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Low Threshold High Ceiling Tasks for Secondary Classrooms

Low Threshold High Ceiling Tasks for Secondary Classrooms

In our latest feature, we explore what is meant by Low Threshold High Ceiling tasks. The collection of problems is designed to offer accessible starting points that can lead to challenging extensions.
 

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.

Flippin' Discs 
Age 11 to 14
Challenge Level Yellow star

Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?

Odds and Evens 
Age 11 to 14
Challenge Level Yellow star

Are these games fair? How can you tell?

Cosy Corner 
Age 11 to 14
Challenge Level Yellow starYellow star

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

Two's Company 
Age 11 to 14
Challenge Level Yellow starYellow star

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Factorising with Multilink 
Age 14 to 16
Challenge Level Yellow star

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

Hollow Squares 
Age 14 to 16
Challenge Level Yellow star

Which armies can be arranged in hollow square fighting formations?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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