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## 3D Shapes in more than 3-ways

In this post I have pulled together lots of different ways of studying 3D shapes, with my new favourite ‘Pull-Up’ shapes. For each activity I have linked it to my favourite nRich tasks, check out their collection here.

Fold-Up for the Notebook

This great idea from Pinterest, means pupils can have this 3D shape in their class books but it still folds flat!  I believe this idea originally came from Hooty’s Homeroom blog, check out their website here for full instructions.

n-Rich Pyramid N-gon

The base of a pyramid has n edges. In terms of n, what is the difference between the number of edges of the pyramid and the number of faces? Check out this nRich task here.

Construct and Hang-Up

Using toothpicks or wooden skewers as edges and midget gems or marshmallows as vertices most 3D shapes can be built.  These make great 3D shapes for display but also useful for when exploring trigonometry and Pythagoras’ Theorem in 3D.  Midget gems will go hard and therefore will withstand the test of time on the classroom windowsill. Check out our blog post Sweets, cocktails sticks and 3D shapes

NRich Cube Paths Puzzle

Use tooth picks and midget gems to construct a skeletal view of a 2 by 2 by 2 cube with one route ‘down’ the cube.

How many routes are there on the surface of the cube from A to B?
(No `backtracking’ allowed, i.e. each move must be away from A towards B.)

Pull-Up

Often the building of 3D solids leads to some not so pretty and poorly constructed shapes, partly due to ‘accidentally’ cutting tabs off and mostly due to poor fine motor skills. I recently read Liz Meenan’s article for the Association of Teachers of Mathematics, who had experienced the same and in her article she talks about pull-up nets.

The nets are constructed pretty much as usual, however there are no tabs but instead small holes in strategically
placed corners. A thread is then looped through these holes in order, pull on the thread to pull-up your 3D shape.

Check out the full ATM article by Liz Meenan here.

Net Profit- add some challenge to the pull-up cube activity with this nRich task.

The diagram shows the net of a cube. Which edge meets the edge X when the net is folded to form the cube? More questions and solutions here.

Pop-Up

I absolutely love making the pop-up Spider for a Halloween activity. The pop-up spider is a dodecahedron painted black. Check out our blog post here for this and other Halloween maths ideas.

Alternatively, get pupils to construct equilateral triangles using a compass, therefore create the net for this pop-up octahedron. Check out our post ‘A lesson off-never’ here for further details.

n-Rich Dodecamagic

Here you see the front and back views of a dodecahedron which is a solid made up of pentagonal faces.  Using twenty of the numbers from 1 to 25, each vertex has been numbered so that the numbers around each pentagonal face add up to 65. The number F is the number of faces of the solid. Can you find all the missing numbers?

You might like to make a dodecahedron (pop up or not) and write the numbers at the vertices.

Check out the n-Rich task here.

n-Rich Magic Octahedron

In a Magic Octahedron, the four numbers on the faces that meet at a vertex add up to make the same total for every vertex. If the letters F,G,H,J and K are replaced with the numbers 2,4,6,7 and 8, in some order, to make a Magic octahedron, what is the value of G+J? Click here for the website and access to solutions.

Build-Up (Virtually) with Building Houses

This can be used on the interactive whiteboard to build with ‘virtual’ cubic cubes by pupils or teacher. The shape can be rotated to consider different views (side/front elevation etc). Check out the website here. Colleen Young has a great blog on the use of this app, check it out here.

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## Spooktacular Colour by Numbers

Colour by number is a well known childhood activity and in most cases requires no maths other than number recognition. Take for example this Halloween Scarecrow picture, which I have completed online using the Color It by Numbers website here. As you can see each number represents a particular colour and once finished the image is more defined.

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To add difficulty to this activity and make suitable for older children we’ve created our MathArt worksheets. Here is an example solution sheet, taken from our Halloween Maths: Simplifying Expressions Math Art resource.

In this type of activity pupils must answer the questions and then shade all the squares with that answer with the colour indicated, resulting in a Halloween picture. There are two different Halloween MathArt resources available in our Halloween Bundle.

To add further challenge and set a homework task, I use a blank and much simpler template such as this pumpkin picture taken from Coloritbynumber.com here, and ask pupils to create their own question with the correct answers placed in the grid. Pupils will need to group the questions by colour.

You could ask pupils to create a set of questions limited by topic area for example; BIDMAS, solving equations, area, perimeter, evaluating formulae, alternatively pupils could create it based on a number of topics recently studied. Their work (when checked) could then be given an a starter of homework activity for another class. Here is an the example I show the pupils;

Other Halloween Activities we Love

Relay Races

We love relay races as a great team and review activity, check out our blog post here about how to run a relay race. A collection of relay races for all occasions, not just Halloween, can be downloaded from here made by Chris Smith @AAP03102.

Skeleton Rotational Symmetry

Check out our post on making some Halloween decorations using rotational symmetry here.

Witches Brew

Check out our blog here.

Sharon

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## Halloween Pop-Up Spiders and 3D Shapes

Our next idea for a mathematical Halloween activity involves 3D shapes. Using a pop-up dodecahedron pupils can review the properties of 3D shapes such as vertices, faces and edges and have a great pop-up spider to take home.

Where’s the maths

• Nets of 3D shapes
• Properties of shapes; faces, edges and vertices
• Planes of symmetry
• Angle properties of each face of the dodecahedron

You will need

• Template of a dodecahedron, download one from Sen teacher website from here.
• Some black card
• Elastic bands
• Black pipe cleaners for the legs
• Elastic bands for pop-up ability
• Stick on eyes

How

Download a template of a dodecahedron from here the SEN website and use as a template.

Cut out the dodecahedron on black card but separate into two pieces like this;

Now test the pop-up ability of your spider by following this quick video;

Then decorate your spiders with eyes and legs made from pipe cleaners! Alternatively make a normal 3D Dodecahedron to make a spider that does not pop-up!

We like to hear how the ideas worked for you and would love to see a picture of any spiders made by your class!

Check this out made by @jonsmcest!

Get in touch @numberloving and check out our free and premium resources in our NumberLoving Store.