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1TH/Vwo §6.5 Comparing graphs - MORE
§7.5 Comparing graphs - MORE
Many time a movie gets a sequel (=vervolg),
as in 'Home alone 2' or
'The godfather 4'.
The new one is not always better than the first film.
Let's hope for the best for this LessonUp ...
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Wiskunde
Middelbare school
havo, vwo
Leerjaar 1
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Lesson duration is:
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§7.5 Comparing graphs - MORE
Many time a movie gets a sequel (=vervolg),
as in 'Home alone 2' or
'The godfather 4'.
The new one is not always better than the first film.
Let's hope for the best for this LessonUp ...
Slide 1 - Slide
Slide 2 - Slide
PART TWO ......
is about p.223 and 224 the 2nd part of §7.5 Comparing graphs.
Homework:
In total you've gotta do 3 exercises.
Slide 3 - Slide
First let's look back at one Homework exercise:
number 33, p.223 is the one!
Slide 4 - Slide
8
This is exercise 31 on p.221.
Task 1: Give your answer to 33a in the next slide.
Slide 5 - Slide
Task 1: Jean's better off ...
A
with Vital
B
it depends
C
with Hydro
D
this is not clear
Slide 6 - Quiz
Solution Task 1: (33a)
Slide 7 - Slide
Task 2:
Give your answer to 33b in the next slide.
Watch the vital word: 'INCREASE'!
Slide 8 - Slide
Task 2: (33b) answer:
A
225
B
200
C
35
D
165
Slide 9 - Quiz
Solution Task 2: (33b)
What is the number 200 doing in the calculation?
For more than 200 cubed metres Vital is cheaper.
So, to explain it a little differently: for more than 165 + 35 = 200 cubed metres
Vital is cheaper, so the answer is: a 35 cubed metres INCREASE!
Slide 10 - Slide
We go on with 2 graphs in one coordinate system.
In PART ONE the emphasis (=nadruk) was on comparing them.
Now we concentrate on the POINT OF INTERSECTION (p.i.o.) of both graphs!
Slide 11 - Slide
Task 3:
Read off the p.o.i. of both
graphs.
Key in in next slide.
Slide 12 - Slide
task 3: The p.o.i. is .......
A
(5, 4)
B
(3 1/2, 5)
C
(5, 3.5)
D
(5, 3 1/2)
Slide 13 - Quiz
Explanation Task 3:
Read off the p.o.i. of both
graphs.
Key in in next slide.
Explanation:
First we write down the HORIZONTAL
coordinate; only then the VERTICAL one.
So we get: (5, 3 1/2) or (5, 3.5) Don't forget the brackets!
Slide 14 - Slide
There are 2 ways to get to know the points of intersection:
Reading off p.o.i. - Calculating p.o.i.
But ...... when to do what?!
Slide 15 - Slide
Why calculating, if you can read off ??!
Read below, why.
Many times the p.oi. from 2 graphs is hard to read off.
For instance:
you read off (3, 7) but in fact the p.o.i. turns out to be
(3.1 , 6,9) !
In fact CALCULATING is more exact -better- than reading off.
Slide 16 - Slide
From READING OFF we now move to CALCULATING the p.o.i.!
That is what you are going to do on p.222.
Slide 17 - Slide
Slide 18 - Slide
Task 4: Fill in number = 5 in the green formula.
The green graph has this formula:
6 - number x 0.5 = length
What does the length become when
you fill in number = 5 ?
Slide 19 - Slide
Solution Task 4: Fill in number = 5 in the green formula.
Slide 20 - Slide
Task 5: Fill in number = 5 in the red formula.
From the graph you can read off the red formula too:
number x 0.5 + 1 = length
Fill in number = 5 in this formula.
What does the length become?
(see next slide)
Slide 21 - Slide
Slide 22 - Slide
Explanation Task 5: Fill in number = 5 in the red formula.
The green formula :
number x 0.5 + 1 = length
Slide 23 - Slide
Summarising (1) what we just did:
Slide 24 - Slide
Summarising (2):
Slide 25 - Slide
Task 6: In order to do 33a and 34, what should you do first? Answer in next slide.
timer
0:15
Slide 26 - Slide
What to do first?
Slide 27 - Mind map
Solution Task 6:
Make a TABLE!
For 36a even make a DOUBLE TABLE,
as there are 2 graphs!
Slide 28 - Slide
Homework time
Make: 32, 33, 34 and 35 now.
Take a few pictures and send them in in GC.
Slide 29 - Slide
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