人教版四年級(jí)數(shù)學(xué)上冊(cè)知識(shí)點(diǎn)梳理1

人教版四年級(jí)數(shù)學(xué)(上冊(cè))知識(shí)點(diǎn)梳理(1)人教版四年級(jí)(上冊(cè))知識(shí)點(diǎn)梳理villagetemplesCentralOfficeeveryday,carryouttheirduties.CorrespondencerelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmonths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeople,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujiangGovernmentestablishedoneyearstoofworkreport.TurnbackandforthmonthShanRoad,apartfromtheSecretary,Mrrankfootdiseaseimmobility,bamboocarinsteadofwalkingoutside,squarefoot(exceptformyselfand4guards),thewuxing,peace,SIan,Guangde,doorwayswing,ZhangZhutothedestination--wearingBu.Atdiweitotheimportanttownsoftroopsisdifficulttoaccess,wehavetochangeangles,Shanruggedtrails,Sunandrainontheway,hardshipexceptions,ifthepatrioticandpassionsofthewar,thanthesuccessfulcompletionoftasks.Anoldfrail,rank,long-distanceLawtonregrets,admirable!InNovember1939,IwasadmittedtotheFacultyoflaw,CollegeoflawandpoliticsinShanghai,butresignedfromthepostoffice,bidfarewelltothisshortandmemorablelife.(J)thesiazhenboatburiedJapanesemorningofOctober18,1937,siazhensicktoshunTangQiao-cutters,1fromNanxuntownjiaxingtoJapaneseboats,caughtdraggingbehind3smallboats,loadedwithmilitarygoods.Siazhentoolatetoescape,jumpedashoreJapancatchupwiththeboat,forcinghimtorowaboat.MeanwhilecaughtthemigrantsvillageZhangShun.Siazhenwassickforalongtime,數(shù)與代數(shù)(數(shù)的認(rèn)識(shí)):第一單元大數(shù)的認(rèn)識(shí)本單元的知識(shí)鏈接:數(shù)的認(rèn)識(shí)整數(shù)的認(rèn)識(shí)分?jǐn)?shù)的認(rèn)識(shí)小數(shù)的認(rèn)識(shí)一年級(jí)上冊(cè)三年級(jí)上冊(cè)三年級(jí)下冊(cè)20以內(nèi)數(shù)的認(rèn)識(shí)分?jǐn)?shù)的初步認(rèn)識(shí)小數(shù)的初步認(rèn)識(shí)一年級(jí)下冊(cè)五年級(jí)下冊(cè)四年級(jí)下冊(cè)100以內(nèi)數(shù)的認(rèn)識(shí)分?jǐn)?shù)的意義和性質(zhì)小數(shù)的意義和性質(zhì)二年級(jí)下冊(cè)六年級(jí)上冊(cè)萬以內(nèi)數(shù)的認(rèn)識(shí)百分?jǐn)?shù)的認(rèn)識(shí)四年級(jí)上冊(cè)大數(shù)的認(rèn)識(shí)villagetemplesCentralOfficeeveryday,carryouttheirduties.CorrespondencerelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmonths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeople,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujiangGovernmentestablishedoneyearstoofworkreport.TurnbackandforthmonthShanRoad,apartfromtheSecretary,Mrrankfootdiseaseimmobility,bamboocarinsteadofwalkingoutside,squarefoot(exceptformyselfand4guards),thewuxing,peace,SIan,Guangde,doorwayswing,ZhangZhutothedestination--wearingBu.Atdiweitotheimportanttownsoftroopsisdifficulttoaccess,wehavetochangeangles,Shanruggedtrails,Sunandrainontheway,hardshipexceptions,ifthepatrioticandpassionsofthewar,thanthesuccessfulcompletionoftasks.Anoldfrail,rank,long-distanceLawtonregrets,admirable!InNovember1939,IwasadmittedtotheFacultyoflaw,CollegeoflawandpoliticsinShanghai,butresignedfromthepostoffice,bidfarewelltothisshortandmemorablelife.(J)thesiazhenboatburiedJapanesemorningofOctober18,1937,siazhensicktoshunTangQiao-cutters,1fromNanxuntownjiaxingtoJapaneseboats,caughtdraggingbehind3smallboats,loadedwithmilitarygoods.Siazhentoolatetoescape,jumpedashoreJapancatchupwiththeboat,forcinghimtorowaboat.MeanwhilecaughtthemigrantsvillageZhangShun.Siazhenwassickforalongtime,本單元知識(shí)點(diǎn):(初步感知逐步感知系統(tǒng)感知)認(rèn)識(shí)較大的計(jì)數(shù)單位明確相鄰計(jì)數(shù)單位間的進(jìn)率數(shù)數(shù)認(rèn)識(shí)數(shù)位及數(shù)級(jí)理解計(jì)數(shù)單位與數(shù)位的區(qū)別結(jié)合數(shù)位順序表認(rèn)識(shí)較大的數(shù)知識(shí)點(diǎn)一般數(shù)的讀法計(jì)數(shù)單位讀法中間有零的數(shù)的讀法數(shù)值末尾有零的數(shù)的讀法數(shù)級(jí)一般數(shù)的寫法相鄰兩個(gè)單大數(shù)的寫法寫出最大最小的數(shù)位間的進(jìn)率寫出特定讀法的數(shù)十進(jìn)制計(jì)數(shù)法把整萬(或整億)的數(shù)改寫寫法成用“萬”(或“億”)作單第一單元位的數(shù)大數(shù)的認(rèn)識(shí)大數(shù)的改寫把非整萬(或非整億)的數(shù)用“四舍五入”法改寫成用“萬”(或“億”)作單位的數(shù)的近似數(shù)位數(shù)不同的兩個(gè)數(shù)大小比較比較位數(shù)相同的兩個(gè)數(shù)大小比較古代人們的計(jì)數(shù)方法數(shù)的產(chǎn)生古今中外各國(guó)的數(shù)字比較認(rèn)識(shí)自然數(shù)算盤認(rèn)識(shí)計(jì)算工具計(jì)算器了解計(jì)算工具計(jì)算機(jī)應(yīng)用計(jì)算器進(jìn)行計(jì)算探索規(guī)律villagetemplesCentralOfficeeveryday,carryouttheirduties.CorrespondencerelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmonths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeople,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujiangGovernmentestablishedoneyearstoofworkreport.TurnbackandforthmonthShanRoad,apartfromtheSecretary,Mrrankfootdiseaseimmobility,bamboocarinsteadofwalkingoutside,squarefoot(exceptformyselfand4guards),thewuxing,peace,SIan,Guangde,doorwayswing,ZhangZhutothedestination--wearingBu.Atdiweitotheimportanttownsoftroopsisdifficulttoaccess,wehavetochangeangles,Shanruggedtrails,Sunandrainontheway,hardshipexceptions,ifthepatrioticandpassionsofthewar,thanthesuccessfulcompletionoftasks.Anoldfrail,rank,long-distanceLawtonregrets,admirable!InNovember1939,IwasadmittedtotheFacultyoflaw,CollegeoflawandpoliticsinShanghai,butresignedfromthepostoffice,bidfarewelltothisshortandmemorablelife.(J)thesiazhenboatburiedJapanesemorningofOctober18,1937,siazhensicktoshunTangQiao-cutters,1fromNanxuntownjiaxingtoJapaneseboats,caughtdraggingbehind3smallboats,loadedwithmilitarygoods.Siazhentoolatetoescape,jumpedashoreJapancatchupwiththeboat,forcinghimtorowaboat.MeanwhilecaughtthemigrantsvillageZhangShun.Siazhenwassickforalongtime,數(shù)與代數(shù)(數(shù)的運(yùn)算)第三單元三位數(shù)乘兩位數(shù)第四單元除數(shù)是兩位數(shù)的除法這兩個(gè)單元的知識(shí)鏈接:數(shù)的運(yùn)算加法和減法乘法除法一年級(jí)上冊(cè)二年級(jí)上冊(cè)二年級(jí)下冊(cè)20以內(nèi)的加減法乘法初步認(rèn)識(shí)(表內(nèi)乘法)除法初步認(rèn)識(shí)(表內(nèi)除法)一年級(jí)下冊(cè)三年級(jí)上冊(cè)三年級(jí)上冊(cè)100以內(nèi)的加減法(一)多位數(shù)乘一位數(shù)有余數(shù)的除法二年級(jí)上冊(cè)三年級(jí)下冊(cè)三年級(jí)下冊(cè)100以內(nèi)的加減法(二)兩位數(shù)乘兩位數(shù)除數(shù)是一位數(shù)的除法二年級(jí)下冊(cè)四年級(jí)上冊(cè)四年級(jí)上冊(cè)萬以內(nèi)的加減法(一)三位數(shù)乘兩位數(shù)除數(shù)是兩位數(shù)的除法三年級(jí)上冊(cè)五年級(jí)上冊(cè)五年級(jí)上冊(cè)萬以內(nèi)的加減法(二)小數(shù)乘法小數(shù)除法四年級(jí)下冊(cè)六年級(jí)上冊(cè)六年級(jí)上冊(cè)小數(shù)的加減法分?jǐn)?shù)乘法分?jǐn)?shù)除法五年級(jí)下冊(cè)分?jǐn)?shù)的加減法villagetemplesCentralOfficeeveryday,carryouttheirduties.CorrespondencerelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmonths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeople,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujiangGovernmentestablishedoneyearstoofworkreport.TurnbackandforthmonthShanRoad,apartfromtheSecretary,Mrrankfootdiseaseimmobility,bamboocarinsteadofwalkingoutside,squarefoot(exceptformyselfand4guards),thewuxing,peace,SIan,Guangde,doorwayswing,ZhangZhutothedestination--wearingBu.Atdiweitotheimportanttownsoftroopsisdifficulttoaccess,wehavetochangeangles,Shanruggedtrails,Sunandrainontheway,hardshipexceptions,ifthepatrioticandpassionsofthewar,thanthesuccessfulcompletionoftasks.Anoldfrail,rank,long-distanceLawtonregrets,admirable!InNovember1939,IwasadmittedtotheFacultyoflaw,CollegeoflawandpoliticsinShanghai,butresignedfromthepostoffice,bidfarewelltothisshortandmemorablelife.(J)thesiazhenboatburiedJapanesemorningofOctober18,1937,siazhensicktoshunTangQiao-cutters,1fromNanxuntownjiaxingtoJapaneseboats,caughtdraggingbehind3smallboats,loadedwithmilitarygoods.Siazhentoolatetoescape,jumpedashoreJapancatchupwiththeboat,forcinghimtorowaboat.MeanwhilecaughtthemigrantsvillageZhangShun.Siazhenwassickforalongtime,第三單元的知識(shí)點(diǎn):兩位數(shù)乘一位數(shù)(積在100以內(nèi))口算幾百幾十的數(shù)乘一位數(shù)因數(shù)中間、末尾沒有0的乘法筆算方法因數(shù)中間、末尾有0的乘法支撐的理解速度的概念知識(shí)點(diǎn):會(huì)用復(fù)合單位表速度的概念乘法示速度口訣筆算解決實(shí)會(huì)讀速度際問題速度、時(shí)間和路程之間的關(guān)系加法第三單元三位數(shù)乘兩位數(shù)單價(jià)、數(shù)量和總價(jià)之間的關(guān)系位值一個(gè)因數(shù)不變，另一個(gè)因數(shù)擴(kuò)大數(shù)值幾倍，積也隨著擴(kuò)大幾倍。積的變化一個(gè)因數(shù)不變，另一個(gè)因數(shù)縮小規(guī)律幾倍，積也隨著縮小幾倍。一個(gè)因數(shù)擴(kuò)大幾倍，另一個(gè)因數(shù)縮小相同的倍數(shù)，積不變。一般的估算方法:將其中一個(gè)因數(shù)或兩個(gè)因數(shù)“四舍五入”成相近的整十、整百數(shù)，簡(jiǎn)化計(jì)算估算用估算解決實(shí)際問題:在解決問題中，題目的條件常常會(huì)給估算帶來限制，要分清什么時(shí)候只能估大，什么時(shí)候只能估小。第四單元的知識(shí)點(diǎn):用整十?dāng)?shù)除整十、幾百幾十支撐的口算兩位數(shù)除兩位數(shù)的估算知識(shí)點(diǎn)估算兩位數(shù)除三位數(shù)的估算數(shù)值兩位數(shù)除兩位數(shù)商是一位數(shù)第五單元位值兩位數(shù)除三位數(shù)除數(shù)是兩位筆算數(shù)的除法商是兩位數(shù)(兩位數(shù)除三位數(shù))乘法口訣商隨除數(shù)或被除數(shù)變化的規(guī)律商的變化規(guī)律減法商不變規(guī)律估算的方法估算用估算解決實(shí)際問題villagetemplesCentralOfficeeveryday,carryouttheirduties.CorrespondencerelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmonths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeople,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujiangGovernmentestablishedoneyearstoofworkreport.TurnbackandforthmonthShanRoad,apartfromtheSecretary,Mrrankfootdiseaseimmobility,bamboocarinsteadofwalkingoutside,squarefoot(exceptformyselfand4guards),thewuxing,peace,SIan,Guangde,doorwayswing,ZhangZhutothedestination--wearingBu.Atdiweitotheimportanttownsoftroopsisdifficulttoaccess,wehavetochangeangles,Shanruggedtrails,Sunandrainontheway,hardshipexceptions,ifthepatrioticandpassionsofthewar,thanthesuccessfulcompletionoftasks.Anoldfrail,rank,long-distanceLawtonregrets,admirable!InNovember1939,IwasadmittedtotheFacultyoflaw,CollegeoflawandpoliticsinShanghai,butresignedfromthepostoffice,bidfarewelltothisshortandmemorablelife.(J)thesiazhenboatburiedJapanesemorningofOctober18,1937,siazhensicktoshunTangQiao-cutters,1fromNanxuntownjiaxingtoJapaneseboats,caughtdraggingbehind3smallboats,loadedwithmilitarygoods.Siazhentoolatetoescape,jumpedashoreJapancatchupwiththeboat,forcinghimtorowaboat.MeanwhilecaughtthemigrantsvillageZhangShun.Siazhenwassickforalongtime,數(shù)與代數(shù)(探索規(guī)律):第七單元數(shù)學(xué)廣角本單元的知識(shí)鏈接:本單元的知識(shí)點(diǎn):數(shù)學(xué)廣角烙餅問題沏茶問題運(yùn)籌思想二年級(jí)上冊(cè)卸貨問題排列和組合第七單元數(shù)學(xué)廣角就診問題對(duì)策論的應(yīng)用田忌賽馬三年級(jí)上冊(cè)排列和組合三年級(jí)下冊(cè)重疊問題四年級(jí)上冊(cè)運(yùn)籌思想和對(duì)策論四年級(jí)下冊(cè)植樹問題四年級(jí)下冊(cè)五年級(jí)上冊(cè)數(shù)字編碼五年級(jí)下冊(cè)找次品六年級(jí)上冊(cè)雞兔同籠六年級(jí)下冊(cè)抽屜原理villagetemplesCentralOfficeeveryday,carryouttheirduties.CorrespondencerelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmonths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeople,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujiangGovernmentestablishedoneyearstoofworkreport.TurnbackandforthmonthShanRoad,apartfromtheSecretary,Mrrankfootdiseaseimmobility,bamboocarinsteadofwalkingoutside,squarefoot(exceptformyselfand4guards),thewuxing,peace,SIan,Guangde,doorwayswing,ZhangZhutothedestination--wearingBu.Atdiweitotheimportanttownsoftroopsisdifficulttoaccess,wehavetochangeangles,Shanruggedtrails,Sunandrainontheway,hardshipexceptions,ifthepatrioticandpassionsofthewar,thanthesuccessfulcompletionoftasks.Anoldfrail,rank,long-distanceLawtonregrets,admirable!InNovember1939,IwasadmittedtotheFacultyoflaw,CollegeoflawandpoliticsinShanghai,butresignedfromthepostoffice,bidfarewelltothisshortandmemorablelife.(J)thesiazhenboatburiedJapanesemorningofOctober18,1937,siazhensicktoshunTangQiao-cutters,1fromNanxuntownjiaxingtoJapaneseboats,caughtdraggingbehind3smallboats,loadedwithmilitarygoods.Siazhentoolatetoescape,jumpedashoreJapancatchupwiththeboat,forcinghimtorowaboat.MeanwhilecaughtthemigrantsvillageZhangShun.Siazhenwassickforalongtime,空間與圖形第二單元角的度量第四單元平行四邊形和梯形的認(rèn)識(shí)這兩個(gè)單元的知識(shí)鏈接:空間與圖形平面圖形立體圖形一年級(jí)上冊(cè)封閉的圖形開放的圖形認(rèn)識(shí)物體一年級(jí)上冊(cè)二年級(jí)上冊(cè)五年級(jí)下冊(cè)認(rèn)識(shí)圖形(特殊的圖形)長(zhǎng)度單位(線段的初步認(rèn)識(shí))長(zhǎng)方體和正方體三年級(jí)上冊(cè)二年級(jí)上冊(cè)六年級(jí)下冊(cè)四邊形的認(rèn)識(shí)(周長(zhǎng))角的初步認(rèn)識(shí)(直角)圓柱和圓錐二年級(jí)下冊(cè)四年級(jí)上冊(cè)圖形與變換(銳角、直角、平行四邊形和梯形的認(rèn)識(shí)鈍角的認(rèn)識(shí))四年級(jí)下冊(cè)三角形的認(rèn)識(shí)四年級(jí)上冊(cè)角的度量(射線、直線的認(rèn)識(shí))五年級(jí)上冊(cè)多邊形的面積六年級(jí)上冊(cè)圓的認(rèn)識(shí)、周長(zhǎng)、面積villagetemplesCentralOfficeeveryday,carryouttheirduties.CorrespondencerelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmonths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeople,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujiangGovernmentestablishedoneyearstoofworkreport.TurnbackandforthmonthShanRoad,apartfromtheSecretary,Mrrankfootdiseaseimmobility,bamboocarinsteadofwalkingoutside,squarefoot(exceptformyselfand4guards),thewuxing,peace,SIan,Guangde,doorwayswing,ZhangZhutothedestination--wearingBu.Atdiweitotheimportanttownsoftroopsisdifficulttoaccess,wehavetochangeangles,Shanruggedtrails,Sunandrainontheway,hardshipexceptions,ifthepatrioticandpassionsofthewar,thanthesuccessfulcompletionoftasks.Anoldfrail,rank,long-distanceLawtonregrets,admirable!InNovember1939,IwasadmittedtotheFacultyoflaw,CollegeoflawandpoliticsinShanghai,butresignedfromthepostoffice,bidfarewelltothisshortandmemorablelife.(J)thesiazhenboatburiedJapanesemorningofOctober18,1937,siazhensicktoshunTangQiao-cutters,1fromNanxuntownjiaxingtoJapaneseboats,caughtdraggingbehind3smallboats,loadedwithmilitarygoods.Siazhentoolatetoescape,jumpedashoreJapancatchupwiththeboat,forcinghimtorowaboat.MeanwhilecaughtthemigrantsvillageZhangShun.Siazhenwassickforalongtime,空間與圖形(開放圖形、測(cè)量):第二單元角的度量的知識(shí)點(diǎn):認(rèn)識(shí)射線認(rèn)識(shí)直線線直線、射線、線段的聯(lián)系與區(qū)別畫射線和直線角的定義(各部分的名稱)角的定義第二單元表示角的符合及表示方法角的度量認(rèn)識(shí)量角器角的計(jì)量單位角的度量角的度量方法比較角的大小角認(rèn)識(shí)平角和周角周角和平角的關(guān)系平角和周角平角和周角的畫法角的分類生活中的平角和周角銳角、直角、鈍角、平角和周角之間的關(guān)系用量角器畫角角的畫法用三角板畫角villagetemplesCentralOfficeeveryday,carryouttheirduties.CorrespondencerelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmonths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeople,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujiangGovernmentestablishedoneyearstoofworkreport.TurnbackandforthmonthShanRoad,apartfromtheSecretary,Mrrankfootdiseaseimmobility,bamboocarinsteadofwalkingoutside,squarefoot(exceptformyselfand4guards),thewuxing,peace,SIan,Guangde,doorwayswing,ZhangZhutothedestination--wearingBu.Atdiweitotheimportanttownsoftroopsisdifficulttoaccess,wehavetochangeangles,Shanruggedtrails,Sunandrainontheway,hardshipexceptions,ifthepatrioticandpassionsofthewar,thanthesuccessfulcompletionoftasks.Anoldfrail,rank,long-distanceLawtonregrets,admirable!InNovember1939,IwasadmittedtotheFacultyoflaw,CollegeoflawandpoliticsinShanghai,butresignedfromthepostoffice,bidfarewelltothisshortandmemorablelife.(J)thesiazhenboatburiedJapanesemorningofOctober18,1937,siazhensicktoshunTangQiao-cutters,1fromNanxuntownjiaxingtoJapaneseboats,caughtdraggingbehind3smallboats,loadedwithmilitarygoods.Siazhentoolatetoescape,jumpedashoreJapancatchupwiththeboat,forcinghimtorowaboat.MeanwhilecaughtthemigrantsvillageZhangShun.Siazhenwassickforalongtime,空間與圖形(封閉圖形、圖形與位置)第四單元平行四邊形和梯形的認(rèn)識(shí)的知識(shí)點(diǎn):理解平行與垂直的概念過直線上一點(diǎn)畫這條直線的垂線垂線的畫法過直線外一點(diǎn)畫這條直線的垂線垂直與平行點(diǎn)到直線的距離畫法平行線的畫法畫平行線的應(yīng)用(平行線間的距離第四單元處處相等，畫長(zhǎng)方形)平行四邊形定義和梯形各部分的名稱平行四邊形特征特征定義梯形平行四邊形和梯形各部分的名高的畫法稱四邊形之間的關(guān)系villagetemplesCentralOfficeeveryday,carryouttheirduties.CorrespondencerelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmonths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeople,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujiangGovernmentestablishedoneyearstoofworkreport.TurnbackandforthmonthShanRoad,apartfromtheSecretary,Mrrankfootdiseaseimmobility,bamboocarinsteadofwalkingoutside,squarefoot(exceptformyselfand4guards),thewuxing,peace,SIan,Guangde,doorwayswing,ZhangZhutothedestination--wearingBu.Atdiweitotheimportanttownsoftroopsisdifficulttoaccess,wehavetochangeangles,Shanruggedtrails,Sunandrainontheway,hardshipexceptions,ifthepatrioticandpassionsofthewar,thanthesuccessfulcompletionoftasks.Anoldfrail,rank,long-distanceLawtonregrets,admirable!InNovember1939,IwasadmittedtotheFacultyoflaw,CollegeoflawandpoliticsinShanghai,butresignedfromthepostoffice,bidfarewelltothisshortandmemorablelife.(J)thesiazhenboatburiedJapanesemorningofOctober18,1937,siazhensicktoshunTangQiao-cutters,1fromNanxuntownjiaxingtoJapaneseboats,caughtdraggingbehind3smallboats,loadedwithmilitarygoods.Siazhentoolatetoescape,jumpedashoreJapancatchupwiththeboat,forcinghimtorowaboat.MeanwhilecaughtthemigrantsvillageZhangShun.Siazhenwassickforalongtime,統(tǒng)計(jì)與概率第六單元復(fù)式條形統(tǒng)計(jì)圖。本單元的知識(shí)鏈接:統(tǒng)計(jì)一年級(jí)下冊(cè)統(tǒng)計(jì)的初步認(rèn)識(shí)(收集和整理數(shù)據(jù)、統(tǒng)計(jì)表的初步認(rèn)識(shí))二年級(jí)上冊(cè)條形統(tǒng)計(jì)圖的初步認(rèn)識(shí)二年級(jí)下冊(cè)單式條形統(tǒng)計(jì)圖和復(fù)式統(tǒng)計(jì)表三年級(jí)下冊(cè)統(tǒng)計(jì)(簡(jiǎn)單的數(shù)據(jù)分析和平均數(shù))四年級(jí)上冊(cè)復(fù)式條形統(tǒng)計(jì)圖四年級(jí)下冊(cè)單式折線統(tǒng)計(jì)圖五年級(jí)上冊(cè)統(tǒng)計(jì)與可能性五年級(jí)下冊(cè)復(fù)式折線統(tǒng)計(jì)圖和統(tǒng)計(jì)量眾數(shù)和中位數(shù)六年級(jí)上冊(cè)扇形統(tǒng)計(jì)圖六年級(jí)下冊(cè)統(tǒng)計(jì)(綜合應(yīng)用)villagetemplesCentralOfficeeveryday,carryouttheirduties.CorrespondencerelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmonths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeople,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujiangGovernmentestablishedoneyearstoofworkreport.TurnbackandforthmonthShanRoad,apartfromtheSecretary,Mrrankfootdiseaseimmobility,bamboocarinsteadofwalkingoutside,squarefoot(exceptformyselfand4guards),thewuxing,peace,SIan,Guangde,doorwayswing,ZhangZhutothedestination--wearingBu.Atdiweitotheimportanttownsoftroopsisdifficulttoaccess,wehavetochangeangles,Shanruggedtrails,Sunandrainontheway,hardshipexceptions,ifthepatrioticandpassionsofthewar,thanthesuccessfulcompletionoftasks.Anoldfrail,rank,long-distanceLawtonregrets,admirable!InNovember1939,IwasadmittedtotheFacultyoflaw,CollegeoflawandpoliticsinShanghai,butresignedfromthepostoffice,bidfarewelltothisshortandmemorablelife.(J)thesiazhenboatburiedJapanesemorningofOctober18,1937,siazhensicktoshunTangQiao-cutters,1fromNanxuntownjiaxingtoJapaneseboats,caughtdraggingbehind3smallboats,loadedwithmilitarygoods.Siazhentoolatetoescape,jumpedashoreJapancatchupwiththeboat,forcinghimtorowaboat.MeanwhilecaughtthemigrantsvillageZhangShun.Siazhenwassickforalongtime,本單元的知識(shí)點(diǎn):繪制縱向復(fù)式條形統(tǒng)計(jì)圖縱向復(fù)式條根據(jù)統(tǒng)計(jì)圖分析數(shù)據(jù)，獲取形統(tǒng)計(jì)圖信息。第六單元統(tǒng)計(jì)復(fù)式條形統(tǒng)計(jì)圖繪制橫向復(fù)式條形統(tǒng)計(jì)圖橫向復(fù)式條形統(tǒng)計(jì)圖根據(jù)統(tǒng)計(jì)圖分析數(shù)據(jù)，獲取信息。實(shí)踐與綜合應(yīng)用:1億有多大、你寄過賀卡嗎知識(shí)點(diǎn):猜想1億有多大實(shí)驗(yàn)感知1億有多大一億有多大推理感知1億有多大對(duì)照感知1億有多大閱讀材料發(fā)表感言發(fā)現(xiàn)問題進(jìn)行調(diào)查對(duì)統(tǒng)計(jì)量的應(yīng)用你寄過賀卡嗎分析問題解決開放性的問題節(jié)約用紙。解決問題拯救森林。villagetemplesCentralOfficeeveryday,carryouttheirduties.CorrespondencerelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmonths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeople,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujiangGovernmentestablishedoneyearstoofworkreport.TurnbackandforthmonthShanRoad,apartfromtheSecretary,Mrrankfootdiseaseimmobility,bamboocarinsteadofwalkingoutside,squarefoot(exceptformyselfand4guards),thewuxing,peace,SIan,Guangde,doorwayswing,ZhangZhutothedestination--wearingBu.Atdiweitotheimportanttownsoftroopsisdifficulttoaccess,wehavetochangeangles,Shanruggedtrails,Sunandrainontheway,hardshipexceptions,ifthepatrioticandpassionsofthewar,thanthesuccessfulcompletionoftasks.Anoldfrail,rank,long-distanceLawtonregrets,admirable!InNovember1939,IwasadmittedtotheFacultyoflaw,CollegeoflawandpoliticsinShanghai,butresignedfromthepostoffice,bidfarewelltothisshortandmemorablelife.(J)thesiazhenboatburiedJapanesemorningofOctober18,1937,siazhensicktoshunTangQiao-cutters,1fromNanxuntownjiaxingtoJapaneseboats,caughtdraggingbehind3smallboats,loadedwithmilitarygoods.Siazhentoolatetoescape,jumpedashoreJapancatchupwiththeboat,forcinghimtorowaboat.MeanwhilecaughtthemigrantsvillageZhangShun.Siazhenwassickforalongtime,一,本冊(cè)教材內(nèi)容安排及特點(diǎn):本冊(cè)共有八章，第一單元大數(shù)的認(rèn)識(shí)。第二單元角的度量。第三單元三位數(shù)乘兩位數(shù)。第四單元平行四邊形和梯形。第五單元除數(shù)是兩位數(shù)的除數(shù)第六單元統(tǒng)計(jì)。第七單元數(shù)學(xué)廣角。第八單元總復(fù)習(xí)。教材的主要特點(diǎn)本單元是在學(xué)習(xí)了角的度量的基礎(chǔ)上教學(xué)的，它著重給出了平行四邊形的特征以及它與正方形、長(zhǎng)方形的關(guān)系，梯形在這里是首次出現(xiàn)，教學(xué)時(shí)除教學(xué)梯形的特征外，還應(yīng)注意它與平行四邊形的聯(lián)系和區(qū)。除數(shù)是兩位數(shù)的除法，是小學(xué)學(xué)習(xí)整數(shù)除法的最后階段，本單元的教學(xué)關(guān)鍵是引導(dǎo)學(xué)生掌握試商方法，這也是本單元教學(xué)難點(diǎn)，三位數(shù)乘兩位整數(shù)，是乘法的最后一個(gè)知識(shí)板塊，它是在學(xué)生掌握了兩位數(shù)乘兩位整數(shù)乘法數(shù)的計(jì)算方法的基礎(chǔ)上進(jìn)行教學(xué)的。學(xué)生在小學(xué)低段已經(jīng)初步體驗(yàn)了數(shù)據(jù)的收集、整理、描述和分析的過程，本單元是在已有知識(shí)和經(jīng)驗(yàn)的基礎(chǔ)上，讓學(xué)生進(jìn)一步體驗(yàn)這一過程。同時(shí)認(rèn)識(shí)兩種復(fù)式條形統(tǒng)計(jì)圖，并能對(duì)數(shù)據(jù)進(jìn)行分析，從而作出合理判斷和決策。教學(xué)時(shí)要注意以下兩點(diǎn):學(xué)生在低段已學(xué)會(huì)利用統(tǒng)計(jì)結(jié)果進(jìn)行合理的判斷、預(yù)測(cè)和決策，能初步理解統(tǒng)計(jì)在現(xiàn)實(shí)生活中的作用，本單元教學(xué)，教師要注意結(jié)合實(shí)際情境，使學(xué)生理解在日常生活中為什么要運(yùn)用復(fù)式條形統(tǒng)計(jì)圖，進(jìn)一步體會(huì)統(tǒng)計(jì)的意義。二,課標(biāo)對(duì)教學(xué)的總要求:1、應(yīng)通過解決實(shí)際問題進(jìn)一步培養(yǎng)學(xué)生的數(shù)感，增進(jìn)學(xué)生對(duì)運(yùn)算意義的理解;應(yīng)重視口算，加強(qiáng)估算，鼓勵(lì)算法多樣化;應(yīng)是學(xué)生經(jīng)歷從實(shí)際問題中抽象出數(shù)量關(guān)系，并運(yùn)用所學(xué)知識(shí)解決問題的過程;應(yīng)避免繁雜的運(yùn)算，避免將運(yùn)算與應(yīng)用割裂開來，避免對(duì)應(yīng)用題進(jìn)行程式化訓(xùn)練。2、應(yīng)注重使學(xué)生探索現(xiàn)實(shí)世界中的問題;應(yīng)注重使學(xué)生通過觀察、操作、推理等手段住不認(rèn)識(shí)簡(jiǎn)單的幾何圖形的形狀、大小、位置關(guān)系及變換;應(yīng)注重通過觀察物體、認(rèn)識(shí)方向、只做模型、設(shè)計(jì)圖案等活動(dòng)，發(fā)張學(xué)生的空間觀念。villagetemplesCentralOfficeeveryday,carryouttheirduties.CorrespondencerelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmonths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeople,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujiangGovernmentestablishedoneyearstoofworkreport.TurnbackandforthmonthShanRoad,apartfromtheSecretary,Mrrankfootdiseaseimmobility,bamboocarinsteadofwalkingoutside,squarefoot(exceptformyselfand4guards),thewuxing,peace,SIan,Guangde,doorwayswing,ZhangZhutothedestination--wearingBu.Atdiweitotheimportanttownsoftroopsisdifficulttoaccess,wehavetochangeangles,Shanruggedtrails,Sunandrainontheway,hardshipexceptions,ifthepatrioticandpassionsofthewar,thanthesuccessfulcompletionoftasks.Anoldfrail,rank,long-distanceLawtonregrets,admirable!InNovember1939,IwasadmittedtotheFacultyoflaw,CollegeoflawandpoliticsinShanghai,butresignedfromthepostoffice,bidfarewelltothisshortandmemorablelife.(J)thesiazhenboatburiedJapanesemorningofOctober18,1937,siazhensicktoshunTangQiao-cutters,1fromNanxuntownjiaxingtoJapaneseboats,caughtdraggingbehind3smallboats,loadedwithmilitarygoods.Siazhentoolatetoescape,jumpedashoreJapancatchupwiththeboat,forcinghimtorowaboat.MeanwhilecaughtthemigrantsvillageZhangShun.Siazhenwassickforalongtime,3、應(yīng)注重學(xué)生所學(xué)的內(nèi)容與現(xiàn)實(shí)生活的密切聯(lián)系;應(yīng)注重學(xué)生有意識(shí)的經(jīng)歷簡(jiǎn)單的數(shù)據(jù)統(tǒng)計(jì)過程，根據(jù)簡(jiǎn)單的數(shù)據(jù)統(tǒng)計(jì)過程作出簡(jiǎn)單的判斷與預(yù)測(cè)，并能進(jìn)行交流;應(yīng)注重在具體的情境中對(duì)可能性的體驗(yàn)，因避免單純的統(tǒng)計(jì)量的計(jì)算。應(yīng)引導(dǎo)學(xué)生從不同角度發(fā)現(xiàn)實(shí)際問題仲所包含的豐富的數(shù)學(xué)信息，探索多種解決問題地方法，并鼓勵(lì)學(xué)生唱是獨(dú)立的解決木屑簡(jiǎn)單的實(shí)際問題。三,教學(xué)的主要知識(shí)及結(jié)構(gòu):1、經(jīng)歷從現(xiàn)實(shí)生活中抽閑出書既簡(jiǎn)單的數(shù)量關(guān)系，認(rèn)識(shí)億以內(nèi)的數(shù)。2、建立幾何表象，通過畫射線、直線、測(cè)量角、操作活動(dòng)角，用三角板拼角，會(huì)用量角器量角、畫指定度數(shù)的角。3、探索平行四邊形的特征以及它與正方形、長(zhǎng)方形的關(guān)系，梯形的特征。4、除數(shù)是兩位數(shù)的除法，商是兩位數(shù)，讓學(xué)生將除的過程，試商方法遷移類推至此。培養(yǎng)學(xué)生的類推遷移能力。為了解決試商這個(gè)關(guān)鍵問題，可以分兩個(gè)層次組織教學(xué)，(1)商是一位數(shù)，主要解決商的書寫位置，除的順序，突出基本的試商方法，幫助學(xué)生理解算理;(2)商是兩位數(shù)，讓學(xué)生將除的過程，試商方法遷移類推至此5、經(jīng)理收集數(shù)據(jù)、整理、描述和分析數(shù)據(jù)的過程，掌握一些數(shù)據(jù)處理技能;四,學(xué)法及能力培養(yǎng)的主要方向:1、讓學(xué)生在現(xiàn)實(shí)情境中體驗(yàn)和理解數(shù)學(xué)，發(fā)展用數(shù)學(xué)進(jìn)行交流、解決問題的能力幫助學(xué)生理解除數(shù)是兩位數(shù)的除在教學(xué)中應(yīng)注意放手讓學(xué)生通過自主探索、親身實(shí)踐、合作交流等活動(dòng).2、自行總結(jié)掌握口算、筆算、估算的一般方法，鼓勵(lì)算法多樣化，并盡可能選擇多種算法中較優(yōu)化的一種，采用合理、簡(jiǎn)潔、靈活的方法進(jìn)行計(jì)算，并注重學(xué)生的知識(shí)遷移能力的法算理，主要解決商的書寫位置，除的順序，突出基本的試商方法.3、培養(yǎng)學(xué)學(xué)生用數(shù)學(xué)解決問題的能力。