Year 10 - Maths
Checking and securing understanding of scaled drawings
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 interpret scaled drawings in a variety of contexts.
Key Notes
- Maps are a practical example of a multiplicative relationships.
- The scale factor is the multiplier.
- The multiplicative relationship can be written as a ratio.
- Real-life scaling involves writing a ratio involving the parts which are dependent on each other.
Vocabulary To Learn
- Proportionality: Variables are in proportion if they have a constant multiplicative relationship.
- Ratio: A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.
Common Mistakes To Avoid
- Misinterpreting a scale, particularly if given with no units.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Maps are a practical example of a multiplicative relationships. The scale factor is the multiplier.
2. Use this key word in a maths sentence and explain it clearly. 'Proportionality'
Variables are in proportion if they have a constant multiplicative relationship. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Misinterpreting a scale, particularly if given with no units. Correction: Encourage pupils to carefully convert the scale into a more useful scale. E.g. writing 1 : 20 0000 as 1 cm = 2 km.
More Lessons In This Unit
Browse all guides in the Year 10 Maths guide library.