This group of tasks, part of our feature The Problem-solving Classroom, is a good starting point for encouraging positive habits of mind: collaboration, determination, thoughtfulness and curiosity.
![Inside Triangles](/sites/default/files/styles/medium/public/thumbnails/content-id-5648-icon.png?itok=eh8JaYbt)
problem
Inside Triangles
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
![Thirsty?](/sites/default/files/styles/medium/public/thumbnails/content-id-6971-icon.gif?itok=1gmg3QRD)
![If the World Were a Village](/sites/default/files/styles/medium/public/thumbnails/content-id-7725-icon.png?itok=4f3SeRrg)
problem
If the World Were a Village
This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?
![Wallpaper](/sites/default/files/styles/medium/public/thumbnails/content-id-4964-icon.jpg?itok=TsHtsjtG)
problem
Wallpaper
These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?
![Factors and Multiples Game](/sites/default/files/styles/medium/public/thumbnails/content-id-5468-icon.png?itok=0fdeo2-b)
game
Factors and Multiples Game
A game in which players take it in turns to choose a number. Can you block your opponent?
![The Remainders Game](/sites/default/files/styles/medium/public/thumbnails/content-id-6402-icon.png?itok=y4L5tzV1)
![Stringy Quads](/sites/default/files/styles/medium/public/thumbnails/content-id-2913-icon.png?itok=Qui2Dqz_)
problem
Stringy Quads
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!