Summary
In this chapter, students learn to apply mathematical concepts to solve real-world context problems, which are increasingly tested in exams.
- Distance-Time Graph — shows the distance covered over time. Example: At 4 hours, the distance covered is 8 km.
- Speed-Time Graph — the area under the graph represents the distance covered, and the gradient indicates acceleration. Example: From 10-20 seconds, the acceleration is 0 m/s², and the distance covered is 150 m.
- Acceleration-Time Graph — indicates constant acceleration if the graph is a horizontal line. Example: At 12 seconds, the acceleration is 0 m/s².
- Simple Interest — interest calculated on the initial principal only. Example: 84 interest.
- Currency Conversion — converting one currency to another using a given exchange rate. Example: SGD 300 converts to USD 219 at an exchange rate of SGD 1 = USD 0.73.
Exam Tips
Key Definitions to Remember
- Distance-Time Graph: Distance covered over time.
- Speed-Time Graph: Area under the graph shows distance; gradient shows acceleration.
- Acceleration-Time Graph: Horizontal line indicates constant acceleration.
- Simple Interest: Interest on the initial principal.
- Currency Conversion: Using exchange rates to convert currencies.
Common Confusions
- Confusing the area under a distance-time graph with distance.
- Misinterpreting the gradient of a speed-time graph.
Typical Exam Questions
- What does the area under a speed-time graph represent? Distance covered
- How do you find acceleration from a speed-time graph? By calculating the gradient
- How is simple interest calculated? Using the formula: Principal x Rate x Time
What Examiners Usually Test
- Ability to interpret graphs in real-world contexts
- Application of mathematical concepts to solve practical problems
- Understanding of currency conversion and interest calculations