This challenge links together the topics area and perimeter. The challenge is to find the smallest area that can be enclosed using 12 toothpicks. The mathematical topics required are areas of rectangles and triangles. This resource is suitable for Key Stages 2 and 3.

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Act 1

A video shows a jar of toothpicks being emptied....

In this puzzle students are asked to identify all of the states in a topological map of the United States of America. The resource contains a few hints to help orientate the map, but students will have to be familiar with the original map to complete the task.

The map was produced by Sian Zelbo and Mark Saul...

This SMILE resource contains one pack of games, investigations, worksheets and practical activities supporting the teaching and learning of topology.

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This module from the Nuffield Foundation introduces simple ideas of topology starting from informal considerations of topological transformations progressing to work on networks (the bulk of the content) and ending with an investigation into map colouring.

Torbury Festival is a set of interactive lessons around staging of a music festival. To overcome various challenges, from floods to escaped cattle to over-excited crowds storming the stage, students must apply their mathematical knowledge to real life situations. The problems are intended to promote discussion,...

This resource from stats4schools focuses on which attractions in London are the most popular using data from the National Tourist Board covering the years 1994 to 2001. Students can interpret information from tables, manipulate data, investigate tourism and plan a visit to London.

The resource includes a...

This mathematical investigation from the National Strategies Study Plus collection starts with the idea of someone being locked up in a tower.

The context could to be adapted so that it will appeal to the students, for example built around spies, knights of old, or TV characters. The tower shape and number...

In this resource the time is given for a train to pass a signal. The time is also given for a train to completely pass through a tunnel. It is assumed that the train is travelling at constant speed. The task is to calculate the length of the train.

Solving the problem requires the use of the formula for...

This resource consists of four interactive excel files dealing with single transformations of 2D shapes.

Transformation: Enlargement...

This MEP resource from CIMT is taken from text book 9A which covers the mathematics scheme of work for the first half of year 9.

Transformations covers: a review of the names and properties of common 2D shapes, translating by a vector, enlargements, reflections, rotations and combining transformations....

This series of activities from NASA take a mathematical approach to looking at transits, eclipses and occultations. They are intended as supplementary problems for students looking for additional challenges in mathematics and physical science from age 11 to 19 years.

The problems were created to be authentic...

This SMILE resource contains two packs of games, investigations, worksheets and practical activities supporting the teaching and learning of translations and vectors, from creating border patterns to working with vectors.

Translations and vectors pack one contains twelve work cards with a...

A transparent cube has a wire wrapped around it. The Top, Side and Front views are presented and then three cubes with wire are presented. The challenge is to determine which cube goes with the 2D views. A further challenge is to show the 2D representations for the remaining cubes. This resource is suitable for Key...

The cost of transportation is a key factor for many industries. This activity features a classic transportation problem giving the outputs of two suppliers, the demands of two consumers and the associated transportation costs. Students are asked to find the minimum transportation cost to meet the demand. Students...