the art of maths 2020 transition competition...a number of shapes using origami, • use, within...

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Welcome to

The Art of Maths

2020

Transition Competition

Transition Competition - Aims• Introduce Learners to the artistic side of Mathematics,

• Through investigating geometric shapes learn new skills,

• Take part in a competition and maybe win a prize,

• Forge closer links with Calder High and reduce the stress with the kids as they transition to secondary. Their entries will be displayed in school.

Transition Competition – How to enter• You will need to provide resources, coloured paper, scissors, glue and a

sheet of A3 to mount your winning entry,

• Contained with in this PowerPoint are the instructions on how to construct a number of shapes using origami,

• Use, within your school, the shapes to construct a picture,

• Send the best picture from your school to Calder to be entered into the main competition.

Maths is beautiful!!

• You can watch the video (please request)

or

• Use the following slides (they will auto advance with music)

The Art of Maths

Investigating Geometric Shapes

Geometry in Real Life

Geometry in Real Life

Geometry in Real Life

Geometry in Real Life

Geometry in Real Life

Geometry in Real Life

Geometry in Real Life

Geometry in Real Life

Geometry in Nature

Geometry in Nature

Geometry in Nature

Geometry in Nature

Geometry in Currency

Geometry in Sport

Geometry in Art

The Art of Maths

Constructing Geometric Shapes

• You can watch the video (please request)

or

• Use the following slides

(they will NOT auto advance)

Start with a rectangular piece of paper

Fold in half

Open out again

Fold both edges into the middle

Open out again

Now for the really tricky bit….

… and you need to be precise

From the centre,

fold to the crease

See this crease here

Same the other side

Now rotate the paper 180º

And fold up You want this edge to

line up

And the other side

Turn it over and we have….

a rhombus

Properties of a rhombus?

Two pairs of parallel sides

Properties of a rhombus?

Equal sides

Properties of a rhombus?

Equal angles

Properties of a rhombus?

These two angles add to 180º

These properties mean that this shape will tessellate

From the rhombus, how can we make an equilateral triangle?

Fold in half

If this is equilateral, what should each angle measure?

60º

60º 60º

From the rhombus how can we make a hexagon?

Fold the two sides into the centre

Properties of a regular hexagon?

Equal sides

Properties of a regular hexagon?

Equal angles

What should each angle measure?

Equal angles - 120º

From the hexagon, how can we make an isosceles trapezium?

Fold it in half

Properties of a trapezium?

One pair of parallel sides

Properties of a trapezium?

These two angles add to 180º

From this…..

…to these

Competition instructions

• Create some Maths Art using only accurately constructed geometrical shapes

• Using the shapes you make by folding the paper as shown in the video.

• Stick them to your A3 sheet and produce a picture covering a theme.

• There are some examples that follow of previous years work.

The Theme of Space

Under the Sea

The Theme of The Wild

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