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2Tvwo §11.4 AxB=0
§11.4 A x B = 0
All the 'factorising', done in paragraphs 1, 2 and 3,
will be used today for a special purpose.
So you see that a chapter is not a bunch of loose items!
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Tekstslide
Wiskunde
Middelbare school
vwo
Leerjaar 2
In deze les zitten
30 slides
, met
interactieve quizzen
en
tekstslides
.
Lesduur is:
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§11.4 A x B = 0
All the 'factorising', done in paragraphs 1, 2 and 3,
will be used today for a special purpose.
So you see that a chapter is not a bunch of loose items!
Slide 1 - Tekstslide
Slide 2 - Tekstslide
Recap on §11.2 and §11.3
To work your way much easier through §11.3,
first we look back shortly.
Slide 3 - Tekstslide
Slide 4 - Tekstslide
Slide 5 - Tekstslide
Task 1:
+ Open your Notebook and Textbook on p.178/179: §11.4 A x B = 0
+ Watch the equations from exercise 28
+ Compare them to those of exercise 35, p.183!
+ What's the main difference between them?
+ Key in your answer shortly in the next slide.
timer
0:30
Slide 6 - Tekstslide
Main difference between equations from 28 and 35 is:
.............................
Slide 7 - Woordweb
Solution task 1:
+ The equations from 28 all end with: ................. = 0
+ The equations from 35 don't end with .............. = 0.
This means that the equations from §11.4, today's paragraph, are easier to solve. Just watch the next slides!
Slide 8 - Tekstslide
Solving an Equation that is a Product:
A x B = 0. This equation can only be 0, when
A = 0 or B = 0
In the next example the 'A' and the 'B' are expressions with 'x'.
Just watch!
Slide 9 - Tekstslide
Slide 10 - Tekstslide
Slide 11 - Tekstslide
Task 2:
Work out in your head the two Solutions:
The two values for m. Key in your answers in the next slide
timer
1:00
Slide 12 - Tekstslide
My answer is:
A. 0 and -7 B. 2 and -7
C. 0 and 2 D. -2 and 7
A
0 and -7
B
2 and -7
C
0 and 2
D
-2 and 7
Slide 13 - Quizvraag
(Task and) Solution:
Slide 14 - Tekstslide
Homework -part 1
Work on exercises:
28 and further (so you may skip 26 and 27)
later this LessonUp will be continued!
Slide 15 - Tekstslide
Now a connection will be made between:
1st: solving quadratic equations, and
2nd: graphs for quadratic formulas, so parabolas!
By doing 30 together, you will learn to do the 2nd half of the paragraph.
Slide 16 - Tekstslide
TASK 3:
+ Think about it for a while.
timer
0:20
Slide 17 - Tekstslide
Solution TASK 3:
Slide 18 - Tekstslide
Slide 19 - Tekstslide
TASK 4:
a. Think about this for yourself.
b. Compare your answer with your neigbors.
timer
1:00
Slide 20 - Tekstslide
TASK 4:
Solution:
In the next slide, this equation will be solved.
Slide 21 - Tekstslide
TASK 5:
1. Copy the equation in your Notebook and
2. Factorise it.
If you forgot how to Factorise a Trinomial,
look it up on p.175: Method!
timer
1:00
Slide 22 - Tekstslide
TASK 5:
SOLUTION:
Slide 23 - Tekstslide
TASK 6:
Make this task in your Notebook.
To refresh your memory:
at 30a we saw that the graph intersects the x-axis at x = -1 and x = 2.
Do you now get the same outcomes?!
timer
1:00
Slide 24 - Tekstslide
TASK 6:
SOLUTION on the right:
(Do you remember that we found
the same outcome with the graph?)
Next comes
a bit of Theory,
summarising all this!
Slide 25 - Tekstslide
Slide 26 - Tekstslide
TASK 6:
This is a FOTOVRAAG !
+ Make 31 a in your Notebook
+ Make a picture of your work
+ Send it in, in the next slide and
+ We get a collection of your Solutions!
Slide 27 - Tekstslide
31a:
For which values of x does the graph intersect the x-axis?
y
=
x
2
+
3
x
−
1
8
timer
2:00
Slide 28 - Open vraag
Solution TASK 6:
x
2
+
3
x
−
1
8
=
0
(
x
+
6
)
(
x
−
3
)
=
0
X
+
6
=
0
x
−
3
=
0
x
=
−
6
x
=
3
x
+
6
=
0
Slide 29 - Tekstslide
Homework-part 2
Make: §11.4 A x B = 0
Do exercises:
28 t/m 33 You may skip 26 and 27 and also 32.
1. Make it 2. Correct it with the Solutionsbook
3. Send in your results in GC.
Slide 30 - Tekstslide
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