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

mobileUsing 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.  CIMG0057Midget 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.

imageNRich 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.)


image imageOften 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.

imageNet 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.



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.IMG00133-20111104-1331

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

imageIn 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.

Thank you for reading NumberLoving!

Spooktacular Colour by Numbers

30 Oct

Colour by number is a well known childhood activity and in most cases requires no maths other than number recognition.

paint by number completepaint by number blank






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.

To add difficulty to this activity each number can be replaced by a question with that numerical answer. For example this pumpkin colour by number requires students to solve the equations to find the value of x. Each answer is then one of the five colours. This worksheet can be downloaded from Education.com, which is a free account based website.

I am still not satisfied that there is enough challenge for all pupils, in which case I use a blank template such as this bat picture below taken from Coloritbynumber.com here, and ask pupils to create their own question with the correct numerical values for which ever topic is most relevant. blank bat

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.

Other Halloween Activities we Love

Relay Races

halloween relayWe 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

witches brew

Check out our blog here.

Thank you for reading NumberLoving!

Sharon and Laura


Volume with Mario and Luigi

30 Oct

angry2One 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.

minecraft_steveSome 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;

mario_bros___cubeecraft___papercraft_by_marcokobashigawa-d6z2mps cube mariomushroom
luigi_mario_bros___cubeecraft___papercraft_by_marcokobashigawa-d6z2luxSo 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!

Pimp Your Displays

25 Oct

Hello Readers!

Its been a while since we’ve blogged, we promise it’s for a good reason as we work behind the scenes on the next phase for NumberLoving which we can’t wait to share!! Watch this space!

In the meantime, I want to talk about ‘pimping’ those display! This year one of our focuses is displays, in and out of the classroom. We want to not only update them but reinvigorate them, move away from the dull, unnegiotable displays that have existed for years, to exciting and moveable, easily updated and useful displays!! This year we are rotating department time around the maths classrooms, each teacher hosts; setting up tables, providing a puzzle and putting the kettle! The department then decide on 2 stars and a wish for the room! I got this idea from Mr Jon Colebrook @ColebrookJon at the SSAT London Achievement Show 2015, so simple but effective as everyone takes pride in their classroom and the learning environment they provide!

Celebrating Pupil Work

Great Work Hangs Out Here

Check out my newest display, eagerly awaiting great work! The pegs make this one of the most versatile displays for celebrating pupils work. I’ve used it to peg Y12 A Level maths work up after marking a homework assessment. Also great during the lesson to peg examples of excellent answers!

I also love ‘This work is Incredible’ with Hulk presiding over the work shared by @HeadofEnglish here! Another example using pegs for interchangeable displays!

Variations on this could be an ‘In the Spotlight” display using paper that looks like stage spotlight and a “Wall of Fame”.

How do you measure up?measure2

This display is perfect for the classroom or communal areas to encourage numeracy conversations as well as give pupils more experience of estimating heights. Using a printed ruler (or Ikea paper rulers), pinned at the correct height. Update regularly with the heights and pictures of the latest A-Z list celebrities.

BIDMAS/Countdown Corner

Simple idea, give pupils a target and they have to use the operations to make the target number just like the game show.

Alternatively create a countdown corner. Great for starters, or on-going challenges.

How to Learn Mathsimage

I found this great resource on the TES website here, by Complex_Number. I agree completely that we have to encourage pupils to recognise mistakes as learning opportunities! I printed two copies on two different colours to create two displays for different classrooms by mixing up the colours! Here is one of the displays

Area Perimeter Door


Simply use the classroom  door to remind pupils of the difference between area and perimeter.


Using pre-cut lettering alongside a door or a window to provide this visual of the key terminology.

Suduko Challenge

imageInteractive display, I let pupils complete the suduko. By using PVC electrical tape I have created a damage free display on a painted wall. The tape peels away leaving no marks. You can see the black velcro tabs, these are placed on top of the yellow tape, i.e. damage free walls and a great activity.

The pouch at the bottom holds the remaining cards and a book of suduko’s of varying challenge.

This display is total versatile because it is essential a 9 by 9 grid. Therefore it can also be used when teaching place value, multiplying and dividing by powers of ten, translations, enlargements, coordinates and so much more!

Mathematics Around the World

Create a display by asking pupils to create a Facebook profile for famous mathematicians from around the world and use string to show their country. Thank you to Mrs Walters for this awesome display!

Instant Display Work

barchartPost-it notes and window crayons, rolls of back paper, magic whiteboard and any surface can become a display area.

We have blogged about window crayons before, check out our blog here.

Magic whiteboard, wallpaper rolls also great to create instant display of pupils’ work.

So many great bunting ideas to choose from JustMaths have blogged here about A-Z keyword bunting here. Or Miss Radders discusses how to make bunting from old maths text books here. Also MissBResurce’s has an awesome collection of display resources including shape and formulae (by Mr Collins) bunting here.

imageAlternatively make your own like Mr Saunder’s specially requested ‘Maths is Boss’ bunting.

Literacy in Maths Displays

Mrs Rojas shares how she has created her boggle display here and includes free printables. This is my next project which is ideal for the maths classroom too!

Pupils have to make words using the letters on display, award double points for mathematical words. Increase the difficulty by adding the rule that the letters must ‘connect’, vertically, horizontally or diagonally. Using sticky back Velcro again allows the alphabet cards to be changed on a daily basis!image

Key Action Words

In every maths classroom, all the key action words. These are referred to on a daily basis.

Corridor Displays

Elements of Maths: From the awesome Just Maths team find their elements of maths display and resources here. Great for classroom or department display.

Room Numbers: Pimp your room numbers, instead of 5 use operations that give an answer of 5.

Celebration Wall: Celebrate success in using Wall of Fame, in the spotlight!

NumberLoving’s Display Shopping List

Pegs– essential to make your displays interchangeable.

Pre-cut lettering– Widely available on the internet, or if your DT has a laser cutter get them to cut some out! How have I not known about this until now?!

Velcro tabs– these provide another way of keeping your displays adaptable (Suduko or Boggle). Remember stick these on top of PVC electrical tape to avoid damage to walls.

Velcro Wall- Use felt to create a velcro wall, a great idea shared at the recent school Learning Fair by Miss Austin.

Laminator– Essential, means you can keep display for re-use in a year or two or in another classroom.

String or Ribbon– for bunting or clothes line (see great work hangs out here)

Sticky Back Plastic– reinvigorate old filing cabinets or book shelves!

Window Crayons- instant display as pupils complete questions on glass

Thank you for reading NumberLoving!

Christmas Christmaths Collection 2014

14 Dec

The week ahead is the last week for many schools before the Christmas holidays and so we have collected some of our favourite Christmaths activities. We would also like to wish everyone a Merry Christmas and a Happy New Year which brings new and exciting developments for NumberLoving, watch this space!

Christmas Mysteries

Laura has created two mysteries called “how many elves” and “white Christmas. Mysteries is a thinking skills activities in which pupils use the clue cards, organising the information, making calculations where necessary in order to answer the questions posed. These can be downloaded here .

how many elvesHow many elves?
In this task students must use knowledge of number, percentages and time to work out how many elves Santa needs to hire to make all the Christmas gifts on time!

White Christmas
In this task students have to use the clues to work out where in the UK is most likely to have a white Christmas this year.  All data is accurate. Students could then plot the places on a map to see if they notice any patterns in the probabilities they have calculated.

The Christmas Pirate Game

This game has been adapted from Mr Paul Collins original Pirate Game to give it a Christmas edge. The Christmas version of the game can be downloaded from TES here. Mr Collins blog of Christmas & maths activities is definitely worth checking out here.

Christmas Maths Relay Race

Chris Smith’s relay races include a Christmas themed relay race and can be downloaded from the TES here. For more details on how to run a relay race check out our post on using relays for revision here.


Challenge your pupils to use graphing software to create a Christmas tree like this one on Desmos here.

Looking for more ideas?

Also check out our previous posts “Christmaths Collection” and “Christmaths Collection Part 2” for more ideas of Christmas themed maths activities.


Buzzing about my new buzzers!

23 Nov

I love my new buzzers and so do the pupils! They add a bit of fun to a wide variety of classroom activities. These farmyard buzzers are called learning resource buzzers and are available here (as well as other places). They are sold in sets of 4, so I have invested in the farmyard set to the left and the answer buzzers below so that I have 8 available.

Simply add to a game a of bingo to add an element of fun, pupils who get a line or a full house press the buzzer instead of shouting bingo. The desks are in groups in my classroom so I place one buzzer on each desk so that it is in arms reach of 5-6 pupils. Check out our blog “Bingo is Jackpot Joy” for other ideas and resources for mathematical bingo.

Again simply put the buzzers in arm reach of groups of pupils when playing countdown. I found this really helps especially when pupils need longer than the standard 30 seconds. Pupils can buzz when they get the answer or depending on ability when they are within 5 of the target number. I use SubTangent countdown here when playing with a class.

81zxyVnDnwL._SL1500_Numbered heads together is a Kagan approach, see previous post here on the cooperative learning techniques including Numbered Heads together. In my buzzer adaptation of the game pupils are put into groups, each group is given a buzzer. All pupils complete a question in silence on mini whiteboards. When they have completed the question they stand up, when the whole team has stood up they can then discuss. If they all agree they press the buzzer, if not they must sit back down again until they can convince each other of the correct answer. I would also use a scoring system similar to the one used for relay races (another fun classroom activity described here in our blog “anything but more past papers” which looks at different ways of revising with exam classes).

So many different ways to use the buzzers, they were more than a worthwhile investment!

NumberLoving is entering its next stage of development and we look forward to bringing you even more in the New Year, make sure you check back soon!

Bells for BIDMAS and More

16 Nov

Hi there! We haven’t blogged in a while as we are busy behind the scenes bringing you some changes to the website and a lot of great new resources, please watch this space!

UntitledBIDMAS Bells

The class is split into eight groups and each group is given a bell. Each bell is numbered, if the answer to the question is the same as their group’s bell they should ring the bell. At first the pupils are likely to be too slow to recognise the tune and therefore you may need to go back the beginning and repeat to here the tune. It is an ideal activity for a short plenary.

In this version of the game the order of the questions is important and should follow the same numbers as the tunes provided on the tun sheet. You set some of the pupils a challenge to come up with questions relevant to the topic studying which give the answers to follow one of the tunes provided with the bells.

This BIDMAS bells PowerPoint contains questions which if played in the correct order will play the tune “twinkle twinkle little star”.

Other Ideas

Another adaption would be to group pupils and give each group a bell. All pupils will be given an answer card, and for each answer card there is a question. The order of the questions is again important. Use the interactive display board to pose a question to the class, if pupils have the answer to the question the ring the bell. The trick here is to first make the questions and answers, one for each note of the tune. Then assign each question card to the corresponding bell by numbering the question card. Then group all the cards for each bell, mixing them up so the order isn’t clear.For example if the tune was 1, 2, 2 (the numbers on the bell) a pupil from the group with bell one would need the answer to question 1 and pupils from the group with bell 2 would need the answers to question 2 and 3! This is slightly more complicated to prepare but worth it. My top tip is to label the back of the answer cards with which bell number it belongs to!

They can also add fun to quizzes or team games, not as tuneful but great fun!

About the Bells

The bells are called handbells and are sold in sets.You can buy them from here and many other places, always check that they come with a handy tune sheet.

We hope you find the ideas useful and we would love to hear your feedback on how the ideas work for you. You should also check out our resource site www.numberloving.co.uk


Thanks for reading!



Get every new post delivered to your Inbox.

Join 2,571 other followers