C06 Graphs of Functions (I)
对应大纲的内容
| M4.12 | Recognise, sketch and interpret graphs of:
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| M4.13 | Interpret graphs (including reciprocal graphs and exponential graphs) and graphs of non‑standard functions in real contexts to find approximate solutions to problems, such as simple kinematic problems involving distance, speed and acceleration. |
| M4.14 | Calculate or estimate gradients of graphs and areas under graphs (including quadratic and other non‑linear graphs), and interpret results in cases such as distance–time graphs, speed–time graphs and graphs in financial contexts. |
学习目标
- Recognise and sketch core architectures to confidently identify the defining features of linear, quadratic, simple cubic, reciprocal $\left(\frac{1}{x}\right)$, and basic exponential $( k^x )$ graphs without relying on a calculator.
- Execute basic transformations by applying simple translations and reflections to standard curves, accurately tracking the resulting movement of key features such as intercepts and asymptotes.
- Interpret contextual and non-standard graphs to extract mathematical data from real-world scenarios—including simple kinematics like distance-time or speed-time graphs—and evaluate approximate solutions graphically.
建议时间
| Task | No. of Questions | Suggested Time |
|---|---|---|
| Examples | 13 | 120 min |
| Quiz | 9 | 20 min |
| Practice A | 30 | 60 min |
| Practice B | 30 | 75 min |
| Total | 82 | approx. 4-5 hrs |
