# 6.4 Pythagoras in solids part 1_2vtto

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Slide 1: Tekstslide
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In deze les zitten 26 slides, met interactieve quizzen en tekstslides.

Lesduur is: 50 min

## Onderdelen in deze les

#### Slide 1 -Tekstslide

6.4 Pythagoras in solids
First we look at some new words:
+ partition                                                                   + cross-section
+ plane                                                                                   + intermediate results
+ wire model                                                                                    + slant edges

#### Slide 2 -Tekstslide

a partition is a ......

(ex. 24a)
A
sweet cake
B
divider
C
a special type of fraction
D
request

Ex.24

A plane is a ...

(ex.25)
A
flat surface
B
aeroplane
C
thought
D
development

#### Slide 5 -Quizvraag

These are 'planes', 'partitions' or 'cross-sections'.
There is not much difference between the meaning of these words.

#### Slide 6 -Tekstslide

What is a wire model?
A
a catwalker
B
a model wearing iron clothes
C
3D model with only vertices and lines
D
a light car, made of wire only

#### Slide 7 -Quizvraag

A wireframe is a three-dimensional
model that only includes
vertices and lines.

It does not contain
surfaces or textures.

#### Slide 8 -Tekstslide

Important, remember!
An intermediate result:
for example the answer from question a),
that you need again at question b) - and therefore should not yet be rounded!!!!

#### Slide 9 -Tekstslide

Slant roofs on a house.
Watch next slide!

#### Slide 11 -Tekstslide

Pythagoras was good in Solids too!

#### Slide 12 -Tekstslide

His theorem....
is also used to calculate lengths in cubes, cuboids etc.

#### Slide 13 -Tekstslide

Homework time.
Discover Pythagoras in 3D yourself, today! Later this LessonUp is continued.

#### Slide 15 -Tekstslide

That was short, wasn't it?
It's Homework time again
Later we will have a look at (calculations in) pyramids.

#### Slide 17 -Tekstslide

ex. 28, 29 and 30 are about pyramids!
To CALCULATE the HEIGHT it is important to
+  make good SKETCHES  and
+  make the corresponding SCHEMES again!
+ Let's have a short look at ex. 28.

#### Slide 20 -Tekstslide

28a The sketch of TPR:
This is all fine, but we cannot calculate
height TQ yet!
We do not know TQ nor RT.
That's why......

#### Slide 21 -Tekstslide

We will use face BCT.
Why?
+ to first calculate RT an only then
+ calculate TQ!
+ Of BCT we happen to know:
+ BT = 6  and BR = 2
+ For a SKETCH, see next slide!

#### Slide 22 -Tekstslide

This was just an
INTRODUCTION to
28 (29 and 30),
Remember that it all about looking for right-angled-triangles and the
making SKETCHES and SCHEMES to CALCULATE the missing lengths!!

#### Slide 24 -Tekstslide

Question: What was that animal?