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Properties of 3D shapes Key Resources Year Target Group Target / Models and Outcomes Images 2 D shapes Understand use in a practical context: shape, solid, hollow, edge, face, straight, curved, point, corner Name solid shapes such Feely bag Yr 1 Must as cube, cone and Crayons/pencils/p Recognise and name the following shapes: sphere. aper/ Sand Cube, Cuboid, Sphere, Cylinder, Cone Understanding 3d shape Use everyday language Plasticine / Biscuit Identify shapes in the classroom: for example, Shape and to describe the features Dough and shape -find a cuboid (box) Should cutters space of 3-D shapes. -find a cylinder (baked beans tin). activities Geo boards booklet Objects with Sort 3-D shapes in different ways according to properties like: different shaped -whether they have any corners; faces -whether all their edges are straight; Shape tools Use mathematical Digital camera -whether they are solid or hollow. vocabulary to describe Further 3-D shapes; sort shapes Shapes Songs. Using a collection of solid shapes, choose an example, and describe it. For example: examples of and describe some of For example -This shape has six faces, and each face is a rectangle. pitch and their features. Dave Godfrey -This shape has five faces – four are triangles and one is square. expectations: “Number Fun” -This cube has 12 edges… songs. Foundation to Shape fan Recognise a solid shape placed in hands behind back and be able to name it by feeling. year 1 3d shape properties Make 3-D shapes using constructions kits, straws, clay, plasticine, everyday materials etc. Year 1 Shape and space Begin to relate 3-D shapes to pictures of them e.g. match solids to pictures of them, use bricks to build activities booklet models from pictures. Information Shape tools Describe the model or pattern and say which shapes have been used to make it. For example: - teaching Could -The top of this tree is a sphere and its trunk is a cylinder. mental ICT files -This house is made from a cube and its roof is a pyramid… calculation strategies Problem solving Look at this collection of objects or shapes. Shut your eyes while I pick one up and hide it. Open your - teaching materials eyes. Tell me which object or shape I have hidden. written strategies Number lines Sort and classify shapes using Venn and Carroll diagrams, e.g. all the 3-D solids with a rectangular Odd one out face - exemplification 5rectangles of standards 1b-1a 1 3-D shapes Recognise and name the following shapes: Use everyday language Pictures of 3-D Yr 2 Must to describe the features shapes Cube, Cuboid, Sphere, Cylinder, Cone, Pyramid of 3-D shapes. Labels of shape Describe some of the features of 3D shapes including the shapes of faces, the number of faces, edges names/key and corners. Understanding Use mathematical vocabulary 3d shape vocabulary to describe Every day objects Using a set of solid shapes, choose an example to match properties described by others, e.g. Show me Shape and 3-D shapes; sort shapes e.g. boxes, balls, the shapes that have: at least one rectangular face, one curved face, eight corners, space and describe some of tins etc. activities their features. Yes/No cards Answer „Yes‟ or „No‟ questions about a hidden shape in order to identify it booklet Construction kits Describe the shape or solid in the cloth bag as you feel it. What might it be? Why? How do you know Straws, clay, this shape is a …? How do you know this shape isn't a …? Plasticine, Imagine a cube. Four faces are yellow; the rest are blue. How many faces are blue? Shape tools Describe this shape/solid to a friend. Can they guess what it is? multilink Further Hoops for sorting Use their knowledge of shape names and properties, for example to predict which 3-D shapes will roll examples of and which will slide when placed on a slope pitch and ICT files expectations: Sort 3-D shapes in different ways according to their properties of their faces such as whether they: Problem solving have six faces; have a triangular face, a rectangular face …. year 2 materials Should They recognise and name shapes in different positions and orientations, including in pictures, Information Line of symmetry Make and describe shape patterns using solid shapes. - teaching Spot the shapes mental Making shapes Relate solid shapes to pictures of them. calculation Creating shapes strategies Number lines Match familiar solids to their pictures and use a construction kit to make a model of a 3-D solid that I Odd one out know - teaching Build models out of 3-D shapes and record the shapes used. For example: Jack and the written strategies beanstalk Coloured shape My model was made with 7 cuboids, 10 cubes, Triangles and 6 cylinders and 1 cone. - exemplification of standards pentagons Make a skeleton shape from a construction kit or straws, and count the Bucket and spade number of edges or corners. 6triangles Classify and describe 3D shapes and Relate 3-D shapes to pictures of them. Could understand the terms For example: vertex and prism. match familiar solids to their pictures; use cubes to make „single-layered‟ solids from pictures. 2c-2b Key Resources Year Target Group Target / Models and Outcomes Images Use mathematical Recognise and name the following shapes: vocabulary to describe 3-D shapes Yr 3 Must 3D shapes; sort shapes Pictures of 3-D Cube, Cuboid (Rectangular Prism), Sphere, Cylinder, Cone, Pyramid, Triangular Prism and describe some of shapes Read and use the terms „vertex‟ and „vertices‟ their features. Labels of shape Recognise 3-D shapes and make collections, for example, of shapes that are prisms. Understanding names/key Know that a prism has the same cross-section along its length, and that its two end-faces are 3d shape vocabulary identical. Shape and Classify and describe Every day objects Name and describe solids, using the correct language: 'A triangular prism has two identical space 3D shapes and e.g. boxes, balls, triangular faces at opposite ends and the other three faces are rectangles'; 'A hemisphere is a Should sphere cut in half. It has one flat face and a curved surface.' activities understand the terms tins etc. booklet vertex and prism. Yes/No cards Sort 3-D shapes using criteria such as the number of vertices, edges or faces . They find the Construction number of edges of assorted prisms to investigate the general statement : The number of kits/polydron edges of a prism is always a multiple of 3. Shape tools Straws, pipe Sort 3-D shapes in different ways according to properties such as: Further Classify and describe cleaners, clay, -Whether or not they are prisms examples of 3D shapes and visualise Plasticine -The number of faces, edges, vertices pitch and 3D shapes from 2D Hoops for sorting expectations: To draw a picture of a cube, would you use straight or curved lines? What about a cylinder? drawings (including being able to identify Select from this set a shape that has: year 3 no right angles; simple nets of solid ICT files shapes). Names and all sides equal; Information five vertices. properties of 2D - teaching and 3D shapes Relate 3D shapes to pictures of them, for example match mental Shape sort familiar 3-D shapes to pictures of them calculation 3d shape facts Use cubes to build double-layered solids from pictures. strategies Quadrilateral- triangle Venn - teaching diagram sorter written Could Recognise that two or more shapes can be put together strategies in different ways to make new shapes. For example, find different shapes that can be made by fitting four cubes - exemplification Problem solving together face to face. of standards materials Create new I dip a triangular prism in paint and make a print of each face. What shapes will I print? shapes Sorting shapes use appropriate mathematical vocabulary to describe the features of common 2-D and 3-D Describing shapes including semicircles, hemispheres and prisms position 2a-3c Rows of coins Odds and evens Straw squares Circle sums 3-D shapes Recognise, name and describe the following shapes: Classify and describe Pictures of 3-D 3D shapes and shapes cube, cuboid (rectangular prism), sphere, cylinder, cone, pyramid, prism, triangular prism, hemi- Yr 4 Must sphere, tetrahedron, polyhedron understand the terms Labels of shape vertex and prism. names/key Know that a prism has the same cross section along its length and that the two end faces are vocabulary identical Every day objects Identify simple nets of 3D shapes e.g. unfolded packets which are cubes or cuboids. Understanding Describe 3D shapes and e.g. boxes, balls, Draw in lines where you would fold this shape to make a cube. 3d shape visualise from 2D tins etc. Use a ruler to measure where they would go. Shape and drawings (including Construction Should I am thinking of a 3-D shape. It has a square base. It has four other space being able to identify kits/polydron activities simple nets of solid Straws, pipe faces, which are triangles. What is the name of the 3-D shape? booklet shapes). cleaners, clay, Know that in a polyhedron: Plasticine, multi- Each face is a flat surface and a polygon Shape tools link An edge is the straight line where two faces meet Classify and describe Hoops for sorting A vertex is the point where two or more faces meet Further 3D shapes and visualise examples of from 2D drawings Visualise 3D shapes from 2D drawings, e.g. work out how many cubes will be needed to make a pitch and ICT files given picture. (including being able to expectations: Names and identify the shapes of faces of common 3-D shapes, and count the number of faces, edges and identify the nets of an properties of 2D vertices (corners) of cubes, cuboids, pyramids and prisms. year 4 open cube). and 3D shapes From their experience of handling 3-D shapes and describing their properties, they visualise mental Properties of 3D images of the shapes. Information shapes They can name a 3-D shape which has been secretly hidden in a drawstring bag. They look at 3D shape properties drawings of 3-D shapes and relate them to real shapes. - teaching Shape quiz mental Name three different 3-D shapes that can have at least one square face. calculation 3d shape facts Here is a cereal packet. Describe what you think its net might look like. strategies Carroll diagrams for sorting shapes Anna makes a cube using straws. First she joins four straws to make a - teaching Quadrilateral- square. Then she joins more straws to make a cube. Altogether, how written Could triangle Venn many straws has she used? strategies diagram sorter There are three shapes in a row. What order are they in and what colour - exemplification Problem solving are they? Clues: The cube is in the middle.; The pink shape is not on the right. ; The red shape of standards is next to the pyramid; The cone is not blue. materials Reflecting shapes Rows of coins Look at a picture of a model made from interlocking cubes and Odds and evens predict the least number of cubes needed to build it. Straw squares They then build the shape to check whether they are Circle sums correct. Tangram 3 by 3 grid Use their knowledge of the faces of 3-D shapes to begin to construct their own net of a cuboid construct the net of an open cube using a set-square and ruler to draw the five squares construct the net of an open cuboid. construct a model using cubes, take a digital photograph of it, then challenge others to recreate it. 3c-3b Key Resources Year Target Group Target / Models and Outcomes Images 3-D shapes Recognise, name and describe the following shapes: Describe 3-D shapes Pictures of 3-D and visualise from 2-D shapes cube, cuboid (rectangular prism), sphere, cylinder, cone, pyramid, prism, triangular prism, hemi-sphere, tetrahedron, octahedron, polyhedron drawings (including Labels of shape Yr 5 Must being able to identify names/key I am thinking of a 3-D shape. It has a square base. It has four other faces which are triangles. What simple nets of solid vocabulary is the name of the 3-D shape? shapes). Every day objects e.g. boxes, balls, Look at these diagrams. Which of them are nets of a square-based pyramid? tins etc. Explain how you know. Construction Understanding kits/polydron 3d shape Classify and describe 3- Straws, pipe Shape and D shapes and visualise cleaners, clay, Is this a net for an open cube? Explain why not. space from 2-D drawings Plasticine, multi- activities Should (including being able to link booklet identify the nets of an Hoops for sorting visualise and describe 3-D shapes according to a range of properties including: open cube). the shapes of faces, Shape tools the number of faces, edges and vertices, ICT files and whether the number of edges meeting at each vertex is the same (as in a cube) or Further different (as in a square-based pyramid). examples of Shape quiz solve problems involving 3-D shapes, for example finding all of the possible nets for an open cube pitch and 3D shape properties or sorting a set of 3-D shapes using an ICT 'binary tree' program expectations: Carroll diagrams Classify, describe and identify the nets of 3-D for sorting shapes year 5 Quadrilateral- shapes (including closed Work out the least number of unit cubes needed to turn this shape into a cubes). triangle Venn cuboid. Information diagram sorter - teaching Problem solving mental materials extend their knowledge of the properties of 3-D and 2-D shapes, including the tetrahedron and Could octahedron calculation strategies identify shapes that have pairs of parallel or perpendicular sides or edges. Polyhedra chain explore how many different shapes they can make from five squares touching edge to edge. They - teaching Planet Zargon understand that if rotations and reflections of the shapes are not counted as different there are 12 written Cube face colour; shapes to be found. They investigate which of these shapes can be folded up to make an open strategies Five squares cube investigate the number of different shapes that can be made by placing four cubes face to face. - exemplification They draw accurate nets for a range of 3-D shapes, including the nets of prisms of standards 3a-4c 3-D shapes Recognise, name and describe the following shapes: Classify and describe Pictures of 3-D cube, cuboid (rectangular prism), sphere, cylinder, cone, pyramid, prism, triangular prism, 3D shapes and visualise shapes hemi-sphere, tetrahedron, octahedron, dodecahedron, polyhedron. from 2D drawings Labels of shape Describe the properties of 3-D shapes, such as parallel or perpendicular, faces or Yr 6 Must (including being able to names/key edges e.g. Look at this cube. How many edges are parallel to this one? How many identify the nets of an vocabulary edges are perpendicular to this one? open cube). Construction kits/polydron make and draw shapes and apply their knowledge of the properties; for example, they use art Straws, pipe straws to create 'skeleton' shapes Understanding cleaners, clay, 3d shape Plasticine, multi- Name and describe the properties of a dodecahedron Shape and Classify, describe and link Hoops for sorting Identify the nets of 3D shapes space identify the nets of 3D activities shapes (including closed Unit plans: Imagine a triangular prism. How many faces does it have? Are any booklet cubes). Autumn unit 8 of the faces parallel to each other? Autumn unit 10 How many pairs of parallel edges has a square-based pyramid? Shape tools Spring unit 8 How many perpendicular edges? Summer unit 3 Look at these 3-D shapes (e.g. a cuboid, tetrahedron, square- Further Summer unit 7 based pyramid and octahedron). Show me a face that is parallel to examples of Summer unit 11 this one. Which face is perpendicular to this one? pitch and Springboard What can you tell me about the faces of a cuboid? Why are so many packing boxes made in the expectations: Lesson 11 shape of a cuboid? Use your ruler and protractor. Draw the net of a regular tetrahedron with edges of 6 cm. Lesson 14 describe the shape generated by cutting through a tetrahedron or a triangular right prism in a year 6 Lesson 17 plane parallel to a base. Information Should Lesson 28 classify 3-D shapes using criteria such as 'has at least one pair of parallel faces'. investigate the number of edges, faces and vertices in polyhedra, record these in a table and - teaching ICT files explore the relationship: the number of vertices plus the number of faces equals the number of mental Rotations and edges. calculation coordinates Here are four diagrams. strategies Quadrilateral On each one put a tick ( ) if it is a net of a cube. rummy Put a cross ( ) if it is not. - teaching Problem solving written Add a square to complete the net to make a closed cube. strategies materials Polyhedra chain; Visualise 3-D shapes from 2-D - exemplification drawings e.g. find and justify the least number of cubes needed of standards Triangles; to complete a given shape. Symmetry ; Planet Zargon;; Cube face colour; Tangram; 3 by 3 grid; Cube nets Count the number of faces and edges. Recognise properties such as: Use 2-D representations all pyramids have an even number of edges; and oral descriptions to the number of straight edges in a prism is a multiple of 3; Could visualise 3-D shapes the number of faces of a pyramid is one more than the number of edges of the base; and deduce some of the number of faces of a prism is two more than the number of edges of an end face… their properties. 4b-4a 3-D shapes A cube has shaded triangles on three of its faces. Classify and describe Pictures of 3-D 3D shapes and visualise shapes Here is the net of the cube. from 2D drawings Labels of shape Draw in the two missing shaded triangles. Yr 6 Must (including being able to names/key identify the nets of an vocabulary open cube). Every day objects e.g. boxes, balls, tins etc. Construction Understanding kits/polydron Imagine you have two identical cubes. Place them together, matching face to face. Name and 3d shape Classify, describe and Straws, pipe describe the new solid. How many faces, edges, vertices…? Shape and identify the nets of 3D cleaners, clay, Imagine cutting off a corner of a cube. Describe the new face created. Describe space shapes (including closed Plasticine, multi- the new solid. How many faces, edges, vertices...? activities cubes). link booklet Should Hoops for sorting Unit plans: Sit back to back with a partner. Look at the picture of the model. Shape tools Autumn unit 8 Don‟t show it to your partner. Tell your partner how to build the model. Autumn unit 10 Further Spring unit 8 Join in a „guess the shape‟ activity. examples of Summer unit 3 A solid made from centimetre cubes is placed in a bag. pitch and Summer unit 7 a. Take turns to describe one element of the shape by feeling it. Others try to make the same shape. expectations: b. Take turns to describe the shape while others try to guess what it is. Summer unit 11 c. Guess a hidden solid shape by asking questions about it to which only yes/no answers can be Springboard given. year 6 into year 7 Use 2-D representations Lesson 11 On a six-sided dice, the faces are numbered from 1 to 6, and opposite faces and oral descriptions to Lesson 14 should add up to 7. Draw a net for a cube. Choose a face and write 5 on it. Now visualise 3-D shapes Lesson 17 write numbers on the other faces so that when the cube is folded up, opposite and deduce some of Lesson 28 faces add up to 7. their properties. ICT files Rotations and Find all possible solids that can be made from four cubes. Record the solids using isometric paper. coordinates Quadrilateral Could rummy Investigate the number of different ways that a 2 by 2 by 2 cube can be split Problem solving into two pieces: materials a. of the same shape and size; b. of different shapes and sizes. Polyhedra chain; Triangles; Symmetry ; Planet Zargon;; Cube face colour; Tangram; 3 by 3 5c-5b grid; Cube nets

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3D shape, shape matching, 3D model, shape descriptor, shape retrieval, 3d models, shape descriptors, 3D shapes, 3D Object, SHAPE ANALYSIS

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posted: | 3/2/2011 |

language: | English |

pages: | 7 |

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