IB Maths Resources from Intermathematics
IB Maths Resources: 300 IB Maths Exploration ideas, video tutorials and Exploration Guides
https://www.youtube.com/watch?v=etMJxB-igrc The Van Eck Sequence This is a nice sequence as discussed in the Numberphile video above. There are only 2 rules: If you have not seen the number in the sequence before, add a 0 to the sequence. If you have seen the number in the sequence before, count how long since you... Continue Reading →
Sequence Investigation This is a nice investigation idea from Nrich. The above screen capture is from their Picture Story puzzle. We have successive cubes - a 1x1x1 cube, a 2x2x2 cube etc. The cubes are then rearranged to give the following shape. The puzzle is then to use this information to discover a mathematical relationship.... Continue Reading →
The Telephone Numbers - Graph Theory The telephone numbers are the following sequence: 1, 1, 2, 4, 10, 26, 76, 232, 764, 2620, 9496... (where we start from n=0). This pattern describes the total number of ways which a telephone exchange with n telephones can place a connection between pairs of people. To illustrate this... Continue Reading →
This is another interesting maths sequence puzzle: When x = 1, y = 1, when x= 2, y = -1, when x = 3, y = 1, a) if when x = 4, y = -1, what formula gives the nth term? b) if when x = 4, y = 3, what formula gives the... Continue Reading →
This is a really nice puzzle we looked at at the IB HL workshop: When x = 1, y = 1, when x = 2, y = 2, when x = 3, y = 3 but when x = 4, y does not equal 4. Find a sequence which describes these points. There are... Continue Reading →