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2TTO Ch 1 Linear formulas PTI '22-'23
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Wiskunde
Middelbare school
vwo
Leerjaar 2
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Welcome back!!
to
Mathematics
Slide 1 - Diapositive
What to bring
You probably still remember ?!
Add: calculator
Slide 2 - Diapositive
Ch 1 Linear formulas
Slide 3 - Diapositive
Slide 4 - Diapositive
s = 15 - 3a
Is this a linear formula? How do you know?
Slide 5 - Question ouverte
s = 15 - 3a
The starting value is
A
15
B
-3a
C
s
D
3a
Slide 6 - Quiz
consecutive means
A
afnemend
B
stijgend
C
consequent
D
opeenvolgend
Slide 7 - Quiz
Formula:
d = -2c +10.
The corresponding graph is
A
rising
B
falling
C
horizontal
D
vertical
Slide 8 - Quiz
When the gradient in a linear formula is positive (f.e. y = 4x -5), the corresponding graph is:
Slide 9 - Question ouverte
Time to do your HW
draw with pencil
use your geo-triangle
Slide 10 - Diapositive
Ch 1.3 Making Linear formulas
Slide 11 - Diapositive
Which graph is of a
real linear formula?
Slide 12 - Diapositive
recap
Questions homework?
Slide 13 - Diapositive
explanation making a formula
Slide 14 - Diapositive
Formula: y = 3x -5
The y-intercept is:
A
3
B
3x
C
5
D
-5
Slide 15 - Quiz
k = 15x + 34
The gradient is
A
15
B
15x
C
34
D
there is none
Slide 16 - Quiz
The general form of a linear formula is:
Slide 17 - Question ouverte
Homework:
Make: 1.3: 21, 22, 23 and
choose OR S21, or C4 or C5.
Slide 18 - Diapositive
Time for your HW
timer
8:00
Slide 19 - Diapositive
Slide 20 - Diapositive
Slide 21 - Diapositive
Evaluation
Do you know:
> how to find the y-intercept?
> how to calculate the gradient (slope/(helling))?
> the general form of the formula for a straight line?
Slide 22 - Diapositive
1.4 Directly proportional
1 pair of socks costs 2 euros
2 pairs cost.....
0 pair ??
Slide 23 - Diapositive
Questions regarding HW?
Slide 24 - Diapositive
Directly proportional
= recht evenredig
Explanation MW link
Slide 25 - Diapositive
Slide 26 - Diapositive
Theory
Slide 27 - Diapositive
Directly proportional when:
(note in notebook)
>
a straight line that passes through
the ORIGIN (0,0)
>
it has to be a RATIO TABLE
Slide 28 - Diapositive
Time to work
timer
8:00
Slide 29 - Diapositive
1.4 directly proportional
Slide 30 - Diapositive
Directly proportional when:
(note in notebook)
>
a straight line that passes through
the ORIGIN (0,0)
>
it has to be a RATIO TABLE
Slide 31 - Diapositive
Is this formula directly proportional?
why (not)?
Slide 32 - Diapositive
Is this formula directly proportional?
why (not)?
Slide 33 - Diapositive
Is this formula directly proportional?
why (not)?
Slide 34 - Diapositive
HW:
Check your answers!
Slide 35 - Diapositive
Time to work:
timer
10:00
Slide 36 - Diapositive
Extra explanation?
Slide 37 - Diapositive
Evaluation
Slide 38 - Diapositive
1.5 Line through TWO points
Slide 39 - Diapositive
Slide 40 - Diapositive
How to find the formula?
Step 1)
Write down the regular form of the formula:
y
=
a
x
+ b
Step 2)
Make a quick drawing of the two points.
Step 3)
Calculate the gradient
4)
Fill in x and y in the formula and calculate b (= y-intercept)
Step 5)
Write down the final formula
Slide 41 - Diapositive
1.5 Line through TWO points (part 2)
Slide 42 - Diapositive
How to find the formula?
Step 1)
Write down the regular form of the formula:
y
=
a
x
+ b
Step 2)
Make a quick drawing of the two points.
Step 3)
Calculate the gradient
Step 4)
Fill in x and y in the formula and calculate b (= y-inercept)
Step 5)
Write down the final formula
Slide 43 - Diapositive
Slide 44 - Diapositive
Recap
Slide 45 - Diapositive
Explanation Wiswereld
Slide 46 - Diapositive
Slide 47 - Diapositive
Slide 48 - Diapositive
Slide 49 - Diapositive
Parallel lines have the same GRADIENT!!
Slide 50 - Diapositive
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