M1Maths |
Maths Assignments / Extended TasksThis is the beginnings of a collection of extended maths tasks on a range of topics at a high school level.In many cases they are accompanied by model worked solutions. They might be useful for practice, reinforcement of ideas or assessment. |
Levels | Topics | Summary | Download |
---|---|---|---|
Levels 2-4 | Calculations in an astronomy context | Arithmetical calculations and use of formulae. Could be used as a class activity or the basis of an assignment. | |
Level 3 | Enlarging shapes | Discovering rules for how lengths, areas and volumes of shapes change when the linear dimensions change. | |
Levels 3-4 | Rain | Various tasks on the theme of rainfall. | |
Level 6 | MacLaurin series, calculus, complex numbers | Generating MacLaurin series by repeated differentiation; application to complex numbers. | |
Level 6 | Combinatorics, number theory | Students flutter decks of cards of various sizes and investigate the number of flutters required to return he deck to the original order. | |
Level 6 | Calculus, air resistance, numerical methods | Students use numerical methods to calculate trajectories with and without air resistance. | |
Level 6 | Complex numbers, fractals | Students perform iterations of operations on the complex plane as an introduction to fractals. | |
Level 6 | Poker | Students calculate probabilities involved in a 6-card variation on poker. |
Background image: https://pixabay.com/illustrations/beach-background-sea-ocean-3892386/ (cropped) (Creative Commons licence) |