Skip over navigation
Guide and features
Guide and features
Science, Technology, Engineering and Mathematics
Featured Early Years Foundation Stage; US Kindergarten
Featured UK Key Stage 1&2; US Grades 1-5
Featured UK Key Stage 3-5; US Grades 6-12
Featured UK Key Stage 1, US Grade 1 & 2
Featured UK Key Stage 2; US Grade 3-5
Featured UK Key Stages 3 & 4; US Grade 6-10
Featured UK Key Stage 4 & 5; US Grade 11 & 12
A Number Sequences Resource
Interactive investigations which result in number sequences
, students might be :
Appreciating the need to tabulate results
Formulating ideas and testing them out
Conjecturing about formulae that suggest themselves
Magic Potting Sheds
offers students the opportunity to explore a new environment and challenges them to use some deductive reasoning.
More Magic Potting Sheds
offers students the opportunity to go beyond the environment introduced in Magic Potting Sheds as the multiplying factor and the number of sheds can be increased to create a more challenging context.
As with Magic Potting Sheds before, it requires students to work systematically and challenges them to arrive at further generalisations.
is a well known puzzle but even if you have met it before you may find more mathematics in it this time round. You can solve it on the computer below or use a line of coloured counters or act it out getting some friends to play the roles of frogs and toads.
set of problems that encourage generation of sequences and finding the general term. The first problem includes some interactivities which highlight two important ideas
that there is more than one way to describe a pattern or relationship and that any "visualisiation" will generate an equivalent general term
when creating tables of outcomes and using them to helpdefinethe general term, it is important to look back at the original situation to make mathematical sense of the result.
Interactive help with summing simple number series
Sequences and series
you can investigate triangle numbers and their relationship to rectangle numbers.
More sequences and series
investigate how the sum of consecutive odd numbers can be represented as square arrays.
Ideas based on the Fibonacci sequence
This problem is about gnomons (not gnomes!) which are very remarkable mathematical L shapes. At the end of this question, it suggests that you look at the shapes of the gnomons for the alternate Fibonacci numbers and see what you notice.
Whirling Fibonacci Squares
with an accompanying spreadsheet that makes the connection between the Fibonacci Sequence and the Golden Ratio.
These two interactivites enable you to test your understanding of the proofs for summing arithmetic and geometric series
Sum of an AP
Sum of a GP
Meet the team
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
Register for our mailing list
Copyright © 1997 - 2014. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the
Millennium Mathematics Project