1TTO 12.4 Linear formulas

§12.4 Linear formulas
The main goal in this paragraph is: 
 Learning how to make a FORMULA for a LINEAR GRAPH!
First a Freshen Up Task. 
See next slide!
1 / 26
next
Slide 1: Slide
WiskundeMiddelbare schoolhavo, vwoLeerjaar 1

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

time-iconLesson duration is: 45 min

Items in this lesson

§12.4 Linear formulas
The main goal in this paragraph is: 
 Learning how to make a FORMULA for a LINEAR GRAPH!
First a Freshen Up Task. 
See next slide!

Slide 1 - Slide

timer
0:25
What is a linear graph?

Slide 2 - Mind map

A linear graph is a straight line
in a coordinate system.

Slide 3 - Slide

Point of attention:
Everybody can learn how to make a formula for a linear graph.
However, it takes several steps - 4, in fact! - to do this.
So concentrate and work hard on all the coming slides.
Only then you will get to know 'the whole trick'! 

Slide 4 - Slide

Take before you:
+ Notebook and Textbook 1B, p.182
+ From your pencil case: 
    pencil, pen, geo, eraser
timer
0:25

Slide 5 - Slide

Something new about the Coordinate system(1):

Slide 6 - Slide

Something new about the Coordinate system (2):
Schermafbe

Slide 7 - Slide

In which quadrant have you been working up to now?
timer
0:15
A
4
B
3
C
2
D
1

Slide 8 - Quiz

Watch: the POSITIVE NUMBERS
are used for the 1st Quadrant.
And the 1st Quadrant is the one that
you've used up to now.
But this gonna change soon...

Slide 9 - Slide

Now more about Formulas and Graphs:

Slide 10 - Slide

Here you see the graph 
that belongs to the Formula!

Slide 11 - Slide

Making a FORMULA for this graph...
is exactly what you're going to learn now!

Slide 12 - Slide



We study the Method together now.
After this you are going to work out these steps yourself!

Slide 13 - Slide

 om 19.56.

Slide 14 - Slide

TASK:
Make a FORMULA for the GRAPH!
How?
+  Open your Notebook.
+  Open your Textbook on p.184 so you can look
     back at the METHOD
+  You're going WORK OUT the 4 STEPS that
    we just studied



Slide 15 - Slide

Step 1=FOTOVRAAG (next slide)
Step 1:
Make a TABLE 
in your Notebook 
with values you can
read off exactly! 
(for this graph only 3 values for x and 3 for y)
Take a pic and send it in.


timer
0:45

Slide 16 - Slide

The TABLE (step 1):

Slide 17 - Open question

Solution Step 1:

Slide 18 - Slide

Step 2:
Read of the Start number.
Do this from the Table you made!

timer
0:15
A
6
B
2
C
-6
D
3

Slide 19 - Quiz

Solution Step 2:

The goes through the Vertical
axis at height -6. 
That's why.
The coordinates (0, -6) from the table
also give you this information.

Slide 20 - Slide

Step 3:
How much does the graph rise or fall per horizontal step of 1?
Read this off from your Table.
timer
0:25
A
2
B
3
C
-6
D
6

Slide 21 - Quiz

Solution step 3:

Slide 22 - Slide

Step 4:
The Formula is: ....................
timer
0:30
A
y = 6x - 3
B
3x - 6 = y
C
x = 3y - 6
D
y = - 6 + 3x

Slide 23 - Quiz

Solution step 4:
the Formula is:
y = 3x - 6                  or:             3x - 6 = y     
 or  also:                                      -6 + 3x = y

Slide 24 - Slide

Looking back ....
- did you do great, or
- did you miss out on these tasks?
- most important is to try hard, so that you learn a lot,
- you probably really begin to understand it when doing your homework! 

Slide 25 - Slide

Homework:
§ 12.4 Linear formulas: 27, 28 and 29.

Slide 26 - Slide