What is LessonUp
Search
Channels
Log in
Register
‹
Return to search
2Tvwo §6.5 Right, acute or obtuse
§6.3 Right, acute or obtuse ?
1 / 35
next
Slide 1:
Slide
Wiskunde
Middelbare school
vwo
Leerjaar 2
This lesson contains
35 slides
, with
interactive quizzes
and
text slides
.
Lesson duration is:
50 min
Start lesson
Save
Share
Print lesson
Items in this lesson
§6.3 Right, acute or obtuse ?
Slide 1 - Slide
Before going over to §6.5...
Let's Study the last exercise from §6.4!
Slide 2 - Slide
Open your notebook,
+ Watch your Homework and
+ Check if you have exercise 30
Slide 3 - Slide
If you do have 30, then
be proud and stand up!
Slide 4 - Slide
exercise 30
Slide 5 - Slide
What makes this exercise difficult, is...
that you do not have a 3D picture of the pyramid!
This makes it hard to imagine what all the information in words means.
'Use cross-section LTN .......' - What's all that??!
Slide 6 - Slide
Question:
What could you do first, to solve this problem?
(How to have a good overview on all information?)
Slide 7 - Slide
Answer to the question:
Slide 8 - Mind map
Slide 9 - Slide
Answer:
Make my own 3D sketch of the pyramid!
Slide 10 - Slide
Here is my sketch.
Indeed, a true
work of Art!
Slide 11 - Slide
Once more the exercise and the 3D pic:
Slide 12 - Slide
Now only we sketch cross-section LTN !
Then we take a few steps:
1st In LTN we draw a help-line: TX. This is the height we have to calculate.
2nd We calculate LN (in order to know NX !).
3rd We calculate NX.
4th We calculate height TX !
Slide 13 - Slide
Slide 14 - Slide
§6.5 at last...
Some new words:
+ converse (The converse Pythagoras' theorem; in between 31 and 32)
= opposite (omgekeerde)
+ Two slats of wood are fixed together by a hinge. (33)
hinge = scharnier
Slide 15 - Slide
Let's do this task together
Write the solutions in your Notebook!
It is an important
exercise to understand this paragraph.
Slide 16 - Slide
timer
0:45
Slide 17 - Slide
Solution:
Slide 18 - Slide
Slide 19 - Slide
Copy the SCHEME, fill it in
and calculate BC.
timer
1:30
Slide 20 - Slide
Solution:
Slide 21 - Slide
Also EXPLAIN why (not)!
timer
0:30
Slide 22 - Slide
Solution:
Slide 23 - Slide
timer
1:00
Slide 24 - Slide
Solution:
Slide 25 - Slide
This is what we've learnt now:
Slide 26 - Slide
Slide 27 - Slide
Homework time.
Make a good start with §6.5 yourself!
Later on a few more slides follow.
Slide 28 - Slide
Question: If the text below is the 'converse Pythagoras' Theorem, then what is the 'original one'?! Answer on next slide.
Slide 29 - Slide
Answer: the original theorem you see below (p.201).
The point is that here we START with a right-angled triangle!
In the converse one we draw the CONCLUSION that the triangle is right-angled!
Slide 30 - Slide
Question about 32b:
how to know which side is the longest, 24 or ?
(Important, because that one has to below, in the Scheme!)
√
6
0
0
Slide 31 - Slide
[
?
]
√
6
0
0
How to find which is greatest:
or 24 ?!
Slide 32 - Mind map
Answer for 32b:
Key in on your calculator:
is about 24.49, so
LM = is the longest,
because KL = 24 and KM = 2.
√
6
0
0
√
6
0
0
√
6
0
0
Slide 33 - Slide
Tip for 33:
This exercise is a GREAT INTRODUCTION + EXPLANATION
for the rest of the whole paragraph!
Make sure you understand this one, before you go on!
Slide 34 - Slide
Homework time again!
Slide 35 - Slide
More lessons like this
2Tvwo §6.2 part 1 Calculating a side and part 2
January 2021
- Lesson with
27 slides
Wiskunde
Middelbare school
vwo
Leerjaar 2
2Tvwo §6.2 Calculating a side
February 2020
- Lesson with
36 slides
Wiskunde
Middelbare school
vwo
Leerjaar 2
2TTO §6.1 Pythagoras' theorem
January 2021
- Lesson with
15 slides
Wiskunde
Middelbare school
vwo
Leerjaar 2
2Tvwo §6.3 Applying the theorem(1)
February 2020
- Lesson with
25 slides
Wiskunde
Middelbare school
vwo
Leerjaar 2
2TTO §6.3 Applying the theorem (part 1 and part 2)
January 2021
- Lesson with
21 slides
Wiskunde
Middelbare school
vwo
Leerjaar 2
2Tvwo §6.1 Pythagoras' theorem
February 2020
- Lesson with
36 slides
Wiskunde
Middelbare school
vwo
Leerjaar 2
2Tvwo §6.6 Mixed exercises
February 2020
- Lesson with
27 slides
Wiskunde
Middelbare school
vwo
Leerjaar 2
2Tvwo Ch 6 SUMMARY, p.222-225
February 2020
- Lesson with
19 slides
Wiskunde
Middelbare school
vwo
Leerjaar 2