List

Multiple Representations

When children are curious about why something works, multiple ways of representing the same concept or idea can offer insights and deepen understanding.  The problems below will give your learners opportunities to consider different representations, whether they are created by the children themselves or by someone else.

Catrina's Cards
problem
Favourite

Catrina's Cards

Age
5 to 7
Challenge level
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How would you find out how many football cards Catrina has collected?
Triangle or No Triangle?
problem
Favourite

Triangle or No Triangle?

Age
5 to 7
Challenge level
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Here is a selection of different shapes. Can you work out which ones are triangles, and why?

Birthday Sharing
problem
Favourite

Birthday Sharing

Age
5 to 7
Challenge level
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It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?
The Remainders Game
game
Favourite

The Remainders Game

Play this game and see if you can figure out the computer's chosen number.

Magic Crosses
problem

Magic Crosses

Age
7 to 14
Challenge level
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Can you find examples of magic crosses? Can you find all the possibilities?

Name That Triangle!
problem
Favourite

Name That Triangle!

Age
7 to 11
Challenge level
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Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?
Remainders
problem
Favourite

Remainders

Age
7 to 14
Challenge level
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I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?