You are given a coin. Estimate how many coins are required to be placed one after the other lengthwise, without leaving any gap between them, to cover the whole length of the chosen side of a notebook. Verify your estimate by measuring the same side of the notebook and the size of the coin using a 15-cm scale.
To estimate: First, estimate the coin diameter (typically 2-2.5 cm for a standard coin) and notebook length (typically 20-25 cm for a standard notebook).
Estimated number of coins = Notebook length ÷ Coin diameter. For example, if notebook length is 20 cm and coin diameter is 2 cm, estimated coins = 10.
To verify: Measure the actual notebook side using a 15-cm scale (e.g., 20 cm). Measure the coin diameter (e.g., 2 cm).
Actual number of coins needed = 20 ÷ 2 = 10 coins. Compare the estimate with the actual measurement.
Explanation
This activity combines estimation skills with actual measurement. The chapter emphasizes the importance of using standard scales for accurate measurement. Students learn to estimate first, then verify through measurement using a 15-cm scale as described on Page 4-5.
Solution Steps
Estimate the coin diameter (typically 2-2.5 cm) and notebook length (typically 20-25 cm)
Calculate estimated number of coins = Notebook length ÷ Coin diameter
Measure the actual notebook side using a 15-cm scale
Measure the actual coin diameter
Calculate actual number of coins needed
Compare the estimate with the actual measurement