As an excellent educator, we must make detailed preparations for teaching design, which is a planned and decision-making activity to achieve teaching goals. The following are five design templates (general version) of the math teaching plan for the first semester of junior high school in 2022, which I carefully arranged, hoping to help everyone.
2022 Junior high school last semester math teaching plan design template 1 1, teaching material analysis
Inverse proportional function is one of the three functions to be studied in junior high school. It is a simple but important function, and real life is full of examples of inverse proportional function. Therefore, the teaching of the concept and significance of inverse proportional function is the foundation.
Second, the analysis of learning situation
Because they have studied functions before, students have a certain understanding of the concept of functions. In addition, we learned the knowledge of transition in the last chapter, which laid a certain foundation for the teaching of this class.
Third, the teaching objectives
Knowledge goal: to understand the meaning of inverse proportional function; The expression of inverse proportional function can be determined according to known conditions.
Problem solving: The inverse proportional function can be abstracted from practical problems and its expression can be determined. Emotional attitude: let students experience the process of abstracting the inverse proportional function model from practical problems and realize that the inverse proportional function comes from reality.
Fourthly, the difficulties in teaching.
Key points: Understand the meaning of inverse proportional function and determine the expression of inverse proportional function.
Difficulties: the establishment of inverse proportional function expression.
Teaching process of verbs (abbreviation of verb)
(1) The total length of the Beijing-Shanghai line 1463km, and the average train speed v (unit: km/h) changes with the change of the total train running time t (unit: h).
(2) A rectangular lawn with an area of 1000m2 should be planted in the residential area, and the lawn length is y (single
Bit: m) varies with the width x (unit: m).
Please write the expression of the above function.
1463 1000(2)y=tx
K shows that a function in the form of y=(k is a constant, k≠0) is called an inverse proportional function, where __( 1)v= is an independent variable and y is a function.
The purpose of this process is to let students abstract the process of inverse proportional function model from practical problems and realize that inverse proportional function comes from reality. Because it is a fraction, when x=0, the fraction is meaningless, so x≠0.
When k=0, y= 0 in y = and the function y is constant, we usually call such a function a constant function. Y is not an inverse proportional function at this time.
Example: The following is the inverse proportional function
( 1)y =(2)xy = 10(3)y = k- 1x(4)y =-
The purpose of this process is to let students know more about the concept of inverse proportional function through analysis and practice. It is known that Y is inversely proportional to X, Y is inversely proportional to x- 1, y+ 1 is inversely proportional to X, and y+ 1 is inversely proportional to x- 1. How to set its analytical formula (functional relationship)?
Assuming that y is inversely proportional to x, the functional relationship between y and x can be set to y=
kx？ 1
K since y+ 1 is inversely proportional to x, the functional relationship between y and x can be set as Y+ 1 = xkkkkKX2X. Assuming that y is inversely proportional to x- 1, the functional relationship between y and x can be set to y=
Since y+ 1 is inversely proportional to x- 1, the functional relationship between y and x can be set as y+ 1=kx? 1 The purpose of this process is to let students know more about the concept of inverse proportional function and pave the way for analyzing the function in the future.
Example: It is known that y is inversely proportional to x2, and y=4 when x=3.
(1) Find the resolution function between y and x.
(2) Find the value of y when x= 1.5.
Analysis: Because Y is inversely proportional to x2, let Y be? K, if you find K, you can get yx2.
The resolution function between x and x .. and then guide students to write. The inverse proportional function can be abstracted from practical problems and its expression can be determined. Finally, students practice and assign homework.
Through this link, we can deepen our understanding of the content of this lesson and achieve the purpose of consolidation.
Evaluation and reflection on intransitive verbs
This lesson is based on students' existing understanding, so that students can understand the concept of inverse proportional function. The focus of this lesson is to understand the meaning of inverse proportional function and determine the expression of inverse proportional function. We should practice consolidation in this respect.
2022 junior high school last semester math teaching plan design template 2
In order to improve students' interest in learning, increase students' participation in learning and narrow the gap. Strive to do a good job in teaching. This semester, the following will write the second volume of mathematics teaching design for Grade Two:
First, the teaching objectives:
Through this study, students should realize that mathematics comes from practice and reacts to practice, and understand the quantitative relationship between numbers in real life. It can design exquisite patterns, improve students' aesthetic taste, cultivate students' realistic and serious learning attitude, stimulate students' interest in learning, cultivate students' love for mathematics and life, and find happiness in democracy, harmony, cooperation, inquiry, order and sharing. As for the process and method, students actively participate in the exploration of knowledge, discover knowledge through experience, and discover the internal relationship between knowledge, so that students can experience and discover obstacles on the road of knowledge, achieve the purpose of profound understanding and mastery of knowledge, and achieve a natural state. Through these activities, students' practical ability, logical reasoning ability, logical thinking ability, independent inquiry ability, problem-solving ability and computing ability can be improved. Make all students have different development in mathematics, as close as possible to the maximum value of their development, cultivate students' good study habits, develop students' non-intellectual factors, and make students subtly accept the influence of dialectical materialism and improve their quality.
Second, teaching material analysis
The teaching content of this semester is divided into five chapters, and the connection of knowledge, the teaching objectives of the textbook, and the analysis of important and difficult points are as follows:
Chapter XVI Fractions The main contents of this chapter include: the concept of fractions, their basic properties, reduction and general fractions, addition, subtraction, multiplication and division and Divison of fractions, the concept and operational properties of exponential powers of integers, the concept of fractional equations and the solution of fractional equations that can be transformed into linear equations of one variable.
Chapter 17 Inverse proportional 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 function 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 Pythagorean Theorem A right triangle is a special triangle, which has many important properties, such as two acute angles are complementary, and the right side of the 30-degree angle is equal to half of the hypotenuse. The Pythagorean theorem studied in this chapter is also a property of right triangle, and it is a very important property. This chapter is divided into two sections. The first section introduces Pythagorean theorem and its application, and the second section introduces the inverse theorem of Pythagorean theorem.
Chapter 19 Quadrilateral Quadrilateral is a kind of figure widely used in people's daily life, especially special quadrangles such as parallelogram, rectangle, diamond, square and trapezoid. Therefore, quadrilateral is not only the basic figure in geometry, but also one of the main objects in the field of space and graphics. This chapter is based on the quadrilateral knowledge that students learned in the last period and the related knowledge of polygons, parallel lines and triangles that they learned in this period. It can also be said that it is to do further systematic sorting and research on the basis of existing knowledge. The knowledge of parallel lines and triangles is also used repeatedly in this chapter. From this perspective, the content of this chapter is also the application and deepening of the front parallel lines and triangles.
Chapter 20 Analysis of Data This chapter mainly studies the statistical significance of statistics such as mean, median, mode, range and variance, and how to use these statistics to analyze the concentration trend and dispersion degree of data. By learning how to estimate the mean and variance of the population with samples, we can further understand the idea of estimating the population with samples.
Third, the main measures to improve the quality of subject education:
1, do a good job in teaching seven. Take teaching seven seriously as the main method to improve grades, study the new curriculum standard seriously, study new textbooks, expand the content of textbooks according to the new curriculum standard, listen carefully, correct homework, guide carefully, make papers carefully, and let students learn to study hard.
Einstein said that interest is the best teacher. Stimulate students' interest, introduce mathematicians and history of mathematics to students, introduce corresponding interesting mathematical problems, and give out extracurricular thinking questions of mathematics to stimulate students' interest.
3. Guide students to actively participate in the construction of knowledge, and create an efficient learning classroom that is democratic, harmonious, equal, independent, exploring, cooperating, communicating, sharing and discovering happiness, so that students can experience the joy of learning and enjoy the fun of learning. Guide students to write a review outline, so that knowledge comes from students' structure.
4. It is one of the fundamental ways to improve students' quality, cultivate students' divergent thinking and keep them in a state of thinking to guide students to actively summarize the law of solving problems, guide students to solve multiple problems, cultivate students to see the essence through phenomena and improve their ability to draw inferences.
5. Instruct teaching with the concept of new curriculum standards, and actively update the inherent educational concept in your mind. Different educational ideas will bring different educational effects.
6. Cultivate students' good study habits. Tao Xingzhi said: Education is to cultivate habits, and habits help students to steadily improve their academic performance, develop students' non-intellectual factors, and make up for their intellectual deficiencies.
7. Guide the establishment of non-governmental organizations of extracurricular interest groups, carry out colorful extracurricular activities, carry out research, extracurricular investigation and operation practice on Olympic Mathematics, and drive class students to learn mathematics and develop their specialties.
8. Implement hierarchical teaching and assign homework. A, B and C are suitable for poor, medium and good students respectively. Ask questions in class, take care of the poor students, and let them wait for development.
9, individual counseling, gifted students improve their ability, lay a solid foundation knowledge, for poor students, some key knowledge, counseling poor students to pass, paving the way for the future development of poor students.
10, standing at the height of the system, let knowledge be built in a system, rise to the height of philosophy, and all directions are interlinked and integrated, so that students can learn easily and remember firmly.
2022 junior high school last semester math teaching plan design template 3
With the development of science and technology, educational resources and educational needs are also growing and changing. Our school has studied the subject of hierarchical teaching of junior high school mathematics, and preparing lessons at different levels is the key to do a good job in hierarchical teaching. Teachers should design the whole process of hierarchical teaching according to the actual situation of students at different levels while thoroughly understanding the teaching materials and outlines. Based on my teaching experience, this paper will make a preliminary discussion on the teaching plan design of hierarchical teaching.
1 formulation of teaching objectives
To formulate specific and feasible teaching goals, we must first distinguish which belong to the same goal and which belong to the hierarchical goal. And put forward specific requirements for students at different levels in three aspects: knowledge and skills, process and method, emotional attitude and values.
2 the formulation of teaching rules
The formulation of teaching rules should be based on the specific conditions of students at all levels, such as speaking less and practicing more for A-level students and paying attention to cultivating their self-learning ability; For B-level students, they should be carefully crafted and pay attention to the handling of examples and exercises in textbooks; On the other hand, C-level students are required to be low-level, speak shallowly and practice more, understand basic concepts and master necessary basic knowledge and skills.
3. Formulation of teaching emphases and difficulties
The formulation of teaching emphases and difficulties should also be based on the specific conditions of students at all levels.
4 Design of teaching process
4. 1 situation-oriented, graded calibration. The teacher introduced the new lesson with examples and questions. We should use all kinds of teaching materials to create suitable learning situations and present content suitable for students at all levels.
4.2 Practice in layers to explore doubts. Students learn by themselves according to their own goals. Teachers should encourage students to actively practice, consciously find problems, discuss problems and solve them.
4.3 Collective feedback, asynchronous disambiguation. "Collective feedback" is a kind of collective teaching activity which mainly aims at the superior B-level students and systematically solves problems with * * *. For those problems that can't be solved in time and don't have the nature of * * * *, teachers have to solve them layer by layer, that is, "asynchronous solution".
5 Design of exercises and assignments
Teachers should follow the principle of "two parts and three layers" when designing exercises or assigning homework. "Two parts" means that the exercise or homework is divided into two parts: mandatory and optional. "Three levels" means that teachers should have three levels when dealing with exercises: the first level is the direct application of knowledge and basic exercises; The topics of Grade 2 and Grade 3 are selected and done, so that students of Grade A have the opportunity to practice, and students of Grade B and C also have room for full development.
Under the hierarchical teaching, teachers can no longer "use a lesson plan to the end", but should carefully design classroom teaching activities, choose appropriate methods and means for students at different levels, understand students' actual needs, care about their progress, reform classroom teaching mode, fully mobilize students' learning initiative, create a good classroom teaching atmosphere, and form a successful incentive mechanism to ensure that every student has progress.
2022 junior high school last semester math teaching plan design template 4
Teaching objectives
1. Understand the meaning of the formula, so that students can use the formula to solve simple practical problems;
2. Initially cultivate students' ability of observation, analysis and generalization;
3. Through the teaching of this course, students can initially understand that formulas come from practice and react to practice.
Teaching suggestion
First, the focus and difficulty of teaching
Key points: Understand and apply the formula through concrete examples.
Difficulties: Find the relationship between quantity and abstract it into concrete formulas from practical problems, and pay attention to the inductive thinking method reflected from it.
Second, analysis of key points and difficulties
People abstract many commonly used and basic quantitative relations from some practical problems, which are often written into formulas for application. For example, the area formulas of trapezoid and circle in this lesson. When applying these formulas, we must first understand the meaning of the letters in the formula and the quantitative relationship between these letters, and then we can use the formula to find the required unknowns from the known numbers. The concrete calculation is to find the value of algebraic expression. Some formulas can be deduced by operation; Some formulas can be summed up mathematically from some data (such as data tables) that reflect the quantitative relationship through experiments. Solving some problems with these abstract general formulas will bring us a lot of convenience in understanding and transforming the world.
Third, knowledge structure.
At the beginning of this section, some commonly used formulas are summarized, and then examples are given to illustrate the direct application of formulas, the derivation of formulas before application, and some practical problems are solved through observation and induction. The whole article runs through the dialectical thought from general to special, and then from special to general.
Four. Suggestions on teaching methods
1. For a given formula that can be directly applied, the teacher creates a situation under the premise of giving specific examples to guide students to clearly understand the meaning of each letter and number in the formula and the corresponding relationship between these numbers. On the basis of concrete examples, students participate in excavating the ideas contained therein, make clear that the application of formulas is universal, and realize the flexible application of formulas.
2. In the teaching process, students should realize that there is no ready-made formula to solve problems, which requires students to try to explore the relationship between quantity and quantity themselves, and derive new formulas on the basis of existing formulas through analysis and concrete operation.
3. When solving practical problems, students should observe which quantities are constant and which quantities are changing, make clear the corresponding change law between quantities, list formulas according to the laws, and then solve problems further according to the formulas. This cognitive process from special to general and then from general to special is helpful to improve students' ability to analyze and solve problems.
2022 junior high school last semester math teaching plan design template 5
First, the teaching objectives
(A) the main points of knowledge teaching
1. Enable students to use formulas to solve simple practical problems.
2. Let students understand the relationship between formula and algebra.
(2) Key points of ability training
1. Ability to solve practical problems with mathematical formulas.
2. The ability to derive new formulas from known formulas.
(C) moral education penetration point
Mathematics comes from production practice, which in turn serves production practice.
(D) the starting point of aesthetic education
Mathematical formulas use concise mathematical forms to clarify the laws of nature, solve practical problems and form colorful mathematical methods, so that students can feel the beauty of simplicity of mathematical formulas.
Second, the guidance of learning methods
1. Mathematical method: guided discovery method, which breaks through the difficulties on the basis of reviewing the formulas learned by asking questions in primary schools.
2. Students' learning methods: observation → analysis → deduction → calculation.
Three. Key points, difficulties, doubts and solutions
1. Emphasis: A new graphic calculation formula is derived from the old formula.
2. Difficulties: The emphasis is the same.
3. Doubt: How to decompose the required graphics into the sum or difference of the already familiar graphics.
Fourth, the class schedule
1 class hour
Verb (abbreviation for verb) Prepare teaching AIDS and learning tools.
Projector, homemade film.
Sixth, the design of teacher-student interaction activities.
The instructor projects and displays the figure that deduces the trapezoidal area formula, the students think, and the teachers and students * * * solve the problem as an example1; Teachers inspire students to find the graphic area, and teachers and students summarize the formula for finding the graphic area.
Seven, teaching steps
(A) the creation of scenarios, review the import
Teacher: As you already know, an important feature of algebra is to use letters to represent numbers. There are many applications of letters to represent numbers, and formulas are one of them. We learned many formulas in primary school. Please recall which formulas we have learned. Teaching methods show that students can participate in classroom teaching from the beginning, and later they are unfamiliar with formula calculation.
After the students said several formulas, the teacher suggested that we learn how to use formulas to solve practical problems on the basis of primary school study in this class.
Blackboard writing: formula
Teacher: What area formulas have you learned in primary school?
Blackboard: S = ah
(Display projection 1). Explain the area formulas of triangle and trapezoid.
The teaching method shows that students can perceive the area of graphics by cutting and filling.