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2Tvwo §6.2 part 1 Calculating a side and part 2
§6.2 Calculating a side
Do you remember our old, bearded friend from the past?
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Slide 1:
Slide
Wiskunde
Middelbare school
vwo
Leerjaar 2
This lesson contains
27 slides
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interactive quizzes
and
text slides
.
Lesson duration is:
50 min
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Items in this lesson
§6.2 Calculating a side
Do you remember our old, bearded friend from the past?
Slide 1 - Slide
Learning goal:
You will learn how to calculate the length of an
UNKNOWN side of a right-angled triangle
Slide 2 - Slide
Who is he?
Slide 3 - Mind map
§6.2 Calculating a side
Welcome back to: Pythagoras!
Next slide shows us another picture
of this great Maths person
Slide 4 - Slide
Slide 5 - Slide
The theorem of Pythagoras
A
is about the sides of a right-angled triangle
B
is used to calculate an unknown side
C
is invented by Pete Agoras
D
is more than 2000 years old but still going strong
Slide 6 - Quiz
The theorem of Pythagoras...
asks for the use of a very handy scheme!
Slide 7 - Slide
exercise 6
length side
area square
p =
.. =
.. =
Slide 8 - Slide
Let's do exercise 8 together,
start doing 8 a), making a sketch!
Slide 9 - Slide
Here is the sketch:
Slide 10 - Slide
Now think hard about b:
Slide 11 - Slide
answer for b:
Slide 12 - Slide
Do c now:
First copy the scheme! Then:
Slide 13 - Slide
answer for c:
Slide 14 - Slide
Time to do d:
Slide 15 - Slide
answer for d:
'exact' is not rounded off!
Slide 16 - Slide
Homework time.
Do 0f §6.1 and 6.2 now,
+ 6, 7 and 8
+ make the SCHEME with lengths for every exercise!!
+ remember to place the hypotenuse (=longest side) at the bottom
+ later on this LessonUp is continued
Slide 17 - Slide
A few fine points from this paragraph follow now!
Slide 18 - Slide
6.2 part 2 How to calculate length BD?!
Slide 19 - Slide
We want to calculate BD.
What to calculate first?
Slide 20 - Mind map
Solution: First calculate length CD in right-angled triangle ACD.
Then only calculate length BD in right-angled triangle BCD!
Slide 21 - Slide
One more new thing from §6.2!
Slide 22 - Slide
How (on earth) can you calculate DE or GH?
We do not even have a right-angled triangle!
Slide 23 - Slide
How to calculate these lengths?
Slide 24 - Mind map
Solution: we make a right-angled triangle ourself!!
With that we can make the SCHEME and calculate the unknown side.
In the next slide you see Pythagoras, going crazy about his Theorem once more...
Slide 25 - Slide
Slide 26 - Slide
Homework time again.
Finish as much as you can!
Slide 27 - Slide
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