# 2Tvwo §6.6 Mixed exercises

§6.6 Mixed exercises
This § gives you good material to practice all you learned in Ch 6 once more.
However, the final 2 exercises, that are 43 and 44, are pretty tough.
So you have a choice:
+  the Challenge path: just do §6.6 completely.
+ the Standard path:
Do:    -  §6.6 excluding 43 and 44,
-  p.229 E7 and E8

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Slide 1: Tekstslide
WiskundeMiddelbare schoolvwoLeerjaar 2

In deze les zitten 27 slides, met interactieve quizzen en tekstslides. Lesduur is: 50 min

## Onderdelen in deze les

§6.6 Mixed exercises
This § gives you good material to practice all you learned in Ch 6 once more.
However, the final 2 exercises, that are 43 and 44, are pretty tough.
So you have a choice:
+  the Challenge path: just do §6.6 completely.
+ the Standard path:
Do:    -  §6.6 excluding 43 and 44,
-  p.229 E7 and E8

#### Slide 1 -Tekstslide

INTRODUCTION
let's go through some of the exercises together!

#### Slide 2 -Tekstslide

Drawing or sketching is something ...
+   that everybody can do
+  helps you making your homework
+ read in the next slide how to do this!

#### Slide 4 -Tekstslide

• These SKETCHES are only a PART of the exercises!
• Write down '38' in the margin of your Notebook.
•  Make a sketch in your Notebook, to work out the longest paper chain.
• So draw a right-angled triangle, including all the given measurements.

Solution 1:

#### Slide 6 -Tekstslide

Save some space for the Calculation of 38 (!)
Write '39' in the margin.
Make a SKETCH to work out the length of the straw.
Include all you know.
Make sure you can apply Pythagoras in it!
This task -and the SKETCH as a reresult- is a good START of 39!

Solution 2:

#### Slide 9 -Tekstslide

Save some space for the Calculation of 39.
Write down '40' in the margin.
Sketch the route of the stunt rider: only a Right-angled triangle!
This task -and the SKETCH that is the result of it!- are a good
START of 40!

Solution 3:

#### Slide 11 -Tekstslide

Preparing 41 together.
This text of this exercise consists of only 4 lines and is about a pyramid.
Pretty abstract, isn't it?!  We will make it more concrete!
In a few steps we will:
+  calculate
+ sketch and then again:
+ calculate what is needed, to find : THE HEIGHT of the PYRAMID !

#### Slide 13 -Tekstslide

What could be a good first step?

#### Slide 14 -Woordweb

STEP 1:
Calculate the length of the slanted edges:
1m = 100 cm.
100 - 4 x 10 = 100 - 40 = 60
60 : 4 = 15 cm

#### Slide 15 -Tekstslide

Because the book
does not give it, I present you
with a sketch in 3D.
Watch the capital letters  and the lengths!

#### Slide 16 -Tekstslide

Sketch the triangle in which you can calculate
the HEIGHT of the Pyramid.
For this we will go back to the previous slide!

Solution 4:

#### Slide 19 -Tekstslide

What is the next logical step?

#### Slide 20 -Woordweb

Solution previous question:
Calculate the length of BV,
in base ABCD, with
the theorem of Pythagoras.
See next slide!

#### Slide 22 -Tekstslide

Next this sketch is needed:
FINALLY we can
calculate the HEIGHT!

#### Slide 23 -Tekstslide

Homework time!
To refresh your memory, here comes the very first slide again!

#### Slide 24 -Tekstslide

§6.6 Mixed exercises
This § gives you good material to practice all you learned in Ch 6 once more.
However, the final 2 exercises, that are 43 and 44, are pretty tough.
So you have a choice:
+  the Challenge path: just do §6.6 completely.
+ the Standard path:
Do:    -  §6.6 excluding 43 and 44,
-  p.229 E7 and E8