# Shape Dictionary YR to Y6

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1 Shape Dictionary YR to Y6

2 Guidance Notes The terms in this dictionary are taken from the booklet Mathematical Vocabulary produced by the National Numeracy Strategy. Children need to understand and use these words if they are to make good progress in understanding shape and space. The vocabulary for shape and space has been separated into three sections: - 2D shape - 3D shape - properties of shape The properties of shape section also draws on vocabulary from the sections on patterns and symmetry and position, direction and movement, where these will further support children s understanding. The words listed for each year include vocabulary from the previous year, with new words for the year printed in red from Year 1 onwards.

3 Year Vocabulary Definition shape flat curved straight round hollow solid corner Properties of Shape The shape of an object is its outline. A flat object has a level surface with no ups or downs. A line that is not straight or an object that is not flat. A line or edge which has no curves is straight. A round object is shaped like a circle or a ball. A hollow shape has a space inside it. A solid shape has no space inside it. Two or more edges or sides meet at a corner. face This triangle has 3 corners. This box has 8 corners. A face is one of the surfaces of a 3D shape. This pyramid has 5 faces. Reception side edge end bigger A line in a 2D shape is called a side. An edge is where 2 faces meet in a 3D shape. The outer parts of a 3D shape are called the ends. This rod has 2 ends. Comparing the size of two objects. larger The dog is bigger than the cat. Comparing the size of two objects. smaller The butterfly is larger than the ant. Comparing the size of two objects. The bike is smaller than the car.

4 symmetrical A shape is symmetrical if we can fold it so that one half covers the other half exactly. match When you fold a shape and one half covers the other exactly, the two halves match. The two halves of this shape match. cube 3D shapes A cube has 6 square faces all the same size. It also has 8 corners and 12 edges. pyramid There are two types of pyramids: Reception square based pyramid (1 square face and 4 triangular faces) triangular based pyramid (4 triangular faces) also called a tetrahedron sphere cone A sphere has only one curved face. A cone has a circle as its base, a curved face and a point. circle triangle 2D shapes A circle is a shape where it is always the same distance from the edge to the centre. A triangle has 3 straight sides and 3 corners. Ensure that children see triangles in a variety of forms.

5 square A square is a special type of rectangle. It has 4 straight sides of the same lengths and 4 right angles. Reception rectangle Ensure that children see squares in various rotations. A rectangle has 4 straight sides. Pairs of opposite sides are the same length. star A star has points coming out of the centre.

6 Year Vocabulary shape flat curved straight round hollow solid corner Definition Properties of Shape The shape of an object is its outline. A flat object has a level surface with no ups or downs. A line that is not straight or an object that is not flat. A line or edge which has no curves is straight. A round object is shaped like a circle or a ball. A hollow shape has a space inside it. A solid shape has no space inside it. Two or more edges or sides meet at a corner. point, pointed This triangle has 3 corners. This box has 8 corners. A sharp part of a shape is a point. point The pyramid is pointed. Year 1 face side edge end A face is one of the surfaces of a 3D shape. This pyramid has 5 faces. A line in a 2D shape is called a side. An edge is where 2 faces meet in a 3D shape. The outer parts of a 3D shape are called the ends. bigger This rod has 2 ends. Comparing the size of two objects. larger The dog is bigger than the cat. Comparing the size of two objects. The butterfly is larger than the ant.

7 smaller Comparing the size of two objects. symmetrical The bike is smaller than the car. A shape is symmetrical if we can fold it so that one half covers the other half exactly. match When you fold a shape and one half covers the other exactly, the two halves match. The two halves of this shape match. Year 1 cube cuboid 3D shapes A cube has 6 square faces all the same size. It also has 8 corners and 12 edges. A cuboid has 6 rectangular faces. pyramid There are two types of pyramids: square based pyramid (1 square face and 4 triangular faces) triangular based pyramid (4 triangular faces) also called a tetrahedron sphere cone A sphere has only one curved face. A cone has a circle as its base, a curved face and a point.

8 cylinder A cylinder has circular faces at each end and a curved face. circle triangle 2D shapes A circle is a shape where it is always the same distance from the edge to the centre. A triangle has 3 straight sides and 3 corners. Year 1 Ensure that children see triangles in a variety of forms. square A square is a special type of rectangle. It has 4 straight sides of the same lengths and 4 right angles. rectangle Ensure that children see squares in various rotations. A rectangle has 4 straight sides. Pairs of opposite sides are the same length. star A star has points coming out of the centre.

9 Year Vocabulary shape flat curved straight round hollow solid corner Definition Properties of Shape The shape of an object is its outline. A flat object has a level surface with no ups or downs. A line that is not straight or an object that is not flat. A line or edge which has no curves is straight. A round object is shaped like a circle or a ball. A hollow shape has a space inside it. A solid shape has no space inside it. Two or more edges or sides meet at a corner. point, pointed This triangle has 3 corners. This cube has 8 corners. A sharp part of a shape is a point. point The pyramid is pointed. Year 2 face side edge end A face is one of the surfaces of a 3D shape. This pyramid has 5 faces. A line in a 2D shape is called a side. An edge is where 2 faces meet in a 3D shape. The outer parts of a 3D shape are called the ends. surface bigger This rod has 2 ends. A surface is the 2D boundary of a 3D object. Face can be used instead. Comparing the size of two objects. larger The dog is bigger than the cat. Comparing the size of two objects. The butterfly is larger than the ant.

10 smaller Comparing the size of two objects. symmetrical The bike is smaller than the car. A shape is symmetrical if we can fold it so that one half covers the other half exactly. line of symmetry The line of symmetry divides a shape into symmetrical parts. The blue line is the line of symmetry. Year 2 fold match Bend so that one part covers another. When you fold a shape and one half covers the other exactly, the two halves match. The two halves of this shape match. mirror line The mirror line is another way of saying line of symmetry. reflection A mirror view. right-angled A right angle is ¼ of a full turn or 90. cube 3D shapes A cube has 6 square faces all the same size. It also has 8 corners and 12 edges. cuboid A cuboid has 6 rectangular faces.

11 pyramid There are two types of pyramids: square based pyramid (1 square face and 4 triangular faces) triangular based pyramid (4 triangular faces) also called a tetrahedron sphere cone A sphere has only one curved face. A cone has a circle as its base, a curved face and a point. cylinder A cylinder has circular faces at each end and a curved face. Year 2 circle circular triangle 2D shapes A circle is a shape where it is always the same distance from the edge to the centre. Something is circular if it has the same shape as a circle. A triangle has 3 straight sides and 3 corners. Ensure that children see triangles in a variety of forms. triangular Something is triangular if it has the same shape as a triangle. square A square is a special type of rectangle. It has 4 straight sides of the same lengths and 4 right angles. rectangle Ensure that children see squares in various rotations. A rectangle has 4 straight sides. Pairs of opposite sides are the same length. rectangular Something is rectangular if it has the same shape as a rectangle.

12 star A star has points coming out of the centre. pentagon A pentagon has 5 straight sides and 5 corners. Year 2 hexagon Ensure that children see pentagons in a variety of forms. A hexagon has 6 straight sides and 6 corners. octagon Ensure that children see hexagons in a variety of forms. An octagon has 8 straight sides and 8 corners. Ensure that children see octagons in a variety of forms.

13 Year Vocabulary shape flat curved straight round hollow solid corner Definition Properties of Shape The shape of an object is its outline. A flat object has a level surface with no ups or downs. A line that is not straight or an object that is not flat. A line or edge which has no curves is straight. A round object is shaped like a circle or a ball. A hollow shape has a space inside it. A solid shape has no space inside it. Two or more edges or sides meet at a corner. point, pointed This triangle has 3 corners. This cube has 8 corners. A sharp part of a shape is a point. point The pyramid is pointed. Year 3 face side edge end A face is one of the surfaces of a 3D shape. This pyramid has 5 faces. A line in a 2D shape is called a side. An edge is where 2 faces meet in a 3D shape. The outer parts of a 3D shape are called the ends. surface bigger This rod has 2 ends. A surface is the 2D boundary of a 3D object. Comparing the size of two objects. larger The dog is bigger than the cat. Comparing the size of two objects. The butterfly is larger than the ant.

14 smaller Comparing the size of two objects. symmetrical The bike is smaller than the car. A shape is symmetrical if we can fold it so that one half covers the other half exactly. line of symmetry The line of symmetry divides a shape into symmetrical parts. The blue line is the line of symmetry. Year 3 fold match Bend so that one part covers another. When you fold a shape and one half covers the other exactly, the two halves match. The two halves of this shape match. mirror line reflection right-angled The mirror line is another way of saying line of symmetry. A mirror view. A right angle is the angle made by a quarter turn or 90. vertex vertices cube A vertex of a shape is a point at which 2 or more edges meet. It is more commonly referred to as a corner. More than one vertex. 3D shapes A cube has 6 square faces all the same size. It also has 8 corners and 12 edges.

15 cuboid A cuboid has 6 rectangular faces. pyramid There are two types of pyramids: square based pyramid (1 square face and 4 triangular faces) triangular based pyramid (4 triangular faces) also called a tetrahedron Year 3 sphere hemisphere cone A sphere has only one curved face. A hemisphere is half a sphere. It is made by cutting through the centre of a sphere, e.g. when the earth is cut in two it creates the northern hemisphere and the southern hemisphere. A cone has a circle as its base, a curved face and a point. cylinder A cylinder has circular faces at each end and a curved face. prism A prism is a solid shape with matching ends. A prism has the same cross-section all across its length (like Blackpool rock!) circle circular 2D shapes A circle is a shape where it is always the same distance from the edge to the centre. Something is circular if it has the same shape as a circle.

16 semicircle triangle A semicircle is one half of a circle made by cutting along a line that goes from side to side through the middle of the circle. A triangle has 3 straight sides and 3 corners. Ensure that children see triangles in a variety of forms. triangular Something is triangular if it has the same shape as a triangle. square A square is a special type of rectangle. It has 4 straight sides of the same lengths and 4 right angles. rectangle Ensure that children see squares in various rotations. A rectangle has 4 straight sides. Pairs of opposite sides are the same length. Year 3 rectangular star Something is rectangular if it has the same shape as a rectangle. A star has points coming out of the centre. pentagon A pentagon has 5 straight sides and 5 corners. pentagonal hexagon Ensure that children see pentagons in a variety of forms. Something is pentagonal if it has the same shape as a pentagon. A hexagon has 6 straight sides and 6 corners. hexagonal Ensure that children see hexagons in a variety of forms. Something is hexagonal if it has the same shape as a hexagon.

17 octagon An octagon has 8 straight sides and 8 corners. octagonal quadrilateral Ensure that children see octagons in a variety of forms. Something is octagonal if it has the same shape as an octagon. A polygon with four sides. See the table below for examples of quadrilaterals. trapezium Year 3 parallelogram rhombus rectangles kite arrowhead irregular quadrilaterals

18 Year Vocabulary shape flat line curved straight round hollow solid corner Definition Properties of Shape The shape of an object is its outline. A flat object has a level surface with no ups or downs. A line has no width; it has only one measurement - its length. A line that is not straight or an object that is not flat. A line or edge which has no curves is straight. A round object is shaped like a circle or a ball. A hollow shape has a space inside it. A solid shape has no space inside it. Two or more edges or sides meet at a corner. point, pointed This triangle has 3 corners. This cube has 8 corners. A sharp part of a shape is a point. point The pyramid is pointed. Year 4 face side edge end A face is one of the surfaces of a 3D shape. This pyramid has 5 faces. A line in a 2D shape is called a side. An edge is where 2 faces meet in a 3D shape. The outer parts of a 3D shape are called the ends. surface bigger This rod has 2 ends. A surface is the 2D boundary of a 3D object. Face can be used instead. Comparing the size of two objects. larger The dog is bigger than the cat. Comparing the size of two objects. The butterfly is larger than the ant.

19 smaller Comparing the size of two objects. symmetrical The bike is smaller than the car. A shape is symmetrical if we can fold it so that one half covers the other half exactly. line of symmetry The line of symmetry divides a shape into symmetrical parts. The blue line is the line of symmetry. line symmetry If a shape is symmetrical about a line, it has line symmetry Year 4 fold match Bend so that one part covers another. When you fold a shape and one half covers the other exactly, the two halves match. The two halves of this shape match. mirror line reflection reflect translation The mirror line is another way of saying line of symmetry. A mirror view. To produce a reflection, you need to reflect the object in a mirror line. A translation moves an object by sliding it in any direction. The shape does not change size.

20 vertex vertices angle A vertex of a shape is a point at which 2 or more edges meet. It is more commonly referred to as a corner. More than one vertex. An angle is made when two straight lines cross or meet each other at a point. Its size is measured by the amount one line has been turned in relation to the other. right-angled A right angle is the angle made by a quarter turn or 90. Year 4 centre radius Exactly in the middle of a shape. The length of a straight line from the centre of the circle to its circumference (edge). diameter A line that cuts a circle in half and passes through the centre of the circle. net A net shows you what a solid shape would look like if you could lay it out flat. base net of a cube net of a triangular prism The bottom face of a solid shape. base square-based When the bottom face of a solid shape is a square, e.g. in a square-based pyramid.

21 vertex vertices regular A vertex of a shape is a point at which 2 or more edges meet. It is more commonly referred to as a corner. More than one vertex. A 2D regular shape has all sides the same length and all angles the same. On a 3D regular shape, all of the faces are identical regular polygons. irregular concave A regular octagon An irregular octagon. Any shape which is not regular (see above). A concave surface curves inwards like the inside of a bowl or a spoon. (Caves go inwards!) Year 4 convex A convex surface curves outwards like the outside of a bowl or the back of a spoon. open closed 3D three-dimensional cube When making nets of a cube, if the cube is open it is like an open box, it will have five faces rather than six. When making nets of a cube, if the cube is closed it creates a solid shape. 3D shapes An object that has 3 dimensions: length, width and height. An object that has 3 dimensions: length, width and height. A cube has 6 square faces all the same size. It also has 8 corners and 12 edges.

22 cuboid A cuboid has 6 rectangular faces. pyramid There are two types of pyramids: square based pyramid (1 square face and 4 triangular faces) triangular based pyramid (4 triangular faces) also called a tetrahedron Year 4 sphere hemisphere spherical cone A sphere has only one curved face. A hemisphere is half a sphere. It is made by cutting through the centre of a sphere, e.g. when the earth is cut in two it creates the northern hemisphere and the southern hemisphere. Something is spherical if it has the same shape as a sphere. A cone has a circle as its base, a curved face and a point. cylinder A cylinder has circular faces at each end and a curved face. cylindrical prism Something is cylindrical if it has the same shape as a cylinder. A prism is a solid shape with matching ends. A prism has the same cross-section all across its length (like Blackpool rock!)

23 tetrahedron A regular polyhedron with 4 faces that are congruent (the same size and shape) equilateral triangles. A tetrahedron Year 4 polyhedron 2D two-dimensional circle circular semi-circle triangle A 3D shape whose faces are all polygons. These are cube, cuboid, triangular prism, pentagonal prism, hexagonal prism, octagonal prism, tetrahedron, square based pyramid, pentagonal pyramid, octagonal pyramid, octahedron, dodecahedron and icosahedron. When each of the faces of a polyhedron is identical it is called a regular polyhedron. There are 5 different regular polyhedra (plural of polyhedron); tetrahedron (4 triangular faces), cube (6 square faces), octahedron (8 triangular faces), dodecahedron (12 pentagonal faces) and icosahedron (20 triangular faces). 2D shapes Flat shapes are two dimensional. They have length and width, but no height or thickness. Flat shapes are two dimensional. They have length and width, but no height or thickness. A circle is a shape where it is always the same distance from the edge to the centre. Something is circular if it has the same shape as a circle. A semicircle is one half of a circle made by cutting along a line that goes from side to side through the middle of the circle. A triangle has 3 straight sides and 3 corners. triangular Ensure that children see triangles in a variety of forms. Something is triangular if it has the same shape as a triangle.

24 equilateral triangle All three sides of an equilateral triangle are the same length and all the angles are equal at 60. isosceles triangle An isosceles triangle has two equal sides and two angles that are equal. square A square is a special type of rectangle. It has 4 straight sides of the same lengths and 4 right angles. Year 4 rectangle Ensure that children see squares in various rotations. A rectangle has 4 straight sides. Pairs of opposite sides are the same length. rectangular oblong Something is rectangular if it has the same shape as a rectangle. A quadrilateral with four right angles and two pairs of equal parallel sides with each pair different in length. (A rectangle in which one pair of edges is longer than the other the other form of rectangle being a square). star A star has points coming out of the centre.

25 pentagon A pentagon has 5 straight sides and 5 corners. pentagonal hexagon Ensure that children see pentagons in a variety of forms. Something is pentagonal if it has the same shape as a pentagon. A hexagon has 6 straight sides and 6 corners. hexagonal heptagon Ensure that children see hexagons in a variety of forms. Something is hexagonal if it has the same shape as a hexagon. A heptagon has 7 straight sides and 7 corners. Year 4 octagon 20p and 50p coins are examples of heptagons. Ensure that children see heptagons in a variety of forms. An octagon has 8 straight sides and 8 corners. octagonal polygon Ensure that children see octagons in a variety of forms. Something is octagonal if it has the same shape as an octagon. Any flat shape with three or more straight sides. When all the sides and angles of a polygon are equal, it is called a regular polygon. No. of sides Name of polygon 3 triangle 4 quadrilateral 5 pentagon 6 hexagon 7 heptagon 8 octagon 9 nonagon 10 decagon 11 hendecagon 12 dodecagon

26 quadrilateral A polygon with four sides. See the table below for examples of quadrilaterals. trapezium parallelogram Year 4 rhombus rectangles kite arrowhead irregular quadrilaterals

27 Year Vocabulary shape flat line parallel Definition Properties of Shape The shape of an object is its outline. A flat object has a level surface with no ups or downs. A line has no width; it has only one measurement - its length. Parallel lines never meet. They are the same distance apart from each other all the way along their length. perpendicular Two lines which meet at right angles to each other are perpendicular. Year 5 curved straight round hollow solid corner A line that is not straight or an object that is not flat. A line or edge which has no curves is straight. A round object is shaped like a circle or a ball. A hollow shape has a space inside it. A solid shape has no space inside it. Two or more edges or sides meet at a corner. point, pointed This triangle has 3 corners. This cube has 8 corners. A sharp part of a shape is a point. point The pyramid is pointed. face A face is one of the surfaces of a 3D shape. This pyramid has 5 faces. side edge A line in a 2D shape is called a side. An edge is where 2 faces meet in a 3D shape.

28 end The outer parts of a 3D shape are called the ends. This rod has 2 ends. surface bigger A surface is the 2D boundary of a 3D object. Face can be used instead. Comparing the size of two objects. larger The dog is bigger than the cat. Comparing the size of two objects. smaller The butterfly is larger than the ant. Comparing the size of two objects. Year 5 symmetrical The bike is smaller than the car. A shape is symmetrical if we can fold it so that one half covers the other half exactly. line of symmetry The line of symmetry divides a shape into symmetrical parts. The blue line is the line of symmetry. axis of symmetry line symmetry Axis of symmetry is another name for line of symmetry. If a shape is symmetrical about a line, it has line symmetry

29 reflective symmetry If a shape is symmetrical about a line, it has reflective symmetry (line symmetry). fold match Bend so that one part covers another. When you fold a shape and one half covers the other exactly, the two halves match. The two halves of this shape match. mirror line reflection reflect translation The mirror line is another way of saying line of symmetry. A mirror view. To produce a reflection, you need to reflect the object in a mirror line. A translation moves an object by sliding it in any direction. The shape does not change size. Year 5 vertex vertices angle A vertex of a shape is a point at which 2 or more edges meet. It is more commonly referred to as a corner. More than one vertex. An angle is made when two straight lines cross or meet each other at a point. Its size is measured by the amount one line has been turned in relation to the other. right-angled A right angle is the angle made by a quarter turn or 90.

30 acute An acute angle is less than 90. obtuse An obtuse angle is more than 90 but less than 180. centre Exactly in the middle of a shape. radius The length of a straight line from the centre of the circle to its circumference (edge). diameter A line that cuts a circle in half and passes through the centre of the circle. net A net shows you what a solid shape would look like if you could lay it out flat. Year 5 base net of a cube net of a triangular prism The bottom face of a solid shape. base square-based regular When the bottom face of a solid shape is a square, e.g. in a square-based pyramid. A 2D regular shape has all sides the same length and all angles the same. On a 3D regular shape, all of the faces are identical regular polygons. irregular A regular octagon An irregular octagon. Any shape which is not regular (see above).

31 concave A concave surface curves inwards like the inside of a bowl or a spoon. (Caves go inwards!) convex A convex surface curves outwards like the outside of a bowl or the back of a spoon. Year 5 open closed congruent When making nets of a cube, if the cube is open it is like an open box, it will have five faces rather than six. When making nets of a cube, if the cube is closed it creates a solid shape. Two shapes are congruent if they are exactly the same. One shape can be placed exactly on the other. The sides must be the same length and the angles must also be equal. These triangles are congruent. 3D three-dimensional cube 3D shapes An object that has 3 dimensions: length, width and height. An object that has 3 dimensions: length, width and height. A cube has 6 square faces all the same size. It also has 8 corners and 12 edges. cuboid A cuboid has 6 rectangular faces.

32 pyramid There are two types of pyramids: square based pyramid (1 square face and 4 triangular faces) triangular based pyramid (4 triangular faces) also called a tetrahedron Year 5 sphere hemisphere spherical cone A sphere has only one curved face. A hemisphere is half a sphere. It is made by cutting through the centre of a sphere, e.g. when the earth is cut in two it creates the northern hemisphere and the southern hemisphere. Something is spherical if it has the same shape as a sphere. A cone has a circle as its base, a curved face and a point. cylinder A cylinder has circular faces at each end and a curved face. cylindrical prism Something is cylindrical if it has the same shape as a cylinder. A prism is a solid shape with matching ends. A prism has the same cross-section all across its length (like Blackpool rock!) tetrahedron A regular polyhedron with 4 faces that are congruent (the same size and shape) equilateral triangles. A tetrahedron

33 polyhedron octahedron A 3D shape whose faces are all polygons. These are cube, cuboid, triangular prism, pentagonal prism, hexagonal prism, octagonal prism, tetrahedron, square based pyramid, pentagonal pyramid, octagonal pyramid, octahedron, dodecahedron and icosahedron. When each of the faces of a polyhedron is identical it is called a regular polyhedron. There are 5 different regular polyhedra (plural of polyhedron); tetrahedron (4 triangular faces), cube (6 square faces), octahedron (8 triangular faces), dodecahedron (12 pentagonal faces) and icosahedron (20 triangular faces). An octahedron is a 3D shape with 8 triangular faces. Year 5 2D two-dimensional circle circular semi-circle triangle 2D shapes Flat shapes are two dimensional. They have length and width, but no height or thickness. Flat shapes are two dimensional. They have length and width, but no height or thickness. A circle is a shape where it is always the same distance from the edge to the centre. Something is circular if it has the same shape as a circle. A semicircle is one half of a circle made by cutting along a line that goes from side to side through the middle of the circle. A triangle has 3 straight sides and 3 corners. triangular Ensure that children see triangles in a variety of forms. Something is triangular if it has the same shape as a triangle.

34 equilateral triangle All three sides of an equilateral triangle are the same length and all the angles are equal at 60. isosceles triangle An isosceles triangle has two equal sides and two angles that are equal. scalene triangle In a scalene triangle, all sides are different and all angles are different. Year 5 square A square is a special type of rectangle. It has 4 straight sides of the same lengths and 4 right angles. rectangle Ensure that children see squares in various rotations. A rectangle has 4 straight sides. Pairs of opposite sides are the same length. rectangular oblong Something is rectangular if it has the same shape as a rectangle. A quadrilateral with four right angles and two pairs of equal parallel sides with each pair different in length. (A rectangle in which one pair of edges is longer than the other the other form of rectangle being a square).

35 star A star has points coming out of the centre. pentagon A pentagon has 5 straight sides and 5 corners. pentagonal hexagon Ensure that children see pentagons in a variety of forms. Something is pentagonal if it has the same shape as a pentagon. A hexagon has 6 straight sides and 6 corners. Year 5 hexagonal heptagon Ensure that children see hexagons in a variety of forms. Something is hexagonal if it has the same shape as a hexagon. A heptagon has 7 straight sides and 7 corners. octagon 20p and 50p coins are examples of heptagons. Ensure that children see heptagons in a variety of forms. An octagon has 8 straight sides and 8 corners. octagonal Ensure that children see octagons in a variety of forms. Something is octagonal if it has the same shape as an octagon.

36 polygon quadrilateral Any flat shape with three or more straight sides. When all the sides and angles of a polygon are equal, it is called a regular polygon. No. of sides Name of polygon 3 triangle 4 quadrilateral 5 pentagon 6 hexagon 7 heptagon 8 octagon 9 nonagon 10 decagon 11 hendecagon 12 dodecagon A polygon with four sides. See the table below for examples of quadrilaterals. Year 5 trapezium parallelogram rhombus rectangles kite arrowhead irregular quadrilaterals

37 Year Vocabulary shape flat line parallel Definition Properties of Shape The shape of an object is its outline. A flat object has a level surface with no ups or downs. A line has no width; it has only one measurement - its length. Parallel lines never meet. They are the same distance apart from each other all the way along their length. perpendicular Two lines which meet at right angles to each other are perpendicular. Year 6 curved straight round hollow solid corner A line that is not straight or an object that is not flat. A line or edge which has no curves is straight. A round object is shaped like a circle or a ball. A hollow shape has a space inside it. A solid shape has no space inside it. Two or more edges or sides meet at a corner. point, pointed This triangle has 3 corners. This cube has 8 corners. A sharp part of a shape is a point. point The pyramid is pointed. face A face is one of the surfaces of a 3D shape. This pyramid has 5 faces. side edge end A line in a 2D shape is called a side. An edge is where 2 faces meet in a 3D shape. The outer parts of a 3D shape are called the ends. This rod has 2 ends.

38 surface bigger A surface is the 2D boundary of a 3D object. Face can be used instead. Comparing the size of two objects. larger The dog is bigger than the cat. Comparing the size of two objects. smaller The butterfly is larger than the ant. Comparing the size of two objects. Year 6 symmetrical The bike is smaller than the car. A shape is symmetrical if we can fold it so that one half covers the other half exactly. line of symmetry The line of symmetry divides a shape into symmetrical parts. The blue line is the line of symmetry. axis of symmetry line symmetry Axis of symmetry is another name for line of symmetry. If a shape is symmetrical about a line, it has line symmetry reflective symmetry If a shape is symmetrical about a line, it has reflective symmetry (line symmetry).

39 fold match Bend so that one part covers another. When you fold a shape and one half covers the other exactly, the two halves match. The two halves of this shape match. mirror line reflection reflect translation The mirror line is another way of saying line of symmetry. A mirror view. To produce a reflection, you need to reflect the object in a mirror line. A translation moves an object by sliding it in any direction. The shape does not change size. Year 6 vertex vertices angle A vertex of a shape is a point at which 2 or more edges meet. It is more commonly referred to as a corner. More than one vertex. An angle is made when two straight lines cross or meet each other at a point. Its size is measured by the amount one line has been turned in relation to the other. right-angled A right angle is the angle made by a quarter turn or 90. acute An acute angle is less than 90. obtuse An obtuse angle is more than 90 but less than 180. reflex A reflex angle is greater than 180. centre Exactly in the middle of a shape.

40 radius The length of a straight line from the centre of the circle to its circumference (edge). diameter A line that cuts a circle in half and passes through the centre of the circle. circumference The circumference is the distance across the circle through the centre. Year 6 concentric Circles of different sizes but which have the same centre are concentric. arc An arc is part of the circumference of a circle. If you continued the two ends of this line, it would form a circle. net A net shows you what a solid shape would look like if you could lay it out flat. net of a cube net of a triangular prism

41 base The bottom face of a solid shape. base square-based regular When the bottom face of a solid shape is a square, e.g. in a square-based pyramid. A 2D regular shape has all sides the same length and all angles the same. On a 3D regular shape, all of the faces are identical regular polygons. irregular concave A regular octagon An irregular octagon. Any shape which is not regular (see above). A concave surface curves inwards like the inside of a bowl or a spoon. (Caves go inwards!) Year 6 convex A convex surface curves outwards like the outside of a bowl or the back of a spoon. open closed congruent When making nets of a cube, if the cube is open it is like an open box, it will have five faces rather than six. When making nets of a cube, if the cube is closed it creates a solid shape. Two shapes are congruent if they are exactly the same. One shape can be placed exactly on the other. The sides must be the same length and the angles must also be equal. These triangles are congruent.

42 intersecting If two or more lines cross, they are said to be intersecting. These lines intersect. intersection A crossing point or place. Two or more lines intersect at a point. This is the intersection. Year 6 plane tangram 3D three-dimensional cube A flat surface with no ripples, curves or bumps. Plane shapes have length or width but no thickness (2D or flat shapes). A Chinese puzzle consisting of a square divided into seven pieces that must be arranged to match particular designs. 3D shapes An object that has 3 dimensions: length, width and height. An object that has 3 dimensions: length, width and height. A cube has 6 square faces all the same size. It also has 8 corners and 12 edges. cuboid A cuboid has 6 rectangular faces. pyramid There are two types of pyramids: square based pyramid (1 square face and 4 triangular faces) sphere triangular based pyramid (4 triangular faces) also called a tetrahedron A sphere has only one curved face.

43 hemisphere spherical cone A hemisphere is half a sphere. It is made by cutting through the centre of a sphere, e.g. when the earth is cut in two it creates the northern hemisphere and the southern hemisphere. Something is spherical if it has the same shape as a sphere. A cone has a circle as its base, a curved face and a point. cylinder A cylinder has circular faces at each end and a curved face. Year 6 cylindrical prism Something is cylindrical if it has the same shape as a cylinder. A prism is a solid shape with matching ends. A prism has the same cross-section all across its length (like Blackpool rock!) tetrahedron A regular polyhedron with 4 faces that are congruent (the same size and shape) equilateral triangles. A tetrahedron polyhedron A 3D shape whose faces are all polygons. These are cube, cuboid, triangular prism, pentagonal prism, hexagonal prism, octagonal prism, tetrahedron, square based pyramid, pentagonal pyramid, octagonal pyramid, octahedron, dodecahedron and icosahedron. When each of the faces of a polyhedron is identical it is called a regular polyhedron. There are 5 different regular polyhedra (plural of polyhedron); tetrahedron (4 triangular faces), cube (6 square faces), octahedron (8 triangular faces), dodecahedron (12 pentagonal faces) and icosahedron (20 triangular faces).

44 octahedron An octahedron is a 3D shape with 8 triangular faces. dodecahedron A regular polyhedron with 12 faces that are congruent (the same size and shape) regular pentagons. A dodecahedron Year 6 2D two-dimensional circle circular semi-circle triangle 2D shapes Flat shapes are two dimensional. They have length and width, but no height or thickness. Flat shapes are two dimensional. They have length and width, but no height or thickness. A circle is a shape where it is always the same distance from the edge to the centre. Something is circular if it has the same shape as a circle. A semicircle is one half of a circle made by cutting along a line that goes from side to side through the middle of the circle. A triangle has 3 straight sides and 3 corners. triangular equilateral triangle Ensure that children see triangles in a variety of forms. Something is triangular if it has the same shape as a triangle. All three sides of an equilateral triangle are the same length and all the angles are equal at 60.

45 isosceles triangle An isosceles triangle has two equal sides and two angles that are equal. scalene triangle In a scalene triangle, all sides are different and all angles are different. square A square is a special type of rectangle. It has 4 straight sides of the same lengths and 4 right angles. Year 6 rectangle Ensure that children see squares in various rotations. A rectangle has 4 straight sides. Pairs of opposite sides are the same length. rectangular oblong Something is rectangular if it has the same shape as a rectangle. A quadrilateral with four right angles and two pairs of equal parallel sides with each pair different in length. (A rectangle in which one pair of edges is longer than the other the other form of rectangle being a square). star A star has points coming out of the centre. rhombus A parallelogram with four equal sides and equal opposite angles.

46 pentagon A pentagon has 5 straight sides and 5 corners. pentagonal hexagon Ensure that children see pentagons in a variety of forms. Something is pentagonal if it has the same shape as a pentagon. A hexagon has 6 straight sides and 6 corners. hexagonal heptagon Ensure that children see hexagons in a variety of forms. Something is hexagonal if it has the same shape as a hexagon. A heptagon has 7 straight sides and 7 corners. Year 6 octagon 20p and 50p coins are examples of heptagons. Ensure that children see heptagons in a variety of forms. An octagon has 8 straight sides and 8 corners. octagonal polygon Ensure that children see octagons in a variety of forms. Something is octagonal if it has the same shape as an octagon. Any flat shape with three or more straight sides. When all the sides and angles of a polygon are equal, it is called a regular polygon. No. of sides Name of polygon 3 triangle 4 quadrilateral 5 pentagon 6 hexagon 7 heptagon 8 octagon 9 nonagon 10 decagon 11 hendecagon 12 dodecagon

47 quadrilateral A polygon with four sides. See the table below for examples of quadrilaterals. trapezium parallelogram rhombus rectangles kite Year 6 arrowhead irregular quadrilaterals kite A flat shape having two sets of equal sides and one set of opposite angles that are equal. parallelogram A quadrilateral with opposite sides that are parallel and of equal length and opposite angles that are equal. trapezium A quadrilateral with one pair of parallel sides. An isosceles trapezium has two non-parallel sides the same length.

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