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Geometry

Position and Direction of Shape

POSITION, DIRECTION AND MOVEMENT

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

describe position, direction and movement, including half, quarter and three-quarter turns.

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

anti-clockwise)

 

describe positions on a

2-D grid as coordinates in the first quadrant

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

describe positions on the full coordinate grid (all four quadrants)

 

describe movements between positions as translations of a given unit to the left/right and up/down

draw and translate simple shapes on the coordinate plane, and reflect them in the axes.

 

 

 

plot specified points and draw sides to complete a given polygon

 

 

PATTERN

 

order and arrange combinations of mathematical objects in patterns and sequences

 

 

 

 

Properties of Shape 

IDENTIFYING SHAPES AND THIER PROPERTIES

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

recognise and name common 2-D and 3-D shapes, including:

  • 2-D shapes [e.g. rectangles (including squares), circles and triangles]
  • 3-D shapes [e.g. cuboids (including cubes), pyramids and spheres].

 

identify and describe the properties of 2-D shapes, including the number of sides and line symmetry in a vertical line

 

 

identify lines of symmetry in 2-D shapes presented in different orientations

 

identify 3-D shapes, including cubes and other cuboids, from 2-D representations

 

recognise, describe and build simple 3-D shapes, including making nets

(appears also in Drawing and Constructing)

identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces

 

illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius

identify 2-D shapes on the surface of 3-D shapes, [for example, a circle on a cylinder and a triangle on a pyramid]

 

DRAWING AND CONSTRUCTING

 

 

draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them

complete a simple symmetric figure with respect to a specific line of symmetry

draw given angles, and measure them in degrees (o)

draw 2-D shapes using given dimensions and angles

recognise, describe and build simple 3-D shapes, including making nets (appears also in Identifying Shapes and Their Properties)

 

 

 

 

COMPARING AND CLASSIFYING

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

 

compare and sort common 2-D and 3-D shapes and everyday objects

 

compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes

 

use the properties of rectangles to deduce related facts and find missing lengths and angles

compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons

 

 

 

distinguish between regular and irregular polygons based on reasoning about equal sides and angles

 

ANGLES

 

 

recognise angles as a property of shape or a description of a turn

 

know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles

 

 

 

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 acute and obtuse angles and compare and order angles up to two right angles by size

 

identify:

  • angles at a point and one whole turn (total 360o)
  • angles at a point on a straight line and ½ a turn (total 180o)
  • other multiples of 90o

 

recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles

 

 

identify horizontal and vertical lines and pairs of perpendicular and parallel lines