Geometry: Position and Direction
KS1MA-Y2-D007
Pupils order and arrange combinations of mathematical objects in patterns and sequences, and use mathematical vocabulary to describe position, direction and movement including rotation in terms of right angles.
National Curriculum context
In Year 2, position and direction develops from the informal turning and positional language of Year 1 to a more precise mathematical vocabulary involving right angles. Pupils should work with patterns of shapes, including those in different orientations, and use the concept and language of angles to describe 'turn' by applying rotations in practical contexts — for example, pupils themselves moving in turns, giving instructions to other pupils to do so, and programming robots using instructions given in right angles. The key development is that pupils now describe quarter, half and three-quarter turns not just as fractions of a full turn but specifically in terms of right angles — a quarter turn is one right angle, a half turn is two right angles, and a three-quarter turn is three right angles. This connects the informal experience of turning from Year 1 to the formal geometric concept of angle that pupils will develop in Year 3 and beyond.
1
Concepts
1
Clusters
1
Prerequisites
1
With difficulty levels
Lesson Clusters
Describe and make movement using right angles and half, quarter and three-quarter turns
practice CuratedOnly one concept in this domain. The right angle as a standard unit of turn is the Year 2 position/direction focus and is taught as a standalone concept.
Teaching Suggestions (1)
Study units and activities that deliver concepts in this domain.
Position and Direction on a Grid
Mathematics Pattern SeekingPedagogical rationale
Y2 extends position and direction to include the concept of a right angle as a quarter turn, which connects rotation to shape properties and measurement. Pattern-making with mathematical objects (shape sequences, colour patterns) develops algebraic thinking. Working on grids introduces the idea of coordinates informally: pupils describe positions as 'row 2, column 3' which prepares for formal coordinates in Y4. The combination of spatial reasoning and pattern work develops two key mathematical thinking skills simultaneously.
Prerequisites
Concepts from other domains that pupils should know before this domain.
Concepts (1)
Movement in a straight line and rotation as right angles
knowledge AI FacilitatedMA-Y2-C020
Year 2 extends the informal turning language of Year 1 to introduce the right angle as the standard unit of quarter turns. Pupils distinguish between movement in a straight line and movement as rotation (turning), and describe rotations specifically in terms of right angles — a quarter turn is one right angle, a half turn is two right angles, a three-quarter turn is three right angles, and a whole turn is four right angles. Mastery means pupils can make, describe and record rotations in right angle terms, and use this language to program routes and describe direction changes.
Teaching guidance
Physical movement is essential: pupils should walk in straight lines and make turning movements, describing their actions using right angle language. Programmable robots (Beebots, Scratch) provide an excellent context where right angle turns must be specified precisely as quarter turns (or 90°, though degrees are not formal until Year 5). The non-statutory guidance specifies that pupils use the concept and language of angles to describe 'turn', including in practical contexts such as giving instructions to other pupils and programming robots. Connect to the right angle as the corner of a square, and to the shape properties domain where right angles appear as shape properties.
Common misconceptions
Pupils confuse the right angle (the angle itself — a measure of turn) with 'turning right'. Right turns and left turns are different from clockwise and anticlockwise; these pairs of terms are not synonymous. Pupils may not distinguish between translation (moving in a straight line) and rotation (turning on the spot), describing all movements as 'going'.
Difficulty levels
Distinguishing between moving in a straight line and turning on the spot using physical movement.
Example task
Walk forwards 5 steps. Now stay in one spot and turn to face the window. Which was a straight line movement? Which was a turn?
Model response: Walking was a straight line. Turning on the spot was a turn (rotation).
Making quarter, half and three-quarter turns and describing them as 1, 2 and 3 right angles.
Example task
Face the door. Make a quarter turn clockwise. How many right angles did you turn?
Model response: I turned 1 right angle. I am now facing the wall that was on my right.
Describing rotations as whole, half, quarter or three-quarter turns in terms of right angles, clockwise or anticlockwise.
Example task
I face North. I make 2 right angles clockwise. Which direction do I face? How many right angles is a full turn?
Model response: I face South (2 right angles = half turn). A full turn is 4 right angles.
CPA Stages
concrete
Children physically walk in straight lines and make turning movements, distinguishing between the two types of movement. They make quarter, half, three-quarter and whole turns, counting right angles as they turn. Programmable robots (Beebots or Scratch) require precise right-angle inputs.
Transition: Child makes accurate turns of 1, 2, 3 and 4 right angles on command in either direction, and distinguishes clearly between walking (straight line) and turning (rotation on the spot).
pictorial
Children draw routes on grid paper using straight lines and right-angle turns. They mark the number of right angles in each turn on diagrams and label turns as clockwise or anticlockwise. They program simple routes for screen-based robots using right-angle turn instructions.
Transition: Child draws routes with straight lines and right-angle turns, labelling each turn correctly as 1, 2, 3 or 4 right angles, clockwise or anticlockwise.
abstract
Children describe rotations using right angle terminology without physical movement. They know that a quarter turn = 1 right angle, a half turn = 2, a three-quarter turn = 3, and a full turn = 4, and apply this in problem-solving contexts.
Transition: Child describes any rotation as a number of right angles in either direction, connects right angles to fraction-of-turn vocabulary, and solves direction problems without physical movement.
Delivery rationale
Primary maths (Y2) with concrete stage requiring physical manipulatives (Space for physical movement, Right-angle measurers (card L-shapes)). AI delivers instruction; facilitator sets up materials.