Resources by Carom Maths
Displaying 21 - 30 of 43
Perfect and Mersenne Numbers
Carom Maths provides this resource for teachers and students of A Level mathematics.
In this presentation the definition of a perfect number is explained and students are challenged to show that 496 is a perfect...
Quadratic Reciprocity
Carom Maths provides this resource for teachers and students of A Level mathematics to explore aspects of the subject which may not normally be encountered, to encourage new ways to approach a problem mathematically and to broaden the range of tools that an A Level...
Repunits
Carom Maths provides this resource for teachers and students of A Level mathematics.
A repunit, which stands for repeated unit, is a number like 11, 111, or 1111 that contains only the digit 1 and extends to number bases other than base ten. This presentation challenges students to prove that any repunit...
Siders
Carom Maths provides this resource for teachers and students of A Level mathematics.
A motif, seen on the floor of a cafe, prompts an investigation into whether or not it is possible to use the kite shapes to form an exact polygon and leads to some interesting discoveries.
The resource is designed to...
Tangles
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation describes the concept of Tangles, which were the idea of John Conway. Students are given some rules from which they create the tangle representing 2/5, before creating their own tangle numbers for others to...
The ABC Conjecture
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation begins by introducing students to the technique used to find the radical of an integer before progressing to the ABC conjecture, which is recognised by mathematicians as being an important unsolved problem...
The Cross-ratio
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation looks at the theorem of cross-ratio, of four complex numbers, which is of great interest in a field of mathematics known as projective geometry and has an ancient history.
The activity is designed to...
The Distribution of Prime Numbers
Carom Maths provides this resource for teachers and students of A Level mathematics.
In this activity the distribution of prime numbers, proved by Hadamard and de la Vallée Poussin in 1896, is investigated using an Excel spreadsheet program, Autograph and the Prime Number Theorem.
The resource is...
The Four Colour Theorem
Carom Maths provides this resource for teachers and students of A Level mathematics.
Colouring maps, so that no two countries sharing a border are shaded with the same colour, is the focus of this presentation, which includes both the history and mathematical proofs to this problem.
This activity is...
The Game of Life
Carom Maths provides this resource for teachers and students of A Level mathematics. The Game of Life is a simulation of how a population might grow, if subject to a few simple rules. Initially students try the rules out for themselves on squared paper, before following a link to a computer program that shows the...