Free English Class! Topic: Math! ➗➕➖ (Lesson Only)

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2022-04-10・ 1616

Learn English with Bob the Canadian channel


Math isn't everyone's favourite thing, but I thought I should create an English lesson about it anyways! I think it's a great time for you to learn some English words and phrases about math! In this free English class I'll help you learn all of the different words and phrases you will need to know so you can talk about math. After all, we all use math everyday, so it's a good idea to learn how to talk about it in English! In this English lesson you'll learn words and phrases like: decimal, equation, abacus, add, addition, subtract, subtraction, fraction, ratio, average, percent, and more! I hope you enjoy this English lesson about math! ⌛ Remember: Always watch the video three times. Twice today with English subtitles on, and once tomorrow with the English subtitles off. This will reinforce the English you have learned! -- ✅ Support Me and Get These Members Only Perks: 😀💲 If you would like to become a member of my channel here is the link: https://www.youtube.com/channel/UCZJJTxA36ZPNTJ1WFIByaeA/join Becoming a member at every level has these benefits and perks: 1) For 10 minutes during each live stream you will be able to participate in the "Members Only" chat. 2) A cool crown beside your name during live streams and when making comments on videos. 3) Your name in green during live stream lesson chat. 4) You will have access to a members only video each Wednesday called, "Wednesdays with Bob". These are behind the scenes bonus videos with full English transcripts for your listening practice. 5) A full transcript for every Tuesday video. ✅ Join now to receive these perks: https://www.youtube.com/channel/UCZJJTxA36ZPNTJ1WFIByaeA/join I really appreciate those you that have chosen to thank me in this way! Please only support me if you can afford it! If you prefer to support me via Patreon, here is a link to that page: https://www.patreon.com/bobthecanadian Thank you for your generosity! -- ✅SEND ME A POSTCARD: Bob the Canadian P.O. Box 419 Smithville, Ontario Canada L0R2A0 -- TAKE YOUR ENGLISH CONVERSATIONS TO THE NEXT LEVEL: ✅Talk to a real English tutor / teacher at preply: http://tracking.preply.com/SH2X (This is an affiliate, signing up for this service helps support my channel). -- FOLLOW ME: ✅ I have a second Youtube channel right here: https://www.youtube.com/channel/UCmW5tmKIBrryNf5n-_A6Fmw ✅ P.S. If you are interested I have created a podcast of my shorter English lessons. It is right here: https://www.buzzsprout.com/1310116 -- #englishlesson #learnenglish #bobthecanadian **Note: All images used under: CC0 License ✓ Free for personal and commercial use ✓ No attribution required From pexels.com or pixabay.com

Instruction

Double-click on the English captions to play the video from there.

00:00
Well hello and welcome to this english lesson about math. I'm
00:03
not sure which subjects in school were your favourite.
00:07
Maybe math class was an enjoyable place for you to be.
00:11
Maybe math class was really really boring. But either way
00:15
whether you like math or don't like math. I think this will be
00:19
a good English lesson for you. We all use math everyday
00:23
somewhere. Whether it's figuring out how much money we
00:27
need to pay for something and how much change we get or just
00:31
trying to calculate how much we have to buy if we're building
00:35
something. We sometimes need to use math. And so in this
00:38
English lesson I'll talk a little bit about math. Um I
00:42
have to admit some of the slides. There's a lot less
00:46
pictures in the slides and a lot more numbers in the slides.
00:51
So once again welcome to this English lesson about math. So
00:56
you'll notice I have the word math and I have the word maths
00:59
here. And that's because is a difference between North
01:02
American English where we use the short form math and British
01:07
English where they often say math. So for me I just say
01:11
math. When I talk about numbers and adding and subtracting when
01:15
I talk about going to a class where I'm going to learn about
01:19
mathematics I would say math. I would just call it math class.
01:23
So again if you are on the other side of the Atlantic if
01:27
you are learning British English you would Most likely
01:31
say maths and both are more common than the word
01:35
mathematics. We don't often say I'm going to take a class on
01:40
mathematics. We would instead say I'm going to take a math
01:43
class. So mathematics the study of numbers and equations and
01:48
all of that fun stuff which I will explain in a bit. Uh math
01:52
the short form that I use and maths the short form people
01:56
would use if they are over there in Britain across the
02:00
way. We also have what's called basic arithmetic. So
02:05
mathematics is a general term for everything to do with math.
02:09
But when we talk about basic arithmetic. We're talking about
02:13
adding, subtracting, multiplying and dividing. Kids
02:17
when they go to school one of the first things they learn is
02:20
basic arithmetic. They learn to read. They learn to write. And
02:24
they learn how to do basic arithmetic. So that's things
02:28
like this where you see two plus three which equals five by
02:32
the way. So you're hearing me already start to use some of
02:35
the English language we would use when talking about math. So
02:40
let's get to the four most common. So you'll notice I've
02:44
put a number of words at the top because some of these are
02:47
used to describe the equation and some are used to refer to
02:52
the equation. So when you add two numbers you use the plus
02:56
sign and you end up with an equation like this. So if I
03:00
wanted to add three and four I would say three plus four
03:04
equals seven. So notice I'm Throwing words in there and I'm
03:09
using things differently. I'm saying if I want to add two
03:13
numbers I would write an equation like this. If I wanted
03:16
to add the number three and the number four I would say three
03:19
plus four equals seven. So we would refer to all of this as
03:25
addition. When you're learning about addition in school you're
03:29
learning how to add numbers together and you would do that
03:32
by writing equations like this. Three plus four equals seven.
03:37
Hopefully that made some said. It's the add and the plus are
03:40
used slightly differently if you've noticed. And then when
03:44
you add two numbers together you get the sum. So the answer
03:47
when you have addition when you add two numbers together the
03:51
answer is called the sum. And then we have subtraction. So
03:58
when you subtract or when you take away or when you use minus
04:02
it's when you have one number and then you take a number away
04:07
from it to get a smaller number. So in this equation I
04:10
would say this. Nine minus three equals six. I could also
04:15
say nine takeaway three is six or nine takeaway three equals
04:19
six. Notice I use equals and is interchangeably when I talk
04:24
about equations. Um and I would the minus sign. We could also
04:28
say nine minus three equals six that works as well. Uh and
04:32
again we would refer to this as subtraction. When you're
04:37
getting paid at work there's a lot of subtraction. You get a
04:42
certain amount of money but then they take money away for
04:46
certain things like benefits and taxes. They subtract a lot
04:50
of money from your paycheck. And the difference or sorry and
04:54
the answer to an equation where you're using subtraction. Uh
04:58
the answer is call the difference. So nine minus three
05:01
equals six. The answer six is called the difference. I hope
05:06
you're not getting too bored with this math lesson yet. Um I
05:09
by the way I shouldn't say that should I? I think there are a
05:12
lot of people who love math. I myself do like math. So I'm I'm
05:17
assuming for most of you you're like me and enjoying this
05:20
lesson. Uh then we have another basic function sorry I
05:26
shouldn't use the word function. That's a higher level
05:28
math. Another form of basic arithmetic is to multiply or to
05:34
use the times sign. So this is called multiplication. That's a
05:38
hard word to say. I almost said it wrong. Multiplication is
05:41
when you take numbers like two and you say two times three
05:45
equals six. So when you multiply two by three you get
05:50
six. Two times three equals six. Notice how just like add
05:55
and when I was talking about add and plus multiply in times
06:01
kind of work a little different as well. Two times three equals
06:05
six. This is a multiplication question and in this question I
06:10
will multiply two by three. I hope I'm not confusing you. But
06:14
do note again that multiply and times are used a little
06:18
differently when you talk about this equation. Let me say it
06:21
one more time. Two times three is six or two times three
06:25
equals six. And that is of course called a product. So the
06:29
answer when you multiply the answer to the question is
06:33
called the product. Two times three equals six six is the
06:36
product. And then we have division or when you divide. So
06:42
when you have a number like thirty-five and you divide
06:45
thirty-five by seven you get the answer of five. So I would
06:50
say this. This equation is an example of division. In this
06:55
question I'm saying thirty-five divides seven equals five. Or
06:59
thirty-5 divides seven is five. So again we refer to it as
07:03
division. But when we talk about the action that's taking
07:06
place we use the verb divide. So 3-5 divide seven equals
07:11
five. And the answer when you're doing division is called
07:14
a quotient. So 3-5 divides seven equals five. Five is the
07:20
quotient. So that was your basic arithmetic. Uh should I
07:24
go over it real quick one more time? No. Let's just move on.
07:27
No let me go back. So you have addition subtraction.
07:32
Multiplication. And division. I'm not sure why I didn't put
07:35
division in brackets. There were supposed to be like a
07:38
visual reminder for you. But anyways those are the four
07:42
parts of basic arithmetic. We also have long division. When
07:48
you're talking about division there are a couple of ways to
07:51
do it. This is what we refer to as long division. Where we put
07:55
the number in the middle. The dividend and then we put this
07:58
little bracket with a line kind of. And we have the divisor and
08:02
then on the top you'll eventually get the answer or
08:04
quotient. I'm not sure if you like doing long division. It
08:08
was one of my favourite things to do. When I was in elementary
08:12
school. Um and so you've heard me use this word a few times.
08:17
When you have numbers on a page with symbols like this for
08:21
times four equals 16. This is called an equation. Okay? So
08:25
when you go to school and when you learn math you will have a
08:29
lot of equations and there will be no answer. And you will in
08:32
your mind need to figure out what the answer is. So luckily
08:36
I can still remember that four times four equals sixteen. And
08:42
that's an equation. Uh and you'll notice that there is an
08:46
equal sign or an equal sign in an equation. So the reason I
08:51
have two spellings here is because depending on where you
08:54
are you might say one or the other. I use both. So I would
08:59
call this an equal sign or an equal sign. But if you're in
09:03
America you might say one and if you're in Britain you might
09:06
say the other. But Canada's kind of a mixture. Uh Canadian
09:11
English is kind of a mixture of the two. And so I use both of
09:15
them equally. So we have are called fractions. And a lot of
09:20
times when kids learn fractions in school we usually show them
09:24
pie graphs or we we talk about pie for some reason. As you can
09:29
see this pie or pizza has eight slices. And three out of the
09:35
eight slices are yellow. So we would say three eighths of the
09:39
pie is yellow. Or three eighths of the pizza is yellow. I'm
09:43
pretty sure this isn't a pizza or a pie. Cuz I don't sure if
09:46
any pizza or pie is purple with yellow pieces and white pieces.
09:50
But a fraction is when you Have one number on top of another
09:54
number. A numerator on top of a denominator. Um fractions are
09:58
still used because we use we don't use metric for
10:04
everything. We still use what we call the imperial system. So
10:08
we measure things in Canada in feet and inches because of our
10:12
American neighbours. So we still use things like you need
10:17
to cut this board six foot and one quarter inches. Or this
10:21
needs to be 12 and an eighth. So fractions are still used
10:24
even though we've replaced them I think with decimals in
10:28
science and things like that. We also have the term percent.
10:32
So when you have anything out of a 00 which actually if you
10:37
look at percent it has the French word scent salt. So 100
10:41
in it. So if you have a test and the test is out of a
10:44
hundred and you get ninety-three right you would
10:47
have 93% on that test. So percent simply refers to a
10:51
number that is out of a hundred. So it's basically a
10:55
fraction out of a hundred but instead of writing it over a
10:59
hundred we just put the percent sign after it. Then we have
11:03
what's called a ratio. So when I think about ratios I think
11:08
when I mix oil and gas for my smallest lawn mower I need to
11:13
mix oil and gas in a ratio of one to four. So I put one part
11:18
oil for every four parts gas and I mix that together and
11:22
that's how the engine runs. So when you have a ratio you're
11:26
talking about well you could say things like this. How many
11:29
men and women are at your workplace? And you could say oh
11:33
we have a ratio of one to one. For every man there's a woman
11:37
working at our workplace. Or you could say oh what's the
11:40
ratio of students to teachers? You could say well it's about
11:44
30 to one. For every 30 students there's one teacher in
11:48
the school. So that's ratio. And then similar to fractions
11:55
we have decimals. So if you have a fraction one over two or
11:59
a half we would call it. It is the same the decimal point five
12:04
or 0. 5. So notice in my part of the world we use the. In.
12:10
some parts of the world they use a comma as their decimal
12:13
point. But for me if I am going to write a decimal I would
12:16
write it this way. Um if you want to think of something like
12:21
pie which is three point one four one five nine two six
12:24
five. Can't I can't go any further. I used to be able to
12:27
go further. Uh there's a decimal point in pie. So three
12:32
one four one five nine two six five. Yeah there's something
12:35
something eight nine. Anyway so you guys can figure that out.
12:38
Not going to try and figure out pie to more than five or six
12:42
decibel places. Um and then we have what's called an exponent
12:46
or exponents. So if you see something like this in math.
12:51
Four to the power of two. The answer to this would be
12:54
sixteen. It simply means that four needs to be multiplied by
12:58
itself. So four to the four to the power of two when you have
13:03
the exponent two. It means that you to multiply it by itself
13:07
two times. Well once really. Four times four. I think you
13:11
know what I mean. We have something interesting in Canada
13:16
where we don't have pennies anymore. We don't have a one
13:20
cent coin in Canada. And so when you go to the store when
13:25
you pay it is always it's either they either need to
13:29
round up or they need to round down to figure out what you
13:33
owe. So if I go to the store and if I buy something and the
13:38
total is a dollar three. If she says that will be a dollar
13:42
three. Um the machine automatically charges me $1 5
13:46
because we need to round up because there's no pennies I
13:50
can't pay 3 cents I can't give her a $1 coin, and then three
13:54
pennies because we don't have pennies anymore so we round up
13:57
round up is when you take a number and you bring it to the
14:02
next highest number that makes the best cents for that
14:05
situation for us it would be to the next 5 cent points so 13
14:10
becomes $15 when you go to a store here and then a two this
14:15
is where I'm happy because I save a bit of money. A two
14:18
becomes a dollar at the store. So if I go to the store and I
14:22
buy some candy and the total is a dollar two I will be charged
14:26
a dollar because they will round down to one dollar. Then
14:32
we have something like average. So average is when you have a
14:37
numbers a few numbers in a row and you want to know what the
14:42
common average is between them. So let's say this. Let's say
14:46
one day I sold three bouquets. The next day I sold four
14:51
bouquets and the next day I sold two bouquets. If you
14:54
wanted to know what's the average number of bouquets you
14:58
sell per day you would do this. You would add three plus four
15:01
plus two and I put them in brackets so that I do the
15:04
addition first. And then I would divide that by the number
15:08
of days. So divided by three. So it equals three. So three
15:11
plus four plus two equals nine divided by three equals three.
15:16
So it means on average I sell about three bouquets per day.
15:20
Students are always interested in knowing what their average
15:23
is. They get grades for all the work they do in class and then
15:27
they like to add them together and then figure out the average
15:31
and that's their the grade they're getting for the whole
15:34
class. So average. Uh you'll notice I just use brackets.
15:41
Brackets are these little curved things that you put in
15:45
an equation in order to tell the person what things they
15:51
should do first. Now there is a strategy I think it's called
15:55
bedmass, brackets, exponents, division, multiplication,
15:59
addition, subtraction, there is an order that you're supposed
16:01
to do. But when you put brackets in you can indicate
16:05
what order you want the equation to be solved in
16:08
because if there were no brackets in this equation you
16:11
could solve it wrong if you didn't know what order to do
16:14
things in. Um because the average wouldn't it wouldn't
16:18
come out correctly. I'm talking about math too much I think.
16:21
Getting a foggy math braid right now. Anyways let's talk a
16:26
little bit about algebra. Uh let me check where I am and
16:29
then I'll pop into members only chat in a bit. Algebra. So at a
16:34
certain point in your math life you move beyond basic
16:39
arithmetic and you start to learn higher level math. In
16:42
schools in Canada students start learning algebra in about
16:46
grade six or seven. They get a small introduction to it. Uh
16:50
and they spend quite a bit of time in grade eight, nine and
16:54
10 doing algebra and practicing algebra. So that's when you
16:58
have things like this. You're given an equation. Three X plus
17:01
one equals seven. And then you to solve the equation. Now I've
17:05
left out a step here. I left out the step where I moved the
17:08
three to the other side and divide six by three. But you
17:11
can see here three X plus one equals seven that means three X
17:15
equals six because if I move the one across it becomes a
17:18
negative we get three X equals six and X equals 2. I might
17:22
have left out two steps when I was solving this equation. But
17:25
algebra is the the study of math where you have variables
17:30
like the letter X is a variable and Then you have equations
17:33
where you either are solving for the variable or you're
17:38
factoring or you're expanding. You're doing things with the
17:41
equation in order to figure out different things. Algebra's a
17:45
lot of fun. Hard word to say. Maybe. Algebra. Maybe not. We
17:50
also have geometry. Let me make this a bit bigger. Geometry is
17:54
an area of mathematics where you're studying shapes. So
17:57
you're studying circles and triangles and squares in
18:01
rectangles. You're learning about perimeter and area And
18:05
you're learning about diameter and radius and those kinds of
18:09
things. So geometry is the study of shapes. Um this was
18:13
also one of my favourite types of math. Geometry was a lot of
18:17
fun. And then I just mentioned the word variable. So in math
18:25
at a certain point when you start studying algebra you will
18:29
start to see variables. You'll see equations like minus seven
18:34
C equals 21. Then you'll have to solve that. Minus seven C
18:39
equals 21. That would mean C equals minus three I think.
18:43
Again don't quote me on this. I am not a math expert and I am
18:47
not a math teacher. But I do remember some math from my
18:51
life. So we saw some of this in the chat already. We have the
18:56
greater than sign. When you see something like this you would
18:59
say that this is true. Four is greater than three. The way
19:04
they taught me in elementary school the way to remember this
19:07
is that if you picture the greater than sign as a mouth
19:12
they always said to pretend it's an alligator the alligator
19:15
always wants to eat the bigger number that's how you know
19:18
which way to put the greater than sign and notice up here
19:23
it's than T H A N so that is a greater than sign four is
19:28
greater than three. I'm over pronouncing than right now.
19:33
When we say than really quickly it does sound like then. So I
19:37
would say Four is greater than three. If I say it fast I would
19:41
say four is greater than three. And it sounds a little bit like
19:44
then but it is then. And of course we have less than. So
19:49
three is less than four. Notice the alligator is trying to eat
19:52
the bigger number again. So again if you were to compare
19:56
numbers and if you wanted to write that you would say four
19:59
is greater than three. And three is less than four. So I
20:05
talked about this earlier a bit. One of the cool things
20:09
about the world and one of the negative things about the world
20:12
is that we have calculators. So calculators are handy little
20:16
devices that we use to solve math problems. Or to figure out
20:23
the answer to equations. I think maybe I'm old here but I
20:27
think kids use calculators way too much. I think that kids
20:32
should know how to do a lot of basic arithmetic in their heads
20:36
if not all of it. You should know your timestable up to 10
20:40
or 12. Like you should be able to do like 12 times one is
20:43
twelve. 12 times two is 2-four. Twelve times three is
20:46
thirty-six. 12 times four is 4-8. I gotta stop now. I think
20:50
the next answer is 60 though. But anyways a calculator is a
20:53
handy device that will help you do math. And you even have a
20:58
scientific calculator. I don't know all the details but we
21:02
would just call this a calculator and when it has this
21:05
many buttons when it has sign and cosign and tangent when it
21:09
lets you do exponents and square roots. We would call
21:12
this a scientific calculator. And then above that we would
21:16
have what you would call a graphic calculator. Generally
21:20
students don't buy a normal calculator for school. When
21:25
they get to some of the upper level math they need a
21:28
scientific calculator and when they get into the maths where
21:32
they need to do some graphing they will most likely get a
21:35
graphing calculator. So this is a cool calculator because not
21:39
only can you do math equations. You can actually have it graph
21:43
some of those equations for you. A long time ago there was
21:47
something called an abacus. When I was in grade one when I
21:51
was like six or seven years old there was an abacus in my
21:54
classroom that we could play with and our teacher taught us
21:58
how to use it. We didn't use it in math class but we used it of
22:02
as something we learned in history class. An abacus is a
22:06
way to do mathemat to do counting adding and subtracting
22:10
in other calculations. Um but I don't actually know how to use
22:16
one. But pretty cool little device that was used for
22:19
hundreds of years. Um when people needed to I bet you they
22:24
used it a lot when they were selling stuff to add big
22:27
numbers. Again I talked about a graph. A graph has an X and Y
22:32
axis. Um and it is used in two dimensions to graph something
22:36
like this. You can graph quadratic equations. You can
22:40
graph. Um if you have a line segment you can put it onto the
22:44
graph and you could kind of see the math. I won't go into too
22:48
many more details than that. But a graph is something that
22:52
when you get to higher level math you will start to do very
22:56
very complex graphs. And then I mentioned this earlier as well.
23:02
When you take a class I would simply call it a math class. I
23:06
wouldn't call it a mathematics class. That's that just sounds
23:09
really really formal. I would say I'm taking a math class at
23:13
university or I'm taking a math class at high school. Now you
23:19
might get specific and you might say I'm taking calculus
23:22
or I'm taking trigonometry or I'm taking advanced geometry.
23:26
Or you might be even more specific and say you know I'm
23:30
taking calculus two which is the second class. So a math
23:34
class this would be a general term to describe a class where
23:38
you learn about math. And then the teacher's called a math
23:41
teacher.
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