In sheep talk the only letters used are B and A. A sequence of words is formed by following certain rules. What do you notice when you count the letters in each word?
Investigate the different ways you could split up these rooms so that you have double the number.
How many different journeys could you make if you were going to visit four stations in this network? How about if there were five stations? Can you predict the number of journeys for seven stations?
Can you beat the computer in the challenging strategy game?
Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?
How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?
The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21.... How many Fibonacci sequences can you find containing the number 196 as one of the terms?
Here are some circle bugs to try to replicate with some elegant programming, plus some sequences generated elegantly in LOGO.
Using logo to investigate spirals
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
Second of two articles about Fibonacci, written for students.
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
Leonardo who?! Well, Leonardo is better known as Fibonacci and this article will tell you some of fascinating things about his famous sequence.
Play around with the Fibonacci sequence and discover some surprising results!