'Mail jonny' presentation slideshows

Activity 2-16: Triominoes

www.carom-maths.co.uk. Activity 2-16: Triominoes. Take a blank chessboard. What happens if we try to cover this with triominoes ?. 64 = 3 x 21 + 1. So if we can fit 21 triominoes onto the board, then there will be a one square gap . Is this possible?.

311 views • 23 slides

Activity 2-20: Pearl Tilings

292 views • 16 slides

Activity 2-18: Zeroes of a Recurrence Relation

www.carom-maths.co.uk. Activity 2-18: Zeroes of a Recurrence Relation. We all know the Fibonacci sequence, . 1, 1, 2, 3, 5, 8, 13. We can write this as u n+1 = u n + u n-1 , with u 1 = 1, u 2 = 1 . So the next term is the sum of the previous two,

258 views • 14 slides

Activity 2-4: What are you implying?

www.carom-maths.co.uk. Activity 2-4: What are you implying?. You are given these four cards: . Each of these cards has a letter on one side and a digit on the other. This rule may or may not be true: if a card has a vowel on one side, then it has an even number on the other.

228 views • 13 slides

Activity 2-10: Triangle Centres

www.carom-maths.co.uk. Activity 2-10: Triangle Centres. Take any quadrilateral. Is it possible to draw a circle through the four vertices?. Clearly this is not always possible. It turns out that s uch a circle is possible if and only if

227 views • 12 slides

Activity 2-9: Quadratic Reciprocity

www.carom-maths.co.uk. Activity 2-9: Quadratic Reciprocity. Modulo arithmetic is a helpful way to look at the properties of numbers. . We say a ? b (mod c) if c divides a - b . Another way of putting it is that both a and b have the same remainder when divide by c . .

616 views • 12 slides

Activity 2-7: The Logistic Map and Chaos

www.carom-maths.co.uk. Activity 2-7: The Logistic Map and Chaos. In maths, we are used to small changes producing small changes . . Suppose we are given the function x 2 . . When x = 1, x 2 = 1 , and when x is 1.1, x 2 is 1.21.

250 views • 12 slides

Activity 2-3: Tangles

208 views • 10 slides