Year 10 - Maths
Reverse bearings
Bearings
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, pupils apply their knowledge of angles in order to calculate bearings and solve angle problems within the context of bearings.
Lesson Summary
You will learn to work out the bearing of point A from point B, given the bearing of point B from point A.
Key Notes
- Bearings are measured from North in a clockwise direction.
- Angle facts can be used to deduce the bearing of point.
- Additional lines may be added to a diagram to facilitate problem solving.
Vocabulary To Learn
- 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.
Common Mistakes To Avoid
- Pupils do not measure the angle from North and simply measure the angle between two line segments.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Bearings are measured from North in a clockwise direction. Angle facts can be used to deduce the bearing of point.
2. Use this key word in a maths sentence and explain it clearly. 'Transversal'
A transversal is a line, line segment, or ray that intersects through two or more lines at distinct (different) points. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils do not measure the angle from North and simply measure the angle between two line segments. Correction: 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.
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