Well hello and welcome to this english lesson about math. I'm
大家好 欢迎来到这节关于数学的英语课 我是
not sure which subjects in school were your favourite.
不确定你最喜欢学校里的哪些科目
Maybe math class was an enjoyable place for you to be.
也许数学课对你来说是一个愉快的地方
Maybe math class was really really boring. But either way
也许数学课真的很无聊 但不管怎样
whether you like math or don't like math. I think this will be
不管你喜欢还是不喜欢数学 我想这是
a good English lesson for you. We all use math everyday
给你上一堂好的英语课 我们每天都用数学
somewhere. Whether it's figuring out how much money we
在某处不管是计算我们花了多少钱
need to pay for something and how much change we get or just
需要支付一些东西 以及我们能得到多少零钱 或者
trying to calculate how much we have to buy if we're building
试着计算如果我们在建房子我们要买多少
something. We sometimes need to use math. And so in this
某物我们有时需要使用数学 所以在这个
English lesson I'll talk a little bit about math. Um I
英语课我要讲一点数学 嗯我
have to admit some of the slides. There's a lot less
不得不承认一些幻灯片 少了很多
pictures in the slides and a lot more numbers in the slides.
幻灯片中的图片和幻灯片中的更多数字
So once again welcome to this English lesson about math. So
再次欢迎来到这节关于数学的英语课 所以
you'll notice I have the word math and I have the word maths
你会注意到我有“数学”这个词 我有“数学”这个词
here. And that's because is a difference between North
在这里这是因为北方和北方之间存在差异
American English where we use the short form math and British
美式英语 我们使用缩写形式的数学和英式英语
English where they often say math. So for me I just say
他们经常说数学的英语 所以对我来说我只是说
math. When I talk about numbers and adding and subtracting when
数学当我谈到数字和加减时
I talk about going to a class where I'm going to learn about
我谈论去一个我将要学习的课程
mathematics I would say math. I would just call it math class.
数学我会说数学 我就叫它数学课
So again if you are on the other side of the Atlantic if
如果你在大西洋的另一边
you are learning British English you would Most likely
你正在学习英国英语 你很可能
say maths and both are more common than the word
说数学 两者都比单词更常见
mathematics. We don't often say I'm going to take a class on
数学我们不常说我要上一门关于
mathematics. We would instead say I'm going to take a math
数学我们会说我要学数学
class. So mathematics the study of numbers and equations and
班所以数学就是研究数字、方程和
all of that fun stuff which I will explain in a bit. Uh math
所有这些有趣的东西 我将在稍后解释 数学
the short form that I use and maths the short form people
我使用的缩写形式和数学缩写形式的人
would use if they are over there in Britain across the
如果他们在世界各地的英国 他们会使用
way. We also have what's called basic arithmetic. So
方法我们还有所谓的基本算术 所以
mathematics is a general term for everything to do with math.
数学是与数学有关的一切事物的总称
But when we talk about basic arithmetic. We're talking about
但当我们谈论基本算术时 我们在谈论
adding, subtracting, multiplying and dividing. Kids
加、减、乘、除 孩子们
when they go to school one of the first things they learn is
当他们上学时 他们首先学到的是
basic arithmetic. They learn to read. They learn to write. And
基本算术 他们学习阅读 他们学习写作 和
they learn how to do basic arithmetic. So that's things
他们学习如何做基本的算术 事情就是这样
like this where you see two plus three which equals five by
就像这样 你会看到二加三等于五乘五
the way. So you're hearing me already start to use some of
顺便说一句 所以你听到我已经开始使用一些
the English language we would use when talking about math. So
我们谈论数学时使用的英语 所以
let's get to the four most common. So you'll notice I've
让我们来看看最常见的四种 所以你会注意到我
put a number of words at the top because some of these are
在顶部放一些单词 因为其中一些是
used to describe the equation and some are used to refer to
用于描述方程 有些用于参考
the equation. So when you add two numbers you use the plus
等式 所以当你加两个数时 你就用加号
sign and you end up with an equation like this. So if I
签名 你就会得到这样一个等式 所以如果我
wanted to add three and four I would say three plus four
想要加上三加四 我会说三加四
equals seven. So notice I'm Throwing words in there and I'm
等于七 请注意我在这里说的话
using things differently. I'm saying if I want to add two
使用不同的东西 我是说如果我想加两个
numbers I would write an equation like this. If I wanted
我会写一个这样的等式 如果我愿意
to add the number three and the number four I would say three
加上数字三和数字四 我会说三
plus four equals seven. So we would refer to all of this as
加四等于七 所以我们把所有这些都称为
addition. When you're learning about addition in school you're
附加当你在学校学习加法的时候
learning how to add numbers together and you would do that
学习如何将数字相加 你会做到这一点
by writing equations like this. Three plus four equals seven.
通过写这样的方程式 三加四等于七
Hopefully that made some said. It's the add and the plus are
希望这能让一些人说 这是加和加
used slightly differently if you've noticed. And then when
如果你注意到的话 使用方法会稍有不同 然后什么时候
you add two numbers together you get the sum. So the answer
你把两个数字相加 就得到了总数 那么答案是什么呢
when you have addition when you add two numbers together the
当你把两个数字相加时
answer is called the sum. And then we have subtraction. So
答案叫做总和 然后我们有减法 所以
when you subtract or when you take away or when you use minus
当你减法 拿走 或者用减法的时候
it's when you have one number and then you take a number away
当你有一个号码 然后你拿走了一个号码
from it to get a smaller number. So in this equation I
从中得到一个较小的数字 在这个等式中
would say this. Nine minus three equals six. I could also
我会这么说 九减三等于六 我也可以
say nine takeaway three is six or nine takeaway three equals
假设九外卖三等于六或九外卖三等于
six. Notice I use equals and is interchangeably when I talk
六注意 当我说话时 我使用equals和is互换
about equations. Um and I would the minus sign. We could also
关于方程式 我会用减号 我们也可以
say nine minus three equals six that works as well. Uh and
假设9减3等于6 这同样有效 嗯还有
again we would refer to this as subtraction. When you're
我们再次将其称为减法 当你
getting paid at work there's a lot of subtraction. You get a
在工作中获得报酬有很多减法 你得到一个
certain amount of money but then they take money away for
一定数量的钱 但他们会把钱拿走
certain things like benefits and taxes. They subtract a lot
某些事情 比如福利和税收 他们减去了很多
of money from your paycheck. And the difference or sorry and
从你的薪水中拿出一大笔钱 还有区别还是抱歉和
the answer to an equation where you're using subtraction. Uh
使用减法的等式的答案 UH
the answer is call the difference. So nine minus three
答案是称之为差异 九减三
equals six. The answer six is called the difference. I hope
等于六 答案六叫做差异 我希望
you're not getting too bored with this math lesson yet. Um I
你还没对这节数学课感到厌倦 嗯我
by the way I shouldn't say that should I? I think there are a
顺便说一句 我不该这么说 是吗？我认为有一个
lot of people who love math. I myself do like math. So I'm I'm
很多热爱数学的人 我自己也喜欢数学 所以我
assuming for most of you you're like me and enjoying this
假设你们大多数人都像我一样喜欢这个
lesson. Uh then we have another basic function sorry I
课程那我们还有一个基本功能抱歉
shouldn't use the word function. That's a higher level
不应该使用“函数”这个词 这是一个更高的层次
math. Another form of basic arithmetic is to multiply or to
数学基本算术的另一种形式是乘法或乘法
use the times sign. So this is called multiplication. That's a
使用时报标志 这就是乘法 这是个好主意
hard word to say. I almost said it wrong. Multiplication is
很难说 我差点说错了 乘法是
when you take numbers like two and you say two times three
当你取2这样的数字 然后说2乘以3
equals six. So when you multiply two by three you get
等于六 所以当你用2乘以3 你得到
six. Two times three equals six. Notice how just like add
六二乘三等于六 注意 就像add
and when I was talking about add and plus multiply in times
当我谈到时间的加法和加法乘法时
kind of work a little different as well. Two times three equals
工作也有点不同 二乘三等于
six. This is a multiplication question and in this question I
六这是一道乘法题 在这道题中我
will multiply two by three. I hope I'm not confusing you. But
2乘以3 我希望我没有把你搞糊涂 但是
do note again that multiply and times are used a little
请再次注意 乘法和时间使用得很少
differently when you talk about this equation. Let me say it
当你谈论这个等式时 情况就不同了 让我说吧
one more time. Two times three is six or two times three
再来一次 二乘三等于六或二乘三
equals six. And that is of course called a product. So the
等于六 这当然被称为产品 所以
answer when you multiply the answer to the question is
答案当你乘以这个问题的答案是
called the product. Two times three equals six six is the
称之为产品 2乘以3等于6等于6
product. And then we have division or when you divide. So
产品然后我们有分裂 或者当你分裂的时候 所以
when you have a number like thirty-five and you divide
当你有一个像35这样的数字 然后你除以
thirty-five by seven you get the answer of five. So I would
三十五乘七你得到五的答案 所以我会
say this. This equation is an example of division. In this
说吧 这个等式是除法的一个例子 在这个
question I'm saying thirty-five divides seven equals five. Or
问题我是说35除以7等于5 或
thirty-5 divides seven is five. So again we refer to it as
三十五除以七等于五 所以我们再次称之为
division. But when we talk about the action that's taking
分开但当我们谈论正在采取的行动时
place we use the verb divide. So 3-5 divide seven equals
我们使用动词divide的地方 所以3-5除以7等于
five. And the answer when you're doing division is called
五当你进行除法运算时 答案是
a quotient. So 3-5 divides seven equals five. Five is the
商 所以3-5除以7等于5 五是最重要的
quotient. So that was your basic arithmetic. Uh should I
商这就是你的基本算术 我应该吗
go over it real quick one more time? No. Let's just move on.
再快速检查一遍？不 我们继续吧
No let me go back. So you have addition subtraction.
不 让我回去 所以你有加减法
Multiplication. And division. I'm not sure why I didn't put
乘法 还有分裂 我不知道为什么我没有把
division in brackets. There were supposed to be like a
括号内的除法 应该有一个
visual reminder for you. But anyways those are the four
视觉提醒 但不管怎样 这是四个
parts of basic arithmetic. We also have long division. When
基本算术部分 我们也有长期的分歧 什么时候
you're talking about division there are a couple of ways to
你说的是分裂有几种方法
do it. This is what we refer to as long division. Where we put
去做吧 这就是我们所说的长除法 我们放在哪里
the number in the middle. The dividend and then we put this
中间的数字 股息 然后我们把这个
little bracket with a line kind of. And we have the divisor and
小括号里有一条线 我们有除数和
then on the top you'll eventually get the answer or
然后你最终会得到答案或答案
quotient. I'm not sure if you like doing long division. It
商我不确定你是否喜欢长除法 信息技术
was one of my favourite things to do. When I was in elementary
这是我最喜欢做的事情之一 我上小学的时候
school. Um and so you've heard me use this word a few times.
学校你听我说过好几次这个词
When you have numbers on a page with symbols like this for
当你在一页上有数字 上面有这样的符号
times four equals 16. This is called an equation. Okay? So
四乘以四等于16 这叫做方程式 可以所以
when you go to school and when you learn math you will have a
当你上学和学习数学时 你会有一个
lot of equations and there will be no answer. And you will in
有很多方程式 但没有答案 你会进来的
your mind need to figure out what the answer is. So luckily
你的大脑需要弄清楚答案是什么 真幸运
I can still remember that four times four equals sixteen. And
我仍然记得四乘四等于十六 和
that's an equation. Uh and you'll notice that there is an
这是一个等式 你会注意到有一个
equal sign or an equal sign in an equation. So the reason I
等号或等式中的等号 所以我
have two spellings here is because depending on where you
这里有两个拼写是因为取决于你在哪里
are you might say one or the other. I use both. So I would
你可能会说一个或另一个 我两者都用 所以我会
call this an equal sign or an equal sign. But if you're in
称之为等号或等号 但如果你在
America you might say one and if you're in Britain you might
在美国 你可能会说一个 如果你在英国 你可能会说一个
say the other. But Canada's kind of a mixture. Uh Canadian
另一个说 但加拿大是一种混合体 嗯 加拿大人
English is kind of a mixture of the two. And so I use both of
英语是两者的混合体 所以我使用这两种方法
them equally. So we have are called fractions. And a lot of
平等地对待他们 所以我们称之为分数 还有很多
times when kids learn fractions in school we usually show them
当孩子们在学校学习分数时 我们通常会给他们看
pie graphs or we we talk about pie for some reason. As you can
饼图或者我们谈论饼是出于某种原因 尽你所能
see this pie or pizza has eight slices. And three out of the
看这个派或披萨有八片 其中三个
eight slices are yellow. So we would say three eighths of the
八片是黄色的 所以我们可以说
pie is yellow. Or three eighths of the pizza is yellow. I'm
馅饼是黄色的 或者八分之三的披萨是黄色的 我是
pretty sure this isn't a pizza or a pie. Cuz I don't sure if
很确定这不是披萨或馅饼 因为我不确定
any pizza or pie is purple with yellow pieces and white pieces.
任何披萨或馅饼都是紫色的 上面有黄色和白色
But a fraction is when you Have one number on top of another
但分数是指一个数字叠加在另一个数字上
number. A numerator on top of a denominator. Um fractions are
数字分母上的分子 嗯 分数是
still used because we use we don't use metric for
仍然使用 因为我们使用我们不使用度量
everything. We still use what we call the imperial system. So
每件事我们仍然使用我们所说的帝制 所以
we measure things in Canada in feet and inches because of our
在加拿大 我们用英尺和英寸来测量事物 因为我们的
American neighbours. So we still use things like you need
美国的邻国 所以我们仍然使用你需要的东西
to cut this board six foot and one quarter inches. Or this
把这块木板切成六英尺四分之一英寸 还是这个
needs to be 12 and an eighth. So fractions are still used
必须是12和八分之一 所以分数仍然被使用
even though we've replaced them I think with decimals in
虽然我们已经用小数代替了它们
science and things like that. We also have the term percent.
科学之类的 我们还有百分比这个词
So when you have anything out of a 00 which actually if you
所以当你有00分的时候
look at percent it has the French word scent salt. So 100
看看它的法语单词“气味盐” 那么100
in it. So if you have a test and the test is out of a
在里面 所以 如果你有一个测试 而测试是在
hundred and you get ninety-three right you would
百分之九十三是正确的
have 93% on that test. So percent simply refers to a
在那次测试中有93%的分数 所以百分比只是指
number that is out of a hundred. So it's basically a
一百分之一的数字 所以它基本上是一个
fraction out of a hundred but instead of writing it over a
一百分之一的分数 但不是写在一张纸上
hundred we just put the percent sign after it. Then we have
我们只是在后面加上百分号 然后我们有
what's called a ratio. So when I think about ratios I think
这就是所谓的比率 所以当我想到比率的时候
when I mix oil and gas for my smallest lawn mower I need to
当我为我最小的割草机混合油气时 我需要
mix oil and gas in a ratio of one to four. So I put one part
将油和天然气按1:4的比例混合 所以我放了一部分
oil for every four parts gas and I mix that together and
每四份油加一份气 我把它们混合在一起
that's how the engine runs. So when you have a ratio you're
发动机就是这样运转的 所以当你有一个比率时
talking about well you could say things like this. How many
你可以这样说 有多少
men and women are at your workplace? And you could say oh
男男女女都在你的工作场所？你可以说哦
we have a ratio of one to one. For every man there's a woman
我们的比例是一比一 每个男人都有一个女人
working at our workplace. Or you could say oh what's the
在我们的工作场所工作 或者你可以说 哦 有什么问题
ratio of students to teachers? You could say well it's about
学生与教师的比例？你可以说是关于
30 to one. For every 30 students there's one teacher in
30比1 每30名学生中就有一名教师
the school. So that's ratio. And then similar to fractions
学校 这就是比例 然后类似于分数
we have decimals. So if you have a fraction one over two or
我们有小数 所以如果你有一个分数1/2或
a half we would call it. It is the same the decimal point five
我们称之为半小时 小数点五也是一样的
or 0. 5. So notice in my part of the world we use the. In.
或者0 5.请注意 在我所在的地区 我们使用 在里面
some parts of the world they use a comma as their decimal
在世界上的一些地方 他们使用逗号作为小数点
point. But for me if I am going to write a decimal I would
指向但对我来说 如果我要写一个小数 我会
write it this way. Um if you want to think of something like
这样写吧 如果你想想想
pie which is three point one four one five nine two six
派是三点一四一五九二六
five. Can't I can't go any further. I used to be able to
五我不能再往前走了 我以前能
go further. Uh there's a decimal point in pie. So three
再往前走 派上有个小数点 那么三个
one four one five nine two six five. Yeah there's something
一四一五九二六五 是的 有些事
something eight nine. Anyway so you guys can figure that out.
八九点 不管怎样 这样你们就能明白了
Not going to try and figure out pie to more than five or six
我不想把馅饼数超过五六个
decibel places. Um and then we have what's called an exponent
分贝位置 然后我们有了所谓的指数
or exponents. So if you see something like this in math.
或是倡导者 如果你在数学中看到类似的东西
Four to the power of two. The answer to this would be
四乘二 答案是
sixteen. It simply means that four needs to be multiplied by
十六这仅仅意味着四需要乘以
itself. So four to the four to the power of two when you have
它本身所以四比四等于二的幂
the exponent two. It means that you to multiply it by itself
指数二 这意味着你需要将它自身相乘
two times. Well once really. Four times four. I think you
两次 有一次真的 四乘四 我想你
know what I mean. We have something interesting in Canada
明白我的意思 我们在加拿大有一些有趣的事情
where we don't have pennies anymore. We don't have a one
我们再也没有硬币了 我们没有
cent coin in Canada. And so when you go to the store when
加拿大的美分硬币 所以当你去商店的时候
you pay it is always it's either they either need to
你付的钱总是他们需要的
round up or they need to round down to figure out what you
向上取整 否则他们需要向下取整才能弄清楚你想要什么
owe. So if I go to the store and if I buy something and the
欠所以如果我去商店买东西
total is a dollar three. If she says that will be a dollar
总共是三美元 如果她说那是一美元
three. Um the machine automatically charges me $1 5
三机器自动收费15美元
because we need to round up because there's no pennies I
因为我们需要凑齐 因为我没有硬币
can't pay 3 cents I can't give her a $1 coin, and then three
付不了三分钱我不能给她一个一美元的硬币然后三个
pennies because we don't have pennies anymore so we round up
便士因为我们已经没有便士了所以我们把钱凑起来
round up is when you take a number and you bring it to the
四舍五入是指你把一个数字带到
next highest number that makes the best cents for that
下一个最高的数字 使最好的美分
situation for us it would be to the next 5 cent points so 13
对于我们来说 接下来的5个百分点是13个百分点
becomes $15 when you go to a store here and then a two this
当你去这里的一家商店 然后再去这个商店 价格就变成了15美元
is where I'm happy because I save a bit of money. A two
这是我快乐的地方 因为我省了一点钱 两个
becomes a dollar at the store. So if I go to the store and I
在商店里变成了一美元 所以如果我去商店
buy some candy and the total is a dollar two I will be charged
买一些糖果 总共是一美元两 我要收
a dollar because they will round down to one dollar. Then
一美元 因为他们将四舍五入到一美元 然后
we have something like average. So average is when you have a
我们有点像平均水平 所以当你有一个
numbers a few numbers in a row and you want to know what the
一排几个数字 你想知道
common average is between them. So let's say this. Let's say
他们之间是共同的平均数 让我们这样说吧 比方说
one day I sold three bouquets. The next day I sold four
有一天我卖了三束花 第二天我卖掉了四个
bouquets and the next day I sold two bouquets. If you
花束第二天我卖了两束 如果你
wanted to know what's the average number of bouquets you
想知道你平均收到多少束花吗
sell per day you would do this. You would add three plus four
每天卖出你想要的东西 你可以加三加四
plus two and I put them in brackets so that I do the
加上2 我把它们放在括号里 这样我就可以
addition first. And then I would divide that by the number
首先是加法 然后我把它除以数字
of days. So divided by three. So it equals three. So three
好几天 所以除以三 所以它等于三 那么三个
plus four plus two equals nine divided by three equals three.
加四加二等于九除以三等于三
So it means on average I sell about three bouquets per day.
这意味着我平均每天卖出三束花
Students are always interested in knowing what their average
学生们总是有兴趣知道他们的平均水平
is. They get grades for all the work they do in class and then
是他们在课堂上做的所有工作都会得到分数 然后
they like to add them together and then figure out the average
他们喜欢把它们加在一起 然后算出平均值
and that's their the grade they're getting for the whole
这就是他们的整体成绩
class. So average. Uh you'll notice I just use brackets.
班很普通 你会注意到我只是用括号
Brackets are these little curved things that you put in
括号是你放进去的这些小弯曲的东西
an equation in order to tell the person what things they
一个方程式 用来告诉人们他们做了什么
should do first. Now there is a strategy I think it's called
我们应该先做 现在有一个策略我想它叫做
bedmass, brackets, exponents, division, multiplication,
底质 括号 指数 除法 乘法
addition, subtraction, there is an order that you're supposed
加法 减法 有一个顺序
to do. But when you put brackets in you can indicate
去做吧 但当你把括号放进去时 你可以表示
what order you want the equation to be solved in
你希望方程的求解顺序是什么
because if there were no brackets in this equation you
因为如果这个等式中没有括号
could solve it wrong if you didn't know what order to do
如果你不知道该怎么做 你可能会解决问题
things in. Um because the average wouldn't it wouldn't
里面的东西 因为平均水平不会 不会
come out correctly. I'm talking about math too much I think.
正确地说出来 我觉得我谈论数学太多了
Getting a foggy math braid right now. Anyways let's talk a
现在就有模糊的数学辫子 不管怎样 让我们谈一谈
little bit about algebra. Uh let me check where I am and
关于代数 让我看看我在哪里
then I'll pop into members only chat in a bit. Algebra. So at a
然后 我会突然进入会员聊天室 代数所以在
certain point in your math life you move beyond basic
在你的数学生活中的某个时刻 你超越了基础
arithmetic and you start to learn higher level math. In
算术 你开始学习更高水平的数学 在里面
schools in Canada students start learning algebra in about
加拿大的学校学生大约在两年后开始学习代数
grade six or seven. They get a small introduction to it. Uh
六年级或七年级 他们得到了一个小的介绍 UH
and they spend quite a bit of time in grade eight, nine and
他们在八年级、九年级和六年级花了很多时间
10 doing algebra and practicing algebra. So that's when you
10.做代数和练习代数 那就是你
have things like this. You're given an equation. Three X plus
有这样的东西 给你一个等式 三个X+
one equals seven. And then you to solve the equation. Now I've
一等于七 然后你去解方程 现在我已经
left out a step here. I left out the step where I moved the
这里漏了一步 我遗漏了我搬家的那一步
three to the other side and divide six by three. But you
三到另一边 六除以三 但是你
can see here three X plus one equals seven that means three X
可以看到这里的三X加一等于七 这意味着三X
equals six because if I move the one across it becomes a
等于6 因为如果我移动一个 它就会变成一个
negative we get three X equals six and X equals 2. I might
负 我们得到三个X=6 X=2 我可能
have left out two steps when I was solving this equation. But
当我解这个方程时 省略了两个步骤 但是
algebra is the the study of math where you have variables
代数是一门学习数学的学科 你可以在其中学习变量
like the letter X is a variable and Then you have equations
比如字母X是一个变量 然后你就有了方程
where you either are solving for the variable or you're
你要么求解变量 要么
factoring or you're expanding. You're doing things with the
或者你在扩张 你是在和
equation in order to figure out different things. Algebra's a
为了找出不同的东西 代数是一门学问
lot of fun. Hard word to say. Maybe. Algebra. Maybe not. We
很有趣 很难说 大概代数也许不是 我们
also have geometry. Let me make this a bit bigger. Geometry is
还有几何学 让我把这个放大一点 几何是
an area of mathematics where you're studying shapes. So
一个你研究形状的数学领域 所以
you're studying circles and triangles and squares in
你在研究圆、三角形和正方形
rectangles. You're learning about perimeter and area And
矩形 你正在学习周长、面积和
you're learning about diameter and radius and those kinds of
你正在学习直径和半径以及那些
things. So geometry is the study of shapes. Um this was
东西 所以几何是研究形状的 这是
also one of my favourite types of math. Geometry was a lot of
也是我最喜欢的数学类型之一 几何学是非常重要的
fun. And then I just mentioned the word variable. So in math
享乐然后我提到了变量这个词 所以在数学方面
at a certain point when you start studying algebra you will
当你开始学习代数时 你会
start to see variables. You'll see equations like minus seven
开始查看变量 你会看到像-7这样的方程式
C equals 21. Then you'll have to solve that. Minus seven C
C等于21 那你就得解决这个问题 零下七摄氏度
equals 21. That would mean C equals minus three I think.
等于21 我想这意味着C等于负三
Again don't quote me on this. I am not a math expert and I am
再一次不要引用我的话 我不是数学专家 我是
not a math teacher. But I do remember some math from my
不是数学老师 但我确实记得我父母的一些数学知识
life. So we saw some of this in the chat already. We have the
生活我们已经在聊天中看到了一些 我们有
greater than sign. When you see something like this you would
大于符号 当你看到这样的事情你会
say that this is true. Four is greater than three. The way
说这是真的 四大于三 顺便
they taught me in elementary school the way to remember this
他们在小学教我如何记住这一点
is that if you picture the greater than sign as a mouth
如果你把大于符号想象成嘴巴
they always said to pretend it's an alligator the alligator
他们总是说假装是鳄鱼鳄鱼
always wants to eat the bigger number that's how you know
总是想吃更多的那就是你知道的
which way to put the greater than sign and notice up here
哪种方式可以在这里贴上“大于”的标志和通知
it's than T H A N so that is a greater than sign four is
这是一个大于四的符号
greater than three. I'm over pronouncing than right now.
大于三 我的发音比现在多了
When we say than really quickly it does sound like then. So I
当我们说得比真的快时 听起来确实像是那样 所以我
would say Four is greater than three. If I say it fast I would
四比三大 如果我说得快 我会的
say four is greater than three. And it sounds a little bit like
假设四大于三 听起来有点像
then but it is then. And of course we have less than. So
然后就是那时了 当然 我们拥有的还不到 所以
three is less than four. Notice the alligator is trying to eat
三比四小 注意鳄鱼正试图吃东西
the bigger number again. So again if you were to compare
还是更大的数字 同样 如果你要比较
numbers and if you wanted to write that you would say four
数字 如果你想写 你会说四
is greater than three. And three is less than four. So I
大于三 三比四小 所以我
talked about this earlier a bit. One of the cool things
我之前说过 最酷的事情之一
about the world and one of the negative things about the world
关于这个世界 也是关于这个世界的一个负面因素
is that we have calculators. So calculators are handy little
就是我们有计算器 所以计算器很方便
devices that we use to solve math problems. Or to figure out
我们用来解决数学问题的设备 或者去弄清楚
the answer to equations. I think maybe I'm old here but I
方程式的答案 我想我可能老了 但我
think kids use calculators way too much. I think that kids
认为孩子们使用计算器太多了 我觉得孩子们
should know how to do a lot of basic arithmetic in their heads
应该知道如何在头脑中做很多基本的算术
if not all of it. You should know your timestable up to 10
如果不是全部的话 你应该知道你最多10分钟的时间表
or 12. Like you should be able to do like 12 times one is
或者12个 你应该能做到12倍于1
twelve. 12 times two is 2-four. Twelve times three is
十二12乘以2等于2-4 十二乘三等于
thirty-six. 12 times four is 4-8. I gotta stop now. I think
三十六 12乘以4等于4-8 我得停下来了 我想
the next answer is 60 though. But anyways a calculator is a
下一个答案是60 但不管怎样 计算器是一种工具
handy device that will help you do math. And you even have a
方便的设备 将帮助你做数学 你甚至有一个
scientific calculator. I don't know all the details but we
科学计算器 我不知道所有细节 但我们
would just call this a calculator and when it has this
我们可以把它叫做计算器 当它有了这个
many buttons when it has sign and cosign and tangent when it
许多按钮 当它有符号和余弦和切线时
lets you do exponents and square roots. We would call
让你做指数和平方根 我们会打电话
this a scientific calculator. And then above that we would
这是一台科学计算器 除此之外 我们还将
have what you would call a graphic calculator. Generally
有一个图形计算器 通常地
students don't buy a normal calculator for school. When
学生在学校不买普通的计算器 什么时候
they get to some of the upper level math they need a
他们需要学习一些高级数学
scientific calculator and when they get into the maths where
科学计算器 当他们进入数学领域时
they need to do some graphing they will most likely get a
他们需要做一些绘图 他们很可能会得到一个
graphing calculator. So this is a cool calculator because not
图形计算器 这是一个很酷的计算器 因为不是
only can you do math equations. You can actually have it graph
只有你会做数学方程式 你可以把它画出来
some of those equations for you. A long time ago there was
这些方程式中有一些是给你的 很久以前有
something called an abacus. When I was in grade one when I
一种叫做算盘的东西 我在一年级的时候
was like six or seven years old there was an abacus in my
大概六七岁的时候我的脑子里有一个算盘
classroom that we could play with and our teacher taught us
我们可以玩的教室 老师教我们的
how to use it. We didn't use it in math class but we used it of
如何使用它 我们在数学课上没有用它 但我们经常用它
as something we learned in history class. An abacus is a
作为我们在历史课上学到的东西 算盘是一种工具
way to do mathemat to do counting adding and subtracting
做数学的方法做加法和减法
in other calculations. Um but I don't actually know how to use
在其他计算中 但我不知道怎么用
one. But pretty cool little device that was used for
一但这是一个非常酷的小装置
hundreds of years. Um when people needed to I bet you they
几百年了 当人们需要的时候我打赌他们
used it a lot when they were selling stuff to add big
在他们卖东西的时候经常用它来增加收入
numbers. Again I talked about a graph. A graph has an X and Y
数字 我又谈到了一个图表 图形有X和Y
axis. Um and it is used in two dimensions to graph something
轴它被用于二维图形中
like this. You can graph quadratic equations. You can
这样地 你可以画二次方程 你可以
graph. Um if you have a line segment you can put it onto the
图表如果你有一条线段 你可以把它放在
graph and you could kind of see the math. I won't go into too
你可以看到数学 我也不想进去
many more details than that. But a graph is something that
还有更多的细节 但图形是
when you get to higher level math you will start to do very
当你达到更高的数学水平时 你将开始做得非常好
very complex graphs. And then I mentioned this earlier as well.
非常复杂的图形 然后我之前也提到了这一点
When you take a class I would simply call it a math class. I
当你上课时 我会简单地称之为数学课 我
wouldn't call it a mathematics class. That's that just sounds
不会叫它数学课 听起来就是这样
really really formal. I would say I'm taking a math class at
非常正式 我会说我要在学校上数学课
university or I'm taking a math class at high school. Now you
否则我高中要上数学课 现在你
might get specific and you might say I'm taking calculus
你可能会说我在学微积分
or I'm taking trigonometry or I'm taking advanced geometry.
或者我学的是三角学 或者我学的是高等几何
Or you might be even more specific and say you know I'm
或者你可以更具体地说你知道我
taking calculus two which is the second class. So a math
学习微积分二 这是第二门课 那么数学呢
class this would be a general term to describe a class where
这是一个通用术语 用来描述
you learn about math. And then the teacher's called a math
你学习数学 然后老师就叫数学
teacher.
教师
