carbajal
Advice - Maths Extended EssaysHi, I am also doing supervising for the first time and I could use all the help I can get. Please let us know when this will be updated or if the information is still valid. Thank you in advance!
16 Apr Medhat Merabi
Mock ExamsThank you and much appreciated
16 Apr Tim Garry
Mock ExamsMedhat, Good question. I started working on one - but have not managed to finish it yet. I hope to get one up early next week. Hope that's OK for you.
15 Apr Medhat Merabi
Mock ExamsDear Tim, Are there any plans for an HL papers 2?
10 Apr Tim Garry
probability distributionsRhiannon, Yes, you're right. Thanks for finding that. I've corrected it above. Thanks for your feedback.
10 Apr Rhiannon Schwehm
probability distributionsIn question 3 from accessible to discriminating, should 3a specify that the group has 10 people?
7 Apr Tim Garry
complex numbers (HL)Elizabeth, I somehow messed up entering that question. It had a very messy answer. The right side of the equation should have been 1+8i and answers should be x=2, y=1. I've changed it and have uploaded a corrected version 2 of the exercise...
7 Apr Elizabeth Heudebourg
complex numbers (HL)Hi Tim: I might be missing something, but I can't get 2a of EXS_1-5-35v1_HL_complex numbers to work. Can you shed some light on the problem? Many thanks, Elizabeth
2 Apr Tim Garry
integration basicsJoanne, Your answer is correct - and my answer is wrong. Thank you very much for spotting this error. Don't know how I messed up a fairly easy question. Thanks for your feedback.
2 Apr Joanne Rancourt
integration basicsHi Tim, for question #1 (integration basics) I am getting t^2/4-cost+5. Regards.
28 Mar Tim Garry
Mock ExamsHolly, Thanks for pointing out missing negative for answer to MockC SL P2 Q5(b). I've corrected that. Appreciate the feedback.