必修5第一个星期教案

数学5 第一章解三角形章节总体设计（一）课标要求本章的中心内容是如何解三角形，正弦定理和余弦定理是解三角形的工具，最后落实在解三角形的应用上。

通过本章学习，学生应当达到以下学习目标：（1）通过对任意三角形边长和角度关系的探索，掌握正弦定理、余弦定理，并能解决一些简单的三角形度量问题。

（2）能够熟练运用正弦定理、余弦定理等知识和方法解决一些与测量和几何计算有关的生活实际问题。

（二）编写意图与特色1．数学思想方法的重要性数学思想方法的教学是中学数学教学中的重要组成部分，有利于学生加深数学知识的理解和掌握。

本章重视与内容密切相关的数学思想方法的教学，并且在提出问题、思考解决问题的策略等方面对学生进行具体示范、引导。

本章的两个主要数学结论是正弦定理和余弦定理，它们都是关于三角形的边角关系的结论。

在初中，学生已经学习了相关边角关系的定性的知识，就是“在任意三角形中有大边对大角，小边对小角”，“如果已知两个三角形的两条对应边及其所夹的角相等,那么这两个三角形全”等。

教科书在引入正弦定理内容时，让学生从已有的几何知识出发，提出探究性问题：“在任意三角形中有大边对大角，小边对小角的边角关系.我们是否能得到这个边、角的关系准确量化的表示呢?”，在引入余弦定理内容时，提出探究性问题“如果已知三角形的两条边及其所夹的角,根据三角形全等的判定方法，这个三角形是大小、形状完全确定的三角形.我们仍然从量化的角度来研究这个问题，也就是研究如何从已知的两边和它们的夹角计算出三角形的另一边和两个角的问题。

”设置这些问题，都是为了加强数学思想方法的教学。

2．注意加强前后知识的联系加强与前后各章教学内容的联系，注意复习和应用已学内容，并为后续章节教学内容做好准备，能使整套教科书成为一个有机整体，提高教学效益，并有利于学生对于数学知识的学习和巩固。

本章内容处理三角形中的边角关系，与初中学习的三角形的边与角的基本关系，已知三角形的边和角相等判定三角形全等的知识有着密切联系。

一个星期教案教案标题：一个星期教案教学目标：1. 通过本周的学习，学生将能够熟练掌握一周的天数和顺序。

2. 学生将能够描述一周中每一天的活动和顺序。

3. 学生将能够运用所学知识，编写一个关于一周活动的简单日记。

教学资源：1. 教室白板或黑板2. 彩色粉笔或白板马克笔3. 一周时间表图片或卡片4. 学生练习册5. 学生日记本教学过程：引入活动：1. 在白板上画出一个星期的时间表，包括七个方框，每个方框代表一天。

2. 向学生展示一周时间表图片或卡片，引导学生讨论一周有多少天，并询问他们对每一天的了解。

教学主体：1. 教师向学生介绍一周的天数和顺序，例如星期一、星期二等，并在白板上写下每一天的名称。

2. 教师使用图片或卡片，让学生按照正确的顺序排列一周的时间表。

3. 教师逐一向学生介绍每一天的活动，例如星期一上学，星期二上体育课等。

教师可以使用图片、动作和简单的句子来帮助学生理解。

4. 教师与学生一起讨论每一天的活动顺序，并通过提问学生来巩固他们的理解。

活动练习：1. 将学生分成小组，每个小组分配一个时间表卡片。

2. 学生在小组内讨论并填写他们所分配的时间表卡片，包括每一天的活动和顺序。

3. 每个小组派一名代表向全班展示他们的时间表，并解释他们所填写的内容。

巩固和评估：1. 学生完成练习册上的相关练习，包括填写一周的时间表和描述每一天的活动。

2. 学生使用所学知识，编写一个关于一周活动的简单日记。

他们可以描述每一天的活动和顺序，并用适当的句子连接起来。

3. 教师检查学生完成的练习册和日记，给予反馈和评估。

拓展活动：1. 学生可以与家长或朋友分享他们所学的一周时间表和活动顺序。

2. 学生可以尝试编写一个更复杂的日记，描述一周中的不同活动和事件。

教学反思：这个教案通过引入、教学主体、活动练习和巩固评估等环节，帮助学生掌握了一周的天数和顺序，并能够描述每一天的活动。

通过小组合作和个人练习，学生得到了实际操作和应用的机会，提高了他们的学习兴趣和参与度。

Unit 1 Great ScientistsTeaching Goals:1. Enable the Ss to familiar with some famous scientists and their contributions.2. Enable the Ss to learn how to organize a scientific research.3. Let the Ss learn the reading skill of getting the main idea of each para./ part & each passage .Difficult points1. How to grasp the main idea of each paragraph / part & each passage.2. How to help the Ss use what they’ve learnt to do first aid treatment for burns correctly.Teaching methods1. Skimming & scanning methods to make the Ss get a good understanding of the text.2.Discussion methods to make the Ss understand what they’ve learned in class.3.Pair work of group to get every student to take part in the teaching-and-learning activities.petition and role-play method to arouse the Ss’ interestTeaching process:Period 1 Word study, Warming up, pre-readingPre-class task:1. Preview new vocabulary of Unit 1, and especially pay attention to the pronunciation of the new word2. Finish the quiz in Warming up( p1) in groups of four by referring to books or surfing the net.Step 1 Learning GoalsGet Ss to go through the summing up form on p 8 in order to have a general idea of the learning goals of Unit 1Step 2 Word Study1. (Pair work) Get Ss to learn the new words and phrases on p92 within 3 mins, by reading them aloud to each other to make sure that they can pronounce the words correctly---- Get Ss to read aloud the words in pairs by turns, e.g. 1 pairs read 4 words then go to next pair2. Practice Use the correct form of the words to fill in the blanks.Step 3. Warming up (Group competition and introduce the great scientists)1.Check the answers to the quiz to find out which group know the most .2.Introduce the great scientists.1) Archimedes (287—212 BC) Ancient Greek. He was a mathematician. He found that if you put an object into water the water pushes the object up. It rises and partly floats.“Give me a place to stand on, and I can move the earth.” ----Archimedes2) Charlie Darwin(1808-1882) British naturalist. The Origin of Species was published in 1859. It explained how plants and animals had changed over time to fit in with a changing environment. His book showed that people had developed from apes.3) Gregor Mendel(1822—1884) Czech. The father of genetic. He grew pea plants and developed ideas on heredity (遗传) and inherited characteristics. Between 1856—1863 he grew 28,000 pea plants. He examined seven kinds of seed and plant characteristics and developed some laws of inheritance.4) Marie Curie ( Polish ) (1867-1934) was born in Poland, moved to Paris and studied chemistry and physics there. She married Pierre Curie and together they studied radioactive materials and discovered radium. In 1911 she received the Nobel Prize in Chemistry. Her death in 1934 was almost certainly due to radiation in her work.5) Thomas Edison(1847----1931) He was already an inventor of other electrical devices (phonograph, electric light bulb) when in 1882 he designed a system for providing New York with electricity from a central power station. This was a tremendous achievement, which had previously been thought impossible.6) Leonardo da Vinci (Italian) (1452-1519)He was a famous Italian artist whose skill for showing human skin tones made his paintings seem to come alive. He used to study dead people in order to make his paintings as accurate as possible. Some of his famous paintings include “The Adoration of the Magi”and the “The Last Supper”. Later in his life he lived in France where he designed a submarine (潜水艇) and a flying machine.7) British. He did research into different gases and discovered the medical value of nitrous oxide (laughing gas) as an anaesthetic.(麻醉药) In 1815 he developed a safety lamp for miners.8) Zhang Heng ,Chinese( 78-----139) He invented the first seismograph to indicate in the direction of an earthquake. It was in the shape of a cylinder with eight dragonheads round the top, each with a ball in its mouth. Around the bottom were eight frogs directly under a dragon’s head. When an earthquake occurred, a ball fell out of the dragon’s mouth, making a noise.9) Stephen Hawking,British(1942--- ) He has worked in astronomy and studied black holes in space. He has shown that black holes do not only absorb everything around them but, from time to time,throw out matter as well. This may mark the beginning of new galaxies. This is an advance on the old theory which said that black holes “eat”everything they come across.Step 4 Pre-reading1. (Pair work) What five most important qualities do you think a scientist should have? Give reasons. clever/talented strict patient creative determined/strong-willed positive honest energetic intelligent/hard-working ambitious careful co-operative confident brave2. (Group work) Ex2, p1Do you know how to prove a new idea in scientific research? Discuss in groups the stages in examininga new scientific idea. What order would you put them in?8)Draw a conclusion 3)Think of a method 4)Collect results 5)Make up a question1)Find a problem 5)Analyse the results 6)find supporting evidence 7)Repeat if necessaryStep 5. SummarySeeing much, suffering much, and studying much are three pillars (支柱，要素) of learning.learning without thought is a labour lost; thought without learning is perilous(危险的)3. To know the disease is half the cure. 找出病根等于医治了一半。

（2）阅读理解：学生需要通过阅读课文，理解科学家们对宇宙探索的历程，把握文章的主旨大意，以及了解科学研究的方法和过程。
（3）写作技能：学生需要根据课堂讨论的内容，运用所学词汇和语法知识，撰写一篇关于科学家探索宇宙的短文。
2.教学难点
（1）生词理解：本节课的生词量较大，学生需要通过上下文线索，理解生词的意思。例如，在阅读课文中，学生可能遇到“astronomer”这个生词，但他们可以通过上下文中的“study the stars”来推断出“astronomer”的意思是“天文学家”。
学生活动：
-自主阅读预习资料：按照预习要求，自主阅读预习资料，理解宇宙探索的知识点。
-思考预习问题：针对预习问题，进行独立思考，记录自己的理解和疑问。
-提交预习成果：将预习成果（如笔记、思维导图、问题等）提交至平台或老师处。
教学方法/手段/资源：
-自主学习法：引导学生自主思考，培养自主学习能力。
-信息技术手段：利用在线平台、微信群等，实现预习资源的共享和监控。
-通过反思总结，帮助学生发现自己的不足并提出改进建议，促进自我提升。
拓展与延伸
1.提供与本节课内容相关的拓展阅读材料
（1）文章：《探索宇宙的奥秘》：介绍科学家们对宇宙探索的历程，包括哈勃望远镜、火星探测车等的重要发现。
（2）文章：《宇宙的起源和演化》：阐述宇宙大爆炸理论、恒星演化、黑洞等概念，帮助学生深入了解宇宙的奥秘。
核心素养目标
本节课的核心素养目标主要包括以下三个方面：
1.语言能力：通过阅读、讨论和写作等环节，提升学生运用英语进行沟通和表达的能力，使他们在不同的情境中能够准确、得体地使用英语。
2.思维品质：通过分析课文内容、参与小组讨论等环节，培养学生的逻辑思维、批判性思维和创新思维，使他们能够独立思达到本节课的教学目标，我计划采用多种教学方法，包括讲授、讨论、案例研究和项目导向学习等。