Problem solving with bearings
I can use my knowledge of bearings to solve problems.
Problem solving with bearings
I can use my knowledge of bearings to solve problems.
Lesson details
Key learning points
- Right-angled trigonometry may be useful when dealing with bearings.
- Right-angled trigonometry can help you calculate more information.
- Angle facts can be a simpler way of deducing information.
Common misconception
Pupils do not measure the angle from North and simply measure the angle between two line segments.
Reiterate bearings are always measured from North, in a clockwise direction and stated as 3 figures. Encourage pupils to draw North on the correct position before attempting the question.
Keywords
Transversal - A transversal is a line, line segment, or ray that intersects through two or more lines at distinct (different) points.
Corresponding - Corresponding angles are a pair of angles at different vertices on the same side of a transversal in equivalent positions.
Alternate - Alternate angles are a pair of angles, both between or both outside two line segments, that are on opposite sides of the transversal that cuts them.
Co-interior - Co-interior angles are on the same side of the transversal line and in between the two other lines.
Bearing - A bearing is an angle measured in degrees from North in the clockwise direction and written with three figures.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
Equilateral triangle -
60°
Square -
90°
Pentagon -
108°
Hexagon -
120°
Exit quiz
6 Questions
Due South -
has a bearing of 180°
Due West -
has a bearing of 270°
Due East -
has a bearing of 090°
Due North-East -
has a bearing of 045°
Due South-East -
has a bearing of 135°
Due South-West -
has a bearing of 225°
Bearing from X to Y -
030°
Bearing from Y to X -
210°
Bearing from X to Z -
090°
Bearing from Z to X -
270°
Always true -
The sum of co-interior angles is always 180°
Never true -
Angles around a point sum to 180°
Sometimes true -
If the bearing from A to B is $$x$$° then B to A is 180°+ $$x$$°