Algebra
Online
Mathematics- Secondary
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
(Roughly in alphabetical order)
This novel site provides a range of 'ambigrams'; words that can be viewed in different ways, mostly involving rotational or reflection symmetry.
Part of 'Math Tips and Tricks', this site provides a long list of shortcuts to use when manipulating numbers in maths. There are practical examples for each rule which will prove useful. The site could be used as a starting point for discussion of why these rules work, involving development of algebraic reasoning.
This American site contains maths trivia and facts along with multiplication, division and squaring tricks.
Cornell
Theory Centre Math and Science Gateway: Fractals
Part of a wide-ranging set of mainly interactive resources and activities, including geometry, history of mathematics, definitions, permutations and combinations, this is one of many sites devoted to fractals.
The site is aimed at 9- to 12-year-olds and its quirky style should not be off-putting.
This site covers data collection, sampling, representation and probability through newspaper articles, each of which features a discussion and link to associated topics.
Clever
Games for Clever People
Covering mathematical games that can be used to describe numbers, the outcome of which can be entirely predicted given optimum strategy on the part of both players, this site contains interesting variations on familiar games. A resource perhaps for the more able, this site would be suitable for KS4 and A-level use.
An excellent practical demonstration of currency conversion for maths students.
With over 200 scientific constants and more than 300 equations you're likely to find that elusive formula.
This comprehensive site provides birth and death figures for Devon for 1991-1996. An excellent site for regional study, these pages can graph data or you can print it off in spreadsheet format.
Department
of Health: Health of the Nation
This site contains 'Health of the Nation' information from the Department of Health, covering national trends.
Dave's
Maths Page: Conic Sections
This is a very enjoyable resource base giving access to a large number of examples to illustrate statistical concepts. It enables the user to search quickly for a possible background story for almost any statistical technique. The stories introduce a subject and go on to suggest some ways to investigate it, including examples of diagrams derived from real data. It could be used as background to an investigation which must incorporate many different techniques. It is most appropriate for older students.
An interactive geometry freeware site. Dr Geo is a 785 KB zip download which gives an entertaining Acorn-style drawing package for a PC. Users from age 11 can explore shapes, angles, symmetry and transformations online. Information Technology is a useful way to explore the geometrical processes. Demos and macros are included and, as well as being fun, it is free.
Geometry, algebra and statistics are amongst the mathematical subjects explained on this site. Diagrams and formulae illustrate the mathematical theories. The scope is wide; formulae range from the most basic - calculating area - to much more advanced. A good site for the maths beginner.
Discover
Railtrack
This site includes journey planning for days out, downloadable lesson ideas,
a safety quiz, historical information from the National Railway Museum at
York and many other activities related to rail travel.
Eric’s
Treasure Trove of Mathematics
This site is an on-line mathematical encyclopaedia, containing an A-Z of everything you would ever want to know about maths. You need to know what you are looking for and the site does assume you have some prior mathematical knowledge.
The on-line version of the project aimed at offering curriculum support to very able children. The project offers support, advice and inservice training to teachers, and resources for mathematics clubs.
Frequently
Asked Questions in Mathematics
If there is a maths problem that is troubling you, then this is the place to look. Subjects range from the populist to the specialist. Find out about why there is no Nobel prize for mathematics and discover Fermat’s Last Theorem.
Thoroughly reviewing Fibonacci numbers and their application in real life, this site could be used to give background information on this particular sequence. It also generates further points for discussion or work in maths. It is more useful for teachers than pupils initially.
This site covers just about everything on fractals in a comprehensive and very readable way.
The many activities cover a variety of curriculum areas including maths and English, presented in a fun and challenging way.
Discussions of Einstein's Theory of Relativity.
Glossary
of Mathematical Mistakes
Mathematical myths and misunderstandings are often used in the media. Common mistakes, such as misusing probability and coincidence and the false interpretation of statistics, are explained here. This is an excellent site for understanding more about how maths is used in everyday life. There is also a comprehensive list of further reading if you want to delve deeper into the subject.
Covering GCSE English and Maths, this award-winning site offers useful advice to students in the form of tutorials, exam techniques, handy tips, etc. and is applicable to the full range of syllabuses. Attractively designed and frequently updated, it also acts as a guide to the GCSE syllabuses. Desirable as a back-up for parents and students at home looking for further information about their course.
This website from the BBC is part of the first ever multimedia GCSE revision package, which incorporates TV, books and the internet. Covering the core subjects, this interactive website allows students to revise the main concepts in bitesize chunks then test their knowledge. They can also join discussions and air their opinions, put their trickiest questions to a teacher and check out the top tips from last year's GCSE students. Exam revision has never been so easy!
This site can be used as the basis of a maths lesson in ratio, proportion and scale. It is based on the premise that 'Scientists using remote sensing photos can estimate the height of objects in the photos by noting the time of day and studying the length and angles of shadows.' The lesson plan uses this idea practically.
History
of Mathematics Archive Mac Tutor
This simple site provides information on great mathematicians and great maths of yesteryear, indexed by era and topic, e.g. Fermat's Last Theorem, the 4-colour problem, calculus, gravity, etc. It is a good site for students of all ages. It clearly also embraces other programmes of study.
This easily-navigable site provides biographical information on mathematicians in either alphabetical or chronological order. It is a good resource for cross-curricular links between maths, history and English. It can be downloaded for classroom use.
This site belonging to the Centre for Innovation in Mathematics Teaching gives access to a wide range of maths puzzle pages, full of quick puzzles and longer investigations. It can be used to generate 'Puzzle of the Week'-type problems to go on the classroom wall. Pupils can compete in online Prize Competitions or teams of students can compete against each other with the Prize Puzzle Competition Questions.
International
Conversion Helper Resources
This site includes links to currency converters providing up-to-date information on almost every currency.
Ken
White's Coin Flipping Page
This is a page that does exactly what it says - flips coins. The site includes graphics and is not only a novel way of investigating probability, but also works out much quicker than physically flipping coins for maths exercises requiring a large number. It is a possible fun alternative introduction to probability.
For learners everywhere, this BBC site is a mixture of bits and pieces including transcipts of the radio series it supports, quizzes on English, maths and science, an education chatroom, an FAQ, information on how a radio studio works and what everyone does in it, and a list of relevant links.
Mersenne Primes are one less than a power of two; this site details the search for such prime numbers using ordinary PCs.
MegaMaths:
The Most Colourful Math of All
Provides a comprehensive and colourful treatment of map-colouring, with a two-colour problem introduced via a story to a four-colour problem associated with the idea of the nature of proof.
MegaMaths:
Algorithms and Ice Cream for All
Provides a problem about networks and optimisation, whereby students have to construct a system of routes that will most efficiently connect homes to ice-cream outlets.
MegaMaths:
A Usual Day in an Unusual School
A logic problem based on a three-act 'play' in which the characters make assertions giving sufficient information to solve the puzzle. The treatment is aimed at both students and teachers, with background information and vocabulary. This will appeal to able and keen mathematicians of all ages, and would be suitable for KS4 and A-level. Elsewhere within MegaMaths are more esoteric topics.
Concentrates on turtle geometry, offering maths, education, information technology and some straightforward ''sum'' too. The site contains much more besides, including a puzzle page, an area devoted to fractals and an excellent links section classified by mathematical topic. This would be a good resource for students and teachers at schools that are switching DOS-based versions of Logo to Winlogo.
Using graph-processing software and hardware in education, the site contains excellent features including animations showing transformations, a puzzle page, an area devoted to fractals, a links section classified by mathematical topic, and video clips with music offering aerobic interpretations of families of curves. Some features would invite follow-up by the students on graphics calculators or omnigraph. The site would be also suitable for A-level..
Mathematics
Essays from the Web
One maths buff has collected his maths essays onto this site. The topics range from general mathematics questions to more specialised topics. Also included is a useful explanation of the difference between various types of equation.
This US site provides a collection of lesson plans and ideas for mathematics teachers. Since many aspects of the curriculum overlap between the USA and the UK, many of the ideas here are useful, but the texts are graded according to USA levels and take some interpretation. If you keep a resources collection, these could be filed under different programmes of study. Also, it is possible to save or print them out fairly easily as they are simply text files. A good teacher resource.
A Cambridge University site, this features a large range of problems with detailed solutions, plus an interactive magazine and a large resource bank. It would be most suitable for students at A-level and above as well as for enrichment and maths clubs.
Over the years, maths has been given the Hollywood treatment numerous times. This site lists the portrayal of mathematics on the big screen and rates the films for realism. This site is more interesting than educational but it does offer teachers the chance to bring maths into the 'real' world.
Provides information on a large variety of magic squares, linking them with their background in terms of history and geography. Designed to foster cross-curricular links and develop a solid understanding of mathematical concepts, this is best used if all pupils have a computer, although the site could be used as a teacher resource.
Math
Forum: Ask Dr. Math - Elementary School Level
An excellent ''Math Forum'' offers responses to individual e-mailed questions on maths, provides a directory of frequently asked questions mainly on numbers, and lists some 'how to' questions, e.g. why does a number get smaller when you multiply by a decimal?
This is a Web project that aims to provide strong motivation for pupils to use computer technology while improving their problem-solving strategies and communication skills.
A good, simple introduction to how the metric system works.
This downloadable Java activity practises shape, space and measure. Students are given the task of navigating across a desert with a virtual compass, ruler and calculator to crack a code and win. Useful for Key Stage 3 and above, it is well designed, engaging and great fun!
Mathematicians
of the Seventeenth and Eighteenth Centuries
Detailed accounts of the lives and works of some of history's most famous mathematical minds can be found here. Descartes, Fermat, Newton, Halley and Huygens feature alongside their well- and lesser-known comtempories. All entries are adapted from the book 'A Short Account of the History of Mathematics'.
Madras
College Mathematics Department Home Page -Some Famous Problems in the History
of Maths
This site investigates some of the great problems that have inspired mathematicians throughout the ages, e.g. the value of pi and the Pythagorean Theorem.
Modelling
using Excel for Key Stage 4 
This site supplies the data of the Olympic records for most of the events from 1896.
PASS
Public Awareness & School Support for Mathematics: Fibonacci
Part of a quarterly magazine connected with Cambridge and Keele Universities, this site features Fibonacci and the Fibonacci sequence, incorporating the golden ratio phi or golden section, sunflowers, and a rabbit-breeding problem. The site, like others in the magazine, is aimed principally at A-level mathematics students, and also offers sections on dynamic programming, pi, mathematical mysteries and a puzzle page. Much to whet the appetite of keen and able students.
Covering primes, especially big ones, this site contains an introduction and various attempts to see some sort of order in the primes.
Describes many activities that can be attempted with paper to explore various aspects of mathematics.. Sections include Tangrams, Fractions, Tessellations and Geometry.
PUMAS:
Practical Uses of Maths and Science
A collection of examples, written by scientists and engineers, that investigate topics in the context of everyday life.
Railtrack
This site includes journey planning for days out, downloadable lesson ideas,
a safety quiz, historical information from the National Railway Museum at
York and many other activities related to rail travel.
Sky
Mathshttp://www.discover-railtrack.co.uk
This site aims to use the science and language of patterns to explore the weather.
This site, one of several from the Department of Mathematics at the University of Texas, covers algebraic topics, from fraction work to partial fractions and the solving of various types of equation.
Comprehensive listing of comparative size. Suitable for capable key stage 4 students with a good grasp of exponential notation.
The
St Andrew’s University MacTutor History of Mathematics
Biographies of more than 1100 mathematicians can be found on this site, with birthplace maps and information on who was born on this day. There are also articles on the history of maths topics and famous curves.
You will find puzzles and games galore to please and tease your mind at this site.
The
Fibonacci Numbers and the Golden Section
Activities and information about the Fibonacci series from the University of Surrey.
An online Fantasy Football League with millions of pounds to spend, deadlines to meet, transfers to complete and fun to be had.
Explores the three-door problem of logic with motivating graphics.
A starting point for pupils' investigation of the number pi, this site enables examination of its non-recurrent nature, and contains links to other sites to continue the investigation.
The
Casio Classroom: Graphics Calculator Activities
Using a graphics calculator in a dynamic treatment of graphs, this Casio site investigates changing period and amplitude of sine and cosine curves.
The
Casio Classroom: Calculator Problems
Providing two regularly updated problems for the graphics/programmable calculator, this Casio site offers prizes of calculators each week, and lists students sending correct solutions by e-mail.
The
Casio Classroom: Algebra activities
A Casio Calculator site presents operations BODMAS using a calculator, concentrating on three areas: order of operations, perimeter and circumference, and data manipulations using the CFX-9850G.
Texas
Instruments: Statistics Activities
Offers a set of statistical activities for TI-83 calculators, such as fitting an equation to bivariate data, modelling growth and decay, generating Poisson, Normal, Binomial distributions, etc.
Texas
Instruments: Geometry Activities
Offers a set of geometrical activities for the TI-83, including exploration of the area of a triangle, partition of a plane, and the investigation of straight lines.
This site takes any integral requiring evaluation and integrates it. Thus pupils can check their integrations via the Web. However, the format for entering integrals and reading the reply has to be learnt first. Moreover, the site does nothing more if you have 'Derive' or similar. Otherwise, definitely worth a look for secondary maths students.
UK
National Lottery Winning Numbers
A searchable database of all the lottery numbers for the UK National Lottery.
The official National Lottery site
U.S.
Census Bureau - the Official Statistics
The US Census Bureau supplies world population information, including links to three graphs - world population, world population growth rates and annual world population change.
A site written to help students gain a greater understanding of multiplying and squaring,
Enter your own postcode or the postcode of a location to make comparisons with and up pops a wealth of information to base some classroom research or discussions upon.
Accessible only through Geometer's Sketchpad, this site is a must if you use this software for a teaching aid to vectors at A-level.
Vector Space - an introduction to 3D vector analysis.
Contains about 50 of Escher's works in thumbnail form, each with an enlargement facility.
Dead links deleted 30th November 2000
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