Multiple Representations

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.

The last date for sending in solutions is Monday 4 February.

Triangle or No Triangle? 

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

Birthday Sharing 

Age 5 to 7 Challenge Level:
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?

Catrina's Cards 

Age 5 to 7 Challenge Level:
How would you find out how many football cards Catrina has collected?

Name That Triangle! 

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

The Remainders Game 

Age 7 to 14 Challenge Level:
Play this game and see if you can figure out the computer's chosen number.

Magic Crosses 

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

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?