2Tvwo §6.2 Calculating a side

§6.2 Calculating a side
Do you remember our old, bearded friend from the past?
1 / 26
Slide 1: Slide
WiskundeMiddelbare schoolvwoLeerjaar 2

This lesson contains 26 slides, with interactive quizzes and text slides.

time-iconLesson duration is: 50 min

Items in this lesson

§6.2 Calculating a side
Do you remember our old, bearded friend from the past?

Slide 1 - Slide

Who is he?

Slide 2 - Mind map

§6.2 Calculating a side
Welcome back to: Pythagoras!
Next slide shows us another picture
of this great Maths chap, that coud've been anybody's neighbour. Or uncle, for that matter...

Slide 3 - Slide

Slide 4 - Slide

The theorem of Pythagoras
is about the sides of a right-angled triangle
is used to calculate an unknown side
is invented by Pete Agoras
is more than 2000 years old but still going strong

Slide 5 - Quiz

The theorem of Pythagoras...
asks for the use of a very handy scheme!

Slide 6 - Slide

Let's do exercise 8 together,
start doing 8 a), making a sketch!

Slide 7 - Slide

Here is the sketch:

Slide 8 - Slide

Now think hard about b:

Slide 9 - Slide

answer for b:

Slide 10 - Slide

Do c now:
First copy the scheme! Then:

Slide 11 - Slide

answer for c:

Slide 12 - Slide

Slide 13 - Slide

Time to do d:

Slide 14 - Slide

answer for d:
'exact' is not rounded off!

Slide 15 - Slide

Homework time.
Do §6.2 now, 
+  start with 7, then 9, 10, etcetera
+  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 16 - Slide

A few fine points from this paragraph follow now!

Slide 17 - Slide

How to calculate length BD?!

Slide 18 - Slide

We want to calculate BD.
What to calculate first?

Slide 19 - Mind map

Solution:   First calculate length CD in right-angled triangle ACD.
Then only calculate length BD in right-angled triangle BCD!

Slide 20 - Slide

One more new thing from §6.2!

Slide 21 - Slide

How (on earth) can you calculate DE or GH?
We do not even have a right-angled triangle! 

Slide 22 - Slide

How to calculate these lengths?

Slide 23 - 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 24 - Slide

Slide 25 - Slide

Homework time again.
Finish as much as you can!

Slide 26 - Slide