A low threshold high ceiling task is one which is designed to be mathematically accessible, and to have built-in extension opportunities. In other words, everyone can get started and everyone can get stuck. In this updated feature, we bring together our favourite low threshold high ceiling tasks, as well as two articles which will support you in creating a low threshold high ceiling
classroom.
article
Low Threshold High Ceiling - an introduction
In this article for teachers, we explain what is meant by Low Threshold High Ceiling tasks, and why we like them.
article
Creating a Low Threshold High Ceiling Classroom
This article explores the key features of a Low Threshold High Ceiling classroom.
problem
Sizing them Up
Age
5 to 7
Challenge level
Can you put these shapes in order of size? Start with the smallest.
problem
Sort the Street
Age
5 to 7
Challenge level
Sort the houses in my street into different groups. Can you do it in any other ways?
problem
Inside Triangles
Age
5 to 7
Challenge level
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
problem
Noah
Age
5 to 7
Challenge level
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
problem
How Many?
Age
5 to 11
Challenge level
Have a look at these photos of different fruit. How many do you see? How did you count?
problem
Totality
Age
5 to 11
Challenge level
This is an adding game for two players. Can you be the first to reach the target?
problem
Four Triangles Puzzle
Age
5 to 11
Challenge level
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
problem
Poly Plug Rectangles
Age
5 to 11
Challenge level
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
problem
tiling
Age
7 to 11
Challenge level
An investigation that gives you the opportunity to make and justify predictions.
problem
Nine-Pin Triangles
Age
7 to 11
Challenge level
How many different triangles can you make on a circular pegboard that has nine pegs?
problem
Neighbourly Addition
Age
7 to 14
Challenge level
I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?
problem
Magic Crosses
Age
7 to 14
Challenge level
Can you find examples of magic crosses? Can you find all the possibilities?
problem
Reach 100
Age
7 to 11
Challenge level
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.