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【高教版】中職數(shù)學(xué)基礎(chǔ)模塊上冊(cè)：3.3《函數(shù)的實(shí)際應(yīng)用舉例》教學(xué)設(shè)計(jì)
課程分析中專數(shù)學(xué)課程教學(xué)是專業(yè)建設(shè)與專業(yè)課程體系改革的一部分，應(yīng)與專業(yè)課教學(xué)融為一體，立足于為專業(yè)課服務(wù)，解決實(shí)際生活中常見(jiàn)問(wèn)題，結(jié)合中專學(xué)生的實(shí)際，強(qiáng)調(diào)數(shù)學(xué)的應(yīng)用性，以滿足學(xué)生在今后的工作崗位上的實(shí)際應(yīng)用為主，這也體現(xiàn)了新課標(biāo)中突出應(yīng)用性的理念。分段函數(shù)的實(shí)際應(yīng)用在本課程中的地位：（1） 函數(shù)是中專數(shù)學(xué)學(xué)習(xí)的重點(diǎn)和難點(diǎn)，函數(shù)的思想貫穿于整個(gè)中專數(shù)學(xué)之中，分段函數(shù)在科技和生活的各個(gè)領(lǐng)域有著十分廣泛的應(yīng)用。（2） 本節(jié)所探討學(xué)習(xí)分段函數(shù)在生活生產(chǎn)中的實(shí)際問(wèn)題上應(yīng)用，培養(yǎng)學(xué)生分析與解決問(wèn)題的能力，養(yǎng)成正確的數(shù)學(xué)化理性思維的同時(shí)，形成一種意識(shí)，即數(shù)學(xué)“源于生活、寓于生活、用于生活”。教材分析 教材使用的是中等職業(yè)教育課程改革國(guó)家規(guī)劃教材，依照13級(jí)教學(xué)計(jì)劃，函數(shù)的實(shí)際應(yīng)用舉例內(nèi)容安排在第三章函數(shù)的最后一部分講解。本節(jié)內(nèi)容是在學(xué)生熟知函數(shù)的概念，表示方法和對(duì)函數(shù)性質(zhì)有一定了解的基礎(chǔ)上研究分段函數(shù)，同時(shí)深化學(xué)生對(duì)函數(shù)概念的理解和認(rèn)識(shí)，也為接下來(lái)學(xué)習(xí)指數(shù)函數(shù)和對(duì)數(shù)函數(shù)作了良好鋪墊。根據(jù)13級(jí)學(xué)生實(shí)際情況，由生活生產(chǎn)中的實(shí)際問(wèn)題入手，求得分段函數(shù)此部分知識(shí)以學(xué)生生活常識(shí)為背景，可以引導(dǎo)學(xué)生分析得出。
高教版中職數(shù)學(xué)基礎(chǔ)模塊下冊(cè)：9.1《平面的基本性質(zhì)》教學(xué)設(shè)計(jì)
課題序號(hào) 授課班級(jí) 授課課時(shí)2授課形式新課授課章節(jié) 名稱§9-1 平面基本性質(zhì)使用教具多媒體課件教學(xué)目的1.了解平面的定義、表示法及特點(diǎn)，會(huì)用符號(hào)表示點(diǎn)、線、面之間的關(guān)系—基礎(chǔ)模塊 2.了解平面的基本性質(zhì)和推論，會(huì)應(yīng)用定理和推論解釋生活中的一些現(xiàn)象—基礎(chǔ)模塊 3.會(huì)用斜二測(cè)畫(huà)法畫(huà)立體圖形的直觀圖—基礎(chǔ)模塊 4.培養(yǎng)學(xué)生的空間想象能力教學(xué)重點(diǎn)用適當(dāng)?shù)姆?hào)表示點(diǎn)、線、面之間的關(guān)系；會(huì)用斜二測(cè)畫(huà)法畫(huà)立體圖形的直觀圖教學(xué)難點(diǎn)從平面幾何向立體幾何的過(guò)渡，培養(yǎng)學(xué)生的空間想象能力.更新補(bǔ)充 刪節(jié)內(nèi)容 課外作業(yè) 教學(xué)后記能動(dòng)手畫(huà)，動(dòng)腦想，但立體幾何的語(yǔ)言及想象能力差
高教版中職數(shù)學(xué)基礎(chǔ)模塊下冊(cè)：9.5《柱、錐、球及其簡(jiǎn)單組合體》教學(xué)設(shè)計(jì)
課題序號(hào) 授課班級(jí) 授課課時(shí)2授課形式 教學(xué)方法 授課章節(jié) 名稱9.5柱、錐、球及其組合體使用教具 教學(xué)目的1、使學(xué)生認(rèn)識(shí)柱、錐、球及其組合體的結(jié)構(gòu)特征，并能運(yùn)用這些特征描述生活中簡(jiǎn)單物體的結(jié)構(gòu)。 2、讓學(xué)生了解柱、錐、球的側(cè)面積和體積的計(jì)算公式。 3、培養(yǎng)學(xué)生觀察能力、計(jì)算能力。
高教版中職數(shù)學(xué)基礎(chǔ)模塊下冊(cè)：6.2《等差數(shù)列》教學(xué)設(shè)計(jì)
系（部）醫(yī)藥授課教師戚文擷授課班級(jí)11(5),11（6）班授課類型新授課授課時(shí)數(shù)2課時(shí)授課周數(shù)第一周授課日期2012.2.15授課地點(diǎn) 教室課題第六章數(shù)列分課題§6.2 等差數(shù)列教學(xué)目標(biāo)1. 理解等差數(shù)列的概念，掌握等差數(shù)列的通項(xiàng)公式；掌握等差中項(xiàng)的概念． 2. 逐步靈活應(yīng)用等差數(shù)列的概念和通項(xiàng)公式解決問(wèn)題． 3.等差數(shù)列的前N項(xiàng)之和 ． 4．培養(yǎng)學(xué)生分析、比較、歸納的邏輯思維能力． ． 2． 3．教學(xué)重點(diǎn)等差數(shù)列的概念及其通項(xiàng)公式． 教學(xué)難點(diǎn)等差數(shù)列通項(xiàng)公式的靈活運(yùn)用． 教學(xué)方法情境教學(xué)法、自主探究式教學(xué)方法教學(xué)器材及設(shè)備黑板、粉筆復(fù)習(xí)提問(wèn)提問(wèn)內(nèi)容姓名成績(jī)1．?dāng)?shù)列的定義？ 答： 2. 數(shù)列的通項(xiàng)公式？ 答： 板書(shū)設(shè)計(jì) §6.2.1等差數(shù)列的概念 1． 1.等差數(shù)列的定義 公差：d 2.常數(shù)列 3．等差數(shù)列的通項(xiàng)公式 an＝a1＋(n－1)d． 等差數(shù)列的前n 項(xiàng)和公式： 例題 練習(xí)作業(yè)布置習(xí)題第1，2題．課后小結(jié)本節(jié)課主要采用自主探究式教學(xué)方法．充分利用現(xiàn)實(shí)情景，盡可能地增加教學(xué)過(guò)程的趣味性、實(shí)踐性．我再整個(gè)教學(xué)中強(qiáng)調(diào)學(xué)生的主動(dòng)參與，讓學(xué)生自己去分析、探索，在探索過(guò)程中研究和領(lǐng)悟得出的結(jié)論，從而達(dá)到使學(xué)生既獲得知識(shí)又發(fā)展智能的目的．
【高教版】中職數(shù)學(xué)拓展模塊：1.2《正弦型函數(shù)》教學(xué)設(shè)計(jì)
教 學(xué) 過(guò) 程教師 行為學(xué)生 行為教學(xué) 意圖時(shí)間 *揭示課題 1.2正弦型函數(shù)． *創(chuàng)設(shè)情境 興趣導(dǎo)入 與正弦函數(shù)圖像的做法類似，可以用“五點(diǎn)法”作出正弦型函數(shù)的圖像．正弦型函數(shù)的圖像叫做正弦型曲線． 介紹 播放 課件 質(zhì)疑 了解 觀看 課件 思考 學(xué)生自然的走向知識(shí)點(diǎn) 0 5*鞏固知識(shí) 典型例題 例3 作出函數(shù)在一個(gè)周期內(nèi)的簡(jiǎn)圖． 分析 函數(shù)與函數(shù)的周期都是，最大值都是2，最小值都是－2. 解 為求出圖像上五個(gè)關(guān)鍵點(diǎn)的橫坐標(biāo)，分別令，，，，，求出對(duì)應(yīng)的值與函數(shù)的值，列表1-1如下： 表 001000200 以表中每組的值為坐標(biāo)，描出對(duì)應(yīng)五個(gè)關(guān)鍵點(diǎn)（，0）、（，2）、（，0）、（，?2）、（，0）．用光滑的曲線聯(lián)結(jié)各點(diǎn)，得到函數(shù)在一個(gè)周期內(nèi)的圖像（如圖）． 圖 引領(lǐng) 講解 說(shuō)明 引領(lǐng) 觀察 思考 主動(dòng) 求解 觀察 通過(guò) 例題 進(jìn)一 步領(lǐng) 會(huì) 注意 觀察 學(xué)生 是否 理解 知識(shí) 點(diǎn) 15
【高教版】中職數(shù)學(xué)拓展模塊：1.3《正弦定理與余弦定理》教學(xué)設(shè)計(jì)
教 學(xué) 過(guò) 程教師 行為學(xué)生 行為教學(xué) 意圖時(shí)間 *揭示課題 1.3正弦定理與余弦定理． *創(chuàng)設(shè)情境 興趣導(dǎo)入 在實(shí)際問(wèn)題中，經(jīng)常需要計(jì)算高度、長(zhǎng)度、距離和角的大小，這類問(wèn)題中有許多與三角形有關(guān)，可以歸結(jié)為解三角形問(wèn)題，經(jīng)常需要應(yīng)用正弦定理或余弦定理． 介紹 播放 課件 了解 觀看 課件 學(xué)生自然的走向知識(shí)點(diǎn) 0 5*鞏固知識(shí) 典型例題 例6一艘船以每小時(shí)36海里的速度向正北方向航行（如圖1－14）.在A處觀察燈塔C在船的北偏東30°，0.5小時(shí)后船行駛到B處，再觀察燈塔C在船的北偏東45°，求B處和燈塔C的距離（精確到0.1海里）. 解 因?yàn)椤螻BC=45°，A=30°，所以C=15°， AB = 36×0.5 = 18 (海里). 由正弦定理得 答：B處離燈塔約為34.8海里. 例7 修筑道路需挖掘隧道，在山的兩側(cè)是隧道口A和B(圖1－15），在平地上選擇適合測(cè)量的點(diǎn)C，如果C=60°，AB = 350m，BC = 450m，試計(jì)算隧道AB的長(zhǎng)度（精確到1m）． 解 在△ABC中，由余弦定理知 =167500． 所以AB≈409m. 答：隧道AB的長(zhǎng)度約為409m. 圖1－15 引領(lǐng) 講解 說(shuō)明 引領(lǐng) 觀察 思考 主動(dòng) 求解 觀察 通過(guò) 例題 進(jìn)一 步領(lǐng) 會(huì) 注意 觀察 學(xué)生 是否 理解 知識(shí) 點(diǎn) 40
【高教版】中職數(shù)學(xué)拓展模塊：3.1《排列與組合》優(yōu)秀教學(xué)設(shè)計(jì)
教 學(xué) 過(guò) 程教師 行為學(xué)生 行為教學(xué) 意圖時(shí)間 *揭示課題 3．1 排列與組合． *創(chuàng)設(shè)情境 興趣導(dǎo)入 基礎(chǔ)模塊中，曾經(jīng)學(xué)習(xí)了兩個(gè)計(jì)數(shù)原理．大家知道： （1）如果完成一件事，有N類方式.第一類方式有k1種方法，第二類方式有k2種方法，……，第n類方式有kn種方法，那么完成這件事的方法共有 = + +…+（種）． （3.1） （2）如果完成一件事，需要分成N個(gè)步驟．完成第1個(gè)步驟有k1種方法，完成第2個(gè)步驟有k2種方法，……，完成第n個(gè)步驟有kn種方法，并且只有這n個(gè)步驟都完成后，這件事才能完成，那么完成這件事的方法共有 = · ·…·（種）． （3.2） 下面看一個(gè)問(wèn)題： 在北京、重慶、上海3個(gè)民航站之間的直達(dá)航線，需要準(zhǔn)備多少種不同的機(jī)票？ 這個(gè)問(wèn)題就是從北京、重慶、上海3個(gè)民航站中，每次取出2個(gè)站，按照起點(diǎn)在前，終點(diǎn)在后的順序排列，求不同的排列方法的總數(shù). 首先確定機(jī)票的起點(diǎn)，從3個(gè)民航站中任意選取1個(gè)，有3種不同的方法；然后確定機(jī)票的終點(diǎn)，從剩余的2個(gè)民航站中任意選取1個(gè)，有2種不同的方法．根據(jù)分步計(jì)數(shù)原理，共有3×2=6種不同的方法，即需要準(zhǔn)備6種不同的飛機(jī)票： 北京→重慶，北京→上海，重慶→北京，重慶→上海，上海→北京，上海→重慶. 介紹 播放 課件 質(zhì)疑 了解 觀看 課件 思考 引導(dǎo) 啟發(fā)學(xué)生得出結(jié)果 0 15*動(dòng)腦思考 探索新知 我們將被取的對(duì)象（如上面問(wèn)題中的民航站）叫做元素，上面的問(wèn)題就是：從3個(gè)不同元素中，任取2個(gè)，按照一定的順序排成一列，可以得到多少種不同的排列. 一般地，從n個(gè)不同元素中，任取m (m≤n)個(gè)元素，按照一定的順序排成一列，叫做從n個(gè)不同元素中取出m個(gè)元素的一個(gè)排列，時(shí)叫做選排列，時(shí)叫做全排列. 總結(jié) 歸納 分析 關(guān)鍵 詞語(yǔ) 思考 理解 記憶 引導(dǎo)學(xué)生發(fā)現(xiàn)解決問(wèn)題方法 20
【高教版】中職數(shù)學(xué)拓展模塊：3.2《二項(xiàng)式定理》教學(xué)設(shè)計(jì)
一、定義： ，這一公式表示的定理叫做二項(xiàng)式定理，其中公式右邊的多項(xiàng)式叫做的二項(xiàng)展開(kāi)式；上述二項(xiàng)展開(kāi)式中各項(xiàng)的系數(shù) 叫做二項(xiàng)式系數(shù)，第項(xiàng)叫做二項(xiàng)展開(kāi)式的通項(xiàng)，用表示；叫做二項(xiàng)展開(kāi)式的通項(xiàng)公式．二、二項(xiàng)展開(kāi)式的特點(diǎn)與功能1. 二項(xiàng)展開(kāi)式的特點(diǎn)項(xiàng)數(shù)：二項(xiàng)展開(kāi)式共（二項(xiàng)式的指數(shù)+1）項(xiàng)；指數(shù)：二項(xiàng)展開(kāi)式各項(xiàng)的第一字母依次降冪（其冪指數(shù)等于相應(yīng)二項(xiàng)式系數(shù)的下標(biāo)與上標(biāo)的差），第二字母依次升冪（其冪指數(shù)等于二項(xiàng)式系數(shù)的上標(biāo)），并且每一項(xiàng)中兩個(gè)字母的系數(shù)之和均等于二項(xiàng)式的指數(shù)；系數(shù)：各項(xiàng)的二項(xiàng)式系數(shù)下標(biāo)等于二項(xiàng)式指數(shù)；上標(biāo)等于該項(xiàng)的項(xiàng)數(shù)減去1（或等于第二字母的冪指數(shù)；2. 二項(xiàng)展開(kāi)式的功能注意到二項(xiàng)展開(kāi)式的各項(xiàng)均含有不同的組合數(shù)，若賦予a，b不同的取值，則二項(xiàng)式展開(kāi)式演變成一個(gè)組合恒等式．因此，揭示二項(xiàng)式定理的恒等式為組合恒等式的“母函數(shù)”，它是解決組合多項(xiàng)式問(wèn)題的原始依據(jù)．又注意到在的二項(xiàng)展開(kāi)式中，若將各項(xiàng)中組合數(shù)以外的因子視為這一組合數(shù)的系數(shù)，則易見(jiàn)展開(kāi)式中各組合數(shù)的系數(shù)依次成等比數(shù)列．因此，解決組合數(shù)的系數(shù)依次成等比數(shù)列的求值或證明問(wèn)題，二項(xiàng)式公式也是不可或缺的理論依據(jù)．
【高教版】中職數(shù)學(xué)拓展模塊：3.3《離散型隨機(jī)變量及其分布》教學(xué)設(shè)計(jì)
重點(diǎn)分析：本節(jié)課的重點(diǎn)是離散型隨機(jī)變量的概率分布，難點(diǎn)是理解離散型隨機(jī)變量的概念． 離散型隨機(jī)變量 突破難點(diǎn)的方法： 函數(shù)的自變量 隨機(jī)變量 連續(xù)型隨機(jī)變量 函數(shù)可以列表 X123456p 2 4 6 8 10 12
高教版中職數(shù)學(xué)基礎(chǔ)模塊下冊(cè)：10.2《概率》教學(xué)設(shè)計(jì)
課程課題隨機(jī)事件和概率授課教師李丹丹學(xué)時(shí)數(shù)2授課班級(jí) 授課時(shí)間 教學(xué)地點(diǎn) 背景分析正確使用兩個(gè)基本原理的前提是要學(xué)生清楚兩個(gè)基本原理使用的條件；分類用加法原理，分步用乘法原理，單純這點(diǎn)學(xué)生是容易理解的，問(wèn)題在于怎樣合理地進(jìn)行分類和分步教學(xué)中給出的練習(xí)均在課本例題的基礎(chǔ)上稍加改動(dòng)過(guò)的，目的就在于幫助學(xué)生對(duì)這一知識(shí)的理解與應(yīng)用 學(xué)習(xí)目標(biāo) 設(shè) 定知識(shí)目標(biāo)能力（技能）目標(biāo)態(tài)度與情感目標(biāo)1、理解隨機(jī)試驗(yàn)、隨機(jī)事件、必然事件、不可能事件等概念 2、理解基本事件空間、基本事件的概念,會(huì)用集合表示基本事件空間和事件 1 會(huì)用隨機(jī)試驗(yàn)、隨機(jī)事件、必然事件、不可能事件等概念 2 會(huì)用基本事件空間、基本事件的概念,會(huì)用集合表示基本事件空間和事件 3、掌握事件的基本關(guān)系與運(yùn)算 了解學(xué)習(xí)本章的意義,激發(fā)學(xué)生的興趣. 學(xué)習(xí)任務(wù) 描 述 任務(wù)一，隨機(jī)試驗(yàn)、隨機(jī)事件、必然事件、不可能事件等概念 任務(wù)二，理解基本事件空間、基本事件的概念,會(huì)用集合表示基本事件空間和事件
高教版中職數(shù)學(xué)基礎(chǔ)模塊下冊(cè)：10.3《總體、樣本與抽樣方法》教學(xué)設(shè)計(jì)
教 學(xué) 過(guò) 程教師 行為學(xué)生 行為教學(xué) 意圖時(shí)間 *揭示課題 10.3總體、樣本與抽樣方法（一） *創(chuàng)設(shè)情境 興趣導(dǎo)入 【實(shí)驗(yàn)】 商店進(jìn)了一批蘋(píng)果，小王從中任意選取了10個(gè)蘋(píng)果，編上號(hào)并稱出質(zhì)量．得到下面的數(shù)據(jù)（如表10－6所示）： 蘋(píng)果編號(hào)12345678910質(zhì)量（kg）0.210.170.190.160.200.220.210.180.190.17 利用這些數(shù)據(jù)，就可以估計(jì)出這批蘋(píng)果的平均質(zhì)量及蘋(píng)果的大小是否均勻． 介紹 質(zhì)疑 講解 說(shuō)明 了解 思考 啟發(fā) 學(xué)生思考 0 10*動(dòng)腦思考 探索新知 【新知識(shí)】 在統(tǒng)計(jì)中，所研究對(duì)象的全體叫做總體，組成總體的每個(gè)對(duì)象叫做個(gè)體． 上面的實(shí)驗(yàn)中，這批蘋(píng)果的質(zhì)量是研究對(duì)象的總體，每個(gè)蘋(píng)果的質(zhì)量是研究的個(gè)體． 講解 說(shuō)明 引領(lǐng) 分析 理解 記憶 帶領(lǐng) 學(xué)生 分析 20*鞏固知識(shí) 典型例題 【知識(shí)鞏固】 例1 研究某班學(xué)生上學(xué)期數(shù)學(xué)期末考試成績(jī)，指出其中的總體與個(gè)體. 解 該班所有學(xué)生的數(shù)學(xué)期末考試成績(jī)是總體，每一個(gè)學(xué)生的數(shù)學(xué)期末考試成績(jī)是個(gè)體． 【試一試】 我們經(jīng)常用燈泡的使用壽命來(lái)衡量燈炮的質(zhì)量．指出在鑒定一批燈泡的質(zhì)量中的總體與個(gè)體． 說(shuō)明 強(qiáng)調(diào) 引領(lǐng) 觀察 思考 主動(dòng) 求解 通過(guò)例題進(jìn)一步領(lǐng)會(huì) 35
人教A版高中數(shù)學(xué)必修二復(fù)數(shù)的三角表示教學(xué)設(shè)計(jì)
本節(jié)內(nèi)容是復(fù)數(shù)的三角表示，是復(fù)數(shù)與三角函數(shù)的結(jié)合，是對(duì)復(fù)數(shù)的拓展延伸，這樣更有利于我們對(duì)復(fù)數(shù)的研究。1.數(shù)學(xué)抽象：利用復(fù)數(shù)的三角形式解決實(shí)際問(wèn)題；2.邏輯推理：通過(guò)課堂探究逐步培養(yǎng)學(xué)生的邏輯思維能力；3.數(shù)學(xué)建模：掌握復(fù)數(shù)的三角形式；4.直觀想象：利用復(fù)數(shù)三角形式解決一系列實(shí)際問(wèn)題；5.數(shù)學(xué)運(yùn)算:能夠正確運(yùn)用復(fù)數(shù)三角形式計(jì)算復(fù)數(shù)的乘法、除法；6.數(shù)據(jù)分析:通過(guò)經(jīng)歷提出問(wèn)題—推導(dǎo)過(guò)程—得出結(jié)論—例題講解—練習(xí)鞏固的過(guò)程，讓學(xué)生認(rèn)識(shí)到數(shù)學(xué)知識(shí)的邏輯性和嚴(yán)密性。復(fù)數(shù)的三角形式、復(fù)數(shù)三角形式乘法、除法法則及其幾何意義舊知導(dǎo)入：?jiǎn)栴}一：你還記得復(fù)數(shù)的幾何意義嗎？問(wèn)題二：我們知道，向量也可以由它的大小和方向唯一確定，那么能否借助向量的大小和方向這兩個(gè)要素來(lái)表示復(fù)數(shù)呢？如何表示？
人教A版高中數(shù)學(xué)必修二平面與平面垂直教學(xué)設(shè)計(jì)
6. 例二：如圖，AB是⊙O的直徑，PA垂直于⊙O所在的平面，C是圓周上的一點(diǎn)，且PA＝AC，求二面角P－BC－A的大小． 解：由已知PA⊥平面ABC，BC在平面ABC內(nèi)∴PA⊥BC∵AB是⊙O的直徑，且點(diǎn)C在圓周上，∴AC⊥BC又∵PA∩AC=A,PA,AC在平面PAC內(nèi)，∴BC⊥平面PAC又PC在平面PAC內(nèi)，∴PC⊥BC又∵BC是二面角P-BC-A的棱，∴∠PCA是二面角P-BC-A的平面角由PA=AC知△PAC是等腰直角三角形∴∠PCA=45°，即二面角P-BC-A的大小是45°7.面面垂直定義一般地，兩個(gè)平面相交，如果它們所成的二面角是直二面角，就說(shuō)這兩個(gè)平面互相垂直，平面α與β垂直，記作α⊥β8. 探究：建筑工人在砌墻時(shí)，常用鉛錘來(lái)檢測(cè)所砌的墻面與地面是否垂直，如果系有鉛錘的細(xì)繩緊貼墻面，工人師傅被認(rèn)為墻面垂直于地面，否則他就認(rèn)為墻面不垂直于地面，這種方法說(shuō)明了什么道理？
人教A版高中數(shù)學(xué)必修一三角函數(shù)的應(yīng)用教學(xué)設(shè)計(jì)（2）
本節(jié)課是在學(xué)習(xí)了三角函數(shù)圖象和性質(zhì)的前提下來(lái)學(xué)習(xí)三角函數(shù)模型的簡(jiǎn)單應(yīng)用，進(jìn)一步突出函數(shù)來(lái)源于生活應(yīng)用于生活的思想，讓學(xué)生體驗(yàn)一些具有周期性變化規(guī)律的實(shí)際問(wèn)題的數(shù)學(xué)“建模”思想,從而培養(yǎng)學(xué)生的創(chuàng)新精神和實(shí)踐能力.課程目標(biāo)1.了解三角函數(shù)是描述周期變化現(xiàn)象的重要函數(shù)模型，并會(huì)用三角函數(shù)模型解決一些簡(jiǎn)單的實(shí)際問(wèn)題．2．實(shí)際問(wèn)題抽象為三角函數(shù)模型． 數(shù)學(xué)學(xué)科素養(yǎng)1.邏輯抽象：實(shí)際問(wèn)題抽象為三角函數(shù)模型問(wèn)題；2.數(shù)據(jù)分析：分析、整理、利用信息，從實(shí)際問(wèn)題中抽取基本的數(shù)學(xué)關(guān)系來(lái)建立數(shù)學(xué)模型； 3.數(shù)學(xué)運(yùn)算：實(shí)際問(wèn)題求解； 4.數(shù)學(xué)建模：體驗(yàn)一些具有周期性變化規(guī)律的實(shí)際問(wèn)題的數(shù)學(xué)建模思想，提高學(xué)生的建模、分析問(wèn)題、數(shù)形結(jié)合、抽象概括等能力.
第四單元《教學(xué)設(shè)計(jì)》 說(shuō)課稿 2021—2022學(xué)年統(tǒng)編版高中語(yǔ)文必修下冊(cè)
（六）說(shuō)教學(xué)策略1.專題性海量的媒介信息必須加以選擇或者整合，以項(xiàng)目為依據(jù)，進(jìn)行信息篩選，形成專題性閱讀與交流；培養(yǎng)學(xué)生對(duì)文本信息“化零為整”的能力，提升跨媒介閱讀與交流學(xué)習(xí)的充實(shí)感。2.情境化情境教學(xué)應(yīng)指向?qū)W生的應(yīng)用，建構(gòu)富有符合時(shí)代氣息的內(nèi)容，與生活經(jīng)驗(yàn)更加貼合，對(duì)學(xué)生的語(yǔ)言建構(gòu)與運(yùn)用有所提升，在情境中能夠有效地進(jìn)行交流。3.任務(wù)化以任務(wù)為導(dǎo)向的序列化學(xué)習(xí)，可以為學(xué)生構(gòu)建學(xué)習(xí)路線圖、學(xué)習(xí)框架等具體任務(wù)引導(dǎo)；或以跨媒介的認(rèn)識(shí)與應(yīng)用為任務(wù)的設(shè)置引導(dǎo)；甚至以閱讀和交流作為序列化安排的實(shí)踐引導(dǎo)。4.整合性跨媒介閱讀與交流是結(jié)合線上線下的資源，形成新的“超媒介”，也能實(shí)現(xiàn)對(duì)信息進(jìn)行“深加工”，多種媒介的信息整合只為一個(gè)核心教學(xué)內(nèi)容服務(wù)。5.互文性語(yǔ)言文字是語(yǔ)文之生命，我們是立足于語(yǔ)言文字的探討，音樂(lè)、圖像、視頻等文本與傳統(tǒng)語(yǔ)言文字文本形成互文，觸發(fā)學(xué)生對(duì)學(xué)習(xí)內(nèi)容立體化和具體化的感悟，提升學(xué)生的審美能力。
新人教版高中英語(yǔ)必修3Unit 1 Festivals and celebrations-Discovering Useful Structure教學(xué)設(shè)計(jì)
4.That was an experience that frightened everyone. →That was _____________________. 答案：1. taking 2. being discussed 3. in the reading room 4. a frightening experienceStep 6 The meaning and function of V-ing as the predicative動(dòng)詞-ing形式作表語(yǔ)，它通常位于系動(dòng)詞后面，用以說(shuō)明主語(yǔ)“是什么”或“怎么樣”一種表示主語(yǔ)的特質(zhì)、特征和狀態(tài), 其作用相當(dāng)于形容詞; 另一種具體說(shuō)明主語(yǔ)的內(nèi)容, 即主語(yǔ)等同于表語(yǔ), 兩者可互換。The music they are playing sounds so exciting. 他們演奏的音樂(lè)聽(tīng)起來(lái)令人激動(dòng)。The result is disappointing. 結(jié)果令人失望。Our job is playing all kinds of music. 我們的工作就是演奏各種音樂(lè)。Seeing is believing. 眼見(jiàn)為實(shí)。Step 7 Practice1. It is ________(amaze) that the boy is able to solve the problem so quickly.2. Buying a car is simply _______(waste) money. 3. Please stop making the noise—it’s getting ________(annoy). 4. complete the passage with the appropriate -ing form.La Tomatina is a festival that takes place in the Spanish town Bunol every August. I think many food festivals are __________ because people are just eating. however, this festival is _________ because people don't actually eat the tomatoes. Instead, they throw them at each other! the number of people ________ part in this tomato fight, can reach up to 20,000, and it is a very __________ fight that lasts for a whole hour. The _______ thing is how clean Bunol is after the tomatoes are washed away after the fight. this is because the juice form tomatoes is really good for making surfaces clean!答案：1. amazing 2. wasting 3. annoying4. boring interesting taking exciting amazing
新人教版高中英語(yǔ)必修3Unit 1 Festivals and Celebrations-Reading and Thinking教學(xué)設(shè)計(jì)
The topic of this part is “Discover the reasons for festivals and celebrations.The Listening & Speaking & Talking part aims at talking about the experiences and feelings or emotions about the festivals and celebrations. This section aims at detecting the reason why the people celebrate the festivals, the time, the places, the types and the way of celebrations. It also explains why some traditions in the old celebrations are disappearing, like the firecrackers in the big cities and some new things are appearing like the prosperity of business or commerce. 1. Students can talk about what festivals they know and the reasons and the way of celebrating them.2. Students should learn the reading skills such as the headline and get the topic sentences, the structures of articles.3. Students can understand the past, the present situation of some festival around the world and why there are some changes about them. 4. Students can have the international awareness about the festivals.1. Students should learn the reading skills such as the headline and get the topic sentences, the structures of articles.2. Students can understand the past, the present situation of some festival around the world and why there are some changes about them.Step 1 Lead in---Small talkWhat festival do you like best ? Why ?I like the Spring Festivals because I can set off the fireworks, receive the lucky money and enjoy the Gala with my families.Step 2 Before reading---Pair workWhy do people celebrate different festivals ?The Spring Festivals is to celebrate the end of winter and the coming of spring and new life.The Mid-autumn Day is to celebrate the harvest and admire the moon.
新人教版高中英語(yǔ)必修3Unit 1 Festivals and Celebrations-Listening &Speaking＆Talking教學(xué)設(shè)計(jì)
The theme of this section is “Talk about festival activities and festival experiences”.Festival and holiday is a relaxing and interesting topic for students. This part talks about the topic from the daily life of students’. In the part A ---Listening and Speaking, there are three conversations among different speakers from three countries(Japan, Rio and China), where the speakers are participating in or going to participate in the festivals and celebrations. So listening for the relationship among them is a fundamental task. Actually, with the globalization and more international communication, it is normal for Chinese or foreigners to witness different festivals and celebrations in or out of China. In the Conversation 1, a foreign reporter is interviewing a Japanese young girl who just had participated in the ceremony of the Coming-of-Age Day on the street and asking her feeling about the ceremony and the afterwards activities. Conversation 2, Chinese girl Li Mei is witnessing the Rio Carnival for the first time, and her friend Carla gives her some advice on the costumes which enables her to match with the carnival to have a good time. Conversation 3, a Chinese guide is showing a group of foreign visitors around the Lantern Festival and introducing the customs of the festival to them. The three conversations have a strong vitality and insert the festival and cultural elements from different countries. So perceiving the festivals and cultures from different countries is the second task. At the same time, the scripts also insert the targeted grammar --- v-ing as attributive and predicative, which students can perceive and experience in a real context and make a road for the further study. That is the third task. In the Part B--- Listening and Talking, the theme is “Talk about festival experience”, which is the common topic in our daily conversations. During the conversation, Song Lin, a Chinese student, asked Canadian friend Max about how to spend Christmas. In the conversation, Song Lin talked about experience and the feelings during the Chinese Spring Festival, during which there are not only some enjoyable things but some unpleasant things. After the listening, perhaps students find there are some similarities between Christmas and the Chinese Spring Festival as there are some differences in the origins and celebrations. For example, people always visit friends and relatives, decorate their houses, have a big dinner together, chat and give presents to each other.
新人教版高中英語(yǔ)必修3Unit 1 Festivals and Celebrations-Reading for writing教學(xué)設(shè)計(jì)二
Step 3 Analyzing article structureActivity 31. Teachers raise questions to guide students to analyze the chapter structure of this diary and think about how to describe the festival experience. (1)What should be included in the opening/body/closing paragraph(s)?(2)How did the writer arrange his/her ideas?(3)What kind of interesting details did the writer describe?(4)How did the writer describe his/her feelings/emotions during the event?2. Students read and compare the three sentence patterns in activity 2. Try to rewrite the first paragraph of the diary with these three sentence patterns. After that, students exchange corrections with their partners. Such as:●This was my first time spending three days experiencing the Naadam Festival in China’s Inner Mongolia Autonomous Region and it was an enjoyable and exciting experience. ●I'll never forget my experience at the Naadam Festival because it was my first time to watch the exciting Mongolian games of horse racing, wrestling, and archery so closely. ●I'll always remember my first experience at the Naadam Festival in China’s Inner Mongolia Autonomous Region because it was so amazing to spend three days witnessing a grand Mongolian ceremony. Step 4 Accumulation of statementsActivity 41. Ask the students to read the diary again. Look for sentences that express feelings and emotions, especially those with the -ing form and the past participle. Such as:● …h(huán)orse racing, wrestling, and archery, which are all so exciting to watch. ● some amazing performances● I was surprised to see…● I was a little worried about. . . ● feeling really tiredOther emotional statements:●I absolutely enjoyed the archery, too, but the horse races were my favourite part. ●I'm finally back home now, feeling really tired, but celebrating Naadam with my friend was totally worth it. ●He invited me back for the winter to stay in a traditional Mongolian tent and cat hot pot. I can’t wait!2. In addition to the use of the -ing form and the past participle, the teacher should guide the students in the appreciation of these statements, ask them to memorize them, and encourage them to use them reasonably in writing practice.
新人教版高中英語(yǔ)必修3Unit 1 Festivals and Celebrations-Reading for Writing教學(xué)設(shè)計(jì)一
The topic of this part is “Write about your festival experience”.During the Listening and Speaking and Talking, students are just asked to say out their festival experiences such as the Spring Festival, Mid-autumn Day, but this part students will be asked to write down their own festival experiences. During the reading part, it introduces the Naadam Festival in Inner Mongolia Autonomous Region, which can give students a good example to imitate. Students not only learn the festival, but touch and feel the Inner Mongolian’s character, the spirit and cultural atmosphere, which can help students form the cultural awareness and learn to enjoy and value the diversity of Chinese culture.Concretely, the dairy tells the experience that the author spent the Naadam Festival in Inner Mongolia Autonomous Region with his/her friend. The structure is clear. In the opening paragraph, it introduces the topic of the Naadam Festival and the whole feeling. Then it introduces the items of the festival like the ceremony, wrestling and horse racing. Finally, it summarizes this experience. Because this part is a travel journal, we must guide students pay more attention to these details: 1. use the first person. 2. use the past tense to tell the past thing and use the present or future tense to describe the scenery. 3. use the timeline to tell the development. 4. be careful for the author’s psychology, emotion and feeling, etc.1. Read quickly to get main idea; read carefully to get the detailed information about Naadam Festival.2. Learn the structure of the reading article and language.3. Write an article about a festival experience4. Learn to use the psychology, emotions and feeling in the writing.1. Write an article about a festival experience.2. Use the structure of the reading article and language.