The teaching plan of mathematical life and percentage (1) in the second volume of the sixth grade: the content of the textbook of life and percentage on page 16.
Teaching objectives:
1, combined with the specific situation, experienced the process of comprehensively applying the knowledge learned to solve financial problems.
2. Learn to manage money, and be able to make a reasonable explanation for the financial plan designed by yourself.
3. Feel the importance of financial management and cultivate a scientific and reasonable concept of financial management.
Teaching emphases and difficulties:
Learn to manage money, and be able to make a reasonable explanation for the financial plan designed by yourself.
Teaching preparation:
Revision and supplement of teaching process
First, review the introduction:
Like us, in the previous study, we already know that "interest" is closely related to our lives, and it can be said that "interest" is also one of the ways for us to make money. But the benefits brought by different financial management methods are different, so how can financial management bring us as much return as possible? Let's take part in today's activities!
Second, explore new knowledge.
1, activity 1
What the students know about the interest rate is exactly the same as the interest rate table on page 1 1 in the textbook. Talk about what you know about the reasons for the adjustment of national interest rates.
Students communicate in groups and organize students to report:
A, there are many factors that affect interest rates, such as inflation, foreign trade and domestic economic development. When inflation is serious, the state will generally implement the corresponding tightening monetary policy, that is, reduce currency issuance and raise interest rates, so that ordinary people will be more willing to deposit their funds in banks; If the foreign trade is unbalanced, it will lead to the depreciation or appreciation of independent currencies, thus affecting the purchasing power of currencies. Through the change of exchange rate, the trend of interest rate will also be affected accordingly.
B, from the demand point of view, interest rate cuts are conducive to reducing investment costs, reducing the willingness to save, and expanding consumer demand, thus helping to expand domestic demand. From the supply point of view, reducing interest rates is conducive to reducing the financial burden of enterprises and preventing further deterioration of corporate profits.
C. Different interest rate levels represent different policy needs. When a stable policy environment is needed, the central bank will raise the benchmark interest rate of deposits and loans in a timely manner, reduce the demand and supply of money, reduce the demand for investment and consumption, and curb the overheating of demand; When a positive policy environment is needed, the central bank can reduce the benchmark interest rate of deposits and loans in time to promote consumption and investment.
2. Activity 2.
Teacher: From a macro perspective, we know that interest rates are constantly adjusted according to actual needs. As for our personal actual needs, we should also carefully choose our own financial management methods. Please look at the ordinary interest rate table below and help Aunt Li calculate it. If you deposit 20,000 yuan in the bank for your son to go to college six years later, which way will get the most interest? You can work in groups and calculate with calculators. (Courseware demonstration: interest rate table on page 16 of the textbook)
Students cooperate in groups; The teacher patrolled to find out the situation.
When organizing student exchanges, it must be clear that the deposit period is six years. When it needs to be taken out and deposited again, the last interest should be deposited as part of the principal. Through calculation, students can clearly realize that the one-time deposit method is more interesting than the one-time deposit method.
Teacher: the term of ordinary savings deposits is divided into different types, and the interest earned in different ways is also different; Similarly, education
The term of savings deposit and the term of national debt are also divided into different types. In addition to ordinary savings deposits, Aunt Li Can also chooses education savings deposits or national debt, so what way can education savings deposits get the maximum interest? How much is the interest? What about national debt? Please adjust the interest rate of education savings deposit and national debt by yourself, and take the group as the position to calculate after class, so as to help Aunt Li design a reasonable deposit business and maximize the income after six years.
Third, the class summary
Q: What did you learn from this lesson?
Students freely exchange experiences.
Q: There are percentages everywhere in life, and life contains infinite mathematical knowledge. I hope students care about our life, love our mathematics and actively use mathematics knowledge to solve the same problems in life.
Fourth, after-school expansion.
Xiaoming's family of three, mother's monthly salary is 1 160 yuan, and father's monthly salary is 2 180 yuan (salary before personal income tax). The monthly expenses of families are as follows:
Clothing, food, entertainment, fitness, water and electricity books and newspapers.
Cost (RMB) 800 300 120 60
Xiaoming will go to college in a few years, and Xiaoming's family is going to make a plan to save money. How much money can they save in a month? Please give Xiaoming's family a suggestion to save money and explain the reasons. (Note: Personal income tax shall be paid at 5% if the personal income exceeds 2,000 yuan and does not exceed that of 500 yuan).
Mathematics life and percentage teaching plan in the second volume of grade six (II) Teaching objectives:
1. Knowledge goal: to help students deepen their understanding of percentages, master the calculation methods of various percentages in life, solve the application problem of finding the percentage of one number to another by finding the percentage of one number to solve some simple practical problems in life, and cultivate students' knowledge transfer ability and mathematics application consciousness.
2. Ability goal: to cultivate students' ability to solve the percentage problem in production and life.
3. Innovation goal: train students to use knowledge to solve practical problems in life.
4. Moral education goal: Infiltrate the idea of probability statistics.
5. Teaching emphasis: the percentage of learning to answer practical questions in life.
6. Teaching difficulties: understanding of some percentages.
7. Prepare teaching AIDS: CAI courseware, students prepare calculators.
8. Teaching process:
First, the scene is introduced.
1, look at the slogan.
Teacher: Please read aloud freely. Cai shows advertising language. Such as: Nongfu Spring, a little sweet! )
Can you say a few slogans?
Teacher: Some advertisements are expressed in this way, and some are expressed with mathematical knowledge. Cai shows the price list and briefly introduces DDC as a data transmission method.
"Join the ranks of DDC users immediately, and you can enjoy long-distance telephone service that saves 25% per minute compared with general telephone charges."
National DDC stored value preferential price (RMB) call charges
Canada
USA 5.42 6.80
Britain 6.27 8.80
Australia
Japan
Singapore 5.89 6.90
2. Question: What kind of phone bill should I deposit?
Teacher: If you are a customer, can you directly see which country is the most economical to call from Hong Kong?
Second, self-study and feedback information.
1, calculation of percentage.
Teacher: Please discuss in groups and improve the price list. How can customers see at a glance which country is the most economical to call?
Students discuss the design in groups and then give feedback.
According to the students' opinions, the teacher added a column "saving percentage".
National DDC stored value preferential price (RMB) saving percentage of ordinary telephone
Canada
USA 4.90 6.80
Britain 6.34 8.80
Australia
Japan
Singapore
Teacher: How about the percentage of savings? Please discuss it first, and then use the calculator to calculate the percentage of each item.
After the students discuss in groups, give feedback and summarize the calculation method.
[Blackboard book: (DDC preferential price-general phone bill) general phone bill = saving rate]
Summary: The higher the savings rate, the less telephone bills are used, and the more economical it is.
2. Practical application
Teacher: The savings rate of telephone calls to Britain is even higher than that in advertising language. Let's help advertising companies make a little change in advertising language to make it more attractive to customers. (Cai shows that "25%" is changed to "28%")
Teacher: The business competition in modern society is too fierce. In order to attract more customers, the advertising company set the saving rate at 28%. So, what are the preferential prices for calling countries with DDC now? Can you help me find out?
Students discuss and report the calculation method and the calculated results. [Teacher's blackboard book: general phone bill (1- 28%)= preferential price]
3. Expand the application
(1), calculate the discount rate.
Teacher: Do students like McDonald's? (showing the coupon given by McDonald's restaurant) If you buy it, which one do you think is more cost-effective? (Cai shows two different coupons: A, 7 yuan's chicken wings discount 5 yuan, B, 14.40 yuan hamburger discount 10 yuan. )
Let the students use what they have learned to test their guesses.
Collective verification conclusion and summary method.
(2) Calculate the weight before giving.
Teacher: Percentages are widely used in daily life. You see, percentages are also used in advertisements for instant noodles. Cai showed the advertisement on the instant noodle packaging bag: 25% of the gift, and no increase in the quantity. )
Teacher: I weigh 78 grams now. Do you know how many grams it was before the gift?
Students discuss the calculation method first, and then answer in groups.
Students report the calculation method. [According to the students' answers, the teacher wrote on the blackboard: original weight (1+25%)= present weight]
(3), thinking:
Xiaoming found 100 yuan on his way to school. When looking for the owner, Xiao Ming joked: "I used to have 100 yuan in my schoolbag, but now I have found 100 yuan, and my wealth has increased by 100%." After Xiao Ming returned the money to the owner, Xiao Ming said that I got 100 yuan, which made my wealth reach 200 yuan. Now I have refunded 100 yuan to the owner, which is 50% less, and I also earned 50%.
Students are free to express their views.
Third, the class summarizes.
1, Teacher: What did you learn today? What's the use of what we learned today in our daily life?
2. Teacher: Who do you think studied best today? What do you think of your study?
Mathematical life and percentage teaching plan (3) Unit goal:
1, continue to deepen the understanding of the meaning of percentage and its application in practice.
2. Can flexibly convert decimals, fractions and percentages to each other, and improve the calculation ability.
3. Understand the meanings of discount, percentage, tax payment and interest, know their simple applications in life, and make simple calculations in this respect.
4. On the basis of understanding and analyzing the quantitative relationship, students can correctly answer the questions about percentage.
Unit focus:
With the meaning of percentage, what percentage of the application questions can be answered correctly?
Unit difficulty:
More complicated percentage application problem.
First class: discount
1, understand the meaning of discount according to the actual needs of life.
2. Practice the meaning of discount and deepen your understanding of the meaning.
3. Have a preliminary understanding of how to purchase the comprehensive application of goods.
4. Experience the process and method of mathematical inquiry by practicing basic discount questions.
5. Have a sense of cooperation and participation, and actively share and communicate.
Teaching objectives:
1, so that students can understand the meaning of "discount" in combination with the meaning of percentage, understand the relationship between discount and score and percentage, and deepen their understanding of the relationship between percentage and quantity.
2. Understand the application of "discount" in daily life, learn to contact the knowledge of "what is the percentage of a number" and learn to solve the problem of "what is the percentage of a number". With the help of equations or arithmetic, it can be applied to solve some simple practical problems in life.
3. Cultivate students' ability to use what they have learned to solve practical problems. Experience the mathematical knowledge corresponding to the quantity rate!
4. Further let students feel the close relationship between mathematics and people's lives and realize the value of mathematics.
Teaching emphases and difficulties Teaching emphases:
Teaching focus
On the basis of understanding the meaning of "discount", we know that the quantitative relationship of discount application questions is the same as "how much is a fraction of a number" and can be calculated correctly.
Teaching difficulties
We can apply the knowledge of "discount" to solve related problems in life, cultivate students' close connection with daily life and realize the application value of mathematics.
Teaching process 1. Award-winning question and answer and exciting introduction
1. The students have all been to the shopping center. Do you know what sales promotion methods merchants often use to attract customers? Price reduction, discount, buy a few and get a few free, home delivery, etc. ) Show pictures.
Today we are going to learn a math problem closely related to our lives-discount.
Uncovering the topic, the blackboard title "discount" discounts abound in life, let's take a look.
Second, explore the meaning of discount (please see the projection)
① 20% discount on coats, original price: 1000 yuan, current price: 800 yuan.
② 10% discount on scarves, original price: 100 yuan, current price: 90 yuan.
③ 15% discount on pencil case, original price: 10 yuan, current price: 8.5 yuan.
④ 40% discount on rubber, original price: 1 yuan, current price: 0.6 yuan.
Basketball is 50% off, original price: 70 yuan, current price: 35 yuan.
Monitoring:.
(1) What do these discounts mean?
(2) Please think about it and communicate with each other in the group.
Teacher's blackboard writing:
20% discount: the current price is 20% off the original price.
10% off: The current price is 20% off the original price.
15% off: The current price is 20% off the original price.
60% off: The current price is 20% off the original price.
Discount: The current price is 80% of the original price.
Subsequent: 1. Does the discount represent the quantitative relationship between who and who?
2. Who can tell me what a discount is?
Teacher: Yes, in order to promote the sales of goods, discounts are commonly used by businesses. Now we apply the knowledge of discount to solve the discount in life. Please continue to look at the screen.
Three applications of solving problems
1, new knowledge
(1) Display: Example 1( 1) Dad bought a bicycle for Xiaoyu at the original price of 180 yuan, and now the store sells it at a 15% discount. How much did you spend on this car?
Teacher: How should this problem be solved? Do you have any ideas?
Monitoring: 1. Understand the meaning of 15% discount (what does 15% discount mean? )
The student said that the current price is 85% of the original price.
3. Teachers' use of students' experience has turned into a percentage application problem.
4, with students to analyze ideas
5. Students draw a series of solutions independently.
6. Play the revised thinking mechanically.
After the students finished speaking, teacher: The teacher wants to ask, what is the key to this question? (Find the quantity of unit 1) and turn it into a percentage application problem.
Teacher: The students solved the problem through independent thinking. Now there is a more difficult problem for students to solve. Do you have confidence?
(5) Show: Example 1(2) Dad bought a walkman at the original price of 160 yuan, but now he only spent 10% off. How much cheaper than the original price? Teacher: Please think independently after reading the question: What is the key to solve this problem? Please raise your hand if you think about it.
Teacher: Please draw the formula independently.
All revisions: Students actually vote for revisions, and there is no other way.
Idea 1: Find the current price first, and then subtract the current price from the original price.
160- 16090% (yuan)
Solution 2: Ask for a cheap discount first, and then multiply the original price by the cheap discount.
160× (1-90%) =160× 0.1=16 (yuan)
After the students finish, please talk to each other at the same table.
In fact, discounts are everywhere in our lives. Let's walk into life together and challenge ourselves.
2. Consolidate new knowledge
Think first, then fill in the blanks and tell me what you think! (On this basis, the teacher completed three equations of quantitative relations. )
(1) How much is the discount?
Gift conditions: 20% discount on sales.
How to calculate its current price? Why?
4. How do I know the original price of this pair of trousers? Want to know how much cheaper it is? Why? (30% off sales)
Return to three pictures and guide the students to say the relationship between the three quantities.
The teacher concluded: When we go shopping again in the future, we can use what we have learned to solve it. We strive to be an understanding and rational consumer. Teacher, one more thing. I want you to help me think about it. Look at the screen.
Verb (abbreviation of verb) expansion exercise
When I was shopping, I passed a fashion shop, and the door was marked "Half price for the whole audience". I remember the last time I saw a coat here, the original price was 600 yuan, at that time it was 60% off. It must be much cheaper at half price this time. I decided to go in and have a look. As soon as I read the label, the boss changed the original price to 1000 yuan. Has the price of this coat gone up or down?
Teacher: To sum up, when we buy things in the future, we should first consider whether we need them. Don't buy at the sight of a low discount. The most important thing is to see what the current price is. Do you agree?
Ok, children, have you learned anything from this lesson? Do you want to say something about shopping to your classmates?
Simple comprehensive use (depending on the time) can also be simple for students to experience.
1, 20% discount in shopping mall, original price of 900 yuan coat, how much can I buy at the current price?
2. There is a 20% discount on the promotion activities in the shopping center. What is the original price of the mobile phone at the current price 1000 yuan?
3. Shopping malls offer a 60% discount in promotional activities. How much is 800 yuan's coat cheaper now?
4, mall promotion 6, cheaper than 200 yuan. What is the original price of this product? What's the current price?
5. The original price of a commodity is 1500 yuan, and now it is cheaper than 300 yuan. How much is the discount on this product?