# Low Threshold High Ceiling

### Low Threshold High Ceiling

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.

### Low Threshold High Ceiling - an Introduction

##### Age 5 to 18
In this article for teachers, we explain what is meant by Low Threshold High Ceiling tasks, and why we like them.

### Creating a Low Threshold High Ceiling Classroom

##### Age 5 to 18
This article explores the key features of a Low Threshold High Ceiling classroom.

### Sizing Them Up

##### Age 5 to 7Challenge Level
Can you put these shapes in order of size? Start with the smallest.

### Sort the Street

##### Age 5 to 7Challenge Level
Sort the houses in my street into different groups. Can you do it in any other ways?

### Inside Triangles

##### Age 5 to 7Challenge Level
How many different triangles can you draw on the dotty grid which each have one dot in the middle?

### Noah

##### Age 5 to 7Challenge Level
Noah saw 12 legs walk by into the Ark. How many creatures did he see?

### How Many?

##### Age 5 to 11Challenge Level
Have a look at these photos of different fruit. How many do you see? How did you count?

### Totality

##### Age 5 to 11Challenge Level
This is an adding game for two players. Can you be the first to reach the target?

### Four Triangles Puzzle

##### Age 5 to 11Challenge 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?

### Poly Plug Rectangles

##### Age 5 to 11Challenge 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?

### Tiling

##### Age 7 to 11Challenge Level
An investigation that gives you the opportunity to make and justify predictions.

### Nine-pin Triangles

##### Age 7 to 11Challenge Level
How many different triangles can you make on a circular pegboard that has nine pegs?