Infinite Infinity

This is primarily an enrichment topic, but also an extremely useful concept for students to encounter before integration/differentiation/calculus in general! The powerpoint is essentially a script that can just be read out loud, with the goal that no additional explanation or research is needed.

It’s a short trip through various thought experiments on the weird and wonderful world of infinity - physics teachers may wish to discuss the short prompts on slide 22 about whether we ever actually encounter infinity in real life. Primarily it supports an intuition around infinite series that add up to a finite number, how basic arithmetic differs with infinities and hopefully makes integrating between infinity and -infinity seem like a less daunting prospect!

Some of the presentation may be more engaging when narrated by the teacher without the slides visible to students. It captured the interest of many of my students, from GCSE down to a group of particularly advanced primary school students I shared it with!