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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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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 lines & planes in space (vectors)► syllabus content for the Vectors Topic: HL syllabus (see syllabus section 4.7 ).Course planning / teaching notes:A significant difference between the syllabus content for the Vectors topic in SL and HL is that planes are not included in SL. Lines in 2D and 3D are in both SL and HL. However, in SL only the...
My growing set of problems for the Problem-of-the-Day section of this site now contains a total of 400 problems (each with a worked solution) - 200 SL problems and 200 HL problems. This milestone comes at a time when the launch of the new site for the Analysis & Approaches (SL & HL) is just about to occur. Even with the new site, I will continue to add new problems to the SL PotD and HL PotD...
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'...
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...
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 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 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)▪...
Four 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 for each exam.New original specimen papers (SL & HL) will be appearing in the near future for the Analysis &...
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)It's very important for students to have a complete and fluent understanding of the following types of transformations that can be applied to the graph of a function: ▪ translations - horizontal &...
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...
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...
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.
14 November 2019
My growing set of problems for the Problem-of-the-Day section of this site now contains a total of 400 problems (each with a worked solution)... more
Q.7: (a) A(1,2,1) and B(0,2,2), so AB=(-1,0,1). Goes thru origin (0,0,0), so vector equation is r=(0,0,0) + t(-1,0,1); or just r=t(-1,0,1) same process for parts (b) and (c). Hope this helps. cheers, Tim
Q.5: point P is (2,-1,3) and point R is at (6,5,1). So, midpoint of PR is (4,2,2). Vector equation of line is (x,y,z)=(4,2,2) + t(5,-3,1). So, midpoint (4,2,2) is on line; hence, bisector. Direction vector PR is (4,6,-2). Dot product of (5,-3,1)...
OK, one at a time. Q.3: gradient of vector in direction (2,-1) is -1/2; so perpendicular gradient is +2. Then equation of line is y-5=2(x-(-3)) which gives 2x-y=-11
18 Nov Jessica Breece
equations of linesCan you show the work for #3 5, and 7 on 1st worksheet please? thanks
18 Nov Notsile Dube
lines & planes in space (HL)Pleasure.
16 Nov Tim Garry
lines & planes in space (HL)Hi Notsile, You are correct. Although it does not affect the answer or the working shown in my solution key - line L (as given in the question) is not parallel to plane P. The direction vector for line L should be (1, 1, - 4), not (3, 1, -...
16 Nov Notsile Dube
lines & planes in space (HL)There is a mistake with Test1 HL question 6. The question is not possible to solve.
16 Nov Fred Iwalwa
Mock ExamsCan you send some papers for AASL for practice
16 Nov Beena George
Teaching UnitsDear Tim Thanks for your response to my question. Making a realistic and workable unit planner is a challenging task by itself.
14 Nov Tim Garry
Teaching UnitsHi Beena, Eventually I'd like to add some materials regarding the construction of unit plans - but I find this a 'tricky' area because there is a wide range of approaches in different schools to writing unit plans. The IB offers some unit plan...
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