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1TH/vwo §11.4 Linear formulas
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Wiskunde
Middelbare school
havo, vwo
Leerjaar 1
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Slide 1 - Diapositive
A1X Quiz question:
A pupil here present has the name of an animal.
Who is that?
Slide 2 - Diapositive
1HV1Y: First a quiz question!
Think of a word that is
- the Dutch word for 'brave' or 'courageous'
- the name of a person here in class
timer
0:25
Slide 3 - Diapositive
With this TIP
you should know!
Slide 4 - Diapositive
C1x:
First a quiz question:
Whose name of somebody here present
is the name of an animal?
There are at least two answers!
timer
0:30
Slide 5 - Diapositive
WG1X:
First a Quiz question!
Here in class somebody has the name of FISH in Dutch.
Who is that?
Try to find this out with your neighbor.
Or as a threesome.
Slide 6 - Diapositive
WG1X(2)
Someone has the name of a material.
Whos is that?
Slide 7 - Diapositive
§11.4 Linear formulas
The main goal in this paragraph is:
Learning how to MAKE a FORMULA for a LINEAR GRAPH!
But first a few Freshen Up Tasks about last lessons content (§11.3).
See next slide!
Slide 8 - Diapositive
shorten: v = 6d - 5c
A
v = 1 cd
B
v = 11cd
C
impossible
D
v = 1 cd squared
Slide 9 - Quiz
shorten:
p =
2
h
2
4
h
2
A
p = 6h
B
p = 8 h squared
C
impossible
D
p = 6 h squared
Slide 10 - Quiz
d = 4 - 5k -6 + 3k
A
d = 2 - 2k
B
d = -2 - 2k
C
d = 10 + 8k
D
d = -2 + 9k
Slide 11 - Quiz
In §11.4 a lot of information is used from...
Ch6 Formulas and Graphs !
It's only understandable that you don't know all about it
any more. (Or do you?)
That's why we will look back at the content of Ch6 now.
Try to answer the question in the next slide.
Slide 12 - Diapositive
timer
0:25
What is a linear graph?
Slide 13 - Carte mentale
A linear graph is a straight line
in a coordinate system.
Next slide also gives a description.
Slide 14 - Diapositive
Slide 15 - Diapositive
Slide 16 - Diapositive
In the previous slide the FORMULA was already given.
However how to find this FORMULA ourselves if we only have a GRAPH?
Slide 17 - Diapositive
In the next slide the Method is
put into practice!
Slide 18 - Diapositive
Remember that this
is all 'old stuff' from book 1A, Ch6.
To do §11.4 succesfully, you need to know this!
Only now we enter Ch11, §11.4
Slide 19 - Diapositive
Task for you:
+ Open your Notebook and Textbook 1B, p.182
+ Get from your pencil case:
pencil, pen, geo, eraser
timer
0:25
Slide 20 - Diapositive
Slide 21 - Diapositive
Something new about the Coordinate system(1):
Slide 22 - Diapositive
Something new about the Coordinate system (2):
Schermafbe
Slide 23 - Diapositive
In which quadrant have you been working up to now?
timer
0:15
A
4
B
3
C
2
D
1
Slide 24 - Quiz
Watch: the POSITIVE NUMBERS
are used for the 1st Quadrant.
And the 1st Quadrant is the one that
you've used up to now.
But this gonna change soon...
Slide 25 - Diapositive
Now more about Formulas and Graphs:
Slide 26 - Diapositive
Here you see the graph
that belongs to the Formula!
Slide 27 - Diapositive
Time for the Treat of the Day:
MAKING a Formula for a Graph.
However, this Lesson Up wouldn't be complete
without a Joke.
Slide 28 - Diapositive
Slide 29 - Diapositive
Making a FORMULA for this graph...
is exactly what you're going to learn now!
Slide 30 - Diapositive
In the next slide this Method is put into practice again.
After this you are going to work out these steps yourself!
Slide 31 - Diapositive
om 19.56.
Slide 32 - Diapositive
TASK:
Make a FORMULA for the GRAPH!
How?
+ Open your Notebook.
+ Open your Textbook on p.187 so you can look
back at the METHOD
+ You're going WORK OUT the 4 STEPS that
we just studied
Slide 33 - Diapositive
Step 1=FOTOVRAAG (next slide)
Step 1:
Make a TABLE
in your Notebook
with values you can
read off exactly!
(for this graph only 3 values for x and 3 for y)
Take a pic and send it in.
timer
1:00
Slide 34 - Diapositive
The TABLE (step 1):
Slide 35 - Question ouverte
Solution Step 1:
Slide 36 - Diapositive
Step 2:
Read of the Start number.
Do this from the Table you made!
timer
0:15
A
6
B
2
C
-6
D
3
Slide 37 - Quiz
Solution Step 2:
The goes through the Vertical
axis at height -6.
That's why.
The coordinates (0, -6) from the table
also give you this information.
Slide 38 - Diapositive
Slide 39 - Diapositive
Slide 40 - Diapositive
Step 3:
How much does the graph rise or fall per horizontal step of 1?
Read this off from your Table (or from the graph).
timer
0:25
A
2
B
3
C
-6
D
6
Slide 41 - Quiz
Solution step 3:
Slide 42 - Diapositive
Step 4:
The Formula is: ....................
timer
0:30
A
y = 6x - 3
B
3x - 6 = y
C
x = 3y - 6
D
y = - 6 + 3x
Slide 43 - Quiz
Solution step 4:
the Formula is:
y = 3x - 6 or: 3x - 6 = y
or also: -6 + 3x = y
Slide 44 - Diapositive
Looking back ....
- did you do great, or
- did you miss out on these tasks?
- most important is to try hard, so that you learn a lot,
- you probably really begin to understand it when doing your homework!
Slide 45 - Diapositive
Homework:
DO § 11.4 You may SKIP: 24, 26 and 28
H/V choose the Support or Standard path
VWO: choose the Challenge path
Point of attention:
1st: use the four steps Method from p.187/188. and
Send in the lot in GC as usual!
Slide 46 - Diapositive
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