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Position, Movement and Compass Directions

CAPS Senior Phase Mathematics (South Africa): Grade 8–9

8 ready-made resources for teaching Position, Movement and Compass Directions, written for CAPS Senior Phase Mathematics. Slides, worksheets, mark schemes, homework, an assessment and retrieval quizzes, all with SEN-friendly scaffolding built in as standard. Below is what the topic requires and where learners usually go wrong, free to read whether or not you sign up.

Independently rechecked. These files were written to the specification from our own topic maps, then put through a separate recheck pass from the one that wrote them, which found and fixed real errors. A subject teacher has not signed them off individually, so give them your usual read before you teach from them.

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What is in this bundle

Assessment mark schemeWord, editable
End-of-topic assessmentWord, editable
HomeworkWord, editable
Retrieval-practice quizzesWord, editable
SlidesPowerPoint, editable
Starter & exit ticketWord, editable
Worksheet (Grade 8 & 9)Word, editable
Worksheet mark schemeWord, editable

Grade 8

Locate position on a coordinate system, using the Cartesian plane in the first quadrant.
Describe how to move between two positions using horizontal and vertical change, and using compass directions in words (carried forward and extended from Grade 7, which already includes some informal degree-based direction, e.g. "20° West of South").

Grade 9, in addition

Locate position and describe movement between positions using ordered grids and the Cartesian plane extended to all four quadrants (Grade 7-8 worked in the first quadrant only).
Formalise compass direction as the required representational system, in the [N/S] [angle]° [E/W] format (e.g. S 45° E): building on the informal degree-based direction already met in Grade 7, not introducing numeric direction for the first time.
Identify and use the angle of elevation and angle of depression, and find an unknown distance involving them by accurate scale construction, without a trig ratio, since no trigonometry exists yet at this grade.

Where learners go wrong

Plotting a coordinate in the wrong quadrant once four-quadrant work begins at Grade 9, particularly confusing the sign conventions for negative x and negative y.
Swapping the x and y values when plotting or reading a coordinate.
Confusing the angle of elevation (measured upward from the horizontal) with the angle of depression (measured downward from the horizontal): these are equal to each other between two points, which is itself often a source of confusion rather than clarity if not explicitly taught.
Writing a compass direction with the reference direction and turned angle the wrong way round (e.g. writing E 45° S instead of S 45° E), or measuring the turn in the wrong rotational sense.
Reaching for a trig ratio to solve an elevation/depression distance problem, when CAPS Grade 8-9 expects an accurate scale construction instead: this is a genuine trap for anyone drafting content by analogy to UK GCSE, where the equivalent question would use trigonometry.

How it gets asked in the exam

"Plot the point ... on the Cartesian plane", "Describe how to move from ... to ...", "Determine the compass direction of ... from ..., in the form S/N ...° E/W", "By construction, determine the approximate distance of ...", "Identify the angle of elevation/depression in the diagram".

Key vocabulary

Coordinate, ordered pair, Cartesian plane, quadrant, compass direction, angle of elevation, angle of depression, scale drawing/construction.

Assumed prior knowledge

Plotting and reading ordered pairs on a Cartesian plane, first quadrant (Grade 7-8 content).
Compass direction vocabulary (north, south, east, west, and intermediate directions) from earlier phases.
Measuring an angle accurately with a protractor (Geometric Constructions topic).

How Speca scaffolds this topic

Use a consistent four-quadrant grid template with quadrants numbered and colour-coded, so the shift from one-quadrant to four-quadrant work at Grade 9 is visually anchored rather than abstract.
A compass rose showing north marked and degree markings around it, used consistently whenever a direction-in-degrees question appears, reinforces the two details most often confused: the reference direction and the direction of rotation.
For angle of elevation/depression, use a matched pair of diagrams (one viewpoint looking up, one looking down at the same two points) side by side the first time this is introduced, making the equal-angle relationship visually obvious rather than only stated.
For distance problems involving elevation/depression, model the accurate scale-construction method explicitly (choose a scale, construct the angle with a protractor, measure the resulting length, convert back using the scale) as its own chunked routine: don't let it collapse into "just measure it," since the scale-conversion step is where marks/understanding are most often lost.

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