Scaled Measurements | math | الصف الرابع الابتدائي
hi my dear students fourth primary now
information and data are present in our
lives in many forms they handle
information with data field tables such
as schedule of classes and various
graphs in primary 2 and 3 we saw a lot
of graphs in mathematics lessons
including bar graphs and line plots we
knew that the graph is ill-graphed it is
a way of displaying the data
we can so
a lot of information from it once we
read it
we drew a lot of graphs including graphs
in the information technology subject
this year when you learned how to create
graphs on the computer in our lesson
today lesson seven scale measurements in
unit three we will learn how to create a
line plot another zynami line plot and
select an
appropriate
key
and scale for it we will be able then to
explore the information
from any graph
before you move to the graphs let's
review together one of the tools we used
before
which is the fact triangles we have here
on the board let's see it all together
here i have the three triangles as you
see in these triangles we used to carry
out addition and subtraction for the
numbers in each corner challenge of
anomaly in that triangles we have today
we will use the numbers in each corner
of the triangle assemble multiplication
and division operations
which we had studied before in
a primary three
type let's see in the first triangle
this is the first triangle we have the
numbers six and seven this is the first
triangle here
as you see here i have six and seven
type
if we multiply them together multi-six
times seven we will get what yes we will
get the number of the third corner so if
i make seven times six equals
7 times 6 equals 42. but the third
corner here is 42.
type so the number in the third corner
equals 42 as i said now we can certainly
divide forty two by six double or
numbers forty two by six the answer is
what lower number forty two
divided by six forty two divided by six
who can guess yes forty two divided by
six gives me seven type if i did 42
divided by 7 lambda 42 divided by 7
gives me what yes of course gives me 6.
but you should have noted that knowing
multiplication could help us in division
because both are related to each other
multiplication or division related to
each other meaning we when we multiply
six by seven it didn't e 42 type if i
divide 42 by 6 britney seven and when i
divide 42 by seven gives me six
this is the relation between the
multiplication and division and this
emphasize that multiplication and
division are inverse operations
inverse operation x about
type now let's move to the second
triangle and here is the second triangle
as you see here we have num two numbers
50 and 450 this is 50 and this is 450
so if i divide 450 ah finta banfield
division i start with the biggest number
right
who can tell me if i divide 450 by 50
gives me what yes 450
by divided by 50 gives me
9
i will
cross these two zeros with each other
and 45 divided by 5 equals what of
course equals nine
so nine is the third angle here a y here
equals nine
type who can tell me if i multiply nine
times fifty learn how to melt nine times
fifty gives me what
9 times 50 equals yes excellent 9 times
50 must gives me 450
okay
type who can tell me if i multiply 50
times nine the same
two gives me four hundred and fifty
so the numbers in the triangle are what
are
fifty four hundred and fifty and nine
now let's move to the third triangle
triangle number three this is triangle
number three
as you see here i have two angles which
are 36 and six here is 36
the second angle is six
so who can tell me if i divide the
biggest number 36 by 6 gives me what yes
36 divided by 6 gives me 6.
excellent
so the third number or the third angle
will be
6. this z the unknown angle equals to
six
type now we have revised some
multiplication and division operations
and we know that they are inverse
operations halo sarif and multiplication
will division they are inverse
operations now let's explore how we will
perform multiplication and division
operations in the activity form with
facts in your school book on page 130
139 under the title of access now let's
see all together
here in your school book in accessport
as you see we have two numbers okay
like you see here
we have two numbers type i will think
for every two numbers if i will multiply
or divide them
times bad or divided
e i will match them with the number that
belongs to them in the opposite column
just in anaheim
let's see type i'll give you some time
to match the numbers and after you
finish we will review together the
results of this matching
and now after you have finished let's
review the answers all together in
problem number one as you see here i
have two numbers which are six
and forty eight type hamilt division or
multiply yes if i divide 48 by six the
answer is eight
so where's the answer here yes the
answer eight a letter c
monk and i'm matching i can write the
letter beside it type talent problem
number two in problem number two i have
two numbers which are eight and
seventy-two hamil e i will divide the
biggest number 72 divided by eight who
can tell me 72 divided by eight gives me
yes gives me nine so
which letter should i use
this is nine so i will write here letter
d
let's move to problem number three in
problem number three we have here two
numbers which are nine and 5 so small
number i can multiply them together who
can tell me 5 times 9 gives me what yes
the answer is
45 so i will choose what yes this is my
answer letter a and now in the last one
here problem number four i have two
numbers which are 44 and four so i will
divide them i will divide 44. 44 divided
by 4 gives me what yes 44 divided by 4
gives me 11. so my answer is letter b as
you see here
and now we have just reviewed some of
the multiplication and division
operations that we learned in primary 3
we are aware now that multiplication and
division are what are inverse operations
x about now let's return to the
objectives of our lesson today and see
our next step
we will learn how to create a line plot
let's see it all together
and also today we will select
appropriate key and scale for the line
plot
then we will be able to explore and
exclude naraf natalya information we
want from any line plot
type now we will start discussing this
in build but let me first ask you the
following if you are collecting data
gamma data on how long one of your
colleagues can take to do 10 jobs
10 jumps or data about someone for
example who has hobby where he collects
different truck shapes in large numbers
and you want to display your eyes
in an easy way
which way
you will choose to display the data
so
what do you think is the difference
between these two methods in the first
place if i benefit maybe graph will line
plot for example yes i will table
now let me first
tell you some opinions of a group of
your colleagues
about the difference between aligned
plots will bar graphs with tables tan
shuffer imabin home type some of them
said that bar graphs allow us to compare
the displayed information ali nelgravda
beside nina occurring ill displayed
ardell malumet
in a very clear bar format and it is
sometimes colored in graph double e
colored every bar in a different color
cooler
below type tables display and organize
information in rows and columns
through columns and rows
align plot
maybe a line plot well table will a
graph a line plot is graph that displays
vr the data using number line la
megastar line plot less than by a number
line with a v symbol x which is used to
represent data on the number line
we have an example of line plus in your
book on page 139 in the activity line
plots under the title build let's see
here in page 139 as you see this is
graph represents the data we collected
about the time it took each student to
do 10 jumping jacks okay this is the
line plot as you see like the ones you
have just seen in the video
please read the graph very carefully so
that we can answer the four questions in
your school book on page 140
you can write the answers in your school
book
now let's see problem number one
here as you see problem number one this
is problem number one
he's asking me what does this line plot
you why is there
or simply what information is the graph
representing ill information
we will say that this graph is
representing a graph that we are at the
time it took the students to do 10
jumping jacks okay
the graph represents the students our
time will students
to make 10 jumping jacks
let's move to problem number two
problem number two he asked me what does
each x represent in x d bitmap e
yes we can see on the graph in our book
that symbol x represents two students
okay
now
so if you would calculate the number of
students who participated in this
activity is the number of students
family how do you know
and this is problem number three how it
does to l number three
we will certainly count the number of x
height the coolin x is the land and
multiply them by what by two lil in an
arf in the x cool x represent two
students you hide the coil x is the
landing hammer multiply by two and this
is the number what is the number who can
tell me yes we have 18 symbols of x and
and the 18 x
okay
then what should they do was to hammer
18 multiplied by two inequalities v2 by
18 multiplied by 2
18 multiplied by two equals what yes
it's here multiplied by two gives me
thirty six
okay now let's move to problem number
four as you see here in problem number
four
here is you want
he is asking me what is the scale for
this number line a skill beta is the
name of a number line the scale on the
number line line plot shows marks at
equal intervals les
it represents the relationship between
the units being used
in the example we have the skill
represents the relationship between
seconds and the actual measurement data
that was collected
the line plot starts at what launch of
the line
of eight seconds
sixteen seconds it starts with eight we
end with sixteen yep accounting by what
counting by two the scale here is two
seconds if my scale is
two seconds
and now we have learned a new term which
is the scale in the line plot in the
previous example and we reviewed the
meaning of symbol xrfnamana symbol x
elephant graph
at the beginning of our study in primary
four we have learned a lot of
information about ants and its numbers
and colonies in which they live
let's see now let me ask you a question
what about the longest ant you have ever
seen
for me the longest ant i have ever seen
was two centimeters long and two
centimeters long you can see this
picture of the largest fossilized end
fusilite and
that was discovered and its length was
five centimeters this ant was so huge
in the scientists
and nine centimeters long
we have on page 140 under the title
length of ants a table that shows us
various lengths of ants
and here's the table as you see in page
140 we are required
in a binary
using the number line below the table on
the same page this is the number line as
you see
before we start to answer let's have a
look on the table we will notice that
the lengths of all ants are in
millimeter jose mcnachey finn the length
is
length of the landing in millimeters
this is a unit of length like this
centimeter wizard with the
to the smallest unit of measuring glands
we were introduced it in lesson one of
this unit and we use it in very small
lengths
that are difficult to measure in
centimeters or meters like the lenses of
very small insects including some types
of ends
the lenses here are from one millimeter
the length is inhabited in one
millimeter
and this is the the shortest length
and up to akbar length and
40 millimeters
the length of bull end which is the
longest type of ants
there are other lengths between them
curly length is d may be in one
millimeter and 40 millimeters now let's
think about what we will write on the
number line
the lengths will be in millimeter table
length
in millimeters
the number line should be scaled
starting from zero to the highest value
which is 40.
now let's determine the scale in this
problem talib and hadid skill has their
name for problem d how much should it be
hamil skill at the e how are we going to
divide the number line has a number line
bti is a so that it includes all the
lengths i mean one the fourteen number
line you configure numbers
can be two or four right we also need to
determine how can we represent the
number of ends let's carry they had
number of ends d
how many ants will be the symbol x
symbol xd had my silica number the key
represent
let's draw the number line here on the
board let's see it all together
here i will draw the number line
okay
now
yellow draw it with me let's draw the
number line here
this is my number line
okay
now
i'll make it like this
then what should i do the number line
starts with zero
zero
okay then and we start dividing it into
twos okay moving by two so it will look
like this
0
2
4
6
8
10
12
14
16
18
20 22
24
26
sorry 28
30
taiwan
32 34
36
38 and 40.
okay if that unfortunately because this
is the biggest number
type now
symbol x will represent what yes it will
represent only one type of ants yani x
cool x represent only one type of ant
they'll keep the i
now let's represent the table on the
line talub anomaly table now the table
i'll align bti now how many types of
ants with the with the length zero and
the chem type of anti-length tau zero
yes i don't have any thing okay
no i'll keep it as it is type the other
question how many types of ants with the
length one and the camp type of ant
length of taha one only one type so we
have only one x above the one
the one tab and this one
yes
between zero and two if i hammer one x
only
type and now how many types of ants with
the lens two and the chem and length
ii
two ends right two types behavior and
the two
two x's like this
so we have two symbols of x above two
how many types of ants with the length
three millimeters and the chem ends
length three centimeters three types yes
table bti i have three types so i will
go to three al-hua between two and four
wahamil three x's
above each other's
now the other question the next question
how many types of ants with the length
four millimeters yes i have two types
two x's above each other
now so write two symbols of x above the
four
the next question how many types of ants
with the length five millimeter yes only
one type so i will go to five time if i
fin yes between four and six i will
draw one x only
so we will notice that there is one
there is one type with the length six
type
length of six
one x only
and with the length of seven okay one
type of six and one type with seven in
line the seven only one x
then how many types lengths of eight
yes one type with the length of eight a
one handle eight
however there are two types phetotypes
in length
and nine layer between eight and ten
muhammad two
okay type we will represent this with
two x symbols they manage above the nine
there are three types with the length
ten how to handle ten mohammed three
types and three x's above each other's
okay and now we will put
x symbols they imagine
the three x symbols above the ten
and finally we will notice that there is
one type of each of 18 or 19 with 24 or
40. 18
19 with 24 and 40.
okay
type and now we will put one x on the
line until 18 19 24 40 as you see
now we have represented all the data and
are at the quality table on the line
plot they imagine shayfinuke
now i'll give you some time to answer
questions 2
from 2 to 5 on page 141
and then we will review the answers
after you finish
now after you have finished let's review
our answers let's see question number
two
here as you see
question number two
he asked me why did we make your key why
you make your key the way you did the
only list
in the x
represent only one type why hello in the
numbers in this data are very small and
a little x equals one because the
numbers
are small
and that's why a little x represents
only one
the challenge of question number three
question number three beast anu why did
you make your scale the way you did lea
skills
moving by two only yes as we said before
we could use skill
can affect the standard scale of two
millimeter or four millimeter li 32
millimeter because all the numbers mean
one forty they are not very big numbers
they are small numbers okay
the same
answer because the numbers
from
1 to 40
are not
large numbers
now let's move to question number four
question number four is any why are
required to write three questions you
are required to write three questions
tell it as illa through your
understanding of the data in the table
or on the line plot diabetic a question
yes
only how many types are less than five
millimeter in length one connected how
many types
types
are
less
than
five millimeters
what the difference in length between a
dinosaur ant and the ghost end
table
our line plot
these questions may vary according to
each one of us
okay
and now let's move to question number
five if you added the
synonym
that could be as large as 99 millimeters
moving by five millimeter moving by ten
millimeter rate the mouse a little
hundred
and of course both numbers are both
answers are correct
because we select the scale according
now we have understood how we can
represent the data on the num line plot
and were introduced to the scale in the
two previous examples however you can
see scales everywhere you look
such as the ruler that you use in your
tools
hours are a scale of time will balances
comment out of our scale for mass
also graduated cylinders that we use in
science laboratories can you
remember the the cylinders
this is considered bardot tower kind of
skills like the ones in your book in the
activity skills wherever you look
hitting connect on page 142 let's see
connecting 142
let's look at the cylinders we have and
answer the questions this is the
graduated cylinders as you see
this includes choosing a title for the
activity
a key to represent the data in x symbol
betana we can manually scale to
represent it
i'll give you some time to think
carefully and answer the questions on
pages 142 and 143 i know that you are
very excellent students and you are able
to do this activity
[Music]
and now we have reached the practice
part in our lesson in which we will use
the line plot in page 143
and the data in it let's see page 143
now we are going to answer the questions
on page 143 and 144. let's look at the
shortcut filternbc
by is e yes there is a number of minutes
studded
active number
of
minutes
studied
okay now let's move the problem number
two problem number two
here as you see this is problem number
two this any what is the scale for the
number line il
of the number line
yes we will notice that we have 60
written at the start and updated b60 and
after it we have 75 the date be 60
75
yes so the line divided by 15 minutes
as you see
15 minutes
and this is my skill
as for problems three to five we have
when we have answers in minutes we
should convert them to ours
as we have learned in lessons five and
six
please remember that one hour equals 60
minutes don't forget that one hour 60
minutes okay
problem number three
problem number three miss anu what was
the least amount of time spent studying
time had studied in canada
yes at the number line represent in the
least amount of time
i will number andy 60 minutes
right by 60 minutes the the least amount
of time spent studying
okay
now when we convert 60 minutes hour have
ndi yes 60 minutes equals one hour right
okay now let's move to problem number
four problem number four this any what
was the largest amount of time spent
studying
or the most amount of time spent
studying yes
the answer is 150 minutes
150 minutes
the hours
yes
150 via fahrenheit hours yes 150 money
has 60 plus 60 plus 30.
the money if you come hours 2 hours
lil in 60 of 60 these are two hours
and what
and 30 minutes
the money in the two hours and half
let's move to problem number five the
last one is
what was the most common amount of time
spent studying
e actor
i will most common amount of time spent
studying after time it takes phil
studying this means in hashif actor x
symbol on the line okay
type actor hagan the x fill line bti we
notice now that 90 has the greatest
number of x 90 and the akbar number of x
okay
so
90 is the most common amount of time
spent studying here 90 90 minutes the
bienvenid 90 convert it into hours yes
in 95 hour 90 and 60 plus 30 we're only
60 yen one hour right
yeah but here i have one hour and 30
minutes yeah in one hour and 30 yaniwa
one hour and half
okay
time now at the end of our lesson today
i want to tell you that
i enjoyed
the lesson with you very much and i hope
you benefit from our lesson if you want
more practice problems you can check
your understanding by scanning the code
on the screen or in the first page of
the lesson
since this was the lesson the last
lesson in unit 3 you can evaluate your
knowledge of concepts 1 and 2 through
the final assessments you have in the
digital version of the mathematics book
see you next time thank you so much
English (auto-generated)