Latest updates

Managing the Explorationfree20 July 2021

I have written a Student Guide for the Exploration (v9) which can be viewed on the Exploration Student Guide page. This page has been marked as 'student accessible' so the Exploration Guide can be shared... more

1A. Sequences & series intro (SN)free13 July 2021

Sub-sections on this page:1A.1 Basics1A.2 Finding the \(n\)th term1A.3 Using technology1A.4 Summary1A.5 Challenge questionA numerical sequence is a set of numbers listed in a specific order... more

Problem of the Weekfree6 July 2021

skip to the Problem of the Week list belowTo me, a 'problem' is a question where it is not initially clear how to begin writing a solution. The vast majority of questions that students are asked to answer... more

Triangle trig & applications22 June 2021

A significant portion of the Geometry & Trigonometry syllabus topic (especially SL) focuse on trigonometry - and a big part of the trigonometry content involves what I would refer to as "triangle" trigonometry.... more

Mock Examsfree14 June 2021

* Updates *25 March 2021: A second HL Paper 3 mock exam (MockB) with worked solutions has been posted on the Sample Mock Exams page.21 March 2021: A table with suggested grade boundaries for the Paper... more

Integration basics7 June 2021

When first teaching integration, I think it is helpful to look back at differentiation and try to impress upon students that differentiation is basically about finding rates of change, and that integration... more

Maclaurin series HL (TN)free31 May 2021

HL syllabus content: Maclaurin series; use of simple substitution, products, integration and differentiation to obtain other series; Maclaurin series developed from differential equations (AHL 5.19) more

Sample Mock Exams18 May 2021

Important: In an effort to maintain security and value, please do not share any of my mock exams - either digital or paper copies - with anyone outside of your school's mathematics department. Thank you. more

Mclaurin polynomials applet13 May 2021

Here is a Geogebra applet which produces and graphs the \(n\)th degree Maclaurin polynomial (up to \(n = 10\)) for an entered function. more

5. Calculus10 May 2021

The Calculus topic has the largest number of suggested teaching hours of the five syllabus topics: 28 hours for SL (just one hour more than the Statistics & Probability topic at SL) and 55 hours for HL... more