二項(xiàng)式定理說課人：XXX目錄說課標(biāo)說教材說學(xué)情說教學(xué)目標(biāo)說教學(xué)重難點(diǎn)說教學(xué)方法說教學(xué)過程說板書一二三四五六七八TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE一、說課標(biāo)

用多項(xiàng)式運(yùn)算法則和計(jì)數(shù)原理證明二項(xiàng)式定理，會(huì)用二項(xiàng)式定理解決與二項(xiàng)展開式有關(guān)的簡(jiǎn)單問題。

根據(jù)多項(xiàng)式運(yùn)算法則，探索二項(xiàng)式定理的構(gòu)造性證明，體會(huì)運(yùn)算法則的作用。感知運(yùn)算是一種嚴(yán)謹(jǐn)?shù)倪壿嬐评?，通過一般的線性運(yùn)算可以發(fā)現(xiàn)和提出問題，掌握推理的基本形式和規(guī)則，探索和表述論證過程，發(fā)展數(shù)學(xué)運(yùn)算素養(yǎng)。TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE二、說教材承上啟下計(jì)數(shù)原理多項(xiàng)式運(yùn)算法則隨機(jī)變量及其分布計(jì)數(shù)原理排列組合多項(xiàng)式運(yùn)算法則三、說學(xué)情知識(shí)能力認(rèn)知能力思維活躍創(chuàng)造性強(qiáng)嚴(yán)謹(jǐn)性欠缺存在的困難計(jì)數(shù)原理運(yùn)用不熟練二項(xiàng)式定理的推導(dǎo)TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE四、說教學(xué)目標(biāo)教學(xué)目標(biāo)過程與方法情感態(tài)度與價(jià)值觀掌握二項(xiàng)式定理，能夠利用計(jì)數(shù)原理證明二項(xiàng)式定理掌握對(duì)簡(jiǎn)單二項(xiàng)式進(jìn)行展開，能夠?qū)?xiàng)的系數(shù)與二項(xiàng)式系數(shù)進(jìn)行區(qū)分，并能求出指定項(xiàng)。經(jīng)歷二項(xiàng)式定理的形成過程，培養(yǎng)觀察、分析、歸納的能力，體會(huì)歸納-猜想-論證的思想方法，發(fā)展探究能力。培養(yǎng)學(xué)生自主探究意識(shí)，合作精神，體會(huì)數(shù)學(xué)語言的簡(jiǎn)潔和嚴(yán)謹(jǐn)。知識(shí)與技能TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE四、說教學(xué)目標(biāo)學(xué)科素養(yǎng)邏輯推理數(shù)學(xué)運(yùn)算二項(xiàng)式定理運(yùn)用計(jì)數(shù)原理推導(dǎo)二項(xiàng)式定理在具體情境中運(yùn)用二項(xiàng)式定理數(shù)學(xué)抽象數(shù)學(xué)建模運(yùn)用二項(xiàng)式定理解決數(shù)學(xué)問題五、說教學(xué)重難點(diǎn)用多項(xiàng)式運(yùn)算法則和計(jì)數(shù)原理推導(dǎo)出二項(xiàng)式定理，并會(huì)用它解決有關(guān)的簡(jiǎn)單問題。用多項(xiàng)式運(yùn)算法則和計(jì)數(shù)原理推導(dǎo)二項(xiàng)式定理。重點(diǎn)難點(diǎn)六、說教學(xué)方法類比、引導(dǎo)、探索相結(jié)合教法學(xué)法觀察、討論、合作探究TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE七、說教學(xué)過程創(chuàng)設(shè)情境，初步體驗(yàn)探究歸納，發(fā)現(xiàn)規(guī)律知識(shí)建構(gòu)，形成定理知識(shí)遷移，初步應(yīng)用回顧反思，歸納總結(jié)布置作業(yè)，課后鞏固TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE七、說教學(xué)過程（一）創(chuàng)設(shè)情境，初步體驗(yàn)不積跬步，無以至千里;不積小流，無以成江海。

———荀子·《勸學(xué)篇》釋義：做事情不一點(diǎn)一點(diǎn)積累，就永遠(yuǎn)無法達(dá)成目的。【設(shè)計(jì)意圖】將數(shù)學(xué)與其他學(xué)科相聯(lián)系，增加學(xué)生的文化底蘊(yùn)。TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE七、說教學(xué)過程（一）創(chuàng)設(shè)情境，初步體驗(yàn)

把自己的起始優(yōu)秀值看成1，假設(shè)每天的努力能讓自己變得比前一天優(yōu)秀1%，對(duì)優(yōu)秀值進(jìn)行復(fù)利計(jì)算：第1天努力后優(yōu)秀值為________________;

第2天努力后優(yōu)秀值為________________;......

第365天努力后優(yōu)秀值為________________;1+0.01(1+0.01)2(1+0.01)365估算(1+0.01)365的近似值(精確到0.1)【設(shè)計(jì)意圖】從學(xué)生實(shí)際生活出發(fā)，提出問題，激發(fā)學(xué)生探索的欲望，培養(yǎng)學(xué)生數(shù)學(xué)建模的核心素養(yǎng)，告誡學(xué)生學(xué)習(xí)是一個(gè)不斷積累的過程。TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE七、說教學(xué)過程（二）探究歸納，發(fā)現(xiàn)規(guī)律

【設(shè)計(jì)意圖】引導(dǎo)學(xué)生關(guān)注完全平方公式，從學(xué)生認(rèn)知結(jié)構(gòu)特點(diǎn)出發(fā)，創(chuàng)設(shè)有助于學(xué)生理解的教學(xué)活動(dòng)。TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE七、說教學(xué)過程（二）探究歸納，發(fā)現(xiàn)規(guī)律

【設(shè)計(jì)意圖】從學(xué)生熟悉的多項(xiàng)式出發(fā)，帶領(lǐng)學(xué)生分析，有利于將多項(xiàng)式放置在摸球試驗(yàn)中，幫助學(xué)生理解多項(xiàng)式，培養(yǎng)學(xué)生的邏輯推理與數(shù)學(xué)抽象的核心素養(yǎng)。TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE七、說教學(xué)過程（二）探究歸納，發(fā)現(xiàn)規(guī)律

【設(shè)計(jì)意圖】通過前面的初步體驗(yàn)，檢驗(yàn)學(xué)生掌握情況，將課堂的主體交給學(xué)生。TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE七、說教學(xué)過程（二）探究歸納，發(fā)現(xiàn)規(guī)律

【設(shè)計(jì)意圖】經(jīng)過簡(jiǎn)單的推導(dǎo)，及時(shí)考察學(xué)生掌握情況，同時(shí)為后面推導(dǎo)做鋪墊，培養(yǎng)分析、歸納的能力，滲透邏輯推理核心素養(yǎng)。TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE七、說教學(xué)過程（三）知識(shí)建構(gòu)，形成定理

【設(shè)計(jì)意圖】本環(huán)節(jié)以問題為中心，由淺入深地引導(dǎo)學(xué)生大膽猜想。利用組合知識(shí)，充分揭示二項(xiàng)展開式的內(nèi)涵和外延。幫助學(xué)生建構(gòu)和完善自己的認(rèn)知結(jié)構(gòu)，既顯得合情合理，又科學(xué)嚴(yán)謹(jǐn)。進(jìn)一步強(qiáng)化學(xué)生的邏輯思維能力和歸納能力。TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE七、說教學(xué)過程

【設(shè)計(jì)意圖】對(duì)定理的特點(diǎn)加以說明，可使學(xué)生能熟練掌握定理的特點(diǎn)，以便今后在應(yīng)用定理解決問題時(shí)能得心應(yīng)手。（三）知識(shí)建構(gòu)，形成定理TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE七、說教學(xué)過程

【設(shè)計(jì)意圖】對(duì)二項(xiàng)式定理的簡(jiǎn)單應(yīng)用，同時(shí)也是帶領(lǐng)學(xué)生初步體驗(yàn)二項(xiàng)式定理在解決問題時(shí)的方法：賦值或是賦表達(dá)式。（三）知識(shí)建構(gòu)，形成定理TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE七、說教學(xué)過程

【設(shè)計(jì)意圖】熟悉二項(xiàng)式定理的相關(guān)概念，理解二項(xiàng)式展開式的項(xiàng)的順序，培養(yǎng)數(shù)學(xué)運(yùn)算的核心素養(yǎng)。（四）知識(shí)遷移，初步應(yīng)用TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE七、說教學(xué)過程

【設(shè)計(jì)意圖】破解疑惑讓學(xué)生感受計(jì)算的簡(jiǎn)單與快捷，增強(qiáng)對(duì)數(shù)學(xué)學(xué)習(xí)的熱情，培養(yǎng)核心素養(yǎng)。通過這兩個(gè)計(jì)算，學(xué)生體會(huì)學(xué)習(xí)是一個(gè)日積月累的過程。（四）知識(shí)遷移，初步應(yīng)用TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE七、說教學(xué)過程【設(shè)計(jì)意圖】學(xué)生通過練習(xí)，對(duì)二項(xiàng)式定理的相關(guān)概念已經(jīng)有了初步印象，通過反思，幫助學(xué)生加深印象，對(duì)易混點(diǎn)做進(jìn)一步強(qiáng)化。（四）知識(shí)遷移，初步應(yīng)用反思：1.探究展開式某一項(xiàng)時(shí)，常用什么方法？2.二項(xiàng)式系數(shù)與項(xiàng)系數(shù)是同一個(gè)概念嗎如果不是，二者的區(qū)別是什么？TEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERETEXTHERE七、說教學(xué)過程本節(jié)課你收獲了什么，二項(xiàng)式定理的公式是怎么得到的呢？【設(shè)計(jì)意圖】培養(yǎng)學(xué)生的歸納概括能力，幫助學(xué)生構(gòu)建本節(jié)課的知識(shí)體系，及時(shí)反思本堂課的目標(biāo)是否實(shí)現(xiàn)，引導(dǎo)學(xué)生課后復(fù)習(xí)。（五）回顧反思，歸納總結(jié)TEXTHERETEXTHERETEXTHERETEXT