小学教材全解四年级上册数学
小学教材全解四年级数学上册北师大版
小学教材全解四年级数学上册北师大版小学教材全解四年级数学上册北师大版
第一章算法和数的认识
1.1 算法
1.2 数的分类
1.3 数的读法及大小比较
第二章两位数的加减法
2.1 不进位两位数的加减法
2.2 进位两位数的加法
2.3 借位两位数的减法
第三章算式与分数
3.1 算式的认识
3.2 含有括号的算式计算
3.3 分数的认识及简单加减
第四章三角形与四边形
4.1 角的认识
4.2 三角形的分类与性质
4.3 四边形的分类与性质
第五章时、分的认识与读写
5.1 时、分的认识
5.2 时、分的读写及表示
5.3 时、分的简单加减运算
第六章长度单位
6.1 长度单位的认识
6.2 厘米和米的换算
6.3 分米和厘米的换算
第七章重量单位
7.1 重量单位的认识
7.2 克和千克的换算
7.3 克和分的换算
第八章时钟读数
8.1 时钟读数的认识
8.2 时钟读数的练习
第九章分类讨论问题
9.1 分类讨论型问题的解法
9.2 应用分类讨论解决实际问题
第十章乘法的概念
10.1 乘法的认识
10.2 形象认识乘法与实际应用
10.3 乘法算式的计算
以上是小学教材全解四年级数学上册北师大版的章节划分。
通过学习这些章节,学生可以初步掌握算法和数的分类、两位数的加减法、算式与分数、三角形与四边形、时、分的认识与读写、长度、重量单位的换算、时钟读数、分类讨论问题和乘法的概念等知识。
这些知识将为学生今后学习数学打下坚实的基础。
新人教版数学四年级上册全册各单元教材解读精品课件 (2)可修改全文
提出“亿以上的数怎么读”的问题,呈现学生 交流画面,意在让学生凭借读数的经历、体验, 通过讨论交流,概括、总结亿以上数的读法。
然后呈现了计算器的实物图,用标注介绍了显 示屏及两个功能键的名称,其余键的功能则让 学生自己探索、交流。通过了解常用键的功能 和使用方法,为用计算器计算作准备。
简单的规律。
认识自然数,了解十进制计数法,
2 掌握数位顺序,会根据数级正确读、
写大数,会比较大数的大小。
4
体会和感受大数在日常生活中的作 用,进一步发展数感。
教学重点
重点是亿以内数的认识和读、写法,认 识万以上的数,认识计数单位 “万”“十万”“百万”“千 万”“亿”“十亿”“百亿”“千亿”, 知道相邻两个计数单位之间的关系。
创设情境,突出“改写 ”的意义和作用。选择学 生熟悉的素材,用不同的 方式呈现其中的数据信息 。比如:①蜻蜓的眼睛是 由20000多只小眼组成的; 蜻蜓的眼睛是由2万多只小 眼组成的。让学生通过读 或说,感受用“万”作单 位的数表达更方便这一特 点,引起学生的兴趣,调 动学生学习的积极性。
例6教学将整万的数改写成用“万”作单位的数。 教材通过呈现人体血液中红细胞和白细胞的数 量,让学生在了解一小滴血液中含红细胞个数、 白细胞个数的同时,探讨把整万数改写成用 “万”作单位的数。
《大数的认识》教材解读
新人教版数学四年级上册第一单元
数与代数 图形与几何 统计与概率 综合与实践
目录 1
2 3
4 5
本单元是小学生整数认识的最后阶段,也是系统整理整数概 念、读写法则等的过程。在本单元之前,学生已经认识了万以 内的数,建立了良好的数概念认知基础。本单元要认识万以上 的数,这是认数范围的又一次扩展,对发展学生的数感,培养 学生的估计意识具有重要的意义。
人教版 四上数学 教材整体解读
5.商不变的规律 应用规律进行简算
计观
比
交
算察
较
流
表达 概括
板块二
空间与图形
二单元 公顷与平
方千米
三单元
角的度量
五单元
平行四边形 和梯形
第二单元 公顷和平方千米
测量土地面积 的常用单位
公顷 平方千米
建立表象
熟记进率
单位换算
第三单元 角的度量 很抽象
一、教学内容
认识线段、直线、射线、角
概念多
教学建议:
5.注重方法、规律的梳理总结。
观察对比 交流讨论 总结概括 补充填写 记忆表达
第四单元 三位数乘两位数
三位数乘两位数
笔算乘法
积的变化规律 常见的数量关系
例3
笔算
例1
有0的
例2
价格
例4
行程
例5
教学建议:
1.狠抓笔算,保证练习量。
坚持每节课前两道
补充? 145 ×212 2145 ×12
无文字呈现步骤和方法
板块三
统计与概率
七单元
条形统计图
数据收集 统计与概率 数据描述 图 表
数据分析
条形统计图
1格表示一 1格表示二 1格表示五
1格表示多
教学建议:
1.加强对比
象形统计图 条形统计图
1格表示一 1格表示二
纵向条形统计图
横向条形统计图
统计的核心是数据分析
1.数据本身的读取
2.
读 数
掌握方法 加强练习 形成技能
第五单元 平行四边形和梯形
教学建议:
1.通过操作活动,帮助学生建立几何概念 2.抓住图形本质特征,正确理解概念 3.从生活实例中抽象出图形 4.加强作图步骤的具体指导
小学数学四年级上书本教材全解练习全解同步全解 第1单元 大数的认识
读作:三万 读作:四十三万零一百二十 读作:四千零一万零五百二十 读作:十万零二百 读作:三百零三万零三百零三 读作:三千零四十万零一十
4.写出下面各数。 三百六十万二千
抓住“万”字定 数级哪位没有就 写零。
3602000
五十四万零三百七十 540370
六万八千九百二十
68920
5.写出下面各数。
这节课你们都学会了哪些知识?
含有两级的数的写法: (1)从高位写起,先写万级,再写个级。 (2)哪个数位上一个单位也没有,就在那个数位上写0。 检验所写的数是否正确的方法: (1)把写出的数读一遍,看与题目是否一致。 (2)根据最高位判断是几位数,再依次核对。
这节课你们都学会了哪些知识?
数的读与写离 不了分级。
要想写对数, 数位顺序表要 牢记心间。
人教版 数学 四年级 上册
1 大数的认识
练习二
复习旧知 课堂小结
巩固练习 课后作业
复习旧知 如何比较两个大数的大小?
亿以内 数的大 小比较
位数 不同
位数 相同
位数多的大于位数少的
从最高位比起,最高位上的 数大的那个数就大,如果最 高位上的数相同,就依次比 较下一个数位上的数,直到 比出大小为止
答:1807558 1807558≈181万 1684490 1684490≈168万
(2)全世界鱼类有一万九千零五十六种。 答:19056 19056≈2万
这节课你们都学会了哪些知识?
整万数的读法:万级上的数,按照个级的读法来读, 再在后面加上一个“万”字。
这节课你们都学会了哪些知识?
含有两级的数的读法: ①从高位读起,先读万级,再读个级。 ②读万级时,按照个级的读法去读,再在后面加个 “万”字。 ③每级末尾不管有几个0,都不读,其他数位上有一 个0或者连续几个0,都只读一个0。
四年级数学上册电子版教材全解2020年
四年级数学上册电子版教材全解2020年一、四则运算1.四则运算(1)(教材2一9页)全解课标要求目标指南目标出现啦,我们抓住它!1.掌握含有两级运算的运算顺序,正确计算三步式题。
2.探索、分析解决问题的策略和方法,会用两三步计算的方法解决一些实际问题。
3.养成认真审题、独立思考等学习习惯。
重难点重点:理解和掌握含有两级运算的运算顺序。
难点:运用混合运算解决实际问题。
全解教材知识知识讲解名师到身边,亲自来指点!知识点一―没有括号的加减混合运算的运算顺序问题导入滑冰场上午有72人,中午有44人离去,又有85人到来。
现在有多少人在滑冰?过程讲解1.分析解答解法一(1)分析题意:求现在有多少人在滑冰,应知道滑冰场上人员的变化情况。
由上午有72人,中午有44人离去,可以用减法求出离去44人后剩下的人数,即:72-44=28(人)﹔再用剩下的人数加上又到来的85人,便是现在滑冰的人数,即:28+85=113(人),以上的分析过程也可用思路图表示:知识延伸此分析思路从条件出发,逐步推导出所求结果,它采用了解决应用题的常见方法—一综合法。
列综合算式为:72-44+85。
(2)明确运算顺序:此题是一道加减混合运算题,计算时按从左到右的顺序计算。
先算出72与44的差,再算出这个差与85的和。
(3)明确运算过程:72-44+85=28+85=113(人)方法提示在递等式计算中,没参加运算的数要连同前面的运算符号一同抄写下来。
解法二(1)分析题意:可以先求出滑冰场共来多少人,即用上午有的72人加上又来的85人;再用总人数减去中午离去的44人,便是滑冰场现在的人数。
以上的分析过程也可以用思路图表示:列综合算式为:72+85-44。
(2)明确运算顺序:此题仍是一道加减混合运算题,因此要按从左到右的顺序计算.(3)明确运算过程:72+85-44=157 - 44=113(人)=28+85=113(人)答:现在有113人在滑冰。
人教版四年级上册数学全册教材分析
人教版小学四年级上册数学教材分析各位老师早上好!今天我和大家交流的是人教版四年级上册数学教材内容。
学情分析:本册是第二学段教学的开始。
本学段的学生有了一定的知识和能力,思维水平有了发展——开始由直观形象思维向抽象逻辑思维过渡。
因此教学内容在编排上也开始注意由具体直观向抽象概括过渡。
本册教材的总体分析:我们先从整体上来分析本册教材的内容结构。
老师们平时可能比较习惯从目录中了解教材的主要内容。
从目录中我们可以看到本册教材共有9个单元,分别是:第一单元大数的认识、第二单元公顷和平方千米、第三单元角的度量、第四单元三位数乘两位数、第五单元平行四边形和梯形、第六单元除数是两位数的除法、第七单元条形统计图、第八单元数学广角与第九单元总复习。
其中,大数的认识、角的度量、三位数乘两位数、平行四边形和梯形、除数是两位数的除法是本册的重点教学内容。
本册教材的主要内容,也与其他各册相似,均包括了数与代数、图形与几何、统计与概率、综合实践活动四大部分,详见如下:(一)数与代数领域第一部分多位数的认识内容分布在第一单元“大数的认识”。
第二部分乘法和除法部分这一部分的知识内容主要分布在“三位数乘两位数”和“除数是两位数的除法”这两个单元。
(二)图形与几何领域第三部分图形与几何的内容分布在第二单元“公顷和平方千米”、第三单元“角的度量”和第五单元“平行四边形和梯形”(三)统计与概率领域统计部分的内容分布在第七单元,教学条形统计图。
(四)综合和实践应用这一部分内容对学生初步形成一些重要的数学思想力法,感受数学独特的魅力是有很重要的作用,教材之所以要安排一些有弹性教学目标的内容就是为了满足不同层次学生的学习需求,落实不同的学生有不同的数学的目标。
除上面的内容外,本册还安排了两个综合应用活动",1亿有多大”和“你寄过贺卡吗?”让学生1.通过对具体数量的感知和体验,进一步理解数的意义,建立数感。
2.经历从实际生活中发现问题、提出问题、解决问题的过程,体会数学在日常生活中的作用,初步形成综合运用数学知识解决问题的能力。
四年级上册教材全解
(1、在乘法中,要想使积不变,两个因数 的变化就要相反。一个因数乘一个数,另一 个因数就要除以相同的数。) (2、车辆行驶时,如果路程一定,速度越 快,所用的时间就越短。)
解决问题
2、一块长方形的草坪的面积是100平方米。改建 后,长扩大到原来的2倍,宽扩大到原来的3倍, 改建后草坪的面积是多少?
(2)(320÷8 )×(7
判断对错
1、一个因数变大,另一个因数变小,积不变 ( )
×
2、一个因数乘8,要使积不变,另一个因数也 要乘8.( )
×
3、一个数乘5再除以5,结果还是这个数。(
)
4、有关带钱问题的估算,要做到估大不估小。 ( )
解决问题
1、一辆卡车从甲城到乙城要行4小时,一辆轿车 的速度是卡车的2倍,那么轿车从甲城到乙城需要 几小时?
3.学校要为894名同学购置夏季 校服,每套校服83元,请你估 计一下学校应准备多少钱去购 买校服?
894×83≈81000 (元)
把894估成900,把83估成 90,准备的钱数应估大不 估小。
判断对错
1、每相邻两个数位间的进率是十。( 2、1645800读作:一千六百四十五万八百。(
×
)
1. 483÷( )=9......6,括号 里的数应用( B ) A. 483÷9-6 B.(483-6)÷9 C.(483+6)÷9
2.我们要在长280米的公路一旁 每隔40米栽一棵树,两头都要 栽。我们要栽多少棵树?
280÷40=7(段) 7+1=8(棵) 答:我们要栽8棵树。
×)
); )。
3、16 3060≈160万, 中只可以填0、1、2、 3 。( )
最新人教版小学四年级数学教材知识全解 (1)
2 乘法运算定律(教材33—38页)课标要求全解目标指南1.理解并掌握乘法交换律、结合律和分配律,并能运用定律进行一些简便的计算。
2.理解乘法运算定律的算理,并能合理、灵活地进行简便运算。
3.感受数学与现实生活的联系,发展思维能力。
重点难点重点:理解乘法运算定律,并能进行简便运算。
难点:灵活应用运算定律解决实际问题。
教材知识全解知识讲解知识点一乘法交换律问题导入同学们去植树,一共有25个小组,每组里有4人负责挖坑、种树。
负责挖坑、种树的一共有多少人?过程讲解1.分析题意:根据已知条件:有25个小组,每组里有4人负责挖坑、种树。
求挖坑、种树的一共有多少人。
也就是求25个4是多少,用乘法计算。
列式:25×4=100(人)或4×25=100(人)。
2.比较算式,发现定律:观察25×4=100和4×25=100,发现两道乘法算式的因数相同,交换因数的位置,积不变。
因此,可以得出25×4=4×25。
像这样交换因数的位置,积不变就叫做乘法交换律。
方法提示以前乘法验算运用的就是乘法交换律。
3.字母表示乘法交换律:如果用a、b分别代表任意的一个因数,则乘法交换律就可以用字母表示为:a×b=b×a。
4.比较加法交换律和乘法交换律:交换律是两数相加(相乘)的规律,即交换加(因)数的位置和(积)不变。
归纳总结乘法交换律:交换两个因数的位置,积不变。
用字母表示:a×b=b×a拓展提高多个数相乘,任意交换因数的位置,积不变。
如a×b×c×d×e=a×c×e×b×d =a×d×b×c×e知识点二乘法结合律问题导入同学们去植树,一共有25个小组,每组要种5棵树,每棵树要浇2桶水。
一共要浇多少桶水?过程讲解1.依题意解答:解法一:先求一共植多少棵树,再求这些树一共浇多少桶水。
2019秋人教版四年级数学上册教材全解读
教材分析二、主要变化方面1.从三年级年级下册移来“面积” 单元的“公顷和平方千米”内容,单编为一个单元。
2.把原一年级下册、二年级上册、二年级下册和三年级下册的“统计”内容按课标要求进行了调整整合,统一安排在本册第七单元。
3.原“统计”(复式条形统计图)移到四年级下册。
4.“角的度量”“平行四边形和梯形”“除数是两位数的除法”“数学广角”等单元教学内容发生较大变化。
5.编排了一个“综合与实践”的主题活动。
三、主要变化1.例题的编排增加了衔接语,使内容更具连贯性;注意体现探索过程,尽量为教学提供一定的引导。
2.角的度量方面,根据学生的年龄特点,由已认识的线段,引出直线、射线,介绍用符号如何表示,并借助手电筒、激光等光束体会射线。
量角和画角都结合图示,以填空的方式给出了具体步骤。
平角、周角,从射线转动的角度进行认识。
3.平行四边形与梯形方面,点到直线的距离和平行线之间的距离处处相等合并为一个例题。
去掉了情境引入,增加了字母表示、记法和读法。
重难点分析教学重点大数的认识、三位数乘两位数、角的度量、除数是两位数的除法、平行四边形和梯形。
教学难点大数的认识、三位数乘两位数、角的度量。
大数的认识大数的认识是四年级上册教材的起始单元,它是在学生认识和掌握万以内数的基础上学习的,生活中大数广泛存在,对大数认识既是万以内数的认识的巩固和扩展,也是学生必须掌握的最基础的数学知识之一。
1、注重基础知识,基本概念的教学,培养学生知识迁移能力。
2、加强数学与现实生活的密切联系,培养学生的数学意识,发展学生的数感。
大数的认识1、由1,2,3,4,5,6,7,8,9这九个数字组成的九位数中,四舍五入后约等于9亿,这样的数最大和最小分别是多少?2、用6个“9”和6个“0”组成符合下列要求的十二位数。
①一个零都不读()②只读一个零()③读出两个零()④读出三个零()⑤读出四个零()三位数乘两位数三位数乘两位数是义务教育阶段,整数乘法的最后一个知识板块,它是在学生掌握了三年级两位数乘两位数的计算方法的基础上进行教学的。
小学教材全解四年级数学上
小学教材全解四年级数学上
本文档是对四年级数学上册教材的全解释。
以下是各个章节的具体内容。
第一章:整数
本章介绍了整数的概念和加减法。
学生们将学会如何识别和使用正整数和负整数,并研究整数之间的加减法运算。
第二章:分数
本章向学生们介绍分数的概念及其表示方法。
学生们将学会识别分数的各个部分,并研究分数的加减法运算。
第三章:面积与周长
本章主要介绍面积和周长的概念及其计算方法。
学生们将学会如何测量物体的面积和周长,并解决相关的实际问题。
第四章:图形的分类与性质
本章向学生们介绍了各种常见图形的分类和性质。
学生们将学
会识别不同的图形,并了解它们的特点和属性。
第五章:长方体和正方体
本章主要介绍了长方体和正方体的概念及其特点。
学生们将学
会识别和测量长方体和正方体的各个部分,并解决相关的实际问题。
第六章:时间和日历
本章向学生们介绍了时间和日历的概念及其相关知识。
学生们
将学会读取时间和使用日历进行日期计算。
第七章:货币与交换
本章主要介绍了货币的概念和货币交换的方法。
学生们将学会
使用各种货币进行交换和计算。
第八章:数据和图表
本章向学生们介绍了数据和图表的概念及其应用。
学生们将学会收集和整理数据,并通过图表展示数据的信息。
以上是《小学教材全解四年级数学上》的全部内容。
希望这本教材能够帮助学生们更好地理解和掌握数学知识。
四年级上册数学教材解读
关于第一单元 我 的 想 法
1、对万、亿这样较大的计数单位,怎样帮助学生建立数感? (1)列举大量的生活事例,让学生借助自己的生活经验,进行分析判断,从而建立 大数的数感。 (2)充分利用教材提供的各种资料,引导学生发挥想象力,感受万、亿的大小。 (3)教材在编排中为学生提供了大量的素材,老师们还可以为学生提供一些与实际 生活贴近的素材,帮助学生建立大数的数感。 2、引导学生区分好“数位”与“计数单位”两个不同的概念。 可以从意义上区分或是一些练习题上区分。
四年级数学教材解读
一、本册教材主要变化 二、本册教材编写特点 三、数与代数课标的表达
--数与代数细化到本册 四、第一单元单元详细分析 五、我对“计数单位”的理解
一、主要变化
一 综合应用
二 三 四 五 六 综合应用 七 八
旧版教材
大数的认识 1亿有多大 角的度量 三位数乘两位数 平行四边形和梯形 除数是两位数的除法 统计 你寄过贺卡吗 数学广角 总复习
3.原“统计”(复式条形统计图)移到四年级下册。
4. “角的度量”“平行四边形和梯形”“除数是两位数的除法”“数学广角” 等单元教学内容发生较大变化。
5.编排了一个“综合与实践”的主题活动。
二、教材编写特点
1.各领域内容穿插编排,互相搭配 配
2.大数的认识突出数概念教学,重视数感的培养。
3.加强学生对知识整理能力的培养。
值”的概念。
复习 读整万数(对比,
迁移,优化)
读含两级的数
难点
归纳总结方法
写数
• 突出分级
• 归纳总结方法
复习比较万以内数 的大小——提供主 题图,学生选择数 据比较,展示交流 结果——交流比较 大小的方法,理清 比较大小的思路— —总结方法
四年级数学上册教材解读
四年级数学上册教材解读一、数与代数。
1. 大数的认识。
- 教学目标。
- 使学生在认识万以内数的基础上,进一步认识计数单位“万”“十万”“百万”“千万”和“亿”,知道亿以内及以上各个计数单位的名称和相邻两个单位之间的关系。
例如,10个一万是十万,10个十万是百万等。
- 掌握数位顺序表,根据数级正确地读写大数。
如,读一个大数时,先读亿级,再读万级,最后读个级,每级末尾不管有几个0都不读,其他数位上有一个0或连续几个0,都只读一个零。
写数时从高位写起,哪一位上是几就写几,哪一位上一个单位也没有就在那一位上写0。
- 会比较大数的大小,能将整万、整亿的数改写成用“万”或“亿”作单位的数,会用“四舍五入”法求一个数的近似数。
把560000改写成用“万”作单位的数就是56万;求34567890≈3457万(精确到万位)。
- 教学重难点。
- 重点:数的读写、改写和求近似数。
大数的读写需要学生熟练掌握数位顺序和计数单位,改写和求近似数是在理解数的意义基础上的进一步应用。
- 难点:中间或末尾有0的数的读写,以及用“四舍五入”法求近似数时对近似数概念的理解。
例如,300005000的读法,以及将456789012精确到亿位的近似数的求法。
2. 三位数乘两位数。
- 教学目标。
- 使学生理解三位数乘两位数的笔算算理,掌握三位数乘两位数的笔算方法。
例如,通过乘法的意义,将123×45分解为123×5+123×40来理解算理。
- 会进行相应的估算和验算。
估算时可以把因数看成接近的整十、整百数进行计算,验算是利用乘法和除法的互逆关系进行。
- 能解决一些简单的实际问题,体会数学在生活中的应用价值。
如计算汽车行驶的路程(速度×时间 =路程)等实际问题。
- 教学重难点。
- 重点:三位数乘两位数的笔算方法。
这是乘法运算中的一个重要内容,需要学生准确掌握每一步的计算过程。
- 难点:因数中间或末尾有0的乘法笔算。
小学教材全解四年级数学上册
小学教材全解四年级数学上册
一、第一章基本概念
1、数的概念:数是用来表示物体数量的符号,它表示不同物
体的数量。
2、数的分类:数可以分为自然数、整数、分数、小数和百分
数等。
3、数的运算:数的运算有加、减、乘、除、开方、次方等。
4、数的应用:数学是用来解决实际问题的工具,数可以用来
表示实际问题中的数量关系,从而帮助我们更好地解决实际问题。
二、第二章四则运算
1、加法:加法是把两个或多个数相加,得到一个总和的运算。
2、减法:减法是把一个数减去另一个数,得到一个差的运算。
3、乘法:乘法是把两个或多个数相乘,得到一个积的运算。
4、除法:除法是把一个数除以另一个数,得到一个商的运算。
5、混合运算:混合运算是把加、减、乘、除四种运算结合起
来进行运算的方法。
三、第三章数的应用
1、比较大小:比较大小是指比较两个数的大小,可以用“>”、“<”、“=”等符号来表示。
2、数的排列:数的排列是指把一组数按照从小到大或从大到小的顺序排列起来。
3、数的比例:数的比例是指两个或多个数之间的大小比例关系,可以用“:”符号来表示。
4、数的组合:数的组合是指把两个或多个数组合在一起,得到一个新的数。
人教版小学四年级数学上册教材分析全册教案
一、教材分析这一册教材包括下面一些内容:大数的认识,三位数乘两位数,除数是两位数的除法,公顷和平方千米,角的度量,平行四边形和梯形的认识,条形统计图,数学广角,用数学解决问题,综合与实践主题活动等。
其中“公顷和平方千米”是从实验教材三年级下册第六单元“面积”中移至本册的,安排在大数的认识单元后,以便学生结合大数的认识,充分感知、体会这两个大的面积单位。
“条形统计图”原来分散在实验教材第一学段的不同年级,现移至第二学段本册,讲原来单式条形统计图的内容重新梳理,整合为一个单元进行教学。
大数的认识、三位数乘两位数,除数是两位数的除法,角的度量,平行四边形和梯形的认识是本册教材的重点教学内容。
本册教材的教学目标是,使学生:1.认识计数单位“十万”“百万”:千万”“亿”“十亿”“百亿”“千亿”,认识自然数,掌握十进制计数法,会根据数级读、写亿以内和亿以上的数,会根据要求用“四舍五人”法求一个数的近似数。
体会和感受大数在日常生活中的应用,进‘步发展数感。
2.会笔算三位数乘除两位数的乘法、除数是两位数的除法,会进行相应的乘、除法估算和验算。
3.会口算整十数除整十数、整十数除几百几十数。
4、认识面积将单位公顷和平方千米。
知道公顷、平方千米之间的进率,会进行简单的单位换算。
5.认识直线、射线和线段,知道它们的区别;认识常见的几种角,会比较角的大小,会用量角器量出角的度数,能按指定度数画角。
6.认识垂线、平行线,会用直尺、三角板画垂线和平行线;掌握平行四边形和梯形的特征。
7,认识条形统计图(以1代多),会用条形统计图来描述数据,能根据条形统计图回答并提出简单的问题,并能进行简单的数据分析。
8.经历从实际生活中发现问题、提出问题、解决问题的过程,体会数学在日常生活中的作用,形成从生活中发现数学问题的意识,初步形成观察、分析及推理的能力。
9.体会学习数学的乐趣,提高学习数学的兴趣,建立学好数学的信心。
10.养成认真作业、书定整洁的良好习惯。
四年级上册数学教材解读精选全文
可编辑修改精选全文完整版四年级上册数学教材解读一、教材板块解读数与代数1.第一单元“认识更大的数”本单元是在第一学段学生认识万以内数的基础上,进一步认识亿以内的数在实际生活中的意义,掌握大数读写的方法,认识近似数及其作用。
本单元安排了四个情境活动:数一数(亿以内数的认识),人口普查(亿以内数的读写及比较大小),国土面积(大数的改写),森林面积(近似数的认识)。
通过本单元的学习,学生将经历收集日常生活中常见大数的过程,感受学习更大数的必要性,并能体验大数的实际意义;认识亿以内数的计数单位,了解各单位之间的关系,并会正确读、写;能比较亿以内数的大小;掌握万、亿为单位表示大数的方法;认识近似数,能求一个数的近似数,能对大数进行估计。
2.第三单元“乘法”本单元学习的内容主要有:三位数乘两位数,对一些较大的数进行估计,认识计算器以及运用计算器探索一些数学规律。
教材安排了六个情境活动:卫星运行时间(三位数乘两位数的乘法),体育场(较大数的估计方法),神奇的计算工具(计算器的认识与运用),探索与发现(一)(有趣算式的探索),探索与发现(二)(乘法结合律和交换律的探索),探索与发现(三)(乘法分配律的探索)。
本单元又专题安排了“计算工具的演变”的阅读材料,以使学生了解计算工具的发展过程。
通过本单元的学习,学生将理解三位数乘两位数乘法的计算方法,并能正确计算,会运用所学知识解决一些实际问题;能对生活中具体事物的数量用不同的方法进行估计;掌握计算器的运用方法,会利用计算器探索一些数学规律。
3.第五单元“除法”本单元的学习是小学阶段整数运算的最后一个章节内容。
本单元学习的内容主要有:三位数除以整十数,三位数除以两位数,速度、时间与路程的数量关系,探索商的运算规律以及整数四则混合运算。
本单元安排了七个情境活动:买文具(除数是整十数的除法),路程、时间与速度(常见的数量关系),参观苗圃(一次试商的除数是两位数的除法),秋游(试商需要改商的除法),国家体育场(体会万、亿的实际意义),探索与发现(四)(探索商的变化规律),中括号(三步的混合运算)。
全面梳理人教版小学四年级数学上册全册教案
全面梳理人教版小学四年级数学上册全册教案人教版小学四年级数学上册全册教案一、教学目标通过本节课,学生将能够:1. 认识数字1-100,并正确书写;2. 熟练掌握数字1-100的读法;3. 能够进行1-100的顺序排列;4. 能够将数字1-100进行分组。
二、教学重难点1. 数字1-100的读法和书写;2. 数字1-100的顺序排列;3. 数字1-100的分组。
三、教学准备1. 教学用具:数字卡片、黑板、白板、书籍等。
四、教学过程【Step 1】引入新知1. 教师出示数字卡片1-100,让学生观察并说出每个数字的读法。
2. 通过示范,让学生模仿跟读,纠正他们的发音错误。
3. 教师引导学生一起书写数字1-100,帮助他们熟悉数字的书写形式。
【Step 2】数字的顺序排列1. 教师出示数字卡片1-100,让学生将数字卡片按照从小到大的顺序排列在黑板上。
2. 学生观察数字的规律,尝试自己进行数字的顺序排列。
3. 教师带领学生检查答案,纠正错误,并解释一些常见的数字排列规律。
【Step 3】数字的分组1. 教师出示数字卡片1-100,并提问学生:你们能将这些数字进行分组吗?2. 学生进行小组合作,将数字卡片按照一定的规则进行分组(例如:十位为奇数、个位为偶数)。
3. 学生向全班展示他们的分组方式,教师与学生们一起进行讨论和总结。
【Step 4】巩固练习1. 教师设计一些数字排序和分组的练习题,让学生进行巩固练习。
2. 学生完成练习题后,互相交流答案,教师展示正确答案,并给予必要的解释。
五、课堂小结通过本节课的学习,我们掌握了数字1-100的读法和书写,并能够进行数字的顺序排列和分组。
这些知识将为我们今后的数学学习打下坚实的基础。
六、课后作业1. 完成课堂练习题;2. 记忆数字1-100的读法和书写;3. 思考其他数字的排序和分组方式,并写下自己的想法。
希望以上教案能够满足您的需求,如果还有其他问题,请随时告知。
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2016年12月大学英语四级考试真题(第一套)Part I Writing(30minutes) Directions:For this part,you are allowed30minutes to write an essay.Suppose you have two options upon graduation:one is to work in a state-ownedbusiness and the other in a joint venture.You are to make a choicebetween the two.Write an essay to explain the reasons for your choice.You should write at least120words but no more than180words.PartⅡListening Comprehension(25minutes) Section ADirections:In this section,you will hear three news reports.At the end of each news report,you will hear two or three questions.Both the news report and thequestions will be spoken only once.After you hear a question,you mustchoose the best answer from the four choices marked A),B),C)and D).Then mark the corresponding letter on Answer Sheet1with a single linethrough the centre.Questions1and2are based on the news report you have just heard.1.A)It was dangerous to live in.B)It was going to be renovated.C)He could no longer pay the rent.D)He had sold it to the royal family.2.A)A strike.B)A storm.C)A forest fire.D)A terrorist attack.Questions3and4are based on the news report you have just heard.3.A)They lost contact with the emergency department.B)They were trapped in an underground elevator.C)They were injured by suddenly falling rocks.D)They sent calls for help via a portable radio.4.A)They tried hard to repair the elevator.B)They sent supplies to keep the miners warm.C)They released the details of the accident.D)They provided the miners with food and water.Questions5to7are based on the news report you have just heard.5.A)Raise postage rates.B)Improve its services.C)Close some of its post offices.D)Redesign delivery routes.6.A)Shortening business hours.B)Closing offices on holidays.C)Computerizing mail sorting processes.D)Stopping mail delivery on Saturdays.7.A)A lot of controversy will arise.B)Many people will begin to complain.C)Taxpayers will be very pleased.D)Many post office staff will lose their jobs.Section BDirections:In this section,you will hear two long conversations.At the end of each conversation,you will hear four questions.Both the conversations andthe questions,will be spoken only once.After you hear a question,youmust choose the best answer from the four choices marked A)),B)),C)andD).Then mark the corresponding letter on Answer Sheet1with a singleline through the centre.Questions8to11are based on the conversation you have just heard.8.A)He will lose part of his pay.B)He will go through retraining.C)He will be given a warning.D)He will be kept from promotion.9.A)He is always on time.B)He is a trustworthy guy.C)He is an experienced press operator.D)He is on good terms with his workmates.10.A)She is a trade union representative.B)She is in charge of public relations.C)She is better at handling such matters.D)She is a senior manager of the shop.11.A)He is always trying to stir up trouble.B)He is very close to the manager.C)He is skilled and experienced.D)He is always complaining about low wages.Questions12to15are based on the conversation you have just heard.12.A)Open.B)Reserved.C)Friendly.D)Selfish.13.A)They talk about the weather.B)They read a book.C)They stay quiet.D)They chat with fellow passengers.14.A)She was always treated as a foreigner.B)She was never invited to a colleague’s home.C)She was eager to visit an English castle.D)She was unwilling to make friends with workmates.15.A)Houses are much more quiet.B)They want a garden of their own.C)They want to have more space.D)Houses provide more privacy.Section CDirections:In this section,you will hear three passages.At the end of each passage, you will hear three or four questions.Both the passage and the questionswill be spoken only once.After you hear a question,you must choose thebest answer from the four choices marked A),B),C)and D)..Then markthe corresponding letter on Answer Sheet1with a single line through thecentre.Questions16to18are based on the passage you have just heard.16.A)They will automatically be given hiring priority.B)They are likely to get much higher pay.C)They don’t have to go through job interviews.D)They don’t have much choice of jobs.17.A)Visit the school careers service.B)Look at school bulletin boards.C)Ask their professors for help.D)Go through campus newspapers.18.A)Helping students find the books and journals they need.B)Helping students arrange appointments with librarians.C)Supervising study spaces to ensure a quiet atmosphere.D)Providing students with information about the library. Questions19to21are based on the passage you have just heard.19.A)It tastes better.B)It may be sold at a higher price.C)It is easier to grow.D)It can better survive extreme weathers.20.A)It is immune to various diseases.B)It can grow in drier soil.C)It will replace green tea one day.D)It is healthier than green tea.21.A)It does not have a stable market.B)It does not bring the promised health benefits.C)It has made tea farmers’life easier.D)It has been well received by many tea drinkers. Questions22to25are based on the passage you have just heard.22.A)They need decorations to show their status.B)They decorate their homes themselves.C)They prefer unique objects of high quality.D)They care more about environment.23.A)They were proud of their creations.B)They could only try to create at night.C)They made great contributions to society.D)They focused on the quality of their products.24.A)Identify fake crafts.B)Make wise choices.C)Design handicrafts themselves.D)Learn the importance of creation.25.A)To preserve the traditional culture.B)To attract foreign investments.C)To arouse public interest in crafts.D)To boost the local economy.PartⅢReading Comprehension(40minutes) Section ADirections:In this section,there is a passage with ten blanks.You are required to select one word for each blank from a list of choices given in a wordbank following the passage.Read the passage through carefully beforemaking your choices.Each choice in the bank is identified by a letter.Please mark the corresponding letter for each item on Answer Sheet2with a single line through the centre.You may not use any of the wordsin the bank more than once.Questions26to35are based on the following passage.Many men and women have long bought into the idea that there are“male”and “female”brains,believing that explains just about every difference between the sexes.A new study26that belief,questioning whether brains really can be distinguished by gender.In the study,Tel Aviv University researchers27for sex differences throughout the entire human brain.And what did they find?Not much.Rather than offer evidence for28brains as“male”or“female”,research shows that brains fall into a wide range,with most people falling right in the middle.Daphna Joel,who led the study,said her research found that while there are some gender-based29,many different types of brain can't always be distinguished by gender.While the“average”male and“average”female brains were30different,you couldn't tell it by looking at individual brain scans.Only a small31of people had “all-male”or“all-female”characteristics.Larry Cahill,an American neuroscientist(神经科学家),said the study is an important addition to a growing body of research questioning32beliefs about gender and brain function.But he cautioned against concluding from this study that all brains are the same,33of gender.“There’s a mountain of evidence34the importance of sex influences at all levels of brain function,”he told The Seattle Times.If anything,he said,the study35that gender plays a very important role in the brain—“even when we are not clear exactly how”.A)abnormalB)appliedC)brieflyD)categorizingE)challengesF)figureG)percentageH)proving I)regardless J)searched K)similarities L)slightly M)suggests N)tastes O)traditionalSection BDirections:In this section,you are going to read a passage with ten statements attached to it.Each statement contains information given in one of theparagraphs.Identify the paragraph from which the information isderived.You may choose a paragraph more than once.Each paragraphis marked with a letter.Answer the question by marking thecorresponding letter on Answer Sheet2.Can Burglars Jam Your Wireless Security System?[A]Any product that promises to protect your home deserves careful examination.Soit isn’t surprising that you’ll find plenty of strong opinions about the potential vulnerabilities of popular home-security systems.[B]The most likely type of burglary(入室盗窃)by far is the unsophisticated crimeof opportunity,usually involving a broken window or some forced entry.According to the FBI,crimes like these accounted for roughly two-thirds of all household burglaries in the U.S.in2013.The wide majority of the rest were illegal,unforced entries that resulted from something like a window being left open.The odds of a criminal using technical means to bypass a security system are so small that the FBI doesn’t even track those statistics.[C]One of the main theoretical home-security concerns is whether or not a givensystem is vulnerable to being blocked from working altogether.With wired setups,the fear is that a burglar(入室盗贼)might be able to shut your system down simply by cutting the right cable.With a wireless setup,you stickbattery-powered sensors up around your home that keep an eye on windows, doors,motion,and more.If they detect something wrong while the system is armed,they’ll transmit a wireless alert signal to a base station that will then raise the alarm.That approach will eliminate most cord-cutting concerns—but what about their wireless equivalent,jamming?With the right device tuned to the right frequency,what’s to stop a thief from jamming your setup and blocking that alert signal from ever reaching the base station?[D]Jamming concerns are nothing new,and they’re not unique to security systems.Any device that’s built to receive a wireless signal at a specific frequency can be overwhelmed by a stronger signal coming in on the same frequency.For comparison,let’s say you wanted to“jam”a conversation between two people—all you’d need to do is yell in the listener’s ear.[E]Security devices are required to list the frequencies they broadcast on-that meansthat a potential thief can find what they need to know with minimal Googling.They will,however,need to know what system they are looking for.If you have a sign in your yard declaring what setup you use,that’d point them in the right direction,though at that point,we are talking about a highly targeted, semi-sophisticated attack,and not the sort of forced-entry attack that makes up the majority of burglaries.It’s easier to find and acquire jamming equipment for some frequencies than it is for others.[F]Wireless security providers will often take steps to help combat the threat ofjamming attacks.SimpliSafe,winner of our Editors’Choice distinction,utilizes a special system that’s capable of separating incidental RF interference from targeted jamming attacks.When the system thinks it’s being jammed,it’ll notify you via push alert(推送警报).From there,it’s up to you to sound the alarm manually.[G]SimpliSafe was singled out in one recent article on jamming,complete with avideo showing the entire system being effectively bypassed with handheld jamming equipment.After taking appropriate measure to contain the RF interference to our test lab,we tested the attack out for ourselves,and were able to verify that it is possible with the right equipment.However,we also verified that SimpliSafe’s anti-jamming system works.It caught us in the act,sent an alert to my smartphone,and also listed our RF interference on the system’s event log.Theteam behind the article and video in question make no mention of the system,or whether or not it detected them.[H]We like the unique nature of that software.It means that a thief likely wouldn’t beable to Google how the system works,then figure out a way around it.Even if they could,SimpliSafe claims that its system is always evolving,and that it varies slightly form system to system,which means there wouldn’t be a universal magic formula for cracking it.Other systems also seem confident on the subject of jamming.The team at Frontpoint addresses the issue in a blog on its site,citing their own jam protection software and claiming that there aren’t any documented cases of a successful jam attack since the company began offering wireless security sensors in the1980s.[I]Jamming attacks are absolutely possible.As said before,with the right equipmentand the right know-how,it’s possible to jam any wireless transmission.But how probable is it that someone will successfully jam their way into your home and steal your stuff?[J]Let’s imagine that you live in a small home with a wireless security setup that offers a functional anti-jamming system.First,a thief is going to need to target your home,specifically.Then,he’s going to need to know the technical details of your system and acquire the specific equipment necessary for jamming your specific setup.Presumably,you keep your doors locked at night and while you’re away,so the thief will still need to break in.That means defeating the lock somehow,or breaking a window.He’ll need to be jamming you at this point,as a broken window or opened door would normally release the alarm.So,too,would the motion detectors in your home,so the thief will need to continue jamming once he’s inside and searching for things to steal.However,he’ll need to do so without tripping the anti-jamming system,the details of which he almost certainly does not have access to.[K]At the end of the day,these kinds of systems are primarily designed to protect against the sort of opportunistic smash-and-grab attack that makes up the majority of burglaries.They’re also only a single layer in what should ideally be a many-sided approach to securing your home,one that includes common sense things like sound locks and proper exterior lighting at night.No system is impenetrable,and none can promise to eliminate the worst case completely.Everyone of them has vulnerabilities that a knowledgeable thief could theoretically exploit.A good system is one that keeps that worst-case setting as improbable as possible while also offering strong protection in the event of a less-extraordinary attack.36.It is possible for burglars to make jamming attacks with the necessary equipmentand skill.37.Interfering with a wireless security system is similar to interfering with aconversation.38.A burglar has to continuously jam the wireless security device to avoid triggeringthe alarm,both inside and outside the house.39.SimpliSafe provides devices that are able to distinguish incidental radiointerference from targeted jamming attacks.40.Only a very small proportion of burglaries are committed by technical means.41.It is difficult to crack SimpliSafe as its system keeps changing.42.Wireless devices will transmit signals so as to activate the alarm once somethingwrong is detected.43.Different measures should be taken to protect one’s home from burglary inaddition to the wireless security system.44.SimpliSafe’s device can send a warning to the house owner’s cellphone.45.Burglars can easily get a security device’s frequency by Internet search. Section CDirections:There are2passages in this section.Each passage is followed by some questions or unfinished statements.For each of them there are fourchoices marked A),B),C)and D).You should decide on the best choiceand mark the corresponding letter on Answer Sheet2with a single linethrough the centre.Passage OneQuestions46to50are based on the following passage.As a person who writes about food and drink for a living,I couldn’t tell you the first thing about Bill Perry or whether the beers he sells are that great.But I can tell you that I like this guy.That’s because he plans to ban tipping in favor of paying his servers an actual living wage.I hate tipping.I hate it because it’s an obligation disguised as an option.I hate it for thepost-dinner math it requires of me.But mostly,I hate tipping because I believe I would be in a better place if pay decisions regarding employees were simply left up to their employers,as is the custom in virtually every other industry.Most of you probably think that you hate tipping,too.Research suggests otherwise.You actually love tipping!You like to feel that you have a voice in how much money your server makes.No matter how the math works out,you persistently view restaurants with voluntary tipping systems as being a better value,which makes it extremely difficult for restaurants and bars to do away with the tipping system.One argument that you tend to hear a lot from the pro-tipping crowd seems logical enough:the service is better when waiters depend on tips,presumably because they see a benefit to successfully veiling their contempt for you.Well,if this were true we would all be slipping a few100-dollar bill to our doctors on the way out their doors,too.But as it turns out,waiters see only a tiny bump in tips when they do an exceptional job compared to a passable one.Waiters,keen observers of humanity that they are,are catching on to this;in one poll,a full30%said they didn’t believe the job they did had any impact on the tips they received.So come on,folks:get on board with ditching the outdated tip system.Pay a little more upfront for your beer or burger.Support Bill Perry’s pub,and any other bar or restaurant that doesn’t ask you to do drunken math.46.What can we learn about Bill Perry from the passage?A)He runs a pub that serves excellent beer.B)He intends to get rid of the tipping practice.C)He gives his staff a considerable sum for tips.D)He lives comfortably without getting any tips.47.What is the main reason why the author hates tipping?A)It sets a bad example for other industries.B)It adds to the burden of ordinary customers.C)It forces the customer to compensate the waiter.D)It poses a great challenge for customers to do math.48.Why do many people love tipping according to the author?A)They help improve the quality of the restaurants they dine in.B)They believe waiters deserve such rewards for good service.C)They want to preserve a wonderful tradition of the industry.D)They can have some say in how much their servers earn.49.What have some waiters come to realize according to a survey?A)Service quality has little effect on tip size.B)It is in human nature to try to save on tips.C)Tips make it more difficult to please customers.D)Tips benefit the boss rather than the employees.50.What does the author argue for in the passage?A)Restaurants should calculate the tips for customers.B)Customers should pay more tips to help improve service.C)Waiters deserve better than just relying on tips for a living.D)Waiters should be paid by employers instead of customers.Passage TwoQuestions51to55are based on the following passage.In the past,falling oil prices have given a boost to the world economy,but recent forecasts for global growth have been toned down,even as oil prices sink lower and lower.Does that mean the link between lower oil prices and growth has weakened?Some experts say there are still good reasons to believe cheap oil should heat up the world economy.Consumers have more money in their pockets when they’re paying less at the pump.They spend that money on other things,which stimulates the economy.The biggest gains go to countries that import most of their oil like China,Japan, and India.But doesn’t the extra money in the pockets of those countries’consumers mean an equal loss in oil-producing countries,cancelling out the gains?Not necessarily,says economic researcher Sara Johnson.“Many oil producers built up huge reserve funds when prices were high,so when prices fall they will draw on their reserves to support government spending and subsidies(补贴)for their consumers.”But not all oil producers have big reserves.In Venezuela,collapsing oil prices have sent its economy into free-fall.Economist Carl Weinberg believes the negative effects of plunging oil prices are overwhelming the positive effects of cheaper oil.The implication is a sharp decline in global trade,which has plunged partly because oil-producing nations can't afford to import as much as they used to.Sara Johnson acknowledges that the global economic benefit from a fall in oil prices today is likely lower than it was in the past.One reason is that more countries are big oil producers now,so the nations suffering from the prices drop account for a larger share of the global economy.Consumers,in the U.S.at least,are acting cautiously with the savings they’re getting at the gas pump,as the memory of the recent great recession is still fresh in their mind.And a number of oil-producing countries are trimming their gasoline subsidies and raising taxes,so the net savings for global consumers is not as big as theoil price plunge might suggest.51.What does the author mainly discuss in the passage?A)The reasons behind the plunge of oil prices.B)Possible ways to stimulate the global economy.C)The impact of cheap oil on global economic growth.D)The effect of falling oil prices on consumer spending.52.Why do some experts believe cheap oil will stimulate the global economy?A)Manufacturers can produce consumer goods at a much lower cost.B)Lower oil prices have always given a big boost to the global economy.C)Oil prices may rise or fall but economic laws are not subject to change.D)Consumers will spend their savings from cheap oil on other commodities.53.What happens in many oil-exporting countries when oil prices go down?A)They suspend import of necessities from overseas.B)They reduce production drastically to boost oil prices.C)They use their money reserves to back up consumption.D)They try to stop their economy from going into free-fall.54.How does Carl Weinberg view the current oil price plunge?A)It is one that has seen no parallel in economic history.B)Its negative effects more than cancel out its positive effects.C)It still has a chance to give rise to a boom in the global economy.D)Its effects on the global economy go against existing economic laws.55.Why haven’t falling oil prices boosted the global economy as they did before?A)People are not spending all the money they save on gas.B)The global economy is likely to undergo another recession.C)Oil importers account for a larger portion of the global economy.D)People the world over are afraid of a further plunge in oil prices.PartⅣTranslation(30minutes) Directions:For this part,you are allowed30minutes to translate a passage from Chinese into English.You should write your answer on Answer Sheet2.在中国文化中,红色通常象征着好运、长寿和幸福。