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Teaching plan of "discovering laws" in the second volume of senior one mathematics of People's Education Press.
Teaching objectives of "discovering laws" (1)

Knowledge and ability: through the orderly arrangement of objects, students can initially understand the simple arrangement law and point out the next object according to the law;

Process and method: through the activities of coloring and setting learning tools, cultivate students' practical ability and stimulate students' innovative consciousness;

Emotional attitude and values: make students realize the value of mathematics in teaching activities, feel the beauty of laws and enhance their interest in learning mathematics.

Emphasis and difficulty in teaching

Focus: discover the arrangement law of things (graphics) and master the method of discovering the law.

Difficulty: Guide students to find the law from two aspects: color and shape, and express the law in their own language.

teaching tool

courseware

teaching process

First, create a scene to stimulate interest in the introduction.

1, class, it's June Day. The teacher heard that the school was going to have a get-together, and every classroom was dressed up. Look at these children dancing in the classroom where they are dressed up. Play the courseware party animation.

Look carefully. What do you see? There are colorful flags, lanterns and flowers. There are many children dancing. Please have a look at these colorful flags, flowers and lanterns again. No, there is a sequence. Yes, they are all arranged regularly and in a certain order. Do you want to know their rules? (think! ) then let's learn to find the law today. Guide students to read (blackboard theme)

Second, guide exploration and understand the law.

1, courseware shows colorful national flag map.

Let's look for the rule of the arrangement of colored flags first and guess what color this flag will be.

Everyone guessed the red flag. See if it's right. What a good guess! what do you think? Because the small flags have been placed in yellow and red order, the red flag is behind the yellow flag. The rule of small flags is to arrange them repeatedly in groups of 1 yellow flag and 1 red flag. Make students understand that 1 yellow flag and 1 red flag are a group, and such groups appear repeatedly. )

2. Courseware shows the arrangement of small flowers.

There are some small flowers in the classroom. What are their arrangements? What did you find? Is it regular? We found that the florets were arranged according to the rules of 1 safflower and 1 purple flower.

3. The courseware shows lanterns and children's queues.

We have found the rules for colorful flags and small flowers. What are the rules for placing lanterns and queuing children? Yes! They are all arranged repeatedly. Like colorful flags, small flowers, lanterns and children, as a set of repeated laws, it is called the repeated arrangement law. Lead students to read.

That's great! Then let's see what color should be put behind each one. Show me the animation of the party just now.

Through observation, it is found that the lanterns have been placed in the order of red, blue and blue, so the next lantern is red. Children are always in the order of little girls and little boys, so the next child is a little boy.

The students did really well and the teacher was really happy for you.

Then use your bright eyes to see who is next. Look at the figure first, find out what figure is next, and then discuss what color? Students find it really quickly, and they can find its rules immediately. Then everyone will show your graphics together and cooperate in groups. Show me the requirements.

Teachers patrol, check the rules of each group, and give praise and praise in time. It's a coincidence that your little hand can set so many rules. Do you want to see how the teacher does it? Quickly arrange your graphics and see who can see the teacher's work first.

5. Show the arrangement of a set of bowls. Let the students observe its arrangement law first. Let the students say it themselves, or start with the arrangement of numbers.

The lovely hen came with her chicks. Can you help them find the rules and fill in the numbers? Show courseware.

Third, the use of knowledge.

1, put it in.

From the graphic observation, we can also observe the number of sticks.

2. Then draw a picture and fill it in.

3, drawing: take out the prepared homework paper, paint your favorite color, form a certain law, and give play to your creativity!

Teachers patrol, show students' works and give praise!

4. Guess what's behind? Show pictures

(1) Think about the rules and fill in the blanks.

(2) What color should I paint?

Induction and summary: according to the repeated characteristics of color and shape, find the law of graphic change.

Fourth, consolidate practice and strengthen cognition.

Show the pictures, let the students find the rules by themselves, and tell the rules in their own words.

Do the action and find the pattern: first find out how the child does it.

Then ask the students to create their own rules? I will make the rules.

Ok, please ask a classmate to show us the rules he created, and please signal to lead us to do them together. Ok, class, now let's count to five, let's see the laws they created!

Great, everyone can use their brains very much and create many rules.

Verb (abbreviation of verb) summary and sublimation

Do you like this course? What did you get? Let's talk together!

Look at the blackboard and review today's content.

Actually, there are many rules in life. See who is the best at finding out. Have you noticed the rules in life? Show some pictures to the students.

The students in this class speak very well. It seems that everyone has a pair of eyes that are good at discovering the beauty of law. When you get home, tell your parents and your good friends about the life rules you found, ok? See who is best at discovering beauty and creating beauty. In this class, our classmates have created so many rules by using what they have learned. I hope that when you grow up, you will become real big designers and make our motherland more beautiful and prosperous! This is all we have. Goodbye, class!

Write on the blackboard.

Law of repeated arrangement: 1 yellow flag 1 red flag is a set of repeated arrangements.

1 red flowers 1 purple flowers are repeatedly arranged as a group.

Lanterns are red, blue and blue.

Children, women and men are arranged repeatedly as a group.

"Discovering Laws" Teaching Plan (2) Teaching Objectives

1. Enable students to discover simple arrangement rules in things, understand the meaning of the rules and describe and express them through observation, experiment, guessing and reasoning.

2. Cultivate students' abilities of preliminary observation, generalization, reasoning and logical thinking, and improve their awareness of cooperation and communication.

3. Cultivate students' interest in exploring mathematical problems, feel the beauty of mathematical laws, and feel that there is mathematics everywhere in life.

Emphasis and difficulty in teaching

Teaching emphasis: understand the meaning of law and master the basic methods of discovering law.

Difficulties in teaching: being able to express the law of discovery and use it to solve some simple problems.

teaching tool

ppt

teaching process

First, create a situation to understand the law

(1) Brief introduction to life

Teacher: A student? June 1st? Children's Day is coming, and our class will hold a get-together. How are you going to decorate your classroom?

1. student exchange report

2. The teacher's idea is similar to everyone else's (for example, the first half of 1). Do you think it looks good?

Please observe carefully: see what features the teacher's design has.

4. Guide the students to say that colorful flags, lanterns and flowers are arranged in a certain order. It should be pointed out that this arrangement is called regular arrangement.

5. The teacher explained: Generally speaking, a group of objects are arranged repeatedly in turn (at least three times), which we can call regular arrangement.

(2) Point out the theme

Teacher: Today, we will learn to find out the rules and write on the blackboard.

Second, guide inquiry and discover laws.

(1) Looking for the arrangement of colorful flags.

1. Find out: Let the students observe by themselves and find out the arrangement rules of colorful flags.

2. Say:

(1) Ask the students to say the arrangement rules of colored flags. The teacher should pay attention to guiding the students to express them in complete language: colored flags are arranged according to the rules of a yellow flag and a red flag.

(2) Teachers ask questions:

(1) How many sides of each row are repeated with colored flags? Guide the students to say: there are repetitions on both sides.

Then can we regard these two sides as a group, and all these colorful flags are arranged repeatedly in this way?

3. Circle: Let the students circle the repeated parts of colorful flags.

(2) Look for the arrangement rules of small flowers, lanterns and children.

1. Circle: Ask the students to circle a group of repeated parts in the arrangement of flowers, lanterns and children.

2. Say:

(1) Let the students talk about the arrangement rules of small flowers, lanterns and children respectively. Teachers should pay attention to the accuracy and completeness of students' language expression.

(2) Say separately: What are the small flowers, lanterns and children as a group? What is the first one in a group? Special emphasis: lanterns are in groups of three.

Summary: Like colorful flags, small flowers, lanterns and children, as a group of repeated laws, they are called repeated arrangement laws. (blackboard writing: repeated arrangement)

Feedback exercise

1, brain exercise: (courseware demonstration)

(1), saying: Three children are missing from the picture. Do you know how many boys and girls there are? (Students discuss and point out the answers. )

(2) Circle the repeated parts. (indicate the answer)

(3) Tell me about the rules around you.

(4) Appreciate the regular beauty in life.

2, hands-on practice:

(1), the first level: draw a picture and circle the repeated parts. Take out 1 homework paper and finish it independently. (Show communication when finished)

(2), the second level: a circle, completed on the No.2 homework paper. (display communication)

(3), the third level: draw, let students draw with their favorite rules, and complete P85? Do it. .

Third, the combination of numbers and shapes, cognitive law

(1) Present the question (1) in Example 2, and let the students observe first:

1. Say:

(1) What rules have you found in the arrangement of bowls?

(2) Can you circle one of them?

(3) What is the difference between the arrangement rules of bowls and those learned before? Guide the students to find that the color has not changed, but the number has changed. Moreover, the law of quantitative change can also be expressed by numbers.

2. Give it a try:

(1) Can you work out the changing law of the number of bowls? Ask the students to say the numbers under the corresponding bowls.

(2) The complete presentation of the question (1) in Example 2:

3. Discussion: Is the arrangement of bowls and numbers the same?

(1) Through the guidance of teachers, let students understand that numbers represent the number of corresponding figures, so the arrangement of figures has corresponding changing rules.

(2) At the same time, let students feel that they can express the same rules, but in different forms.

(2) Ask the question (2) of Example 2:

1. Let the students fill in the blanks in the book.

2. Say: What are the arrangement rules of figures and numbers?

3. Complete P86? Do it. Questions 1 and 2.

(A) math games

Do the action and guess the rules:

The courseware presents each action step by step, so that students can follow it. After doing three groups, let the students guess what the next action is. And tell the arrangement of these actions.

(2) Basic exercises

Exercise 20, question 2.

(3) Improved practices

Exercise 20 1 problem.

Fourth, talk about harvest:

Say, what knowledge have you learned through this lesson? (Students communicate and indicate the answers. )

Class summary: In fact, there are laws everywhere in life that bring us beauty. As long as we carefully observe and be a conscientious person, you will certainly find more!