Download Geometry - Position and direction

Numeracy Planning
Geometry - Position and Direction - Overview
Year 1
• describe position, directions and movements, including half, quarter and threequarter turns. (From Year 2)
Year 2
• order and arrange combinations of mathematical objects in patterns
• use mathematical vocabulary to describe position, direction and movement,
including distinguishing between rotation as a turn and in terms of right angles
for quarter, half and three- quarter turns (clockwise and anti-clockwise), and
movement in a straight line.
Year 3
• 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.
(From Year 4 and Year 5)
Year 4
• describe positions on a 2-D grid as coordinates in the first quadrant (‰rom Year
5)
• describe movements between positions as translations of a given unit to the
left/right and up/down (From Year 5)
• plot specified points and draw sides to complete a given polygon. (From Year 6)
Year 5
• 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.
Year 6
• 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.
Year 7
Geometry and measures
• solve problems involving perimeter and area of triangles, circles and composite
shapes; and cross-sectional areas, surface area and volume of cubes, cuboids,
prisms, cylinders and composite solids
• use compound units such as speed, unit pricing and density to solve problems
• use concrete and digital instruments to measure line segments and angles in
geometric figures, including interpreting scale drawings
• illustrate by sketching, constructing and drawing on coordinate axes: point,
line, vertex, parallel, perpendicular, right angle, regular, symmetric and
irregular polygons, using conventional terms and notations
• identify properties, e.g. equal lengths, circles, triangles, quadrilaterals and
other plane figures, using appropriate language
• identify and construct congruent triangles, and construct similar shapes by
enlargement
• know and use angle relations in parallel lines to deduce unknown angles
• apply angle facts, triangle congruence, similarity and properties of named
quadrilaterals to derive results about angles and sides, using
transformational, axiomatic and property-based logical reasoning
• use Pythagoras’ Theorem and side ratios in similar triangles to solve problems
in right-angled triangles
• identify face, edge and vertex properties of: cubes, cuboids, prisms, cylinders,
pyramids, cones and spheres
• interpret mathematical relationships both algebraically and geometrically.