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.
Small images of these Starters    Complete Index of Starters
Curriculum for Shape (3D):Year 5Pupils should be taught to identify 3D shapes, including cubes and other cuboids, from 2D representations more... Pupils should be taught to estimate volume [for example, using 1 cm^{3} blocks to build cuboids (including cubes)] and capacity [for example, using water] more... Year 6Pupils should be taught to recognise, describe and build simple 3D 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 9Pupils 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 3D more... Years 10 and 11Pupils 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 rightangled triangles {and, where possible, general triangles} in 2 {and 3} dimensional figures more... Feedback: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. Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School: "My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions." Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School: "This is a great memory aid which could be used for formulae or key facts etc  in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is  my pupils love it! Comment recorded on the 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast: "My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please." Comment recorded on the 6 May 'Starter of the Day' page by Natalie, London: "I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable." 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 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College: "Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities. 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" 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 3 October 'Starter of the Day' page by Fiona Bray, Cams Hill School: "This is an excellent website. We all often use the starters as the pupils come in the door and get settled as we take the register." 
Notes:A particular skill is required to be able to excel in this area of Mathematics. Spatial awareness is important for solving multistep 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 movingblock 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. Shape (3D) External Links: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: SearchThe activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the box below.
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