Normally, a person's monthly water billNormally, a person's monthly water bill would vary according to the region, personal water usage habits, and other factors. Generally speaking, it was about 30 to 50 yuan. If the individual's water usage habits were special, such as using a washing machine, a dishwashing machine, or bathing frequently, the water bill might be slightly higher. Starting from December 1st, the whole country began to collect water resource tax. Water resource tax had to be paid together with water bill. The tax amount of water in different areas was different. The lowest tax amount for surface water was 0.1 yuan/cubic meter, and the lowest for underground water was 0.2 yuan/cubic meter. This would also affect a person's monthly water bill. However, if rural residents took water from the village's ponds and reservoir, or if their families used a small amount of water daily or raised small animals to drink a small amount of water, they did not need to pay the water resource tax.
How much is the water and electricity bill for the loft apartment in a month?Different lofts had different utility bills. There was a 60-square-meter loft apartment with a monthly utility fee of about 900 - 1300 yuan. There was also a loft apartment that had lived for four years. The electricity bill was about 100 yuan per month, the water bill was about 15 yuan per month, and the central air-conditioning electricity bill in summer was about 100 yuan. There was also a property fee of 5 yuan per square meter, water bill of 5.5 yuan per ton, and electricity bill of 0.8 yuan per kWh. However, the specific amount of the overall utility fee was not given.
Middle school mathematics water bill problem teaching plan and reflection how to writeThe following is an example of a lesson plan and reflection on the water bill in middle school mathematics:
##1. Water Rate Problem
###(1) Teaching objectives
1. Knowledge and Skill Target
- Students will be able to understand the connection between water bill calculation and mathematical knowledge (such as proportions, functions, etc.).
- Master the mathematical calculation method according to different water pricing methods (such as ladder water fee).
2. process, method, goal
- Through the analysis and solution of the actual water fee problem, the students 'ability to use mathematical models to solve practical problems is cultivated.
- To improve the students 'ability to analyze data and establish equations or unequal relationships.
3. Emotions, attitudes, values, goals
- To enhance the students 'awareness of water conservation and to experience the practicality of mathematics in their daily lives.
###(2) Difficulties in Teaching
1. ** Main point **
- Understand and master the mathematical principles of water fee calculation, such as the relationship between unit price, water consumption and total price.
- To solve the problem of the ladder water bill, he could calculate the cost in sections correctly.
2. ** Difficulty **
- According to the actual situation, a mathematical model was established, such as the functional expression of the ladder water fee.
- Analyzing the relationship between variables in the complex water bill problem.
###(3) Teaching Method
Teaching method, discussion method, and practice method were combined.
###(4) Teaching process
1. ** import (5 minutes)**
- By showing household water bills or some news reports about water waste and water bills, the topic of this lesson-water bills will be introduced. Ask the students if they know how to calculate their own water bill. Ask the students to think about the relationship between water bill and water consumption.
2. ** Knowledge explanation (15 minutes)**
- Simple water rate calculation
- Explain the basic water rate calculation formula: total price = unit price x water consumption. For example, if the unit price per ton of water is a yuan and a household uses x tons of water, then the household's water bill is ax yuan.
- Give some simple calculation examples and let the students do some calculation exercises. For example, the unit price is 3 yuan/ton, the water consumption is 10 tons, and the water fee is calculated.
- Staircase water rate calculation
- The concept of tiered water charges was introduced. According to the different ranges of water consumption, different unit prices were used to calculate the water charges.
- Take the tiered water fee of a certain place as an example: when the water consumption is 0 - 10 tons, the unit price is 3 yuan/ton; when the water consumption is 11 - 20 tons, the unit price is 4 yuan/ton; when the water consumption exceeds 20 tons, the unit price is 5 yuan/ton.
- Explain how to calculate the water bill according to different water consumption. For example, if a household consumes 15 tons of water, then the water fee is calculated as: the cost of the first 10 tons is 10×3 = 30 yuan, the cost of the excess 10 tons (15 - 10 = 5 tons) is 5×4 = 20 yuan, and the total water fee is 30+20 = 50 yuan.
3. ** Group discussion and case study (20 minutes)**
- The students were divided into groups of 4 - 5 people.
- Give some complicated water bill cases, such as cases that include water consumption for multiple months and changes in water bill standards for different levels.
- Case study: A residential area implemented a new tiered water fee system, with a charging cycle from January to June. From January to March, the unit price of 0 - 12 tons was 2.5 yuan/ton, the unit price of 13 - 20 tons was 3.5 yuan/ton, and the unit price of more than 20 tons was 4.5 yuan/ton; from April to June, the unit price of 0 - 10 tons was 2.8 yuan/ton, the unit price of 11 - 18 tons was 3.8 yuan/ton, and the unit price of more than 18 tons was 4.8 yuan/ton. A family's water consumption from January to March is 18 tons, and from April to June is 15 tons. Please ask for the family's water bill for this half a year.
- The group was required to discuss, analyze the problem, find the solution, and calculate. The teacher patrolled the groups and gave them guidance.
- Each group would send a representative to report the results of the discussion and show the process of solving the problem. The other groups could ask questions and supplement them.
4. ** Class practice (10 minutes)**
- Arrange a few different types of water fee exercises for the students to complete independently. The practice questions included the changes in the water fee standards of different tiers and the water consumption at different times.
- The teachers would patrol and find problems with the students in time and provide individual tutoring.
5. ** Summing up and homework (5 minutes)**
- This was a summary of the key content of the lesson, including the basic water rate calculation, the ladder water rate calculation method, and the ideas to solve the water rate problem.
- Homework: Ask the students to go home and collect their water bills for the past few months, analyze whether the water bill is calculated in a tiered manner, and if so, calculate the water consumption and cost of different tiers, and think about how to reduce water bills by saving water.
##2. Reflection on Teaching
###(I) Success
1. ** The effectiveness of teaching methods **
- It used a variety of teaching methods. The introduction part attracted the students 'attention through real-life water bills and news reports, stimulating their interest in learning. The group discussion and case analysis sessions allowed students to actively participate in the classroom, improving their ability to cooperate and solve practical problems.
- The application of the practice method helped to consolidate the knowledge that the students had learned, and to discover the problems that the students had in the learning process in time and provide guidance.
2. ** Practicality of teaching content **
- The water bill problem was a common mathematics application problem in daily life. The teaching content was closely related to real life, so that students could feel the wide application of mathematics in life and enhance their enthusiasm for learning mathematics.
- The explanation of the ladder water fee allowed the students to understand the different pricing methods and cultivate the students 'ability to deal with complicated practical problems.
###(2) Deficiency
1. ** Some students have difficulty understanding **
- In the process of calculating the water fee, it was difficult for some students with weak mathematical foundations to understand the calculation methods of different steps. In the future, more attention should be paid to hierarchical teaching. For these students, more basic exercises and individual tutoring could be provided.
2. ** The timing is not accurate enough **
- During the group discussion and case analysis, due to the heated discussion of the students, it took a little longer than expected, resulting in a little tight practice time in class. Some students could not complete all the exercises in class. In the future, he needed to control the time of each teaching session more accurately.
###(3) Enhancement measures
1. ** Design teaching for students of different levels **
- In the process of preparing lessons, the individual differences of the students were fully taken into account, and the layered teaching content was designed. For students with weak foundations, some simple water fee examples could be added to gradually guide them to understand complex calculation methods. For students who had the ability to learn, some expanded water fee questions could be provided, such as questions involving water fee preferential policies, different charging cycles, etc.
2. ** To improve the teaching schedule **
- Inform the students of the time limit before the group discussion and remind them during the discussion. Reasonably adjust the time allocation for each teaching session to ensure that there is enough time for classroom practice so that students can fully consolidate what they have learned. At the same time, he could flexibly adjust the teaching progress according to the students 'performance in class and practice.
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