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1TH/Vwo §6.5 Comparing graphs
§6.5 Comparing graphs
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Slide 1:
Slide
Wiskunde
Middelbare school
havo, vwo
Leerjaar 1
This lesson contains
31 slides
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interactive quizzes
and
text slides
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Lesson duration is:
50 min
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Items in this lesson
§6.5 Comparing graphs
Slide 1 - Slide
Good morning!
Slide 2 - Slide
Good morning, everybody!
Slide 3 - Slide
Slide 4 - Slide
Let's go through an exercise!
Slide 5 - Slide
exercise
This graph shows you
the cost when
hiring a lawn mower
(=grasmaaier).
Slide 6 - Slide
exercise
Because 2 graphs are drawn in 1
coordinate system,
we can COMPARE them!
Slide 7 - Slide
exercise
Task 1:
After how many days is the price
you pay at Praxis
the same as at Finefix?
Key in in next slide.
Slide 8 - Slide
Task 1:
After how many days is the price
you pay at Praxis
the same as at Finefix?
Key in your answer.
Slide 9 - Open question
exercise
Task 1:
So for 4 days the prices are equal. Both
companies then charge 50 euros.
We call the point (4, 50)
the Point of Intersection (= snijpunt)!
Slide 10 - Slide
exercise
Task 2:
If you hire a lawn mower
for 2 days, which company is
cheapest?
Answer in next slide.
Slide 11 - Slide
For 2 days ....
A
better choose for Praxis
B
it depends
C
better choose for Finefix
D
doesn't matter
Slide 12 - Quiz
Explanation exercise ,
Task 2:
If you hire a lawn mower for 2 days, what is
the cheapest?
1. Go to '2 days' on the horizontal axis.
2. Go up and see which graph is highest.
3. Well, Finefix' graph lies lower,
4. so Finefix is cheapest for 2 days!
Slide 13 - Slide
Slide 14 - Slide
exercise
Task 3:
If you hire a lawn mower for 5 days,
which company is cheapest then?
Key in in next slide.
Slide 15 - Slide
For 5 days ...
A
Praxis is cheapest.
B
Doesn't matter.
C
Finefix is cheapest.
D
idk
Slide 16 - Quiz
Explanation exercise 32,
Task 3:
If you hire a lawn mower for 5 days,
which company, which is cheapest?
Go to 5 days on the horizontal axis.
Go up and see which graph lies lowest.
Praxis' graph is lowest for 5 days,
so then the price is lowest too!
Slide 17 - Slide
exercise
Task 4:
Which graph has a fixed amount?
(That is the amount you have to pay,
no matter how many days they will work
for you!)
Slide 18 - Slide
A fixed amount ...
A
Graph for Praxis has one.
B
No clue at all.
C
Graph for Finefix has one.
D
Both graphs have one.
Slide 19 - Quiz
Explanation exercise ,
Task 4:
Which graph has a fixed amount?
The graph for Praxis starts at 10 euros.
That's what you have to pay before you have used
this carpet cleaner for even one minute!
That's why we call this a FIXED AMOUNT.
The amount is fixed, no matter how long you use it.
Slide 20 - Slide
Question: What to do first, when making this task ?
ANS
Slide 21 - Slide
First you have to ....
Slide 22 - Mind map
Solution:
Make a TABLE, indeed!
In exercises 33a. and 34a they ask you to make a graph from a formula.
Also for those tasks MAKE a TABLE first!
How else do you know which points lie on the graph?!
However, a TIP for this follows now.
Slide 23 - Slide
This is how the
SOLUTIONSBOOK does it.
However, why including so may points in the TABLE?
They all lie on the same straight line!
So 3 or 4 points will be enough. For example number 0, 10 and 16.
Slide 24 - Slide
The two graphs have a point
of intersection.
I read off: (5, 3.5) is the p.o.i.
However, it is NOT a grid point, so I cannot be sure.
Fortunately I can also CALCULATE the coordinates!
Slide 25 - Slide
If you have no clue what is meant here,
watch the following slides! You will see:
- two graphs that have a point of intersection
that you can READ OFF
- after this the FIRST COORDINATE will be FILLED in in
both FORMULAS, to see if we get THE SAME ANSWER!
Slide 26 - Slide
Slide 27 - Slide
Slide 28 - Slide
In this lessonup you have learned .....
I'd much better ASK YOU, what you've learned!
Think of a 'general description' (=algemene beschrijving) for what you learned.
Slide 29 - Slide
I have learnt ...
Slide 30 - Mind map
Homework time
Make §6.5. You may skip 30.
- correct with Solutionsbook
Slide 31 - Slide
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