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.

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### 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.

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### Creating a Low Threshold High Ceiling Classroom

This article explores the key features of a Low Threshold High Ceiling classroom.

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### Sizing them Up

Can you put these shapes in order of size? Start with the smallest.

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### Sort the Street

Sort the houses in my street into different groups. Can you do it in any other ways?

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### Inside Triangles

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

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### How Many?

Have a look at these photos of different fruit. How many do you see? How did you count?

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### Totality

This is an adding game for two players. Can you be the first to reach the target?

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### Four Triangles Puzzle

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?

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### Poly Plug Rectangles

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?

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### Nine-Pin Triangles

How many different triangles can you make on a circular pegboard that has nine pegs?

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### Neighbourly Addition

I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

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### Reach 100

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.