InThinking Subject Sites
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Forthcoming Workshops
Mathematics: Application & Interpretation
IBDP Category 1
Lisbon, Portugal
8 to 10 November 2019
more info
Mathematics: Analysis and Approaches
IBDP Category 1
Lisbon, Portugal
8 to 10 November 2019
more info
Mathematics: Implementing the MYP curriculum
IBMYP Category 1
Berlin, Germany
8 to 10 November 2019
more info
Find all InThinking Workshops at www.inthinking.net
Site Author
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, 18501891)
Resources
Textbooks for Mathematics HL and Mathematics SL
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 ebook (accessed through a website) containing a complete digital copy of the text along with numerous additional material.
School visits
If you are interested in Tim Garry visiting your school to work with teachers and/or students, please contact us.
Home2Home
The vacation home exchange service for the IB community.
Feel at home when you travel the world.
www.home2homeinthinking.co.uk
Recommendationsmore
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, wellformatted resources  including notes, assignments, assessments, and interesting student pages. Absolutely...
The InThinking Maths website is a very beneficial and userfriendly 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...
Blogsee all
Problem: find exact ratio of areas
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
Probability  Complement Approach
1 June 2019
Question: Two fair sixsided dice are rolled. What is the probability that at least one of the dice shows a five facing up? more
Subscriber comments

Thank you Tim

Hi 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...

Do we have any mock paper or practice paper for Studies??

Hi 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...

Hi Tim, I hope you are well. Any update on the new websites?

Sure will try this question in my class. Thanks Tim.

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...

If we have a look at the expression of the derivative it explains all. As dy/dx=(3yx^2)/(y^23x) 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....

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^39xy=0 is not a function; so, don't think formal limit definition of a tangent is going to apply. Strangely,...

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...

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.

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).