Electronic
Examples - NCTM
interactive activities that support Principles and Standards
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Electronic
Examples - NCTM
interactive
activities that support Principles and Standards
National
Library of Virtual Manipulatives for Interactive Mathematics
Skillswise
Number Quizzes - BBC
What's
special about this number?
facts about the numbers 1 to 9999
Digits
of the Year Challenge - Madras College
Construct the numbers 1, 2, 3, 4,
... using the digits 2, 0, 0 and 2. Send your entries by email.
Big
Calculator
Perform calculations with results
up to 10000 significant figures. Investigate repeating decimal patterns
of fractions. Look at the decimal form of irrational numbers. See description
of method for calculating pi.
Arbitrary
Precision Arithmetic
Perform calculations with a large
number of significant figures.
Glossary
of Numbers - Math Forum
abundant - amicable pairs - deficient
- figurate - happy - narcissistic - palindromic - perfect - polygonal -
proper divisors - semiperfect - sociable - square - tetrahedral - triangular
- weird
Friedman
Numbers
A Friedman number is a positive
integer which can be written in some non-trivial way using its own digits,
together with the symbols + - x / ^ ( ).
Proofs
without Words - Cut The Knot
perfect
number analyser
The
Perfect Number Journey (6, 28, ...)
An integer is perfect if it equals
the sum of its divisors (excluding itself). Read about the connection between
perfect numbers and Mersenne primes.
Curious
and Useful Math
tricks and rules for quickly calculating
certain types of problem
numbers
in today's date
Find out what is special about the
numbers 1 to 31.
numbers
from 1 to 10 in over 5000 languages
Digits
Project
Check out the digits 0,1,2,3,4,5,6,7,8,9.
See them in different languages.
Four
Cards game
Can you use the numbers on these
four cards to make equations that equal the number on the fifth card?
1*2+34*56+7+89=2002
Write any number using consecutive
digits, addition and multiplication.
2006
= 12 + 182 +412
Any positive integer can be written
as the sum of four or fewer squares.
birthday
On what day of the week is your
birthday (enter any date)? Graphics calculator programs are also provided.
one
million project
Make a wall display of one million
- one hundred A4
sheets with 10000 dots.
Euclidean
algorithm - find the greatest common divisor of two numbers
BEATCALC
calculator
- greatest common divisor / least common multiple
Magic
Squares - Holger Danielsson
Magic
Squares - collection of links - Jill Britton
Magic
Squares - collection of links - Suzanne Alejandre
Binary
Numbers - collection of links - Jill Britton
Clock
Arithmetic - collection of links - Jill Britton
Clock
Arithmetic - Susan Addington
application of clock arithmetic
to codes
Number
Bracelets Game - Clock Arithmetic - Susan Addington
You only need to add whole numbers
to play it, but there are interesting variations and extensions for people
who like to think about mathematical patterns.
Megapenny
Project
visualising large numbers (includes
MegaMoo)
Practice
Your Arithmetic Skills - StudyWorks Online
How many questions can you answer
correctly in 60 seconds?
Integerzone
- Philip Dorrell
The integers are displayed in a
rectangular grid that can be scrolled up and down and resized. Activities
available include arithmetic, factors, HCF and LCM, multiples, tables tests,
modulo arithmetic, casting out nines, prime numbers and the Sieve of Eratosthenes
(applets available on this site with permission).
Room
108 Math
basic number and time activities
including an excellent visual
multiplication table
multiplication
tables
Practise the multiplication tables.
factor
game
Winning strategies involve distinguishing
between numbers with many factors and numbers with few factors.
divisors
and multiples
game to practise divisors and multiples
division
- AAAMath
explanation, interactive practice
and challenge games about division and divisibility tests
divisibility
rules - Math Forum
divisibility tests for 2,3,4,5,6,7,8,9,10,11,12,13
and why they work
finger
arithmetic
Chisenbop tutorial - Andy Harris multiplication with your ten fingers - Math Forum
numbers
in different bases- Alexander Bogomolny
decimal/binary
converter
sum
of two squares
Can a number be written as the sum
of two square numbers?
Roman
numerals and dates - Steven Gibbs
Egyptian
numbers
Explore Egyptian numbers and use
an Egyptian calculator.
Egyptian
fractions - Ron Knott
history and use of Egyptian fractions
Egyptian
fraction calculator
The ancient Egyptians represented
all fractions as a sum of unit fractions (3/4 would have been written as
1/2+1/4). 1/7+1/7 is not allowed for 2/7 as the same unit fraction cannot
be used twice (the calculator gives 1/4+1/28).
Mesopotamian
numbers
This system of numbers uses a base
of 60. Try the calculator.
Chinese
numbers
details of Chinese numbers and a
converter
powers
of 2
the first 1058 powers of 2
sequencer
Define a sequence by specifying
a starting number, multiplier and add-on. See the graph.
Encode
and decode messages using an affine cipher (x #, + #).
Fresh
Baked Fractions
fraction
bars
Create and compare fractions, decimals
and percentages.
No
Matter What Shape Your Fractions are In - Cynthia Lanius
activities related to the basic
understanding of fractions
Visual
Fractions
activities (with diagrams) for fractions
and arithmetic with fractions
fractions
- AAAMath
explanation, interactive practice
and challenge games about fractions
Flash
activities - Mark Wendell
fractions
- exploring halves - Flash movie
fractions
game
Play Connect Four.
continued
fractions
decimals
- AAAMath
number
lines
Explore number lines including decimals.
Decifractor
Explore fractions and their equivalent
decimals.
Decimal
Squares
Compare decimals using tenths, hundredths
or thoudandths.
percentages
- AAAMath
explanation, interactive practice
and challenge games about percentages
percentage
pie chart
Enter the percentages and see the
pie chart.
Amazing
Mathematical Object Factory
Generate permutations, combinations,
partitions, subsets, Fibonacci sequences, magic squares, ...
Combinatorial
Object Server
Generate permutations, combinations,
partitions, subsets, Fibonacci sequences, magic squares, ...
bar
codes
pyramid
puzzle
tortoise
and hare
Who wins the race? It helps to know
about infinite geometric series.
Palindromic
Numbers - World of Numbers
links and
resources about numbers that read the same forwards and backwards
666
facts about the number 666
Zero
Saga
In the 13th century, the introduction
of zero was crucial to the development of the decimal system.
History
of zero - MacTutor History Archive
Infinity
- Platonic Realms
"Our minds are finite, and yet even
in these circumstances of finitude we are surrounded by possibilities that
are infinite, and the purpose of life is to grasp as much as we can out
of that infinitude."
Alfred North Whitehead (1861 - 1947)
number
e
Square
root of 2 is irrational - proof by contradiction - Math Forum
Square
root of 3 is irrational - proof by contradiction - Math Forum
e
is irrational - proof by contradiction
Numbers,
Constants and Computation
Encyclopaedia
- Integer Sequences
Enter a sequence of numbers and
find out what is special about it.
Interactive
Real Analysis
online interactive textbook for
real analysis and advanced calculus
Teaching/Learning
about Decimals
"I never could make out what those
damned dots meant."
Lord Randolph Churchill (Winston's
father) on having decimals explained to him. He was Chancellor of the Exchequer
at the time.
other
resources