2TH/vwo §3.1 Square roots

• Wiskunde
• Middelbare school
• havo, vwo
• Leerjaar 2

§3.1 Square roots

What's new then?

The operations:    +   -   x    and  :   

are familiar to you by now.

You've known them for a long time.

However in this lesson a NEW OPERATION comes up!

Question: What are the 4 areas of these squares?

Key them in from left to right, in the next slide.

The 4 areas are ...

Solution:

the areas are:

1,   4,    ,9  and   16  grid squares

You see 3 squares lined up here.

Question:

What are the lengths of the 3 different sides?

Key them in in the next slide.

The 3 different lengths are ......

You see 3 squares lined up here.

Question:

What are the lengths of the 3 different sides?

Solution:   the 3 different lengths we see are  5,   9   and     ......  ??! 

Your state of mind now may be best described by the next slide!

This is the one the gave us a

-   headache or a 

-   thrill

Choose whatever applies to you.

Question:

Between which 2 WHOLE NUMBERS

does the length of this square lie?

ANS

Between ... and ...

Question:

Between which 2 WHOLE NUMBERS

does the length of this square lie?

Solution:

Between 10 and 11.    Why?

Because 10 x 10 = 100      and   11 x 11 = 121

SOMETHING NEW NOW:

we call the length of the square'a side:

THE ROOT OF 112 !

Get your CALCALATOR now!

Find the ROOT key and KEY IN:

ROOT 7 !

It's clear that   

      7     is not a whole number.

√​​​​

Homework:

make §3.1 square roots

you may skip exercise 4