first part
Textbook analysis
The teaching content of this semester is divided into five chapters, and the relationship between knowledge and teaching objectives, the key points and difficulties are analyzed as follows:
Chapter 16 Scores
The main contents of this chapter include: the concept of fraction, the basic properties of fraction, the reduction and general fraction of fraction, the addition, subtraction, multiplication and division and Divison of fraction, the concept and operational properties of integer exponential power, the concept of fractional equation and the solution of fractional equation that can be transformed into linear equation.
Chapter 17 Functions and Their Images
Function is an important model to study the changing law of the real world. After learning the function once, the students in this unit learn the inverse proportional function further. In this chapter, students experience: the abstract generalization process of the concept of inverse proportional function, the idea of establishing mathematical model, and further develop students' abstract thinking ability; Experiencing the exploration process of inverse proportional function images and their properties and cultivating their communicative competence are one of the focuses of this chapter. Experience the second key point of this chapter: using inverse proportional function and image to solve practical problems and develop students' mathematical application ability; Experience the identification and application process of functional image information, and develop students' thinking in images; It can determine the expression of inverse proportional function according to the given information, and can make inverse proportional function images and use them to solve simple practical problems. The difficulty of this chapter lies in cultivating students' abstract thinking and improving their consciousness and ability of combining numbers with shapes.
Chapter 18 Determination of Parallelogram The main content of this chapter is to learn the properties and determination methods of parallelogram.
Chapter 19: Rectangular, rhombic and square. Through the process of inverse proposition conjecture, operation verification and logical reasoning proof, students can understand and master several graphic judgment methods, further experience the integration of reasonable reasoning and logical reasoning, and improve their mathematical thinking ability.
Chapter 20 Data collation and preliminary processing
The main content of this chapter has three sections: arithmetic average and weighted average; Selection of average, median and mode; Range, variance and standard deviation. The whole chapter pays attention to the real information as much as possible.
Time allocation
Chapter 16 Score 1 1
Chapter 17 Functions and Their Images 16
Chapter 18 Parallelogram 4
Chapter 19 Rectangular, Diamond and Square 12
Chapter 20 Data collation and preliminary processing 10
Chapter 16 Scores
16. 1. 1 from score to score
the second part
learning target
1, master the concept of fraction, and express the quantitative relationship with fraction.
2. Understand and skillfully find out the conditions that the score is meaningful and the value of the score is zero.
learning process
First, the blackboard writing topic
Narrator 1: Students, today we are going to learn the topic of fractional blackboard writing.
Second, indicate the goal.
Transition: What is the goal to be achieved?
DualView
learning target
1, master the concept of fraction, and express the quantitative relationship with fraction.
2. Understand and skillfully find out the conditions that the score is meaningful and the value of the score is zero.
Third, self-study guidance.
Interlanguage: How to achieve learning goals in the classroom?
Second, show self-study guidance.
Self-study guidance
Read the textbook P2-P4 carefully.
(1) Understand the concept of score with the help of the thinking content on the second page of the book.
(2) can distinguish between scores and scores.
③ Understand the condition that the score is meaningful and the value of the score is zero through examples.
After 8 minutes, compare and see who can correctly divide the concepts and give the test questions.
Fourth, learn first.
Students read books, teachers patrol, and teachers urge each student to study hard and nervously.
Twice detection
1, transition: students, please raise your hand after reading it? Please raise your hand if you understand? Ok, let's compare and see who uses it well.
Step 2 test questions
P4 Exercise 1, 2, 3
Post-education of verb (abbreviation of verb)
amend
Please take a closer look at the performance of these students. Please raise your hand if you find mistakes and can correct them.
Discussion and summary
1 comment separately.
A2, right? Why? Guide the students to say the definition of fraction: generally speaking, the formal formula is called B.
Fractions, where a and b are algebraic expressions and b contains letters. Definition of blackboard writing score
3 Right? Why? Guide the students to say the conditions under which the score holds: when the denominator of the score is zero,
Scores are meaningless; When the denominator of a fraction is not equal to zero, the fraction is meaningful. Blackboard writing condition
the third part
Sixth, in-class testing.
Narrator 1: Can students do correct homework with new knowledge? Ok, pay attention to the problem-solving format.
1, column algebraic expressions represent the following quantitative relations, and indicate which are algebraic expressions? What is a score?
1 A makes x parts per hour, so it takes him 8 hours to make 1 part and 2 hours to make 80 parts.
The ship is traveling at a speed of one kilometer per hour in still water, and the speed of water flow is b kilometers per hour. The downstream speed of the ship is
③ km/h, and the ship's countercurrent speed is ④ km/h. 。
The quotient of 3x and y less than 4 is ⑤.
① ② ③ ④ ⑤
2. What is the value of x? Is the following score meaningful?
3x？ 52x？ 5 1: 2 : 3: 22x？ 23? 2xx？ four
3. What is the value of x and the value of the fraction is 0?
x？ 77xx2？ 1 1: 2: 32: 5x2 1？ 3xx？ x
4. Facing the increasingly serious problem of land desertification, a county decided to fix sand and afforestation by stages. The first phase of the project is planned to fix sand and afforest 2004 hectares in a certain period of time, and the actual monthly sand-fixing afforestation area is 30 hectares more than originally planned. As a result, the original planned task was completed four months ahead of schedule. If the original plan is to fix sand and afforest X hectares per month, it will take several months to complete the first phase of the project, but it will take several months to actually complete the first phase of the project.
2. Show homework
Required questions: Review and consolidate the questions 1, 2, 3 in the textbook P8+06. 1.
Choose to do the problem:
1, exercise 16. 1 question 13
2. When X is what value, the score
Three students practice.
Seven, teaching reflection X? 1x2？ 3x？ The value of 2 is 0?