Mathematicians use many different representations when solving problems, such as tables, graphs, diagrams and algebra. These tasks encourage students to use a variety of different representations to gain valuable insights into mathematical situations.
problem
Magic Crosses
Age
7 to 14
Challenge level
Can you find examples of magic crosses? Can you find all the possibilities?
game
Favourite
The Remainders Game
Play this game and see if you can figure out the computer's chosen number.
problem
Favourite
Remainders
Age
7 to 14
Challenge level
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
problem
Favourite
Always a multiple?
Age
11 to 14
Challenge level
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
problem
Favourite
Which is cheaper?
Age
14 to 16
Challenge level
When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?
problem
Favourite
Which is bigger?
Age
14 to 16
Challenge level
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
problem
Favourite
Exploring cubic functions
Age
14 to 18
Challenge level
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
list
Many ways to see
Age
11 to 18
Challenge level
These problems can be represented in many different ways!
list
Multiple Representations
This feature for primary teachers focuses on representing mathematical thinking in different ways.