I wonder how many different Penta homes you can create? Kites and Darts Age 7 to 11 Challenge Level: Semi-regular Tessellations Age 11 to 16 Challenge Level: Measuring distance Measuring distance round a rectangle and devising routes in the Panto House. Can the children use any of these words in a description about an equilateral triangle? Can you tessellate isosceles triangles?

To further the children, you could get them to use a protractor to measure the angles of the shapes. At the Grecian Pizza Parlour, apprentice Ambrose receives an order for 50 equilateral triangle shaped pizzas with equilateral triangle shaped toppings. Write down the words: 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. A pancake recipe challenges Mr Measure to adapt quantities to make enough for more people. This practical investigation invites you to make tessellating shapes in a similar way to the artist Escher. What are the basic units?

Can you produce a tessellation of regular octagons with two different types of triangle?

## Tessellation

Polygon Rings Age 11 to 14 Challenge Level: Capacity and measure Jack and Jill visit Buttons to fill a bucket with water, and explore relative capacity. To further the children, you could get them to use a protractor to measure the angles of the shapes.

A tetromino is made up of four squares joined edge to edge. Jack and Jill visit Buttons to fill a bucket with water, and explore relative capacity.

# Maths KS2: Problem solving with equilateral triangles – BBC Teach

He makes tessellating toppings to cover the pizza. This article explores the links between maths, art and history, and suggests investigations that are enjoyable as well as challenging. Why or why not? Use the interactivity to make this Islamic star and cross design. Measuring distance Measuring distance round a rectangle and devising routes in the Panto House. Tessellating Triangles Age 7 to 11 Challenge Level: Ported to Flash from the original java at web.

Investigating angles Puss in Boots’ yessellation boots provides a chance to learn about angles in the Panto House. All 5 to 11 7 to 14 11 tesdellation 16 14 to 18 Challenge level: Bow Tie Age 11 to 14 Challenge Level: Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.

Write down the words: A triomino is a flat L shape made from 3 square tiles. This is from the series: Using LOGO, can you construct elegant procedures that will draw this family of ‘floor coverings’? The Measures face an origami challenge which explores the properties of pentagons.

# Transformations and constructions :: Tessellations :

Show the children three different triangles and get them to explain which is the odd one out and why. Washing day pronlem the Panto House provides a problem involving weight and using scales. Pizza delivery boy Ambrose fills in a timetable of his journey times using 24 hour clocks. Using timetables and the 24 hour clock Pizza delivery boy Ambrose fills in a timetable of his journey times using 24 hour clocks. Using these kite and dart templates, you could try to recreate part of Penrose’s famous tessellation or design one yourself.

Semi-regular Tessellations Age 11 to 16 Challenge Level: This will assess their knowledge of triangles currently. Geomlab Age 11 to 18 Challenge Level: More from the series: Will they form a ring?

At the Prolem Pizza Parlour, apprentice Ambrose receives an order for 50 equilateral triangle shaped pizzas with equilateral triangle shaped toppings. Can this tetromino, together with 15 copies of itself, be used to cover an eight by eight chessboard? Tessellation Interactivity Age 7 to 16 Challenge Level: