The contents of this textbook include: position, fractional multiplication, fractional division, circle, percentage, statistics, mathematical wide angle and mathematical practice activities. Fraction multiplication and division, circle and percentage are the key teaching contents of this textbook. In number and algebra, the textbook arranges three units: fractional multiplication, fractional division and percentage. The teaching of fractional multiplication and division is to cultivate students' ability to calculate four fractions and solve practical problems about fractions on the basis of learning integer and decimal calculation. Being able to solve simple practical problems about percentage is the basic mathematical ability that primary school students should have. In terms of space and graphics, the textbook arranges two units: position and circle. Through rich practical mathematical activities, students can experience a preliminary mathematical process, understand and learn to use number pairs to represent positions; A preliminary understanding of the basic methods of learning curve graphics will promote the further development of students' concept of space. Statistically, the textbook is a fan-shaped statistical chart. Further understand the role of statistics in life and problem solving, and develop the concept of statistics. In solving mathematical problems, we should understand the diversity of problem-solving strategies and the effectiveness of using hypothetical methods to solve problems, realize the superiority of www.jsfw8.com's algebraic method to solve problems, feel the charm of mathematics, and develop students' problem-solving ability. The textbook arranges two mathematical comprehensive application practice activities to experience the fun of mathematical exploration and practical application, feel the fun of mathematics, and cultivate students' mathematical application consciousness and practical ability.
Second, the teaching objectives, requirements and tasks of this course this semester
(1) Knowledge and skills:
1. Understand the significance of fractional multiplication and division, master the calculation method of fractional multiplication and division, skillfully calculate simple fractional multiplication and division, and perform simple fractional elementary arithmetic.
2. Understand the meaning of reciprocal and master the method of finding reciprocal.
3. Understanding the meaning and nature of ratio, seeking ratio and transforming ratio can solve simple practical problems about ratio.
4. Master the characteristics of the circle and draw the circle with compasses; Exploring and mastering the formula of the circumference and area of a circle can correctly calculate the circumference and area of a circle.
5. Know that the circle is an axisymmetric figure, and further understand the axisymmetric figure; Translation, axial symmetry and rotation can be used to design simple patterns.
6. Be able to express the position with several pairs on the grid paper, and get a preliminary understanding of the idea of coordinates.
7. Understanding the meaning of percentage and calculating skillfully can solve simple practical problems about percentage.
8. Understand the fan chart, and choose the appropriate chart to represent the data as needed.
(2) Process and method
1. Experience the process of finding, putting forward and solving problems in real life, understand the role of mathematics in daily life, and initially form the ability to comprehensively use mathematical knowledge to solve problems.
2. Experience the diversity of problem-solving strategies and the effectiveness of using hypothetical mathematical thinking methods to solve problems, and feel the charm of mathematics. Form the consciousness of discovering mathematics in life, and initially form the ability of observation, analysis and reasoning.
Emotions, attitudes and values
1. Experience the fun of learning mathematics, improve the interest in learning mathematics, and build confidence in learning mathematics well.
2. Develop the good habit of working hard and writing neatly.
Key points:
Fractional multiplication and division, circle, percentage, etc.
Difficulties:
1. On the basis of learning integer and decimal calculation, cultivate students' ability to calculate four fractions and solve practical problems about fractions. .
2. Understanding the meaning of percentage and mastering the calculation method of percentage will solve simple practical problems about percentage.
3. Through the exploration and study of the characteristics and related knowledge of curve figure-circle, the basic method of learning curve figure is preliminarily understood, which promotes the further development of students' spatial concept.
Third, teaching measures:
1, create a pleasant teaching situation and stimulate students' interest in learning.
2. Advocate the diversity of learning methods and pay attention to students' personal experience.
3. The forms of classroom training are diversified, focusing on multiple solutions to one problem and solving problems from different angles.
4. Strengthen the teaching of basic knowledge, so that students can master these basic knowledge effectively.
5. Students can preview the textbook, put forward the key points of knowledge, how they understand it and what problems they have. I can find a solution to the problem by consulting the information.
6. As the instructor of classroom teaching, teachers pay attention to students' autonomous learning, advocate inquiry-based and experiential learning methods, and cultivate students' hands-on operation ability and divergent thinking ability.
7. Use group discussion to let students participate in the discussion, express their opinions, inspire each other, find out their own methods to solve problems, and experience the joy of learning mathematics.
8. Cultivate students' interest and self-confidence in learning mathematics, so as to improve each student's ability.
9, reflect the main role of students, let students love learning, teach students to master learning methods.
10, combining teaching with practical activities, teaching students in accordance with their aptitude. The design of teaching content in each class is based on teaching objectives and students, creating teaching problem situations, which is a teaching process that conforms to students' cognitive laws.
Fourth, the teaching progress.
Weekly lecture content class hours
Multiplication of a Position and Fraction 5
Multiply two fractions to solve problem 5.
Problem solving comprehension and countdown (Mid-Autumn Festival holiday 1 day) 4
Organize and review, score 5
National day holiday
Six scores. Division, problem solving 5
The Application of Seven Ratio and Five Ratio
Review and get to know the circle 5
The perimeter of nine circles and the area of the circle are 5.
Ten review, determine the starting line 5
Eleventh midterm review exam 5
The meaning and writing of 12%, the reciprocity of percentage and fractional decimal 5
Thirteen use percentage to solve problem 5
14% solving problem 5
Fifteen percent problem solving, organization and review 5
Sixteen sector statistics chart, reasonable deposit 5
Seventeen mathematics wide angle, total review 5
General comment 5
Nineteenth final review 5
Review at the end of the twentieth century
The work plan of the sixth grade math teacher (2) Analysis of the learning object: The students in this class have a good grasp of the knowledge that should be mastered in the first volume, especially the calculation of scores, but in practical applications, such as application problems, some students have difficulty in understanding and solving problems. Most students are active in learning, can consciously review after class and preview before class, and speak actively in class. However, some students are more dependent, have poor thinking and analytical skills, are more likely to be distracted in class, and their academic performance is not ideal. At the same time, most students in this class have good study habits, listen carefully in class and finish their homework on time. Only a few students with learning difficulties are lazy in their studies, so it is easier to finish their homework.
The whole of teaching material analysis:
1, teaching content
This textbook includes the following contents: negative number, cylinder and cone, proportion, statistics, wide angle of mathematics, arrangement and review. Cylinder and cone, proportion, arrangement and review are the key teaching contents of this textbook.
2. Teaching objectives
(1) If you understand the meaning of negative numbers, you will use negative numbers to represent some problems in daily life.
(2) Understand the meaning and basic nature of proportion, know solution ratio, understand the meaning of direct ratio and inverse ratio, be able to judge whether two quantities are directly proportional or inversely proportional, and use the knowledge of proportion to solve relatively simple practical problems; It can draw pictures on grid paper with coordinate system according to the given proportional data, and can estimate the value of one quantity according to the value of another.
(3) can read the scale, can use the form of grid paper to enlarge or reduce simple graphics according to a certain proportion.
(4) Knowing the characteristics of cylinders and cones, the surface areas and volumes of cylinders and cones can be calculated.
(5) Being able to accurately extract statistical information from statistical charts, correctly interpret statistical results, and make correct judgments or simple predictions; Preliminary empirical data may be misleading.
(6) Experience the process of finding, putting forward and solving problems in real life, understand the role of mathematics in daily life, and initially form the ability to comprehensively use mathematical knowledge to solve problems.
(7) After experiencing the process of exploring the "pigeon hole principle" and having a preliminary understanding of the "pigeon hole principle", you will use the "pigeon hole principle" to solve simple practical problems and develop the ability of analysis and reasoning.
(8) Through systematic arrangement and review, deepen the understanding and mastery of the mathematical knowledge learned in primary schools, form more reasonable and flexible computing ability, develop thinking ability and spatial concept, and improve the ability of comprehensively applying the learned mathematical knowledge to solve problems.
(9) Experience the fun of learning mathematics, improve the interest in learning mathematics, and build confidence in learning mathematics well.
(10) Develop a good habit of working hard and writing neatly.
3. Teaching focus
(1) Understand negative numbers in familiar life situations, read and write positive and negative numbers correctly, and know that 0 is neither positive nor negative.
(2) Understand cylinders and cones and master their basic characteristics. Know the bottom, sides and height of a cylinder. Know the bottom and height of the cone.
(3) Explore and master the calculation method of lateral area and surface area of cylinder and the calculation formula of volume of cylinder and cone, and use the formula to calculate the volume to solve simple practical problems.
(4) Understanding the meaning and basic nature of proportion is helpful to solution ratio. Understanding the meaning of positive proportion and inverse proportion can help us find examples of positive proportion and inverse proportion in our life, and we can use the knowledge of proportion to solve simple practical problems.
(5) Knowing the proportional image, we can draw an image on the grid paper with coordinate system according to the given proportional data, and we can calculate or estimate the value of the other quantity in the image according to one of them.
(6) Knowing the scale, we can find the scale of the plan and the distance or actual distance on the map according to the scale.
(7) I can comprehensively use the statistical knowledge I have learned, accurately extract statistical information from statistical charts, and correctly interpret statistical results.
Teaching methods:
(1) Make use of knowledge transfer and adopt comparative teaching methods to make students understand the significance of mastering proportion, scale and positive and negative proportion; Solution ratio's application problem, through the analysis of the common quantitative relations that have been learned, correctly find out two related quantities, judge what kind of proportional relationship it is, and then list the equation solutions.
(2) Make full use of audio-visual media, reveal laws through demonstrations, students' experiments and operations, guide students to explore various methods of deducing calculation formulas through independent learning and cooperative communication, and cultivate students' ability to solve problems.
(3) Do a good job in summarizing and sorting out the relevant knowledge of primary school mathematics, do a good job in intensive teaching and practice, and let students realize their true self-construction.
Measures to improve teaching quality;
(1) Implement the spirit of mathematics curriculum standards, attach importance to cultivating students' interest in mathematics learning, mathematics awareness and practical ability, and guide students' learning methods. Carefully study the teaching materials, make clear the teaching requirements and improve the teaching quality in an all-round way.
(2) Proportional units should first teach the quantity in positive proportion, then teach the quantity in reverse proportion, then compare the two, and finally teach the application problems of positive and negative proportion, so that students can better understand the series concepts of positive and negative proportion, judge correctly and avoid confusion; For practical problems, arranging different methods to solve the same problem can not only deepen students' understanding of proportion, but also improve students' ability to use all kinds of knowledge flexibly.
(3) The teaching of cylinders and cones begins with intuition. By observing common objects, students can know the shape of the cylinder, abstract the geometric figure of the cylinder from the object, and then introduce the names of each part of the cylinder. Lateral area, surface area, volume of cylinder and volume of cone are taught through courseware demonstration and students' experiments.
(4) When teaching statistical charts, we should first think about how to clearly see the percentage relationship between related quantities in a statistical table. Then let the students know that when expressing the relationship between related quantities, statistical charts are more vivid and specific than statistical tables; Then explain the characteristics and functions of three different types of statistical charts in turn. Finally, in examples and exercises, let students answer questions according to charts, let students learn to read statistical charts, analyze problems according to the data in charts, cultivate students' ability to solve practical problems, and cultivate students' habit of analyzing and thinking problems with statistical thoughts.
(5) Pay attention to the review of basic knowledge and the connection between knowledge. At the same time, pay attention to inspire and guide students to actively sort out and review what they have learned and form a knowledge network. Teachers strengthen feedback, pay attention to the whole, teach students in accordance with their aptitude, and make up for students' knowledge gaps in time.
Thematic implementation measures:
(1) According to the actual situation of students in the class and the characteristics of teaching materials, design layered exercises.
(2) Combining sorting and reviewing, designing systematic exercises to help students better master the mathematics knowledge in primary school.
(3) Practice homework in layers as far as possible.