The Measures find the line or lines of symmetry and chop along them to win the medal. Weighing and measuring How to solve the problem of making equal size pizzas from 2kg dough at the pizza parlour. Some elegant use of procedures will help – variables not essential. Schlafli Tessellations Age 11 to 18 Challenge Level: What are the basic units? A triomino is a flat L shape made from 3 square tiles. Semi-regular tessellations combine two or more different regular polygons to fill the plane.

Watch the clip as inspiration for how triangles can be used in different designs. Can you tessellate isosceles triangles? Bow Tie Age 11 to 14 Challenge Level: Can you make these equilateral triangles fit together to cover the paper without any gaps between them? To further the children, you could get them to use a protractor to measure the angles of the shapes. Maurits Cornelius Escher Age 7 to 14 Have you ever noticed how mathematical ideas are often used in patterns that we see all around us? Penta Place Age 7 to 11 Challenge Level:

This is from the series: 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. Penta people, the Pentominoes, always build their houses from five square rooms.

# Transformations and constructions :: Tessellations :

Write down the words: An environment that enables you to investigate tessellations of regular polygons. I wonder how many different Penta homes you can create? Playing tessellatioon polygons The Measures face an origami challenge which explores the properties of pentagons.

A pancake recipe challenges Mr Measure to adapt quantities to make enough for more people. Tessellating Transformations Age 7 to prlblem Challenge Level: Puss in Boots’ stinky boots provides a chance to learn about angles in the Panto House.

This article describes the life of Escher who was a passionate believer that maths and art can be. Register for our mailing list. The Measures face an origami challenge which explores the properties of pentagons.

More from the series: Some elegant use of procedures will help – variables not essential. Ambrose uses the circular base and cuts to form the equilateral triangle base explaining about the properties of the shape. Can the children use any of these words in a description about an equilateral triangle? Join pentagons together edge to edge. Three differentiated questions then reinforce understanding of angles in a triangle, use of a protractor and introduce an investigation about fitting different triangles into a 30cm square pizza box.

Measuring distance round a rectangle and devising routes in the Panto House. This will assess their knowledge of triangles currently.

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Using a calendar Exploring time, dates and calendars in the Panto House. Using a compass and reading maps An old map helps the Measures to learn about compass points, scale and directions. Investigating angles Puss in Boots’ stinky boots provides a chance to learn about angles in the Panto House.

Using these kite and dart templates, you could try to recreate part of Penrose’s famous tessellation or design one yourself. Show the children three different triangles and get them to explain which is the odd one out and why. Weighing and measuring How to solve the problem of making equal size pizzas from 2kg dough at the pizza parlour. Use the interactivity to make this Islamic star and cross design. Outside the Box Age 7 to 14 This article explores the links between maths, art and history, and suggests investigations that are enjoyable as well as challenging.

## Maths KS2: Problem solving with equilateral triangles

What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole? Lafayette Age 7 to 11 Challenge Level: Tessellating Triangles Age 7 to 11 Challenge Level: Can you produce a tessellation of regular octagons with two different types of triangle? Tessellation Interactivity Age 7 to 16 Challenge Level: Problem solvinh with money is explored as Abi Measure saves up to buy a new guitar.