These are the statements describing what students need to learn:
- understand and use the binomial expansion of (a + bx)n for positive integer n; the notations n! and nCr link to binomial probabilities. Extend to any rational n, including its use for approximation
- work with sequences including those given by a formula for the nth term and those generated by a simple relation of the form xn+1 = f(xn); increasing sequences; decreasing sequences; periodic sequences
- understand and use sigma notation for sums of series
- understand and work with arithmetic sequences and series, including the formulae for nth term and the sum to n terms
- understand and work with geometric sequences and series, including the formulae for the nth term and the sum of a finite geometric series; the sum to infinity of a convergent geometric series, including the use of |r| < 1; modulus notation
- use sequences and series in modelling
Click on a statement above for suggested resources and activities from Transum.
Featured Activity
Connect 4 Factors
A mathematical version of the popular Connect 4 game based on getting four numbers with a common factor in a line. Fun for one, two or a whole class of pupils.
Have you seen?
Not Too Close
The students numbered 1 to 8 should sit on the chairs so that no two consecutively numbered students sit next to each other. So far this activity has been accessed 53575 times and 662 Transum Trophies have been awarded for completing it.
