The Nature and Judgment of Diamond in Junior High School Mathematics Teaching Plans and Reflection
The following is a lesson plan and reflection example on the nature and judgment of the middle school mathematics diamond: ##1. The Nature of the Diamond and Judgment of Teaching Plans ###(1) Teaching objectives 1. Knowledge and Skill Target - Students can understand the definition of rhombus, grasp the properties of rhombus and determine the theorem. - Able to use the properties of diamonds and determine the theorem to solve related mathematical problems. 2. process, method, goal - Through observation, operation, reasoning and other activities, students 'logical thinking ability and space concept are cultivated. - Through the process of exploring the properties of diamonds and determining them, he experienced mathematical methods such as analogy and transformation. 3. Emotions, attitudes, values, goals - To feel the close connection between mathematics and life and stimulate students 'interest in learning mathematics. - In the inquiry activities, the students 'awareness of cooperation and communication and the spirit of courage to explore were cultivated. ###(2) Difficulties in Teaching 1. ** Teaching Focus ** - Understanding and mastering the properties of rhombus and judgement theorem. - Using the properties of the diamond and the judgment theorem to calculate and prove. 2. ** Teaching Difficulties ** - The flexible use of the diamond property and the judgement theorem. - The addition of auxiliary lines in diamond-related problems. ###(3) Teaching Method Teaching method, inquiry method, group cooperation method, etc. ###(4) Teaching process 1. Lead in a new lesson - By showing some examples of diamond-shaped shapes in real life (such as diamond-shaped floor tiles, diamond-shaped windows, etc.), the students were guided to observe and think about the common characteristics of these shapes, thus leading to the definition of diamond-shaped shapes: a set of paralleled quadrigrams with equal adjacent sides is called a rhombus. 2. Exploring the nature of the diamond - Ask the students to review the properties of the quadrilateral, and then guide the students to explore the properties of the rhombus from the sides, angles, and diagonal. - The students explored the nature of the diamond through folding paper and measuring. The teacher inspected and gave guidance. - Investigation result summary: - Edge: All four sides of the diamond are equal. - Corner: The opposite corners of the diamond are equal, and the adjacent corners complement each other. - Diagonals: The two diagonal lines of the diamond are vertical to each other, and each diagonal line bisects a set of opposite angles. - The teacher commented and supplemented the students 'exploration results, and used tools such as the Geometrizer's Drawing Board to perform dynamic demonstration to deepen the students' understanding of the rhombus nature. 3. The application of rhombus property - Explain the example: Given the diagonal AC = 6 and BAD = 120° of the diamond, find the side length and area of the diamond. - Guide the students to analyze: According to the properties of the diamond, first find BAC = 60°, then use the properties of the equinoceros triangle to find the side length, and then find the area according to the diamond area is equal to half of the diagonal product. - Student practice: Arrange some diamond-shaped exercises for students to complete independently. The teacher will patrol and correct the students 'mistakes in time. 4. Exploring the Judgement of Diamond - Question: How do you determine if a quadrilateral is a rhombus? Guide the students to review the methods of determining the quadrilateral and the rectangular shape, and explore the method of determining the rhombus shape by analogy. - The students divided into groups to discuss and try to come up with a diamond conjecture from the sides, corners, and diagonal. - The teacher sorted out and analyzed the students 'conjectures, and then proved the diamond-shaped theorem through logical reasoning: - A rhomboid with equal adjacent sides is a rhombus. - A rhomboid with diagonal lines at right angles to each other is a diamond. - A quadrilateral with four equal sides is a rhombus. - The teacher explained the diamond-shaped decision theorem in detail through examples and graphs, so that the students could understand the conditions and conclusions of the decision theorem. 5. The application of diamond judgment - Explain the example: In the known quadrilateral ADC, ADC = DA, prove that the quadrilateral ADC is a rhombus. - Guide the students to analyze: According to the theorem that a quadrilateral with four equal sides is a rhombus, the conclusion is directly drawn. - Student practice: Arrange some practice questions related to the diamond judgment and let the students complete them independently. The teacher will patrol and tutor individual students. 6. Class summary - Guide the students to review the content of this lesson, including the definition of diamonds, properties, judgment theorem, and related solution methods. - He emphasized the importance of the rhombus property and decision theorem in solving geometry problems and encouraged students to use them flexibly in their future studies. 7. arrange homework - Arrange some written homework, such as the exercises in the textbook, to consolidate the knowledge learned in this class. - He assigned an exploratory assignment to let the students think about the relationship between the diamond and the square, paving the way for the next class. ##2. Reflection on Teaching ###(I) Success 1. In the teaching process, the students were guided to learn the nature and judgment of the rhombus through independent inquiry and group cooperation, which cultivated the students 'inquiry ability and cooperative consciousness. 2. Using life examples to introduce new lessons, it stimulated the students 'interest in learning and made them feel the close connection between mathematics and life. 3. When explaining the properties of the rhombus and the judgment theorem, the students were taught in a variety of ways (such as folding paper, measurement, demonstration of the geometric sketchpad, etc.) to help the students better understand and master the knowledge. 4. The design of the teaching process was reasonable. From introduction, exploration, application to summary, assignment, it progressed step by step, in line with the students 'cognitive laws. ###(2) Deficiency 1. In the classroom, there was not enough attention to some students, resulting in some students not getting timely help when they encountered difficulties in the process of inquiry activities and practice. 2. In the process of explaining the proof of the diamond decision theorem, some students had some difficulty understanding it. In the teaching, more attention should be paid to the detailed explanation of the reasoning process and the teaching pace should be slowed down. 3. In the practice session, the difficulty level of the practice questions was not clear enough, and the learning needs of students at different levels were not fully considered. ###(3) Enhancement measures 1. In the future, he should pay more attention to all students, especially those with learning difficulties, and give them timely guidance and help. 2. When explaining the proof of an important theorem, he had to be more detailed and patient. He had to use a variety of methods to explain it, such as decomposing the steps and combining examples to ensure that most students could understand it. 3. When designing practice questions, it was necessary to carefully design questions of different difficulty levels to meet the learning needs of students of different levels. At the same time, it was necessary to strengthen the explanation and analysis of practice questions to improve students 'ability to solve problems. Read more exciting novels for free
TikTok Internet Celebrity School Bag Price
There were many prices for school bags on TikTok. For example, there was an online celebrity schoolbag for female TikTok girlfriends. The price of a Korean high school student's high school backpack for female students was 79.8 yuan; the price of a small yellow duck pressure reduction large capacity schoolbag was 39.9 yuan during the opening season; the price of a Korean version of the online celebrity TikTok primary school student's four, five, six, and seven grade shoulder bag for a cute junior high school girl's big child was 44.2 - 49.0 yuan (starting from two pieces). <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The ballad my grandfather sang
The songs that Grandpa had sung in different regions and people's memories were different. For example, there was the song " The curved moon and the small boat ", which had the lyrics " The curved moon and the small boat, the small boat has two sharp ends, I sat on the small boat...", and there was also the song " When I was young, I had to go to school, you helped me get my clothes. On the dark road at the village entrance, you carried me across the ditch. On the way home after school, you waved at me. You always have my favorite bite in your pocket. When I grow up, I want to leave home. The crumpled hard-earned money you stuffed into my pocket. I'll roar at you, thrifty grandpa. But you were teary-eyed and said that you wouldn't take it or let me go." This was a self-created ballad that expressed her memories and feelings for her grandfather, and songs like " Rolling the mill, turning the mill, three-year-old Ya, can roll the mill, the papa that is pushed out is sweeter than ever. The granny next door came to light the fire and ate thirteen in one go. The corner of the table, the corner of the bench, and the back of the granny's head were all children's songs that were full of local characteristics and childlike fun.
Let you fall in the crowd
According to the content you provided, there is a song called Eleven that contains the lyrics of " letting you fall in the crowd ". The complete lyrics are as follows: How many glasses of hard liquor have you drunk How many times have my chest been burning hot? The movie that ended Will you see the end your story Can you still accept How many cigarette butts have you smoked? Tried to let go a few times Once upon a time, the alley entrance Will you walk to the end to leave Can you still accommodate How long have you not been with me? Maybe only by losing it can we be free Let you fall in the crowd Maybe you think you're free and easy My loneliness is thrown to love Maybe leaving you without making a choice In the end, we will still miss Is the result you want How many cigarette butts have you smoked? Tried to let go a few times Once upon a time, the alley entrance Will you walk to the end to leave Can you still accommodate How long have you not been with me? Maybe only by losing it can we be free Let you fall in the crowd Maybe you think you're free and easy My loneliness is thrown to love Maybe leaving you without making a choice In the end, we will still miss Is the result you want Maybe there was too much between us back then Even if I lose it, I don't feel too reluctant You may not be sad after leaving me Will you feel lonely in the endless night? I'm disappointed, I'm at a loss, I'm lost Then let me live alone How long have you not been with me? How long have you not been with me? Maybe only by losing it can we be free Let you fall in the crowd Maybe you think you're free and easy My loneliness is thrown to love Maybe leaving you without making a choice In the end, we will still miss Is the result you want " Hugging You in the Wind of the City " was equally exciting. Everyone was welcome to click and read it!
Who are the senior brothers of the Third Bureau of Qingyu who protect their children?
Telling the Black Mythical Goku as a bedtime story
Once upon a time, there was a magical world. There were many wonderful monsters and mysterious fairyland in this world. In this world, there was a very famous character, Sun Wukong. In the beginning, Sun Wukong didn't want to be the Victorious Fighting Buddha. He just wanted to return to Huaguo Mountain and live a free life. However, his idea worried the Heavenly Court. Therefore, God Erlang, the Four Heavenly Kings, and the Heavenly Soldiers surrounded Sun Wukong. Sun Wukong was not afraid. He started fighting with Erlang Shen, and they were locked in a stalemate. In the end, Sun Wukong turned into an eagle and wanted to fly away, but the golden hoop that had disappeared on his head suddenly appeared again. He had a terrible headache and was hit by Erlang Shen's three-pointed double-edged sword to the top of the mountain. A white-haired old monkey from the Flowerfruit Mountain was very sad. It said that although Sun Wukong was dead, his soul was still there. It had turned into six spiritual objects and was hidden in the world. At this moment, there was a destined person, who was actually a little monkey from Flowerfruit Mountain. He was entrusted by the old monkey to go to the world to find these six spiritual items. Legend had it that as long as one could find these six spiritual items, a Great Sage could be resurrected. After this destined person left Flowerfruit Mountain, he came to the first place he went to train-Black Wind Mountain. There was a Guanyin Zen Temple at the foot of the Black Wind Mountain. Elder Jin Chi was originally a mortal. When he was young, he met a black bear spirit with a very Buddhist nature and learned the method of longevity from the black bear spirit. However, Elder Jinchi was too greedy. When Tang Sanzang and his disciples came to stay, he wanted to snatch Tang Sanzang's kasaya. In the end, he was teased by Sun Wukong and was so ashamed that he smashed his head against the wall. After Elder Jin Chi died, his obsession was still there. He became a blind, zombie-like vengeful spirit that wandered around the monastery. After Sun Wukong died in battle, the black bear returned to Black Wind Mountain and rebuilt the Guanyin Zen Temple. The monks who had died in the sea of fire were also turned into walking corpses by the black bear spirit and stuffed into the bell to live. The black bear spirit was also pleased with one of the six spiritual objects of the Great Sage. However, his magic power was not enough to refine this spiritual object, so he placed it on the treasure temple and let the small demons worship it. After the fated person arrived at Black Wind Mountain, he first killed a few little gremlins and then met the land of Black Wind Mountain. This was the first NPC in the game. The Earth Eunuch told the Chosen One what happened on Black Wind Mountain and taught him the transformation technique. The Chosen One transformed into a golden cicada and walked forward. He encountered the first miniboss, the Wolf Demon, Guang Zhi. Guang Zhi had always wanted to be a human. When Tang Sanzang was traveling west, he was recommended to Elder Jinchi by the black bear spirit and became a monk in the temple. He even bewitched Elder Jinchi to snatch the kasaya. The fated person fought with him and killed him in the end. He even obtained his weapon, Crimson Tide. The destined person continued to walk into the temple and met the Ash Wolf Elf Xuzi again. In fact, Ling Huzi in the original novel was killed by Sun Wukong. This was another demon supported by the black bear spirit, and in the end, it was also destroyed by the destined person. Then, the destined one wanted to deal with Guang Zhi's junior brother, Guang Mou. Although Guang Mou had a human body, he wanted to be the demon king. He used a poisonous trick to let Elder Jin Chi set fire to Tang Sanzang and his disciples. He looked like a human, but his body was full of demonic qi. Alright, baby, the story is over. Go to sleep. Not satisfied with the game? You can read the novel related to Black Myth: Wukong to understand the exciting plot!
The beginning became a novel by Doflemenco
Food language spring roll
The spring roll had turned into a spirit during the Eastern Jin Dynasty. When he was in the human world, he was a little boy who sold spring banners and was called "Chun 'er". Every spring, people would spread pancakes made of flour on the plate and add exquisite vegetables to eat. Later, it gradually evolved into small and exquisite spring rolls. Spring rolls were considered soul eaters in the game. They included the soul eater setting, soul eater data (such as intelligence, level up, skills, star upgrade, breakthrough, etc.), fashion, favorability, game voice, and many other settings. "The Crane Drinks the Spring Breeze" is equally exciting. Everyone is welcome to click and read it!
The protagonist, Fu Xuerou, Li Sichen's novel
"Baby Mommy from Heaven, Run Away From Marriage" was a modern romance novel with Fu Xuerou and Li Sichen as the main characters. The plot of the novel included Fu Xuerou being forced to flee abroad after she accidentally got pregnant with a stranger's child due to a nightmare. Four years later, when she returned to China, she was caught by Li Sichen, and then Li Sichen attacked her. In the process, Fu Xuerou avoided him and the emotional entanglement between the two of them. For example, Fu Xuerou said that she was not interested in Li Sichen, but Li Sichen mentioned what happened four years ago. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The function of the blocking device of the reverse rope wheel
Although there was no direct mention of the function of the anti-rope wheel blocking device, according to the regulations on the protection of anti-rope wheels and other sheaves (although it has been abolished), there are three purposes for setting up protective devices for traction sheaves and sheaves: first, to prevent personal injury; second, to prevent the wire rope or chain from leaving the rope groove or the chain wheel due to relaxation; third, to prevent foreign objects from entering between the rope and the rope groove or between the chain and the chain wheel. It could be speculated that the blocking device of the anti-rope wheel might have a similar effect, such as preventing the wire rope from leaving the rope groove, preventing foreign objects from entering, etc., thus ensuring the safe operation of the elevator. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The most classic sentence
In the school song of Northwest University, the next line of " famous heroes " was " high mountains and long rivers." However, in other context, there was no such thing as the most classic next sentence. Different authors would match it with different sentences according to their own creative needs, such as " famous heroes gather in all directions, and the journey is grand and imposing ". " Oh, My Yao " was equally exciting. Everyone, please click to read it!