Story background: Crows need to find water because of flight fatigue. It found a bottle of water, but the water level was too low to drink directly. Crows need wisdom to figure out how to drink water. Mathematical integration: We can turn this problem into a mathematical problem and let students solve it with mathematical thinking.
Question 1: Suppose there is 200 ml of water in the bottle, and the crow needs to drink 100 ml. If a crow can only put stones into a bottle with its mouth, how many stones does it need to drink water? This problem allows students to use the proportional relationship to calculate. They need to understand that every time a stone is put in, the water level in the bottle will rise a little. When the water level reaches 100 ml, crows can drink water.
Question 2: Suppose there is less and less water in the bottle, and the crow needs to drink less and less water. If the crow needs to drink 80 ml of water, and the water in the bottle is only 120 ml, how many stones does the crow need to drink at least?
This question can help students understand the concepts of score and percentage. They need to know that although there is more water in the bottle, the crow needs to drink less water. In this problem, 80 ml is 200 ml of 1/3, so the crow needs to put enough stones to raise the water level to 1/3 so that it can drink 80 ml of water.
The function and significance of mathematics;
1. Solving practical problems: Mathematics is a tool that can help us solve many practical problems, such as calculating costs, solving geometric problems, making statistical analysis and forecasting.
2. Cultivate thinking ability: Mathematics is an effective way to cultivate thinking ability. By studying mathematics, we can exercise our logical reasoning ability, abstract thinking ability, imagination and creativity, and improve our ability to solve problems.
3. Promote the study of other disciplines: Mathematics is the foundation of many other disciplines, such as physics, chemistry and computer science. Mastering the basic knowledge of mathematics is helpful for us to better understand and apply the knowledge of these subjects.