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tangram pattern

The tangram consists of several shapes

Five isosceles right triangles (two small triangles, one medium triangle and two large triangles), one square and one parallelogram .

The jigsaw puzzle is an ancient traditional Chinese intellectual toy. As the name suggests, it is composed of seven boards. These seven boards can be assembled into many shapes (more than 1,600 types), such as triangles, parallelograms, irregular polygons. Players can also make them into various characters, images, animals, bridges, houses, towers, etc. It can also be some Chinese and English letters.

In the 18th century, the jigsaw puzzle spread abroad. Joseph Needham said it was one of the oldest pastimes in the East, and a copy of "New Score of Seven Skills" is still treasured in the library of Cambridge University in the UK.

Extended information Related history The jigsaw puzzle was an invention of the working people in ancient China. Its history can be traced back to at least the first century BC and was basically finalized in the Ming Dynasty. It was widely circulated among the people in the Ming and Qing dynasties. The Qing Dynasty Lu wrote in the first volume of "Lenglu Miscellaneous Knowledge": "Recently, there are seven clever pictures, with five forms, seven numbers, and more than a thousand variations.

The shapes of the objects can be changed at will, and the game tools are enough to relieve boredom and break the silence, so the world loves it. "In the 18th century, the jigsaw puzzle spread abroad.

Joseph Needham said it is one of the "oldest pastimes in the East", and there is still a copy of "New Score of Seven Skills" in the library of Cambridge University in the UK. The American writer Edgar Allan Porter actually made a jigsaw puzzle out of ivory.

French Napoleon also used jigsaw puzzles as a pastime during his exile. Who could have imagined that the jigsaw puzzle would interact with the likes of Napoleon Bonaparte, Adam, Dooley, Edgar Allan Poe and Carroll? In fact, they are all jigsaw puzzle enthusiasts.

In the 18th century, the jigsaw puzzle spread abroad and immediately aroused great interest. Some foreigners played it all night long and called it "Tangtu", which means "jigsaw puzzle from China".

Reference: Baidu Encyclopedia tangram entry.

What is the maximum number of patterns that can be assembled on the tangram? And why~

Tangram is a kind of intellectual game, so as the name suggests, it is composed of seven boards. And these seven boards can be assembled into many shapes (more than a thousand), such as : Triangles, parallelograms, irregular polygons, players can also piece it into various characters, images, animals, bridges, houses, towers, etc., or some Chinese and English letters. The tangram is composed of the following seven boards , the complete pattern is a square: five isosceles right triangles (two small triangles, one medium triangle and two large triangles), one square and one parallelogram. The simple structure of the jigsaw puzzle can easily make people mistakenly think that it is It is also easy to solve its problems, but in fact this idea is one-sided. More than 1,600 patterns can be spelled out with the tangram, some of which are easy to spell, some are quite mysterious, and some are specious and full of contradictions. How to play The tangram is simple, just use the seven pieces of the tangram to create various ever-changing patterns. You can also compete with your friends to see who can spell the most.

Reference: Joosf Elffers' book .

What shapes can be made with the tangram?

Just now we just used a few pieces of the tangram to make geometric shapes. In fact, the tangram can also make many interesting patterns? (Show various patterns) More than 300 different patterns can be created with a tangram!

2. Activity 1.

(1) House. Talk about what those shapes are made up of.

(2) Dog.

(Students have different opinions about this graphic)

The secret of the tangram is here. It allows our students to fully develop their imagination, just like the clouds in the sky, according to Its shape can be anything you want to imagine it to be.

Students try spelling for the first time.

3. Teacher, there is another pattern made of jigsaw puzzles here, let’s see what it is! (Crane)

(1) Yes! It's a crane. What shapes are this pattern made of? It seems difficult to see. Why is this? (There was a gap in the puzzle just now, but there is no gap in this picture)

(2) Please discuss with the children at the same table, can you spell this crane? (Group discussion, practice)

3. Activity 2.

Next we have a jigsaw puzzle competition to see who has the richest imagination and the patterns they spell out are beautiful and very similar. The teacher has a few reference graphics to introduce to you. You can invent one yourself, or you can copy it.

The pattern of the jigsaw puzzle should be

Chasing and feeding the baby. Every day when he eats, he has to be chased and fed by an adult. After a meal, there is no less talk and no less walking. But the baby didn't eat much.

I really don’t know when this “hunt” for feeding will end? Experts suggest that the "hunting" should be stopped immediately and let the baby sit and eat together with your family. As time goes by, mothers will find that during meal time, the baby not only gets food, he is also learning. Social skills such as: how to use cutlery, how to share and taste food. ●Assign a fixed seat for your baby. The height should be moderate. It is best to use a child high seat specially designed for babies.

●Children’s imitation ability is amazing. If the adults eating together enjoy the food, then the baby may be more interested in the food. Eating is like growing food. Every time the baby eats, he will scatter a lot of rice grains and vegetable leaves. There is still more than half of the rice left, but it is already cold, so let the mother feed it! Expert advice: Never deprive your children of the right to eat on their own.

●Choose a deep utensil for your baby so that he can scoop up the food with a spoon and try to avoid spilling it everywhere. ●Place a plastic tablecloth or newspaper under your baby's high seat to make cleaning the floor easier.

●Children eat slowly, so mothers should eat less and more every time they serve their children, so as to avoid eating cold rice. ●Even if the baby eats it all over the floor, don’t complain too much, because this is the transitional stage that the baby must go through to "learn skills". The mother needs to be calm and patient. The best way is to satisfy the baby's "I "Do it yourself" requirement, and encourage babies to "do their own things by themselves".

However, there are some things that must be strictly stopped, that is, the baby throwing food on the ground or throwing it on others. Hands are baby's tableware. The main tableware for babies is their hands. They grab everything they see, and they don't seem to see the spoon next to them. Even if they use a spoon, the method is weird, and they can't learn it even after being taught many times.

Experts advise that eating posture is very important, which is the prerequisite to ensure that the baby can eat smoothly on his own. ●Sit upright, holding the bowl in one hand and a spoon in the other.

●Hold the spoon the same way an adult holds a pen. Do not hold the spoon too wide or hold it backwards.

Various ways to spell the tangram. How many ways are there to spell the rectangle, square, and trapezoid in the tangram?

vAlign=topgt; gt; Interesting tangram 1. Activity goal design: 1. Cognitive goals: Identify the basic structure of the tangram, and be able to express your thinking results with appropriate graphics and language. 2. Ability Objectives: (1) Through tangram making activities, further enrich the understanding of parallel, perpendicular and angle related contents. (2) In the process of communicating with other people, be able to express one's thinking process reasonably and clearly. (3) Cultivate Students' hands-on practical ability, in the process of arranging various figures, accumulates experience in mathematical activities and enhances students' awareness of innovation. 2. Key points and difficulties of this lesson: The focus of learning is to further understand the tangram through the production and arranging activities. Related content about parallelism, perpendicularity and angles. The difficulty of learning is to use jigsaw puzzles to put together known figures. 3. Teaching method: Demonstration method: Demonstrate physical models, teaching aids or multimedia courseware to students so that students can understand intuitively, concretely and vividly Perceptual graphics. Experimental method: Let students operate with their hands, put together various tangram combinations, and accumulate experience in mathematical activities. Discussion method: After students have conducted independent exploration, let them cooperate and communicate, so that they can promote each other and work together. Learning. Practice method: Carefully design in-class exercises to properly develop and improve students' knowledge level. 4. Activity preparation: 1. Materials: Each person prepares one or two 12cm*12cm square cardboard, scissors, and ruler etc. 2. Students can make a tangram in advance according to the method shown in Figure 4-31 on page 142 of the textbook, and paint it with different colors. 3. The teacher and class representatives will divide every 4 people into an activity group according to the students' different strengths. 5. Activity process: width=268gt; teacher activity width=141gt; student activity width=172gt; activity design intention vAlign=top width=268gt; situation: 1. Tangram, also known as the wisdom board, is an item of our ancestors An outstanding creation. It spread to the West in the early 19th century, aroused widespread interest, and spread quickly, known as the "Oriental Template". Although the tangram consists of only seven boards, they can create a variety of shapes. 〖Physical demonstration〗 vAlign=top width=141gt; Students read the information first and then communicate with their peers. vAlign=top width=172gt; Through the introduction of the tangram, it illustrates the wisdom of our people and also clearly explains what the tangram is. Use the tangram The origin of the problem situation is created, on the one hand, it stimulates students' national pride, and on the other hand, it enables students to initially perceive: the ever-changing charm of the tangram. vAlign=top width=268gt; 2. How is the tangram made? 〖Courseware Demonstration〗 1. Draw a tangram as shown in the picture, 2. Paint it with different colors, 3. Cut it, 4. Find three groups of parallel line segments and mutually perpendicular line segments in the picture below. vAlign= top width=141gt; By observing graphics and combining courseware, make a jigsaw puzzle. vAlign=top width=172gt; By making jigsaw puzzles by hand, you can further enrich your understanding of parallel, perpendicular and angular contents, so as to become familiar with the jigsaw puzzle. To help you put together smoothly Be prepared for various shapes of the tangram. vAlign=top width=268gt; 3 Explore: 1. Do a puzzle activity: put together your favorite graphics. 2. Practice (1) What shape of board did you use for the puzzle? ? What do you want to express? (2) In the pattern you spelled out, point out three groups of parallel line segments or perpendicular line segments. Express the relationship between them. (3) In the pattern you spelled out, find an acute angle, A right angle and an obtuse angle, and express them respectively. What are their degrees? 3. Group activity competition: Ask each group to use a jigsaw puzzle to spell out a pattern of the number 1 and the English letter A (see the picture below) and take a look.

, which group can spell the fastest. 4. Practice in class: (1) The jigsaw puzzle originated in the Tang Dynasty. It is cut from a jigsaw puzzle and consists of seven pieces of different sizes. (2) A pair of jigsaw puzzles The degrees of the angles in the spelled out pattern can only be three types: , , , and . (3) The largest board (triangle) in the tangram is times the area of ??the smallest board (triangle), and the area of ??the parallelogram is the total area of ??the tangram. ( 4) The seven pieces of the tangram have only one different pattern, and there are pairs of triangles that can completely overlap. vAlign=top width=141gt; Students first fully imagine, then assemble the tangram pattern, and exchange their experiences with their peers. 2 Exercises (1) (2) (3): Students first imagine, then observe graphics, perceive images, and communicate with peers in the group. Question 3: Students work in groups of four, one person does the puzzle, one person records the process, and the other two People come up with ideas and communicate with each other. The groups that put together the pieces immediately paste their works on the blackboard, and the team with the fastest speed is the winning group. Practice: Students first think independently for a while, then communicate or discuss with their peers, and finally raise their hands to express their opinions. vAlign=top width=172gt; Allow students to actively engage in mathematical activities such as imagination, guessing, observation, experimentation, verification and communication, so that students can experience the charm of the tangram through activities, feel the beauty of spelling and life, and enjoy the joy of success. In this process, teachers should pay attention to the degree of students' participation in the activities and the level of thinking shown in the activities, and also pay attention to whether students can express their ideas in different languages ????(natural language, symbolic language). Let students explore independently Cultivate their hands-on practical ability through cooperation and exchanges. In the process of putting together various figures, they can accumulate experience in mathematical activities, enhance students' sense of innovation, cultivate students' spirit of unity and cooperation, and satisfy their competitiveness. Through in-class exercises, So that students' knowledge level can be properly developed and improved. width=268gt; 6 Long insights: Picture 1 below is our country's jigsaw puzzle, and picture 2 below is the jigsaw puzzle created by Europeans, called "Pythagoras" puzzle; Figure 3 consists of four jigsaw puzzles, some people call it the "Four Puzzles". 7 Group Extracurricular Activities 1. Prepare one piece.