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2TTO §9.4 Solving inequalities (1) PTI
§9.4 Solving inequalities
(ongelijkheden)
Up to now we only dealt with equations, so:
'something being equal to something else'.
However,
something could also be greater than or smaller than something else!
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Wiskunde
Middelbare school
vwo
Leerjaar 2
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36 slides
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interactive quizzes
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Lesson duration is:
50 min
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§9.4 Solving inequalities
(ongelijkheden)
Up to now we only dealt with equations, so:
'something being equal to something else'.
However,
something could also be greater than or smaller than something else!
Slide 1 - Slide
Below you see what you will learn and the kind of tasks
you are going to solve. But how?!
Do you remember the signs:
for 'smaller than' and
for 'greater than'?
Slide 2 - Slide
In this lesson .....
+ we will march through the first part of §9.4 together
(no need to do them later, anymore!)
+ homework will be p.102: 26, 27, 29, 30 and 31
Next slide has a lotta text. Read this for yourself first.
Of course you can take your own book 2B, p.100 , where it's from!
Slide 3 - Slide
jk
Answer the 1st question only, so:
Is it possible that the bags each contain 4 marbles?
Make a calculation in your head (or on paper) and key in your answer in the next slide!
Slide 4 - Slide
4 marbles; is that possible?!
Slide 5 - Mind map
Answer and explanation:
No! Why not? Look below:
Keep in mind that the left side is heavier, so it contains more marbles!
Slide 6 - Slide
jk
Answer the 2nd question only, so:
Is it possible that the bags each contain 8 marbles?
Make a calculation in your head (or on paper) and key in your answer in the next slide!
Slide 7 - Slide
Is 8 marbles possible?!
Slide 8 - Mind map
Answer and explanation:
Yes! Why? Look below:
Why is this possible? Because the right side is heavier and it contains more marbles!
Slide 9 - Slide
A balance or a graph...
For an amazing balance, watch next slide!
Slide 10 - Slide
Slide 11 - Slide
We are going to do 27 now. It is much handier if you open your own book, p.101, of course!
Slide 12 - Slide
And now, bit by bit...
Slide 13 - Slide
Slide 14 - Slide
Slide 15 - Slide
Slide 16 - Slide
Key in your answer in the next slide!
Slide 17 - Slide
Graph A is steeper because ...
(tell from the formulas!)
Slide 18 - Mind map
Answer 27 c:
Slide 19 - Slide
Think about this for a while!
Answer is shown in the next slide.
Slide 20 - Slide
Slide 21 - Slide
Think about it again for a while.
Answer is shown in next slide.
Slide 22 - Slide
Slide 23 - Slide
Slide 24 - Slide
You have been doing great up to now!
This LessonUp takes a lot of our time, but remember:
pages 100 and 101 too we have almost finished now!
Finally here comes the METHOD how to
SOLVE an INEQUALITY (ongelijkheid).
Slide 25 - Slide
From now on, it's the other way around:
We don't have a graph, but just an INEQUALITY!
In order to SOLVE this,
we will make a SKETCH of the two graphs ourselves.
Next slides show how to do all this!
Slide 26 - Slide
The following slide shows you an example of this METHOD!
Then the points 1, 2, 3 and 4 correspond to those above!
Slide 27 - Slide
Slide 28 - Slide
Slide 29 - Slide
Slide 30 - Slide
What is the next step to take?
Slide 31 - Mind map
Slide 32 - Slide
Slide 33 - Slide
Slide 34 - Slide
After all is said and done ...
There are exercises 29, 30 and 31 to be done by yourself.
In 29 and 30 no graphs are given, so just
+ work out the 4 points from the Method on p.102, we just went through
+ making sketches of both graphs, etc.
Slide 35 - Slide
Homework time
DO:
§9.4: 29, 30 and 31
Slide 36 - Slide
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