In deze les zitten 31 slides, met interactieve quizzen en tekstslides.
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Inverse relationships
You need your Ipad, notebook and calculator
Slide 1 - Tekstslide
Today
Start (5 min)
New subject (20 min)
Bettermarks (20 min)
Question together (15 min)
Bettermarks (15 min)
End lesson (5 min)
Slide 2 - Tekstslide
Exercize
Pien has got a job at the Albert Heijn and makes €8,- per uur. Give the formula with B the amount that she earns and t, the amount of hours she has worked.
timer
1:00
Slide 3 - Tekstslide
Give the formula
Slide 4 - Open vraag
Exercize
Pien has got a job at the Albert Heijn and makes €8,- per uur. Give the formula with B the amount that she earns and t, the amount of hours she has worked.
t
0
1
2
3
4
8
B
Slide 5 - Tekstslide
Inverse relationships
Pien has made some money and descides to throw a party. She buys 4 liters of wine. Give the formula for the liters wine L and the amount of persons a.
timer
1:00
Slide 6 - Tekstslide
Give the formula
Slide 7 - Open vraag
Inverse relationships
Pien has made some money and descides to throw a party. She buys 4 liters of wine. Give the formula for the liters wine L and the amount of persons a.
a
0
1
2
3
4
8
L
Slide 8 - Tekstslide
Inverse relationships
y=x1
Slide 9 - Tekstslide
Inverse relationships
y=x1
y=x−8
Slide 10 - Tekstslide
Inverse relationships
y=x1
y=x−8
y=x+33
Slide 11 - Tekstslide
Inverse relationships
y=x1
y=x0.5−9
y=x−8
y=x+33
Slide 12 - Tekstslide
Geogebra
Slide 13 - Tekstslide
12.3 Inverse relations
An inverse relation has got a in the denomitor of the fraction.
For example:
The graph is called a hyperbola and has got two asymptotes
x
y=x+31−2
Slide 14 - Tekstslide
Finding asymptotes from the formula
Horizontal asymptote:
The number that isn't in the fraction is -2
Therefore the asymptote is
y=x+31−2
y=−2
Slide 15 - Tekstslide
Finding asymptotes from the formula
Vertical asymptote:
Set the denomitor equal to zero and solve for :
The asymptote is
y=x+31−2
x
x+3=0
x=−3
x=−3
Slide 16 - Tekstslide
Bettermarks
Bettermarks 12.3
20 min
Raise your finger if you have any questions or when you're finished
Communicate in English please
Slide 17 - Tekstslide
Question together
Put your Ipad down and grab your notebook
Slide 18 - Tekstslide
Question 10 Bettermarks
Slide 19 - Tekstslide
What is the area of a garden if 5 people rent one?
Slide 20 - Tekstslide
The area of one garden is 9 m2. How many people have rented a garden?
Slide 21 - Tekstslide
Solving inverse equations
Find t if N = 23 in the formula
N=3+t140−5
Slide 22 - Tekstslide
Solving inverse equations
Find t if N = 23 in the formula
N=3+t140−5
N=3+t140−5
Slide 23 - Tekstslide
Solving inverse equations
Find t if N = 23 in the formula
N=3+t140−5
23=3+t140−5
N=3+t140−5
Slide 24 - Tekstslide
Solving inverse equations
Find t if N = 23 in the formula
N=3+t140−5
23=3+t140−5
28=3+t140
N=3+t140−5
Slide 25 - Tekstslide
Solving inverse equations
Find t if N = 23 in the formula
N=3+t140−5
23=3+t140−5
28=3+t140
3+t=28140
N=3+t140−5
Slide 26 - Tekstslide
Solving inverse equations
Find t if N = 23 in the formula
N=3+t140−5
23=3+t140−5
28=3+t140
3+t=28140
3+t=5
N=3+t140−5
Slide 27 - Tekstslide
Solving inverse equations
Find t if N = 23 in the formula
N=3+t140−5
23=3+t140−5
28=3+t140
3+t=28140
3+t=5
t=2
N=3+t140−5
Slide 28 - Tekstslide
Solving inverse equations
Find t if N = 23 in the formula
N=3+t140−5
23=3+t140−5
28=3+t140
3+t=28140
3+t=5
t=2
2=36
N=3+t140−5
Slide 29 - Tekstslide
Solving inverse equations
Find t if N = 23 in the formula
N=3+t140−5
23=3+t140−5
28=3+t140
3+t=28140
3+t=5
t=2
2=36
3=26
N=3+t140−5
Slide 30 - Tekstslide
Bettermarks
Bettermarks 12.3
Until 14:40
Raise your finger if you have any questions or when you're finished
