*InThinking*

Innovative

International

**Disclaimer**:
*InThinking* subject sites are neither endorsed by nor connected with
the International Baccalaureate Organisation.

### Forthcoming Workshops

#### Keys to success: DP Mathematics IA - the Exploration

Virtual Think-In, 4 - 5 May 2021

more info

#### Mathematics: Applications & Interpretation

IB DP Category 1

Online (IB Approved)

3 - 5 September 2021

more info

Find all *InThinking* Workshops at www.inthinking.net

### School visits

If you are interested in **Oliver Bowles**, **Jim Noble** & **Cornelia Noble** visiting your school to work with teachers and/or students, please
**contact us**.

# Most popular

### HL Paper 317 July 2020

Below is a full, example HL Paper 3. It consists of two questions in a "closed" investigation format, both of which must be attempted.A graphics display calculator (GDC) is required for this paper.The... more

### HL Paper 3B17 January 2021

Below is a full, example HL Paper 3. It consists of two questions in a "closed" investigation format, both of which must be attempted.A graphics display calculator (GDC) is required for this paper.The... more

### Internal Assessment Center - For students24 May 2020

Everything you need to successfully navigate the Internal Assessment process!At 20% of your final grade, there is little need to persuade people how important this task is. You can make a big difference... more

### External Assessment16 November 2019

Below is a full, example Paper 1: short-response questions (3 to 9 marks).A graphics display calculator (GDC) is required for this paper.All answers should be given exactly e.g. \(\pi,\quad \sqrt { 2 } \), or to three... more

### Voronoi Diagrams - Exam style Questions7 March 2021

Here is a set of 100 marks to test your understanding of Voronoi diagrams. The solutons are embedded below. Teachers - we recommend that you you share this page or set it up as an assignment via Student... more

### Exam Advice25 March 2021

This page is a simple list of things that you can do and prepare for relating to exam technique. Small things that can make a big difference. We should all know that there are more things to life than... more

### Internal Assessment11 April 2020

Everything you need to successfully navigate the Internal Assessment process!At 20% of your final grade, there is little need to persuade people how important this task is. You can make a big difference... more

### HL Complex Electricity10 March 2021

As listening to music we love inspires us to persevere with the otherwise monotonous repetition that mastering an instrument (or sport) may require, being inspired by the applications of mathematics... more

### HL Mock Paper 1B28 March 2021

Below is a full, example HL Paper 1: short response questions (3 to 9 marks).All answers should be given exactly e.g. \(\pi,\quad \sqrt { 2 } \), or to three significant figures, unless stated otherwise in the question. more

### HL 5.18 - 2nd order differential equations18 February 2021

On this page you can find a set of IB style questions for this topic that covers 100 marks over the range of difficulty levels. There is a full et of solutions too. Use the questions as examples or set... more

### Human Development Index Exploration11 April 2020

Investigating relationships with Human Development IndexThis task is an opportunity to follow through a statistical investigation that will give you a chance to experience something like writing an Internal... more

### SL Chi Squared Tests25 June 2020

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

### Sinusoidal functions - practicefree12 April 2021

The following questions are designed just to practice some of the fundamentals of working with arithmetic sequences, generatings, working with generalisations for the nth term and finding the sum of a... more

### Binomial Distribution - Exam Style Questions15 December 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

### SL Sinusoidal models23 October 2019

This section is all about sine waves and various transofrmations of them. These stand out from the other functions because they are cyclical in nature. As such, they are good for modelling occurences... more

### SL T-test29 December 2019

In a mathematics test, you might find the average female scores are higher than the boys or vice-versa. It's costly, and time consuming, to take samples. Is there a way we could decide, from just one... more

### Assessment27 September 2020

Here we will have an automated directory to the probably two children pagesthis is a vast and growing section of the website aimed at helping students through the whole journey of the Internal Assessment... more

### Stats & Probability27 September 2020

This topic takes from the key ideas that many will have encountered previously, including presentation of data and measures of central tendency and spread on to more sophisticated techniques. We look... more

### Practice arithmetic sequences17 March 2021

The following questions are designed just to practice some of the fundamentals of working with arithmetic sequences, generatings, working with generalisations for the nth term and finding the sum of a... more

### Sinusoidal Functions - Exam style23 October 2019

The following is a growing selection of exam style questions about sinusoidal functions. We recommend that is students have access to computers then they complete these questions on blank paper for their... more

### SL Probability of eventsfree5 December 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

### Goodness of fit Practice19 November 2019

The following questions are designed just to practice some of the fundamentals of these tests. The focus is on understanding the key concept, when it is appropriate to do the test and how to carry out... more

### HL 5.14 Models & Variable Separation18 February 2021

On this page you can find a set of IB style questions for this topic that covers 100 marks over the range of difficulty levels. There is a full et of solutions too. Use the questions as examples or set... more

### SL Normal Distribution14 December 2019

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

### The Criteria11 April 2020

This page offers a summary of the criteria for teachers to think about and to help understand how they can be consistently interpreted. The nature of this task is always going to be subjective to some... more

### HL Unit Circle - Investigate19 February 2020

If you haven't been on a Ferris Wheel yet, you've probably seen one. Close your eyes, picture yourself 90m off the ground, level with the main axel of the Singapore Flyer, the world's largest Ferris Wheel... more

### HL Euler's Method12 July 2020

There is no "general solution” for all differential equations. As such, they are classified by whether they are “linear” or “non-linear”, the “methods” that can be used to solve them etc.... more

### Calculus5 March 2021

Here are the sub pages for this section. Each of them leads you to slide galleries to offer explanation, teaching activities and practice exercises and exam style questions.The new Mathematics: Applications... more

### Number & Algebra GDC3 April 2021

Video Tutorials/Activities for the TiNspire and Casio (HP Prime to follow . . . .).Below you will find links to a growing number of video tutorials (or key screenshots) on how to use your TiNspire or... more

### Number & Algebra27 September 2020

This is the parent page for all of the subtopics for the Number and Algebra unit of the course. The topic pages have all of the links to the teaching and learning resources you need!There are 3 main themes... more

### SL Linear models11 January 2020

Commonly seen in the form y = f(x) = mx + c where m represents the gradient/rate of change of the function and c is the y-intercept, where x = 0. These models are a fundamental bit of algebra that come... more

### SL Non right angled trigonometry1 March 2021

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

### Spearman's Rank Correlation Coefficient (rS)19 November 2019

The following exam style questions aim to give you an idea of what you can expect for this topic in your exams. You can print the page by choosing 'print this page' from the menu on the right OR you can... more

### Geometry & Trigonometry27 September 2020

This topic is where we tackle the ideas of shape and space on the course. Drawing on some fundamentals, there is an emphasis on general applications of trigonometry as well as an exploration of the Volume... more

### SL Volume & Surface area22 June 2020

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

### How is it marked?free24 May 2020

This page is designed to help you understand how your Internal Assessment will be marked. This is also a key part of understanding the nature of the task. The page will include a detailed description... more

### IA - Step by Step3 September 2020

Managing your Internal assessment from start to finishThis page takes you through the different stages of your Internal assessment experience from coming up with ideas, through identifying needs, planning... more

### SL Exponential models2 March 2021

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

### HL Rational Exponents & Log Laws1 March 2021

This is the natural extension from the SL Indices & Logs section and will take your understanding of index notation and logarithms and the relationship between them to the next level. You will review... more

### SL Indices & Logsfree14 October 2020

This sub topic is all about understanding how to express and work with numbers written in index form. As well, we will explore the inverse of indices and the basic concept of logarithms. This all draws... more

### Modelling World Population Growthfree17 November 2019

Mathematical models are thrown about all over the place but they are often difficult to understand. They actually underpin a huge amount of research and development in our world and it it is great to... more

### SL Scheme - Functionsfree16 November 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

### Which mathematics course?free27 October 2020

This page is designed for students and parents who are about to start or have just started the diploma program want to find out about the choices and the courses in detail so they can make an informed... more

### Logarithms - Exam Style Questions7 October 2020

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

### SL Standard Form, Accuracy & Estimation5 January 2020

This sub topic covers some of the key skills that will be needed through some of the other topics. Firstly, working with numbers in standard index form allows us to work efficiently with the extremely... more

### Site Updates11 March 2021

One of the major advantages of web based resources must be that they remain dynamic. Whilst we hope there is already a significant amount of very useful resources on this site, the advantage to subscribers... more

### HL 5.11 Definite Integrals18 February 2021

On this page you can find a set of IB style questions for this topic that covers 100 marks over the range of difficulty levels. There is a full et of solutions too. Use the questions as examples or set... more

### Functions27 September 2020

See the subsections belowThe 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... more

### HL Slope Fields14 May 2020

Conceptual overview: 'Slope fields' as an introduction to differential equations - what are they?Instead of starting with "data", plotting it, and finding which functions have a similar shape e.g. maximums,... more

### Maths Studies - Marked Projectsfree11 April 2020

This page is from the matsh studies site. As many of us will have to work to do to make the transition. These will be useful for comparison. The aim of these pages is provide some examples for teachers... more