VO: It’s a Sunday afternoon, and the Measures are playing a family game.
It’s called the Origami Challenge. It’s very simple, everyone draws a shape to fold out of paper. Then they put all the suggestions in a hat.
Mum Measure: Ok, has everybody put theirs in the hat. Here we go, drum roll please.
A regular pentagon! Who put that in their?
Abi Measure: Yes!
VO: Ah, the task is to fold a regular pentagon, quite a tricky shape.
Mum Measure: Off we go. Dad start the timer.
Dad Measure: Ok losers.
VO: And they’re off. They’ve got two minutes.
The word penta comes from the ancient Greek language and means five. Pentagon means five angles. A regular pentagon is a polygon with five equal sides and five equal angles.
You can find the pentagon shape all over the natural world. And in man-made objects too.
How are they doing?
Abi Measure: And I am finished.
Dad, Mum & Ethan Measure: Oh!
VO: Time's up! Let's have a look at who's got it right.Ethan Measure: Envelope!
VO: Ethan's has only got four sides, so he’s disqualified. What about Mum?
Mum Measure: 1, 2, 3, 4, 5, 6! No, ok, that's no good.
VO: Dad’s got five sides, but it’s an irregular pentagon. Abi’s is the best. Let’s see how she did it.
Abi is using a sheet of A4 paper. She folds the bottom corner up to the opposite corner and smooths it. She has done that to make a crease. Now, she unfolds that and folds one half in, and lines it up with the centre crease, and smooths it. Now she does the same on the other side. And there we are, a regular pentagon.
Using a piece of A4 paper, fold a regular pentagon.
How many triangles can you find in your regular pentagon?
Using your protractor, find the sum of the internal angles.
Video summary
The ‘Origami Challenge’ is the game the Measures family is playing.
The challenge is to fold a regular pentagon from an A4 piece of paper.
The timer is set for the two-minute task. 'Penta' is explained as the Greek word for 5; 'pentagon' as five angles.
A diagram and explanation give the properties of a pentagon. Images from the natural and man-made world show that there are pentagons all around us.
After two minutes, Abi Measure is the only family member to succeed in making the regular origami pentagon.
It is demonstrated how she achieved that.
Three tasks follow: we are challenged to make our own pentagon; we are asked to explore how to investigate hidden triangles within the pentagon diagram; and finally we are challenged to find the sum of the internal angles using a protractor.
This is from the series: Let's Do Maths.
Teacher Notes
With an emphasis on practical, kinaesthetic approaches we learn how to fold a regular pentagon, about the properties of shape in terms of number of sides and angles and how to use a protractor to measure the angles in a regular pentagon.
Images shown from the natural world could be used as a stimulus for further shape investigations and artwork.
Ask the children to have a go and then show the clip afterwards, with the answer.
What's the difference between an irregular and regular pentagon?
Using the A4 paper, what 2D shapes can they create (a range of regular and irregular shapes can be created)?
The children could then write instructions for how to make them, or sort their shapes in Venn or Carroll diagrams.
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