Task of the Week: Pavilion

The present task of the week is about a geometric question. It involves the area calculation of the roof surface of the illustrated pavilion. Task: Pavilion (task number: 665) Determine the roof surface of the pavilion! Give the result in m². For this purpose, the pupils should recognize that the roof surface consists of several isosceles […]

Task of the Week

The present task of the week is about a geometric question. It involves the area calculation of the roof surface of the illustrated pavilion.


Task: Pavilion (task number: 665)

Determine the roof surface of the pavilion! Give the result in m².


For this purpose, the pupils should recognize that the roof surface consists of several isosceles triangles. It is therefore sufficient to measure the height and base of one triangle and to calculate the surface content using the formula for the area content of triangles. The total area can then be determined by multiplication by the number of triangles.

In order to solve the problem, the pupils must therefore be familiar with the area calculation for triangles. In the task, the “geometrical view” is trained by the triangular shape being recognized in a composite figure. Here, an essential aspect of outdoor mathematics is found, namely the recognition of mathematical concepts and objects in reality, as well as the use of mathematical knowledge to solve everyday questions. Solving the task is possible from class 6 onwards with the topic triangles.

Mathtrail Seminar 2017

In this summer semester, students (for becoming a teacher in mathematics) at Goethe University Frankfurt again have the opportunity to take part in the Mathtrail seminar as a special event in order to get to know the advantages of outdoor mathematics. Before the participants will develop their own tasks and trails, they should experience how it […]

EventsMath Trails

In this summer semester, students (for becoming a teacher in mathematics) at Goethe University Frankfurt again have the opportunity to take part in the Mathtrail seminar as a special event in order to get to know the advantages of outdoor mathematics. Before the participants will develop their own tasks and trails, they should experience how it feels to make mathematics outside the classroom. This Thursday , the course took place at the Mainufer near the ECB in order to run the trail in the “Im Schatten der EZB“, which was created and tested a year ago by the Mathtrail seminar, with help of the MCM app.

In the end, everyone agreed that a mathtrail can be a lot of fun and time can fly when one solves the math problem outside the classroom. However, it has also become clear that it is not so easy to develop good tasks, because the boundary between challenge and frustration can already be exceeded through a narrow solution interval.

In the coming weeks, students will be familiar with the MathCityMap system and then implement their own trail. We are curious!

P.S.: The weather was good as always! ?