- 1. The Compass: Eight Directions
Name the four cardinal and four intercardinal compass directions, say where each lies, and use them to describe where one place is from another.
- 2. Turning Between Directions
Find the angle between any two compass directions (multiples of 45°) and work out the new direction after turning a given angle clockwise or anticlockwise.
- 3. What a Three-Figure Bearing Is (Reading One)
Understand a three-figure bearing as the angle measured clockwise from the north line, written with three figures; read a bearing from a diagram, including bearings greater than 180°, and express the compass directions as bearings.
- 4. Drawing a Three-Figure Bearing
Draw a north line and use a protractor to construct a given three-figure bearing accurately, in all four quadrants, including bearings greater than 180°, while avoiding the common protractor errors.
- 5. Acute-Angle (Compass) Bearings
Read and sketch acute-angle (compass) bearings such as N 30° E, measuring an acute angle from the nearer of North or South toward East or West, one form per quadrant.
- 6. Converting Between the Two Bearing Forms
Convert an acute-angle bearing (e.g. N 30° E) to a three-figure bearing and back, using a quick sketch to decide the correct sum or difference in each quadrant.
- 7. Back Bearings (Reciprocal Bearings)
Find a back (reciprocal) bearing using the +/- 180 rule, understand why forward and back bearings differ by 180 because the north lines are parallel, and apply it to there-and-back word problems.
- 8. Locating a Position by Scale Drawing
Plot a point from a given bearing and distance: draw the north line at the starting point, mark the bearing clockwise from north, choose a sensible scale to convert the real distance to a drawing length, and measure that length along the bearing line.
- 9. Finding a Distance by Scale Drawing
Build a scale drawing of a journey, measure an unknown straight-line distance with a ruler, and convert it back to a real distance; solve right-angled north-then-east journeys.
- 10. Multi-Leg Journeys and Synthesis
Draw a multi-leg journey to scale with a fresh north line at each point, then find the direct distance and the bearing of the finish from the start.
