Year 1

Position and direction

• Describe position, direction and movement, including whole, half, quarter and three quarter turns.

Properties of shapes

• Recognise and name common 2-D and 3-D shapes, including: 
• 2-D shapes [for example, rectangles (including squares), circles and triangles]
• 3-D shapes [for example, cuboids (including cubes), pyramids and spheres].

Year 2

Position and direction

• Order and arrange combinations of mathematical objects in patterns and sequences
• Use mathematical vocabulary to describe position, direction and movement, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns (clockwise and anticlockwise).

Properties of shapes

• Identify and describe the properties of 2-D shapes, including the number of sides and line symmetry in a vertical line 
• Identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces
• Identify 2-D shapes on the surface of 3-D shapes, [for example, a circle on a cylinder and a triangle on a pyramid]
• Compare and sort common 2-D and 3-D shapes and everyday objects.

Year 3

Properties of shapes

• Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them
• Recognise angles as a property of shape or a description of a turn
• Identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn; identify whether angles are greater than or less than a right angle
• Identify horizontal and vertical lines and pairs of perpendicular and parallel lines.

Year 4

Position and direction

• Describe positions on a 2-D grid as coordinates in the first quadrant
• Describe movements between positions as translations of a given unit to the left/right and up/down
• Plot specified points and draw sides to complete a given polygon.

 Properties of shapes

• Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes.
• Identify acute and obtuse angles and compare and order angles up to two right angles by size.
• Identify lines of symmetry in 2-D shapes presented in different orientations.
• Complete a simple symmetric figure with respect to a specific line of symmetry.

Year 5

Position and direction

• Identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed.

 Properties of shapes

• Identify 3-D shapes, including cubes and other cuboids, from 2-D representations 
• Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
• Draw given angles, and measure them in degrees (o )
• Identify:
• Angles at a point and one whole turn (total 360 degrees )
• Angles at a point on a straight line and 1/2 a turn (total 180  degrees )
• Other multiples of 90 degrees
• Use the properties of rectangles to deduce related facts and find missing lengths and angles 
• Distinguish between regular and irregular polygons based on reasoning about equal sides and angles.

 Year 6

Position and direction

• Describe positions on the full coordinate grid (all four quadrants)
• Draw and translate simple shapes on the coordinate plane, and reflect them in the axes.

 Properties of shapes

• Draw 2-D shapes using given dimensions and angles
• Recognise, describe and build simple 3-D shapes, including making nets
• Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons
• Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius
• Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.