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There is a spring and a ruler in the canvas above. Please observe the ruler and record the current length of the spring.
請用滑鼠或手指拖曳下方彈簧尖端的紅色圓點,將彈簧拉長或壓縮。決定好後,點擊右上方鎖定按鈕。Drag the red dot at the tip of the spring to stretch or compress it. Click the Lock button when ready.
| Unit 單位 |
Before 變化前 |
After 變化後 |
|---|---|---|
| 公分cm | ||
| 英吋inch |
Please calculate the percentage change based on your recorded values.
| Unit 單位 |
Before 變化前 |
After 變化後 |
變化量Change | Percentage Change Calculation 變化量百分比計算 (Change ÷ Before)(變化量 ÷ 變化前) |
|---|---|---|---|---|
| 公分cm |
|
|||
| 英吋inch |
|
Now drag the spring freely! The canvas will automatically display the "Absolute Length (cm)" and "Relative Length (%)".
💡 Focus:思考重點: cm is a fixed "external measurement", while % is an "internal measurement" based on the spring itself.
There are two ways to calculate percentage change (relative change as translation):計算變化量百分比有兩種方式:
(1) Calculate change externally, then measure internally:
First, determine the change as a translation, and then calculate its relative measure.首先計算作為平移的變化量,然後計算它的相對比例。
(2) Measure states internally, then calculate change:
First, calculate the relative measures, and then determine the change as a translation.首先計算各自的相對比例,然後計算比例的變化差值。
Note:註: The beginning relative to itself is 1. The end relative to the beginning also represents the change as a dilation.
📝 Teacher's Summary: / 老師的總結:
Excellent! In this experiment, you learned two perspectives on measuring length:
太棒了!你已經具備了科學家的觀察力與數學家的計算力!Great job! You now have the observation skills of a scientist and the calculation skills of a mathematician!
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