Calculus
Calculus Exploration - Fetch
Can dogs do calculus? In his book, 'The Math Instinct' , Keith Devlin makes some convincing arguments about mathematical ideas that are inherently part of our nature and the nature of animals. In chapter...
Calculus
HL Slope Fields 5.15
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,...
Calculus
SL Calculus Concept
This is the first of three sections on differential calculus. This is significant branch of mathematics with lots of applications. It builds very nicely on other concepts in the course and those you are...
Statistics & Probability
SL Central tendency & spread
This topic could easily be overlooked as 'the basics' with the assumption that everyone knows how to do ti already. sure, most of these measures of central tendency and dispersion are likely to have been...
Statistics & Probability
SL Binomial Distribution
The Binomial distribution provides a useful, introductory model into many applications, in fields of study such as: The below two key conditions need to be met for the binomial distribution to be an appropriate...
Statistics & Probability
HL Type I & II errors 4.18
Teachers slides, student notes, practice and exam questions (with solutions), below.You need to feel confident with Hypothesis (1%, 5%, 10% significance level) testing before starting the below activities...
Statistics & Probability
HL Poisson distribution 4.17
The below slides provide a quick overview introduction to the historical applications within which the Poisson distribution was developed. You will need your calculators ready to help generate the Poisson...
Statistics & Probability
HL Hypothesis Testing 4.18
'Hypothesis testing answers the key question: Is the evidence convincing? ' Teaching requires an ability to empathise and understand the views and perspectives of a wide range of people. Marvel author,...
Statistics & Probability
HL Expected Values & Variance 4.14
On this page you can find the a set of IB style questions for this topic that covers 80 marks over the range of difficulty levels. Expected value & variance exam questions require knowledge of the Normal...
Statistics & Probability
HL Coefficient of determination(R²) 4.13
This topic follows on from Pearson's (r) Limitations and SL Spearman's Rank. To choose between competing mathematical models we need some measurement of their success in predicting the observed data. ...