New IB teacher and IB student resources added I’ve just added a lot of new free content to support both students and teachers in the IB Mathematics course. This includes: Paper 3 Paper 3 resources: 13 full exploration questions with full markschemes. This is a selection of the Paper 3 investigations I’ve made over the […]
(Photograph: Photograph: WWL-TV, from The Guardian) Teenagers prove Pythagoras using Trigonometry The Guardian recently reported that 2 US teenagers discovered a new proof for Pythagoras using trigonometry. Whilst initial reports claimed incorrectly that this was the first time that Pythagoras had been proved by trigonometry, it is nevertheless an impressive achievement. I will go through […]
GPT-4 vs ChatGPT. The beginning of an intelligence revolution? The above graph (image source) is one of the most incredible bar charts you’ll ever see – this is measuring the capabilities of GPT4, Open AI’s new large language model with its previous iteration, ChatGPT. As we can see, GPT4 is now able to score in […]
The Perfect Rugby Kick This was inspired by the ever excellent Numberphile video which looked at this problem from the perspective of Geogebra. I thought I would look at the algebra behind this. In rugby we have the situation that when a try is scored, there is an additional kick (conversion kick) which can be […]
Creating a Neural Network: AI Machine Learning A neural network is a type of machine learning algorithm modeled after the structure and function of the human brain. It is composed of a large number of interconnected “neurons,” which are organized into layers. These layers are responsible for processing and transforming the input data and passing […]
Can Artificial Intelligence (Chat GPT) Get a 7 on an SL Maths paper? ChatGPT is a large language model that was trained using machine learning techniques. One of the standout features of ChatGPT is its mathematical abilities. It can perform a variety of calculations and solve equations. This advanced capability is made possible by the […]
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