The following is the teaching plan of "ellipse and its standard equation" in the first section of Chapter 8 of the second volume of senior high school mathematics. Welcome to reading.

I said the topic of the class is full-time textbooks for ordinary high schools (experimental revision. Compulsory), Mathematics Volume II, Conic Curve Chapter 8, Ellipse and its Standard Equation Section 1.

First of all, to summarize:

1, teaching material analysis:

Ellipse and its standard equation are the basis of conic curve, and its learning method has a guiding and leading role in the whole chapter, which directly affects the learning of other conic curves. It is the basis and model of follow-up learning. At the same time, it is also the deepening and consolidation of curve equation.

2. Teaching analysis:

Ellipse and its standard equation are excellent materials to cultivate students' abilities of observation, analysis, discovery, generalization, reasoning and exploration. In this lesson, students' innovative spirit and practical ability in mathematics are cultivated by creating scenarios, hands-on operation, summarizing applications and popularizing applications, so that students can master the laws of coordinate method and the basic processes and methods of mathematical research.

3, student analysis:

Senior two students are at the peak of their physical and mental development. They are active in thinking and have a corresponding knowledge base, so they are willing to explore and dare to explore. But high school students' logical thinking ability is still empirical, and their computing ability is not very strong, so they need training.

Based on the above analysis, what is my teaching method? Question induction-inspiring discussion-exploring results? And then what? Intuitive observation-inductive abstraction-summing up the law? A research-oriented teaching method, focusing on? Lead, think, explore and practice? A combination of.

Guide students to change their learning methods, and adopt the learning methods of stimulating interest, active participation, active experience and independent inquiry to form a teaching atmosphere of teacher-student interaction.

The teaching emphasis I set is: the understanding of ellipse definition and the derivation of standard equation.

The teaching difficulties are: derivation of standard equation.

Second, the target description:

According to the requirements of the mathematics syllabus? Trinity killer. The teaching goal of.

1, knowledge and skills target:

Understand the definition of ellipse, master the standard equation and its derivation.

2. Process and Method Objective: Pay attention to the combination of numbers and shapes, master the general method of studying geometric problems by analytical method, and pay attention to the cultivation of exploration ability.

3. Emotions, attitudes and values:

(1) Inquiry method stimulates students' curiosity and cultivates a strong interest in learning.

(2) Infiltrate the aesthetic education of mathematics, and guide the study with a philosophical point of view.

Third, the process description:

Based on what? This one, four adjustments? The new teaching concept and the above teaching objectives design the teaching process. ? Student-oriented, new teacher-student relationship, new teaching objectives, new teaching methods and new presentation methods? Reflected as follows:

(1) Reorganization and expansion of teaching materials: according to the teaching objectives, choose the teaching content and follow the principles of expansibility, openness and comprehensiveness. Although the definition of ellipse in the textbook is strict, it is not intuitive enough, so an audio-visual file, the orbit diagram of comet Haier's spectrum, is added. Finally, let the students communicate with each other and draw an ellipse and five inquiry questions with the geometry drawing board as the expansion of the textbook.

In the teaching process:

1, new lesson import: with audio and video files? Schematic diagram of spectral orbit of comet Haier? Introduction and presentation have a new opposite sex, which stimulates the interest in learning; Drawing with sketchpad can enhance the awareness of hands-on operation, make the image intuitive, introduce the definition of ellipse, and then learn the standard equation of ellipse.

2. Introduction to the new lesson:

By reading the literature, hands-on operation, and then summarizing the definition of ellipse, students conform to the cognitive law of changing from perceptual to rational, and improve their ability of abstract generalization. Then the standard equation of ellipse is deduced, and the computing ability is cultivated, and then the characteristics of the standard equation are discussed. Teachers, as guides, encourage students to explore boldly, be brave in innovation, actively talk about and participate in experience, cultivate rigorous logical thinking, abstract generalization ability, infiltrate mathematical aesthetics education, master the important mathematical thought of combining numbers with shapes, and finally encourage students to actively explore, dare to explore and change their learning methods.

3. Integrate applications

According to the definition and its standard equation, three groups of nine exercises are designed to guide students to contact, think, discuss, feedback and correct, and enhance their application ability.

4. Continue to explore:

(1) What are the different reasons for observing the oval shape?

(2) Change the length of the rope or change the focus position and then draw an ellipse to find the relationship;

(3) Drawing with a geometric sketchpad to observe the shape change;

(4) How to describe the change of shape?

Guide students to explore their desires and carry out research-based learning.

Four. Evaluation description:

The evaluation of students in this class adheres to the principle of combining formative evaluation with stage evaluation.

(1) Formative evaluation: evaluate the learning effect from the aspects of operation ability, generalization ability, learning interest, communication and cooperation, emotion, etc. For students with problems, teachers point out their advantages and patiently guide them, which is helpful to cultivate them to face setbacks bravely and adhere to the spirit of scientific exploration; When students are talented and innovative, teachers give them full encouragement, thus further stimulating their creative potential and improving their innovative ability.

(2) Stage evaluation: Test students' stage academic performance from two aspects: unit test and mid-term test. The evaluation results are based on the results of each exam and the students' comprehensive performance at ordinary times. At the same time, students' self-evaluation and teachers' comprehensive evaluation of actions should be carried out.

(3) Teacher's self-reflection evaluation: fully reflected in this lesson? This one, four adjustments? New curriculum concept.

Verb (abbreviation of verb) lecture summary:

This course uses computer network technology to show the process of knowledge, so that students are always in the state of problem exploration and research, full of passion and interest. Paying attention to the mastery of mathematical research methods is a beneficial attempt in research-based teaching. It is conducive to changing students' learning style, independent exploration and cultivating students' practical ability and innovative consciousness.

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