2Tvwo §6.6 Mixed exercises

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 2

§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

INTRODUCTION

To help you a bit on your way,

let's go through some of the exercises together!

Drawing or sketching is something ...

+   that everybody can do

+  helps you making your homework

+ read in the next slide how to do this!

Task 1 is about exercise 38:

• The coming tasks are about SKETCHES only.
• 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:

Task 2 is about 39:

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:

Task 3 is about 40:

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:

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 !

What could be a good first step?

Answer previous question:

STEP 1:

Calculate the length of the slanted edges:

1m = 100 cm.

100 - 4 x 10 = 100 - 40 = 60

60 : 4 = 15 cm 

A helpfull sketch:

Because the book 

does not give it, I present you 

with a sketch in 3D.

Watch the capital letters  and the lengths!

Task 4, about 41 again:

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:

What is the next logical step?

Solution previous question:

Calculate the length of BV,

in base ABCD, with 

the theorem of Pythagoras.

See next slide!

Next this sketch is needed:

FINALLY we can

calculate the HEIGHT!

Homework time!

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

§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