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Instructional Design of Axisymmetric Graphics
Instructional Design of Axisymmetric Graphics

The teaching ecology presented to people by open classes is not determined by the will of a certain officer, and must be generally accepted or even imitated. The concept of "good class" is by no means determined by the specific personnel background. The following is my teaching design of axisymmetric graphics, I hope you can read it carefully!

1 the teaching design idea of "axisymmetric graphics";

1, try to reflect the connection between mathematics and life. This design provides a wealth of patterns, involving architecture, animals, plants, cars, architecture, mathematical graphics and other aspects, so that students can feel that mathematics is around us. At the same time, students learn and apply new knowledge in the process of understanding these models, and stimulate their interest in learning mathematics.

2. Committed to the change of learning style. Because the knowledge students of this course have certain life experience and cognitive foundation, this course can and should consider the methods of making students actively learn, discuss, operate and design patterns, which has been fully reflected in this design.

3. Handle the relationship between concept teaching and ability training. This design first allows students to observe patterns, and then puts forward related concepts on the basis of students' perceptual knowledge, and then allows students to apply the concepts to practical problem situations. This design process is helpful for students to truly understand mathematical concepts and improve their learning ability.

Teaching objectives

1, initially perceive the axisymmetric figure and understand its meaning.

2. It can accurately judge which are axisymmetric figures and find out the symmetry axis of axisymmetric figures.

3. Cultivate students' abstract thinking and spatial imagination through observation, thinking and hands-on operation.

4. Guide students to appreciate the beauty of nature and the magic of symmetrical world, and stimulate students' aesthetic interest in mathematics.

Teaching focus

1, the concepts of axisymmetric figure and axis of symmetry.

2. The drawing method of the symmetry axis of the axisymmetric figure.

Teaching difficulties

1. Determine the position and number of symmetry axes of symmetrical graphs.

2. Draw the other half of the axisymmetric figure according to the axis of symmetry.

Teaching preparation

Teacher: multimedia courseware, a rectangle, a square and a circle, three axisymmetric figures, scissors, colored paper, long ruler, transparent glue, grid diagram, magnetic group and blackboard writing materials (axisymmetric figures, completely coincident axis of symmetry).

Prepare for students: a rectangle, a square, a circle, colored paper, scissors, ruler, textbooks and workbooks.

Student: Pen.

teaching process

First, explore new knowledge.

(1) Understand axisymmetric graphics.

1, observe the graph and understand the characteristics of the axisymmetric graph.

Teacher: Do you like looking at pictures, children? Let the children enjoy some pictures first. This is ...

Health: Ducklings, Facebook, Leaves, Butterflies.

Teacher: Is it beautiful? Small eyes, look carefully. What do you find around each of them? Tell your deskmate what you found.

2. Communicate at the same table.

3. feedback. Who wants to tell you what you found?

4. Guess. Guess what will happen if each figure is folded in half?

(The big screen demonstrates the animation process in which two sides of four graphics overlap. )

Summary: Like this, after a figure is folded in half, the two sides can completely overlap (blackboard writing: completely overlap), so we call it an axisymmetric figure.

5. Title on the blackboard: Axisymmetry

6, judgment (check whether students can use new knowledge to accurately judge axisymmetric graphics. )

Teacher: Teacher, here are some pictures. Look at them, students. Are they axisymmetric figures?

After the students judge, tell the reason, and then demonstrate the effect of folding in half through animation and judge the symbols. )

7. Talk about axisymmetric graphics in life.

Teacher: Students, is the axisymmetric figure beautiful? What else have you seen in your life that is also symmetrical?

This design not only enlivens the classroom atmosphere, but also checks students' mastery of new knowledge, stimulates students' interest in learning, and makes students feel that mathematics is around them.

Summary: The teacher found that all children have a pair of observing eyes, which is great!

(2) Know the axis of symmetry.

1, guess the axisymmetric figure

Teacher: The teacher cut some axisymmetric figures. Do you want to see them? I'll only show you half! Guess what this is? How did you guess it was a plane?

Show three axisymmetric pictures of plane, fish and window grilles. )

2. Teachers demonstrate cutting axisymmetric graphics.

Teacher: Does the axisymmetric figure cut by the teacher look good? Do you want to know how the teacher cut it In fact, cutting axisymmetric graphics is very simple! As long as you fold the paper in half and cut it at will, you can cut out an axisymmetric figure. What is this? (clothes)