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Applications SL Scheme of Workfree8 March 2019

The design and elements of the course actually allow for a good deal of creativity in designing a course. For that reason, I can see a number of useful schemes of work where teachers vary according to... more

N & A New Syllabus 2019free17 March 2019

The new Mathematics: Applications and Interpretation syllabus is out and published on the IB website. Log in to your MyIB account and head to this link . It is a new course with a new name and renewed... more

Functions - New Syllabus 2019free8 March 2019

The new Mathematics: Applications and Interpretation syllabus is out and published on the IB website. Log in to your MyIB account and head to this link . It is a new course with a new name and renewed... more

G & T Practice15 September 2019

This page has a variety of tasks designed for practise and revision. Practice questions are an important part consolidating students' understanding of a concept. They can be found from numerous sources... more

Functions Practice3 October 2016

This page has a variety of tasks designed for practise and revision. Practice questions are an important part consolidating students' understanding of a concept. They can be found from numerous sources... more

Financial Mathematics26 September 2016

This is one of the most obviously relevant parts of the course and from my experience, students show an appreciation for that. That said, very few students are actually involved with borrowing and investing... more

Focus - Arithmetic Sequences27 September 2018

Arithmetic sequences, those where each term differs from the previous by the same common difference, are a key conceptual element of the course. Strongly linked with linear growth, this important idea... more

Focus on - Geometric Sequences26 September 2016

The Geometric sequence is a fundamental bit of mathematics that is an inherent part of exponential growth and decay. Their properties are simple in nature but they are often counter intuitive. The key... more

Statistics Practice18 August 2018

This page has a variety of tasks designed for practice and revision. Practice questions are an important part consolidating students' understanding of a concept. They can be found from numerous sources... more

SL Amortization and Annuities19 July 2019

The '2018 State of the Nation's Housing' report from Harvard university states that more than 1 In 3 households pay over 30% of their income in housing costs (rental or mortgage payments). Furthermore,... more

Applications HL Scheme of Work21 August 2019

The new HL syllabus covers 240 hours of lessons (including the 30 hours of "mathematical toolkit"). There is a lot of new material in the applications course - how much is new will depend, at least to... more

The Normal Distribution2 May 2018

The normal distribution is a fascinating, naturally occurring phenomenon that has very relevant applications to understanding the world around us. When a data set is normally distributed it has some key... more

Focus on Non-right angle trigonometry4 February 2018

Here we take trigonometry to the next level by working with triangles that do not have a right angle. We will work on three key rules. The Sine rule, the Cosine rule and the formula for th area of a triangle.... more

L, S & P Practice27 January 2019

This page has a variety of tasks designed for practise and revision. Practice questions are an important part consolidating students' understanding of a concept. They can be found from numerous sources... more

Exponentials & Logarithms practice22 September 2019

The following questions are designed just to practice some of the fundamentals of working with exponentials and logarithms. more

Number & Algebra22 September 2016

'A guide for for teaching! Ideas and resources and lessons to look forward to'This page is good for the 'Number and Algebra' units from both the new and previous syllabi! There is also a sub-section for... more

New Syllabus9 June 2019

The time is approaching! What do you need to know and how are we helping?You can now find the guides for the the two new mathematics courses on MYIB at this link (you will need your password for access).... more

Focus on correlation and regression7 November 2018

The search for meaningful relationships between two variables. Here we take the leap from 1 variable to 2 variable data analysis. In any given survey we collect data for a number of 'items' surveyed.... more

Focus on - Quadratic Models3 October 2016

Quadratic functions are those in the form f(x) = ax2 + bx + c, and have fascinated mathematicians for centuries. They have some fundamental properties that will explored in this unit. Probably the best... more

Logarithms - Exam Style Questions23 September 2019

The following questions are designed to give you experience of the style of questions you are likely to find in your final IB Applications and interpretation exam. more

Resources for Revision10 October 2016

Obviously this is a crucial part of any exam program and over the year I have tried lots of different ideas. On this page you will find ideas about when and how revision can be offered and some recources... more

SL CORE30 June 2019

The following simply lists the parts of the syllabus that are in the core.Number & AlgebraFunctionsGeometry & TrigonometryStatistics & ProbabilityCalculus more

Mock Exam14 April 2018

'A paper students have not seen before'This page offers two whole exam papers that students will not have seen before. As I teacher I find I can never have enough practice of exam style questions and... more

Focus - Chi Squared26 September 2016

The chi squared independence tests is a widely used technique for looking for a relationship between variables that are categorical. We can use a scatter graph to look for a relationship between GDP and... more

Focus on Probability1 June 2019

Possibly the most relevant, useful and appropriate part of any mathematics course in schools! Everyone has an intuitive understanding of probability at its most simple level, but it is amazing how short... more

Meeting Functions12 December 2017

'Get to the heart of what functions are about by matching these inputs, equations and outputs together - a 'simple' matching activity!'Its easy to study functions at this level and forget what they are... more

SL Investment Intuition - Compounding19 July 2019

Sometimes our intuition/gut feeling for numbers can lead us astray.What's the best way your parents could help to make your life easier? I'm sure you can think of many ways. . ! One way would be to invest... more

G and T - New syllabus 2019free8 March 2019

The new Mathematics: Applications and Interpretation syllabus is out and published on the IB website. Log in to your MyIB account and head to this link . It is a new course with a new name and renewed... more

Volume and Surface Area15 September 2019

This section is all about the volume and surface area of prisms, cylinders, pyramids, cones and spheres! All of these shapes has their own unique properties and this section is about understanding and... more

Stats - New Syllabus 2019free8 March 2019

The new Mathematics: Applications and Interpretation syllabus is out and published on the IB website. Log in to your MyIB account and head to this link . It is a new course with a new name and renewed... more

Focus on SOHCAHTOA18 September 2016

This part of trigonometry can be seen in the recurring relationships between the sides of right angles triangles. The relationship means that we can use two bits of information about a triangle to work... more

Calculus Practice27 January 2019

Practice questionsThis page has a variety of tasks designed for practise and revision. Practice questions are an important part consolidating students' understanding of a concept. They can be found from... more

Percentage Error23 September 2016

'Percentage Error - Wrong, but how wrong? How do we judge the significance of an error?'Given that the vast majority of descriptive numbers are rounded and/or estimated its really worth stopping to think... more

Focus on - Exponential models1 July 2018

The exponential function is set apart from other families of functions because of the fundamental impact of having the variable in the exponent. It stops being a multiplier and starts being more 'powerful'... more

Half My Age29 September 2016

'How many times will you be half the age of one of your parents? A look at modelling with functions'On his 20th birthday a man realizes that he is now exactly ½ the age of his Mother who is 40. This... more

Modelling World Population Growthfree29 September 2016

How has the World's population been changing?Page under constructionMathematical models are thrown about all over the place but they are often difficult to understand. They actually underpin a huge amount... more

Focus - Sets of numbers26 September 2016

This topic is about the the 4 key sets and subsets of our number system. This as fundamental bit of mathematics that can be easily lost if not covered properly. Students need to explore the notion of... more

Marked Projectsfree16 December 2018

The aim of these pages is provide some examples for teachers of projects that have been completed, the marks they were awarded and the justification for those marks. The more such examples we have seen,... more

Statistics26 September 2016

'A guide for for teaching! Ideas and resources and lessons to look forward to'This page is good for both the 'Descriptive Statistics' and 'Statistical Applications' units in the new syllabus and the 'Statistics'... more

Geometry & Trig29 September 2016

'A guide for for teaching! Ideas and resources and lessons to look forward to'This page is good for the unit with this name in both the new and previous syllabi!This is a big, key topic in the syllabus... more

G & T Teaching Ideasfree27 September 2016

Here you should find a wealth of resources that can be used by you and your students for teaching this topic. The resources at the top of the page are activities and investigations aimed at creating a... more

Student writing guide5 October 2016

This section offers students advice and guidance for writing their projects. This can be tricky for teachers. We have to walk the fine line between offering students constructive and supportive advice... more

In The Money23 September 2016

'Seconds to make up your mind! - Have fun with this hypothetical problem of sequences'A long lost relative wants to share their fortune with you! There are 4 different options about how to receive your... more

New Internal Assessment - a Comparisonfree22 August 2019

The below, and linked pages, aims to help Studies teachers understand the similarities and differences between the current Studies 'Projects' and the current (to be updated once the 'new exploration criteria'... more

SL Core together30 June 2019

It was always a key part of the new course design to include a core element of the course that was common to both the applications and the analysis route. This is recognition of some of the core skills... more

SL Voronoi Diagramsfree15 August 2019

In a volcanically active region (like the island of Montserrat), which place is the furthest away from all existing volcanoes? (and hence, possibly, the safest place to live).Which areas of the city are... more

Paper 110 October 2016

A bullet point description of paper 1The following outlines how accuracy is examined to the best of my understanding. A new ruling on accuracy was brought into play in November 2011. A principle reason... more

Measuring Gradientsfree4 October 2016

'Measure gradients and see for yourself the relationship between a function and its gradient'This activity is all about collecting and analysing some results for yourselves. Technology allows us to do... more

Curriculum Review and 2019free7 November 2018

Many of you will know that the IB diploma program has a review policy that means it reviews its curriculum every 7 years. The goal is to make sure that the curriculum evolves with demands and it is, for... more

Arithmetic Sum1 October 2018

'Use cubes to do a lovely proof of the sum of an arithmetic sequence!'You need to know how to use and apply the formula for the sum of an arithmetic sequence but here you can go one better by understanding... more