Today, I learned several common quantitative relations in math class, and I feel that I have gained a lot. First, the teacher explained the relationship between speed, time and distance, that is, speed = distance ÷ time. This formula makes me understand how the speed is calculated, and also makes me understand that when the speed is constant, the distance is proportional to the time.
Then the teacher explained the relationship between unit price, quantity and total price, that is, unit price = total price ÷ quantity. This formula makes me understand that when buying goods, the more quantity you buy, the higher the total price when the unit price is fixed.
Finally, the teacher also explained the relationship between work efficiency, working hours and total workload, that is, work efficiency = total workload ÷ working hours. This formula makes me understand that in the work, the longer the working hours, the more the total amount of work will be completed under the condition of constant work efficiency.
Through this math class, I deeply understand these common quantitative relations and their applications in real life. For example, when planning a trip, I can use the relationship between speed, time and distance to calculate the best route.
When shopping, I can use the relationship between unit price, quantity and total price to compare the prices of different commodities; At work, I can make use of the relationship between work efficiency, working hours and total workload to arrange my tasks reasonably.
In a word, today's math class has given me a deeper understanding and application of quantitative relations, and also made me like math more. I believe this knowledge will be of great help to my life and study.
Extended data:
1. Common definitions and formulas of mathematical quantitative relations
In mathematics, quantitative relationship refers to the relationship between two or more quantities. Definitions and formulas are the basis of understanding quantitative relations. For example, basic operations such as addition, subtraction, multiplication and division, percentages, fractions, decimals and integers are all commonly used quantitative relations formulas. Familiarity with these formulas can help us solve various mathematical problems quickly.
2. Application of quantitative relation
Quantitative relations are widely used, including but not limited to the following aspects: shopping, such as calculating commodity discounts, taxes, interest and so on. Planning, such as calculating the relationship between time, distance and speed, and optimizing resource allocation. Statistics, such as calculating average, median, mode, etc. Analyze the data and predict the trend. Engineering, such as calculating area and volume, making the best design scheme, etc.
3. Problem-solving skills
Problem-solving skills include but are not limited to: flexible use of formulas, familiarity with and flexible use of various formulas can help us solve problems quickly. Analyzing the background of the problem and understanding the background of the problem will help us choose the appropriate method and formula. Check the answer. When you get the answer, check whether the answer conforms to the actual meaning of the question.
After summing up and solving problems, we should sum up the formulas and methods used for better application in the future. Do more exercise. Through a lot of practice, the speed and accuracy of solving problems can be improved.