ࡱ> df_`abc[ jbjbj  jjflHHHHHJJ rTrTrTrTforLD d_s%d\f_s_srTrT_sXrTrT_sF A-Ti rTJ `%ބ@Hv  i 0J z8i Properties of 3D shapes Year TargetGroup TargetKey Resources / Models and ImagesOutcomesYr 1 Must Name solid shapes such as cube, cone and sphere.2 D shapes Feely bag Crayons/pencils/paper/ Sand Plasticine / Biscuit Dough and shape cutters Geo boards Objects with different shaped faces Digital camera Shapes Songs. For example Dave Godfrey Number Fun songs. HYPERLINK "Shape_Fan.pdf"Shape fan HYPERLINK "3D_shapes_Y1.notebook"3d shape properties HYPERLINK "shape and space.pdf"Shape and space activities booklet HYPERLINK "shape_tools.notebook"Shape tools HYPERLINK "ICT to support shape.ppt"ICT files Problem solving materials HYPERLINK "\\numberlines.notebook"Number lines HYPERLINK "odd_one_out.notebook"Odd one out HYPERLINK "5rectangles.notebook"5rectangles Understand use in a practical context: shape, solid, hollow, edge, face, straight, curved, point, corner Recognise and name the following shapes: Cube, Cuboid, Sphere, Cylinder, Cone Identify shapes in the classroom: for example, -find a cuboid (box) -find a cylinder (baked beans tin). Sort 3-D shapes in different ways according to properties like: -whether they have any corners; -whether all their edges are straight; -whether they are solid or hollow. Using a collection of solid shapes, choose an example, and describe it. For example: -This shape has six faces, and each face is a rectangle. -This shape has five faces four are triangles and one is square. -This cube has 12 edges Recognise a solid shape placed in hands behind back and be able to name it by feeling. Make 3-D shapes using constructions kits, straws, clay, plasticine, everyday materials etc. Begin to relate 3-D shapes to pictures of them e.g. match solids to pictures of them, use bricks to build models from pictures. Describe the model or pattern and say which shapes have been used to make it. For example: -The top of this tree is a sphere and its trunk is a cylinder. -This house is made from a cube and its roof is a pyramid Look at this collection of objects or shapes. Shut your eyes while I pick one up and hide it. Open your eyes. Tell me which object or shape I have hidden. Sort and classify shapes using Venn and Carroll diagrams, e.g. all the 3-D solids with a rectangular face 1b-1a 1Understanding 3d shape  HYPERLINK "shape and space.pdf" Shape and space activities booklet   HYPERLINK "shape_tools.notebook" Shape tools Further examples of pitch and expectations: HYPERLINK "foundation stage to year 1.pdf"Foundation to year 1 HYPERLINK "year 1.pdf"Year 1 Information -  HYPERLINK "qca-mental.pdf" teaching mental calculation strategies -  HYPERLINK "qca-written.pdf" teaching written strategies  - HYPERLINK "Standards in Mathematics.pdf"exemplification of standardsShould Use everyday language to describe the features of 3-D shapes. Could Use mathematical vocabulary to describe 3-D shapes; sort shapes and describe some of their features. Yr 2Must Use everyday language to describe the features of 3-D shapes. 3-D shapes Pictures of 3-D shapes Labels of shape names/key vocabulary Every day objects e.g. boxes, balls, tins etc. Yes/No cards Construction kits Straws, clay, Plasticine, multilink Hoops for sorting  HYPERLINK "ICT to support shape.ppt" ICT files Problem solving materials  HYPERLINK "Y2_Line_of_Symmetry.notebook" Line of symmetry  HYPERLINK "Spot_the_shapes.notebook" Spot the shapes  HYPERLINK "Making_shapes_Y2.notebook" Making shapes  HYPERLINK "Creating_shapes_Y2.doc" Creating shapes  HYPERLINK "numberlines.notebook" Number lines  HYPERLINK "odd_one_out.notebook" Odd one out  HYPERLINK "jack_beanstalk.notebook" Jack and the beanstalk  HYPERLINK "y2_colour_shape.notebook" Coloured shape  HYPERLINK "triangles and pentagons.notebook" Triangles and pentagons  HYPERLINK "bucket and spade.notebook" Bucket and spade  HYPERLINK "6triangles.notebook" 6triangles Recognise and name the following shapes: Cube, Cuboid, Sphere, Cylinder, Cone, Pyramid Describe some of the features of 3D shapes including the shapes of faces, the number of faces, edges and corners. Using a set of solid shapes, choose an example to match properties described by others, e.g. Show me the shapes that have: at least one rectangular face, one curved face, eight corners, Answer Yes or No questions about a hidden shape in order to identify it Describe the shape or solid in the cloth bag as you feel it. What might it be? Why? How do you know this shape is a ? How do you know this shape isn't a ? Imagine a cube. Four faces are yellow; the rest are blue. How many faces are blue? Describe this shape/solid to a friend. Can they guess what it is? Use their knowledge of shape names and properties, for example to predict which 3-D shapes will roll and which will slide when placed on a slope Sort 3-D shapes in different ways according to their properties of their faces such as whether they: have six faces; have a triangular face, a rectangular face . They recognise and name shapes in different positions and orientations, including in pictures, Make and describe shape patterns using solid shapes. Relate solid shapes to pictures of them. Match familiar solids to their pictures and use a construction kit to make a model of a 3-D solid that I know Build models out of 3-D shapes and record the shapes used. For example: My model was made with 7 cuboids, 10 cubes, 6 cylinders and 1 cone. Make a skeleton shape from a construction kit or straws, and count the number of edges or corners.  Relate 3-D shapes to pictures of them. For example: match familiar solids to their pictures; use cubes to make single-layered solids from pictures. 2c-2bUnderstanding 3d shape  HYPERLINK "shape and space.pdf" Shape and space activities booklet  HYPERLINK "shape_tools.notebook" Shape tools Further examples of pitch and expectations: HYPERLINK "year 2.pdf"year 2 Information -  HYPERLINK "qca-mental.pdf" teaching mental calculation strategies -  HYPERLINK "qca-written.pdf" teaching written strategies  - HYPERLINK "Standards in Mathematics.pdf"exemplification of standards Should Use mathematical vocabulary to describe 3-D shapes; sort shapes and describe some of their features.Could Classify and describe 3D shapes and understand the terms vertex and prism. Year TargetGroup TargetKey Resources / Models and ImagesOutcomesYr 3 MustUse mathematical vocabulary to describe 3D shapes; sort shapes and describe some of their features. 3-D shapes Pictures of 3-D shapes Labels of shape names/key vocabulary Every day objects e.g. boxes, balls, tins etc. Yes/No cards Construction kits/polydron Straws, pipe cleaners, clay, Plasticine Hoops for sorting  HYPERLINK "ICT to support shape.ppt" ICT files  HYPERLINK "Y34_2Dand3D_shapes.notebook" Names and properties of 2D and 3D shapes  HYPERLINK "shape_sort.notebook" Shape sort  HYPERLINK "y23Dshapes.notebook" 3d shape facts  HYPERLINK "quad_sort.notebook" Quadrilateral-triangle Venn diagram sorter Problem solving materials  HYPERLINK "Create_new_shapes.notebook" Create new shapes  HYPERLINK "Sort_shapes.notebook" Sorting shapes  HYPERLINK "Describing_position_Y3.notebook" Describing position  HYPERLINK "rows_coins.notebook" Rows of coins  HYPERLINK "odds_evens.notebook" Odds and evens  HYPERLINK "straw_squares.notebook" Straw squares  HYPERLINK "circle sums.notebook" Circle sums Recognise and name the following shapes: Cube, Cuboid (Rectangular Prism), Sphere, Cylinder, Cone, Pyramid, Triangular Prism Read and use the terms vertex and vertices Recognise 3-D shapes and make collections, for example, of shapes that are prisms. Know that a prism has the same cross-section along its length, and that its two end-faces are identical. Name and describe solids, using the correct language: 'A triangular prism has two identical triangular faces at opposite ends and the other three faces are rectangles'; 'A hemisphere is a sphere cut in half. It has one flat face and a curved surface.' Sort 3-D shapes using criteria such as the number of vertices, edges or faces . They find the number of edges of assorted prisms to investigate the general statement : The number of edges of a prism is always a multiple of 3. Sort 3-D shapes in different ways according to properties such as: -Whether or not they are prisms -The number of faces, edges, vertices To draw a picture of a cube, would you use straight or curved lines? What about a cylinder? Select from this set a shape that has: no right angles; all sides equal; five vertices.  Relate 3D shapes to pictures of them, for example match familiar 3-D shapes to pictures of them Use cubes to build double-layered solids from pictures.  Recognise that two or more shapes can be put together in different ways to make new shapes. For example, find different shapes that can be made by fitting four cubes together face to face. I dip a triangular prism in paint and make a print of each face. What shapes will I print? use appropriate mathematical vocabulary to describe the features of common 2-D and 3-D shapes including semicircles, hemispheres and prisms 2a-3cUnderstanding 3d shape  HYPERLINK "shape and space.pdf" Shape and space activities booklet  HYPERLINK "shape_tools.notebook" Shape tools Further examples of pitch and expectations: HYPERLINK "year 3.pdf"year 3 Information -  HYPERLINK "qca-mental.pdf" teaching mental calculation strategies -  HYPERLINK "qca-written.pdf" teaching written strategies  - HYPERLINK "Standards in Mathematics.pdf"exemplification of standardsShould Classify and describe 3D shapes and understand the terms vertex and prism. Could Classify and describe 3D shapes and visualise 3D shapes from 2D drawings (including being able to identify simple nets of solid shapes). Yr 4Must Classify and describe 3D shapes and understand the terms vertex and prism. 3-D shapes Pictures of 3-D shapes Labels of shape names/key vocabulary Every day objects e.g. boxes, balls, tins etc. Construction kits/polydron Straws, pipe cleaners, clay, Plasticine, multi-link Hoops for sorting  HYPERLINK "ICT to support shape.ppt" ICT files  HYPERLINK "Y34_2Dand3D_shapes.notebook" Names and properties of 2D and 3D shapes  HYPERLINK "3D_shapes.notebook" Properties of 3D shapes  HYPERLINK "3D_shapes1.notebook" 3D shape properties  HYPERLINK "quiz_2dshapes.swf" Shape quiz  HYPERLINK "y23Dshapes.notebook" 3d shape facts  HYPERLINK "carroll_diags_shapes.notebook" Carroll diagrams for sorting shapes  HYPERLINK "quad_sort.notebook" Quadrilateral-triangle Venn diagram sorter Problem solving materials HYPERLINK "Reflecting_shapes_Y4.doc"Reflecting shapes  HYPERLINK "rows_coins.notebook" Rows of coins  HYPERLINK "odds_evens.notebook" Odds and evens  HYPERLINK "straw_squares.notebook" Straw squares  HYPERLINK "circle sums.notebook" Circle sums  HYPERLINK "tangrams.notebook" Tangram  HYPERLINK "3by3grid.notebook" 3 by 3 grid Recognise, name and describe the following shapes: cube, cuboid (rectangular prism), sphere, cylinder, cone, pyramid, prism, triangular prism, hemi-sphere, tetrahedron, polyhedron Know that a prism has the same cross section along its length and that the two end faces are identical Identify simple nets of 3D shapes e.g. unfolded packets which are cubes or cuboids. Draw in lines where you would fold this shape to make a cube. Use a ruler to measure where they would go. I am thinking of a 3-D shape. It has a square base. It has four other faces, which are triangles. What is the name of the 3-D shape? Know that in a polyhedron: Each face is a flat surface and a polygon An edge is the straight line where two faces meet A vertex is the point where two or more faces meet Visualise 3D shapes from 2D drawings, e.g. work out how many cubes will be needed to make a given picture. identify the shapes of faces of common 3-D shapes, and count the number of faces, edges and vertices (corners) of cubes, cuboids, pyramids and prisms. From their experience of handling 3-D shapes and describing their properties, they visualise mental images of the shapes. They can name a 3-D shape which has been secretly hidden in a drawstring bag. They look at drawings of 3-D shapes and relate them to real shapes. Name three different 3-D shapes that can have at least one square face. Here is a cereal packet. Describe what you think its net might look like. Anna makes a cube using straws. First she joins four straws to make a square. Then she joins more straws to make a cube. Altogether, how many straws has she used? There are three shapes in a row. What order are they in and what colour are they? Clues: The cube is in the middle.; The pink shape is not on the right. ; The red shape is next to the pyramid; The cone is not blue.  Look at a picture of a model made from interlocking cubes and predict the least number of cubes needed to build it. They then build the shape to check whether they are correct. 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 Understanding 3d shape  HYPERLINK "shape and space.pdf" Shape and space activities booklet  HYPERLINK "shape_tools.notebook" Shape tools Further examples of pitch and expectations: HYPERLINK "year 4.pdf"year 4 Information -  HYPERLINK "D:\Documents and Settings\linpm\Desktop\numeracy resources\understanding shape\qca-mental.pdf" teaching mental calculation strategies -  HYPERLINK "D:\Documents and Settings\linpm\Desktop\numeracy resources\understanding shape\qca-written.pdf" teaching written strategies -  HYPERLINK "D:\Documents and Settings\linpm\Desktop\numeracy resources\understanding shape\Standards%20in%20Mathematics.pdf" exemplification of standardsShould  Describe 3D shapes and visualise from 2D drawings (including being able to identify simple nets of solid shapes). Could Classify and describe 3D shapes and visualise from 2D drawings (including being able to identify the nets of an open cube).  Year TargetGroup TargetKey Resources / Models and ImagesOutcomesYr 5 Must Describe 3-D shapes and visualise from 2-D drawings (including being able to identify simple nets of solid shapes). 3-D shapes Pictures of 3-D shapes Labels of shape names/key vocabulary Every day objects e.g. boxes, balls, tins etc. Construction kits/polydron Straws, pipe cleaners, clay, Plasticine, multi-link Hoops for sorting  HYPERLINK "ICT to support shape.ppt" ICT files  HYPERLINK "quiz_2dshapes.swf" Shape quiz  HYPERLINK "3D_shapes1.notebook" 3D shape properties  HYPERLINK "carroll_diags_shapes.notebook" Carroll diagrams for sorting shapes  HYPERLINK "quad_sort.notebook" Quadrilateral-triangle Venn diagram sorter Problem solving materials  HYPERLINK "polyhedra chain.notebook" Polyhedra chain  HYPERLINK "Planet Zargon.notebook" Planet Zargon  HYPERLINK "cubefacecolour.notebook" Cube face colour;  HYPERLINK "pentomino.notebook" Five squaresRecognise, name and describe the following shapes: cube, cuboid (rectangular prism), sphere, cylinder, cone, pyramid, prism, triangular prism, hemi-sphere, tetrahedron, octahedron, polyhedron I am thinking of a 3-D shape. It has a square base. It has four other faces which are triangles. What is the name of the 3-D shape? Look at these diagrams. Which of them are nets of a square-based pyramid? Explain how you know. Is this a net for an open cube? Explain why not. visualise and describe 3-D shapes according to a range of properties including: the shapes of faces, the number of faces, edges and vertices, and whether the number of edges meeting at each vertex is the same (as in a cube) or different (as in a square-based pyramid). solve problems involving 3-D shapes, for example finding all of the possible nets for an open cube or sorting a set of 3-D shapes using an ICT 'binary tree' program  Work out the least number of unit cubes needed to turn this shape into a cuboid. extend their knowledge of the properties of 3-D and 2-D shapes, including the tetrahedron and octahedron identify shapes that have pairs of parallel or perpendicular sides or edges. explore how many different shapes they can make from five squares touching edge to edge. They understand that if rotations and reflections of the shapes are not counted as different there are 12 shapes to be found. They investigate which of these shapes can be folded up to make an open cube investigate the number of different shapes that can be made by placing four cubes face to face. They draw accurate nets for a range of 3-D shapes, including the nets of prisms 3a-4c Understanding 3d shape  HYPERLINK "shape and space.pdf" Shape and space activities booklet  HYPERLINK "shape_tools.notebook" Shape tools Further examples of pitch and expectations: HYPERLINK "year 5.pdf"year 5 Information -  HYPERLINK "D:\Documents and Settings\linpm\Desktop\numeracy resources\understanding shape\qca-mental.pdf" teaching mental calculation strategies -  HYPERLINK "D:\Documents and Settings\linpm\Desktop\numeracy resources\understanding shape\qca-written.pdf" teaching written strategies -  HYPERLINK "D:\Documents and Settings\linpm\Desktop\numeracy resources\understanding shape\Standards%20in%20Mathematics.pdf" exemplification of standardsShould Classify and describe 3-D shapes and visualise from 2-D drawings (including being able to identify the nets of an open cube). Could Classify, describe and identify the nets of 3-D shapes (including closed cubes).Yr 6Must Classify and describe 3D shapes and visualise from 2D drawings (including being able to identify the nets of an open cube). 3-D shapes Pictures of 3-D shapes Labels of shape names/key vocabulary Construction kits/polydron Straws, pipe cleaners, clay, Plasticine, multi-link Hoops for sorting Unit plans:  HYPERLINK "y6u8aut.notebook" Autumn unit 8  HYPERLINK "y6u10aut.notebook" Autumn unit 10  HYPERLINK "Year 6 Unit 8 Spring.notebook" Spring unit 8  HYPERLINK "y6u3sum.notebook" Summer unit 3  HYPERLINK "y6u7sum.notebook" Summer unit 7  HYPERLINK "y6u11sum.notebook" Summer unit 11 Springboard  HYPERLINK "Lesson 11.notebook" Lesson 11  HYPERLINK "Lesson 14.notebook" Lesson 14  HYPERLINK "Lesson 17.notebook" Lesson 17  HYPERLINK "Lesson 28.notebook" Lesson 28  HYPERLINK "ICT to support shape.ppt" ICT files  HYPERLINK "rotations_about_a_vertex.notebook" Rotations and coordinates  HYPERLINK "quad rummy.notebook" Quadrilateral rummy Problem solving materials  HYPERLINK "polyhedra chain.notebook" Polyhedra chain;  HYPERLINK "Triangles_Y5.notebook" Triangles;  HYPERLINK "Symmetry_Y5.doc" Symmetry  ;  HYPERLINK "Planet Zargon.notebook" Planet Zargon;;  HYPERLINK "cubefacecolour.notebook" Cube face colour;  HYPERLINK "tangrams.notebook" Tangram;  HYPERLINK "3by3grid.notebook" 3 by 3 grid; HYPERLINK "cubes.notebook"Cube netsRecognise, name and describe the following shapes: cube, cuboid (rectangular prism), sphere, cylinder, cone, pyramid, prism, triangular prism, hemi-sphere, tetrahedron, octahedron, dodecahedron, polyhedron.  Describe the properties of 3-D shapes, such as parallel or perpendicular, faces or edges e.g. Look at this cube. How many edges are parallel to this one? How many edges are perpendicular to this one? make and draw shapes and apply their knowledge of the properties; for example, they use art straws to create 'skeleton' shapes Name and describe the properties of a dodecahedron Identify the nets of 3D shapes Imagine a triangular prism. How many faces does it have? Are any of the faces parallel to each other? How many pairs of parallel edges has a square-based pyramid? How many perpendicular edges? Look at these 3-D shapes (e.g. a cuboid, tetrahedron, square-based pyramid and octahedron). Show me a face that is parallel to this one. Which face is perpendicular to this one? What can you tell me about the faces of a cuboid? Why are so many packing boxes made in the shape of a cuboid? Use your ruler and protractor. Draw the net of a regular tetrahedron with edges of 6 cm. describe the shape generated by cutting through a tetrahedron or a triangular right prism in a plane parallel to a base. 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 explore the relationship: the number of vertices plus the number of faces equals the number of edges. Here are four diagrams. On each one put a tick () if it is a net of a cube. Put a cross () if it is not. Add a square to complete the net to make a closed cube.  Visualise 3-D shapes from 2-D drawings e.g. find and justify the least number of cubes needed to complete a given shape. Count the number of faces and edges. Recognise properties such as: all pyramids have an even number of edges; the number of straight edges in a prism is a multiple of 3; the number of faces of a pyramid is one more than the number of edges of the base; the number of faces of a prism is two more than the number of edges of an end face 4b-4aUnderstanding 3d shape  HYPERLINK "shape and space.pdf" Shape and space activities booklet  HYPERLINK "shape_tools.notebook" Shape tools Further examples of pitch and expectations: HYPERLINK "year 6.pdf"year 6 Information -  HYPERLINK "D:\Documents and Settings\linpm\Desktop\numeracy resources\understanding shape\qca-mental.pdf" teaching mental calculation strategies -  HYPERLINK "D:\Documents and Settings\linpm\Desktop\numeracy resources\understanding shape\qca-written.pdf" teaching written strategies -  HYPERLINK "D:\Documents and Settings\linpm\Desktop\numeracy resources\understanding shape\Standards%20in%20Mathematics.pdf" exemplification of standards Should  Classify, describe and identify the nets of 3D shapes (including closed cubes).CouldUse 2-D representations and oral descriptions to visualise 3-D shapes and deduce some of their properties. Yr 6Must Classify and describe 3D shapes and visualise from 2D drawings (including being able to identify the nets of an open cube). 3-D shapes Pictures of 3-D shapes Labels of shape names/key vocabulary Every day objects e.g. boxes, balls, tins etc. Construction kits/polydron Straws, pipe cleaners, clay, Plasticine, multi-link Hoops for sorting Unit plans:  HYPERLINK "y6u8aut.notebook" Autumn unit 8  HYPERLINK "y6u10aut.notebook" Autumn unit 10  HYPERLINK "Year 6 Unit 8 Spring.notebook" Spring unit 8  HYPERLINK "y6u3sum.notebook" Summer unit 3  HYPERLINK "y6u7sum.notebook" Summer unit 7  HYPERLINK "y6u11sum.notebook" Summer unit 11 Springboard  HYPERLINK "Lesson 11.notebook" Lesson 11  HYPERLINK "Lesson 14.notebook" Lesson 14  HYPERLINK "Lesson 17.notebook" Lesson 17  HYPERLINK "Lesson 28.notebook" Lesson 28  HYPERLINK "ICT to support shape.ppt" ICT files  HYPERLINK "rotations_about_a_vertex.notebook" Rotations and coordinates  HYPERLINK "quad rummy.notebook" Quadrilateral rummy Problem solving materials  HYPERLINK "polyhedra chain.notebook" Polyhedra chain;  HYPERLINK "Triangles_Y5.notebook" Triangles;  HYPERLINK "Symmetry_Y5.doc" Symmetry  ;  HYPERLINK "Planet Zargon.notebook" Planet Zargon;;  HYPERLINK "cubefacecolour.notebook" Cube face colour;  HYPERLINK "tangrams.notebook" Tangram;  HYPERLINK "3by3grid.notebook" 3 by 3 grid;  HYPERLINK "cubes.notebook" Cube netsA cube has shaded triangles on three of its faces. Here is the net of the cube. Draw in the two missing shaded triangles. Imagine you have two identical cubes. Place them together, matching face to face. Name and describe the new solid. How many faces, edges, vertices? Imagine cutting off a corner of a cube. Describe the new face created. Describe the new solid. How many faces, edges, vertices...?  Sit back to back with a partner. Look at the picture of the model. Dont show it to your partner. Tell your partner how to build the model. Join in a guess the shape activity. A solid made from centimetre cubes is placed in a bag. a. Take turns to describe one element of the shape by feeling it. Others try to make the same shape. Take turns to describe the shape while others try to guess what it is. Guess a hidden solid shape by asking questions about it to which only yes/no answers can be given. On a six-sided dice, the faces are numbered from 1 to 6, and opposite faces should add up to 7. Draw a net for a cube. Choose a face and write 5 on it. Now write numbers on the other faces so that when the cube is folded up, opposite faces add up to 7. Find all possible solids that can be made from four cubes. Record the solids using isometric paper.  Investigate the number of different ways that a 2 by 2 by 2 cube can be split into two pieces: a. of the same shape and size; b. of different shapes and sizes. 5c-5b Understanding 3d shape  HYPERLINK "shape and space.pdf" Shape and space activities booklet  HYPERLINK "shape_tools.notebook" Shape tools Further examples of pitch and expectations:  HYPERLINK "year 6 into year 7.doc"  year 6 into year 7Should  Classify, describe and identify the nets of 3D shapes (including closed cubes).Could Use 2-D representations and oral descriptions to visualise 3-D shapes and deduce some of their properties.  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