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2TH §1.1 Linear relations
§1.1 Linear relations
Let's first see what you will learn today!
See next slide.
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Slide 1:
Slide
Wiskunde
Middelbare school
havo, vwo
Leerjaar 2
This lesson contains
26 slides
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interactive quizzes
and
text slides
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Lesson duration is:
45 min
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Items in this lesson
§1.1 Linear relations
Let's first see what you will learn today!
See next slide.
Slide 1 - Slide
The goals for this paragraph are:
Let's first do an exercise together!
Slide 2 - Slide
Schermafbeelding 2021-07-27 om 10.13.58
Key in your answer in the next slide.
Key in your answer in the next slide.
Slide 3 - Slide
a. How many euros did Olav borrow?
timer
0:15
A
-15
B
15
C
165
D
-165
Slide 4 - Quiz
Schermafbeelding 2021-07-27 om 10.13.58
Key in your answer in the next slide.S
Solution:
In the formula you see that at the start there is a 165 euros debt.
Slide 5 - Slide
Schermafbeelding 2021-07-27 om 10.14.10
Ana
Answer question b in the next slide.
Slide 6 - Slide
timer
0:20
A
-15
B
15
C
165
Slide 7 - Quiz
Schermafbeelding 2021-07-27 om 10.14.10
Ana
Solution:
The part - 15n means that he pays back 15 euros per month.
The minus sign indicates that for every month (n) 15 euros are subtracted from the total debt (schuld).
Slide 8 - Slide
Schermafbeelding 2021-07-27 om 10.14.17
Again:
Again: Answer in the Next Slide (let's call this ANS).
Slide 9 - Slide
c. How many months?
Calculate this!
timer
0:45
A
10
B
11
C
12
Slide 10 - Quiz
1c Solution:
The formula is d = 165 - 15n
Every month 15 euros is paid back.
So we do: 165 : 15 = 11
11 months it takes Olav to pay it all back!
Now it is time for a joke.
Slide 11 - Slide
Slide 12 - Slide
Question:
There are 2 formulas:
d = 165 - 15n and
s = 15 - 3a
Describe why the shape of both formulas is the same.
ANS
Slide 13 - Slide
The shape is the same, because.....
Slide 14 - Mind map
Solution:
d = 165 - 15n and s = 15 - 3a
There are more good answers:
- because all the time a certain amount is made smaller in the course of time.
- there are 2 variables (letters) in both formulas
- etcetera
Slide 15 - Slide
Schermafbeelding 2021-07-27 om 10.14.32
Slide 16 - Slide
When is a formula a linear formula?
(= one of the two goals for today!)
A
when it describes a bended (gebogen) line
B
when it describes a vertical line
C
when it describes a straight line
D
when the graph goes through the origin, (0,0)
Slide 17 - Quiz
Solution
A linear formula describes a GRAPH in the form of
a STRAIGHT LINE.
Slide 18 - Slide
Slide 19 - Slide
Now we look at some tables.
Not a table that you now have in front of you,
but a paper table, filled with numbers!
Slide 20 - Slide
Schermafbeelding 2021-07-27 om 10.18.52
ioi
As you can see, the increase (toename) in the top row is always the same. This increase is + 1.
But is the increase in the bottom row also the same?
If so, what is this increase?
ANS !
Slide 21 - Slide
timer
0:25
A
yes, -3
B
yes, 1
C
yes, 3
D
no
Slide 22 - Quiz
Schermafbee om 10.18.52
iSol
Solution:
The increase in the bottom row is 3,
because from -3 to 0 it is 3 up,
from 0 to 3 it is 3 up again. Etcetera.
REMARK: the numbers in the top row are CONSECUTIVE, that is:
'opeenvolgend'.
Slide 23 - Slide
om 10.20.23
Schermafbeelding 2021-07-27 om 11.08.32
Slide 24 - Slide
om 10.20.23
Slide 25 - Slide
Homework time
Do exercise 3-7 (page 11-12)
Was it difficult? Do the Support path S2 and S7
Was it easy? Do the Challenge Exercise C1
Slide 26 - Slide
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