There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Shape (3D). In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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### Shape (3D) Starters:

Dice Nets: Determine whether the given nets would fold to produce a dice.

Dice Reflections: A dice is reflected in two mirrors. What numbers can be seen?

Faces and Edges: Find the number of faces, edges and vertices on some familiar objects.

Icosahedron: How many triangles are there on the surface of a regular icosahedron.

#### Tran Tunnels

Answer the questions as you find your way through the tunnels. Collect coins on the way. There's a musical theme to this adventure game and you won't be able to complete it unless you solve all of the clues.

### Curriculum for Shape (3D):

#### Year 5

Pupils should be taught to identify 3-D shapes, including cubes and other cuboids, from 2-D representations more...

Pupils should be taught to estimate volume [for example, using 1 cm3 blocks to build cuboids (including cubes)] and capacity [for example, using water] more...

#### Year 6

Pupils should be taught to recognise, describe and build simple 3-D shapes, including making nets more...

Pupils should be taught to recognise when it is possible to use formulae for area and volume of shapes more...

Pupils should be taught to calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres and cubic metres, and extending to other units more...

#### Years 7 to 9

Pupils should be taught to derive and apply formulae to calculate and solve problems involving: perimeter and area of triangles, parallelograms, trapezia, volume of cuboids (including cubes) and other prisms (including cylinders) more...

Pupils should be taught to use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D more...

#### Years 10 and 11

Pupils should be taught to construct and interpret plans and elevations of 3D shapes more...

Pupils should be taught to calculate surface areas and volumes of spheres, pyramids, cones and composite solids more...

Pupils should be taught to apply Pythagorasâ€™ Theorem and trigonometric ratios to find angles and lengths in right-angled triangles {and, where possible, general triangles} in 2 {and 3} dimensional figures more...

### Feedback:

Comment recorded on the 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull:

"Dear Transum,

I love you website I use it every maths lesson I have with every year group! I don't know were I would turn to with out you!"

Comment recorded on the 17 November 'Starter of the Day' page by Amy Thay, Coventry:

"Thank you so much for your wonderful site. I have so much material to use in class and inspire me to try something a little different more often. I am going to show my maths department your website and encourage them to use it too. How lovely that you have compiled such a great resource to help teachers and pupils.
Thanks again"

Comment recorded on the 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich:

"My year five children look forward to their daily challenge and enjoy the problems as much as I do. A great resource - thanks a million."

Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, :

"We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much
Best wishes from Inger Kisby"

Comment recorded on the 9 April 'Starter of the Day' page by Jan, South Canterbury:

"Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you."

Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:

"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:

"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

Comment recorded on the 9 May 'Starter of the Day' page by Liz, Kuwait:

"I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun."

Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

### Notes:

A particular skill is required to be able to excel in this area of Mathematics. Spatial awareness is important for solving multi-step problems that arise in areas such as architecture, engineering, science, art, games, and everyday life. Children have varying abilities visualizing three dimensional relationships but these abilities can be developed through practical activities and working through mathematical problems. Breaking down three dimensional situations into smaller two dimensional parts in an important strategy for problem solving.

### Shape (3D) Teacher Resources:

3D Trigonometry Presentation: A slide presentation (a poem) introducing using trigonometry (including Pythagoras' Theorem) to find lengths and angles on three dimensional shapes.

Cube Construction: This is a simple interactive that does nothing more than allow you to create 3D drawings of models made with cubes.

The Great Dodecahedron: Pupils are not allowed to use their hands to point but must describe fully any shapes they can see in this picture.

### Shape (3D) Activities:

Cubical Net Challenge: Find all the ways of painting the faces of cubes using only two colours.

Cylinders: Apply formulae for the volumes and surface areas of cylinders to answer a wide variety of questions

Dice Net Challenge: Drag the numbers onto the net so that when it is folded to form a cube numbers on opposite faces add up to prime numbers.

Faces, Edges and Vertices: Calculate the number of faces, edges and vertices on 3D Shapes.

Net or Not: Drag the nets into the corresponding panels to show whether they would fold to form a cube.

Plans and Elevations: Interpret plans and elevations of three dimensional shapes.

Puzzle Cube Net: A jumbled moving-block puzzle cube is shown as a net. Can you solve it?

Similar Shapes: Questions about the scale factors of lengths, areas and volumes of similar shapes.

Surface Area: Work out the surface areas of the given solid shapes.

Volume: Work out the volumes of the given solid shapes.

Yes No Questions: A game to determine the mathematical item by asking questions that can only be answered yes or no.

Finally there is Topic Test, a set of 10 randomly chosen, multiple choice questions suggested by people from around the world.

### Shape (3D) Videos:

Platonic Solids: What are platonic solids and why are there only five of them?

Tetrahedron and Pyramid: A tetrahedron and a pyramid have edges of equal length. If they are glued together on a triangular face with the vertices aligned, how many faces will the new shape have?

Volumes of Cylinders: Dr Frost demonstrates how to find the volume of a cylinder with a number of worked examples.

### Shape (3D) Worksheets/Printables:

Cube Calendar Nets: Printable nets for a desk calendar which show the day of the month.

Dodecahedron Calendar: The net of a dodecahedron with this year's calendar printed on its faces.

Net or Not Printable: A printable series of sheets to support the 'Not or Not' challenges and Starter.

Links to other websites containing resources for Shape (3D) are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below:

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#### Fractions by Wholes

An exercise on multiplying and dividing proper fractions and mixed numbers by whole numbers. So far this activity has been accessed 26 times and 3 people have earned a Transum Trophy for completing it.

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