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24 Mar

# A quick post about one of the four transformations- Translation!

Hook

Play Girls Aloud’s song “I can’t speak french” or “I like to move it” from Madagascar as pupils enter the classroom. Or turn it into a quick game of name the lesson topic instead of name that song.

Translation Mystery

Pupils use the clue cards to plot two shapes and translate them both twice, labeling each vertex and dis-ciphering the code. This mystery consists of two different difficulty levels (easy and hard). The easy cue cards describes each translation using words and pupils can plot the shapes on a 1-1 coordinate grid. The hard version requires pupils understand translations given as vectors.  Download the full resource and solutions from our TES store here and don’t forget to download the free starter which you could use with this lesson; also in our store here.

We’d love to hear how you hook your pupils in! Get in touch @numberloving and follow our Facebook NumberLoving Page

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## Pi Day Resources

9 Mar

It is nearly Pi Day, March 14th (3.14), so to celebrate try some of our resources from the seasonal Pi Day bundle. This bundle consists of three resources described below.

Pi Day Relay Race

A set of 16 relay race questions suitable for able KS4 pupils. The questions are progressively difficult, starting with the basics (see picture) to solving problems involving area, circumference or volume.

Print one set of questions for each group on different colours. Each group has a team captain, they retrieve the question from the front , taking it to the team to answer. Once they are confident they’ve got it correct they return it for marking. If correct they get 10 points and the next question. If they are wrong they can have a second attempt for 9 points.

Pi Day Collect a Joke

The pupils must calculate progressively difficult fractions of amounts (suitable for KS3 pupils), each answer gives a letter spelling out the punchline to the Pi Day joke. This resources includes ‘red herrings’ for quick self and teacher assessment. This resource is free to download as part of try before you buy!

Pi Day Mystery

Pupils are challenged to use the clues to plot all five circles and find the point of intersection. They will need to use and inverse the formulas for the area and circumference of a circle, as well as some Pythagoras’ Theorem.

Each resource includes instructions, ideas for support/extension and solutions.

All three are available in our Pi Day bundle, check it out here.

Check out this blog “Plan a Pi Day Party” by Gary Hopkins for Educational world for more great ideas and resources to celebrate Pi Day.

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11 Feb

A nice, simple display for all the doors in the department!

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## 3-D Shapes in more than 3-ways

3 Nov

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’ here.

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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## Volume with Mario and Luigi

30 Oct

One of our most popular blog posts to date has been “Nets to catch Angry Birds” (view here) in which these computer game characters are constructed into 3D shapes using nets. Leading to investigations about area, volume, surface area and scale factors and some great display work.

In our pursuit to continue to “Pimp Our Displays” as described in an earlier post here, I wanted to do something different to Angry Birds. I’ll admit I am not an avid game player at all but even I know Minecraft is big and very ‘blocky’ in its nature, so I went searching and it really didn’t take long, here is what I found. First I came across this TES resource, which includes the net of a Minecraft zombie and creeper, this was uploaded by Daniohara.

Some further research and I found FPS-X-Games.com blog by Steven Bear and his printable resources on his post “Minecraft Mob” here. His post includes nets to build Steve the Minecraft character, shown on the left. Nets to make the Creeper, the Pig, the Zombie and the Spider.

Barking Dog also provides printable nets for the Minecraft materials such as sand, dirt, stone and grass, check it out here. And check out a Minecraft Fan Club page here with more printable nets.

I was still not satisfied, I continued to think about how I could bring the classwork into a great display and bingo I thought Mario! Mario is timeless, everyone knows Mario, Luigi, those blocks and that tune!

Wow check out this site Deviant Art and Taringa.net from here I downloaded the resources ready for the Mario class and display work. So the plan is to print these in full colour, pupils can then construct, consolidating their learning about surface area. I will then make a Mario 3D display, by having at least two separate rows of 3D mystery blocks and 3D versions of Mario, Luigi and the other characters. I will then get the pupils to do the calculations of volume or surface area alongside the display!

Check these out nets;

So what if Mario is not your thing, just image search “Cubecraft Cartoons” and if there is a cartoon character you can think of I bet it is there!

Thanks for reading NumberLoving, we hope you find the ideas useful! Get in touch @numberloving and check out our free and premium resources in our TES NumberLoving Store.

## Body Surface Area and other fun tasks!

24 Mar

One of my absolute favourite websites for practical lesson ideas is teach maths. It is full of free lesson plans across the whole curriculum, more importantly all of the lessons are hands on and practical. So far I have tried two lessons from this site, both of which have been brilliant!

The first of these is on body-surface area, the plan is available here. Basically students have to calculate the surface area of their body. In order to do this they have to split their body into different shapes (I show them the slide above for inspiration) then they take the necessary measurements to calculate the surface area of each shape. This has a lot of real-life applications, the most interesting being calculating doses for things like chemotherapy. Once they have an answer there is a formula which the medical profession use, they can apply this formula to see how close their estimates are.

The second lesson is on discovering the formulae for the volume of a pyramid, the lesson plan is available here. In this lesson students construct six pyramids which they fit together to make a cube. They can then see that the volume of one pyramid is one sixth of the volume of the cube, a bit of algebra later and hey presto the formula for the volume of a pyramid is discovered!

Both of these lessons have worked really well for me, students have been really engaged and more importantly have been forced to think for themselves. Along with these lessons are many other brilliant ideas which I can’t rate highly enough, well worth a look.

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## Mathematical Shapes Calendar, Origami

3 Jan

New Year, New calendar

Inspired by David Mitchell’s Mathematical Origami book , I started to think what about using an origami dodecahedron as a calendar! A quick search revealed it had been done!

Todd’s place will produce rhombic calendars in different languages, with or without guidelines, you can also change the font and colours too. However you will need to save as a PS file and then use the online converter detailed on the site.

Another great website with a wide variety of 3D shape Origami calendars are available from this website CDO. The site is in Italian but also has printable in English and other languages. I found the guidelines on the printouts very useful.

This video below shows how to make one of my favourites and not just because it looks great but I also think it would be interesting to ask pupils work out the surface area of the completed shape.

To increase the difficulty pupils could use pencil and compass techniques to construct each of the faces and then construct! Great for extra curricular maths club!

Inspired by my colleague Sister Mary-Anne I have been thinking how else to use flexagons, and have found these on the Origami Resource Centre with a calendar based on a pentahexaflexagon by Ralph Jones.

Check out their website for templates like this (to the right ). Scroll down to Flexagon Calendars to download the 2013 printable worksheets to make your own and there are also links to video instructions.

Happy New Year to all Number Loving Readers from Sharon and Laura! Get in touch @numberloving and check out our free and premium resources in our TES NumberLoving Store.