1TH/vwo §6.4 Formulas from graphs 1st Form (short version)

§6.4 Making a FORMULA from a GRAPH
1 / 22
suivant
Slide 1: Diapositive
WiskundeMiddelbare schoolvwoLeerjaar 1

Cette leçon contient 22 diapositives, avec quiz interactifs et diapositives de texte.

time-iconLa durée de la leçon est: 30 min

Éléments de cette leçon

§6.4 Making a FORMULA from a GRAPH

Slide 1 - Diapositive

For this graph...

Slide 2 - Diapositive

... we cannot make a formula, sadly enough.

Slide 3 - Diapositive

For wat kind of GRAPH can we make a FORMULA?
A
a graph that goes up and down
B
a linear graph
C
a graph that has the form of a circle
D
a straight line

Slide 4 - Quiz

Slide 5 - Diapositive

Maybe this Theory doen't explain much to you...
That's  why a few EXAMPLES follow.
One about a RISING GRAPH and one about a 
FALLING GRAPH.   


Slide 6 - Diapositive

A STRAIGHT LINE = our type of graph!
Look at the following slide. For this Graph we CAN
make a Formula! 

Slide 7 - Diapositive

Example 1

Slide 8 - Diapositive

Slide 9 - Diapositive

Example 2: As you see, we have a falling graph here.
Let's call the horizontal axis a and the vertical axis b.

Slide 10 - Diapositive

Step 1.   Above you see the table with 3 points from the graph.
Let's call the horizontal axis a and the vertical one b.
Step 2.  The graph starts at height 5 on the vertical axis. So that's the starting value.
Step 3.  When the graph goes to the right 1 step, it goes down 2 steps.
Step 4.   Putting steps 2 and 3 in the shape of a Formula:   
                 b = 5  -  2 x a
Let us Study the Theory one more time!
            
a
0
1
2
b
5
3
1

Slide 11 - Diapositive

Slide 12 - Diapositive

TASK:
Make a FORMULA for the GRAPH on the next slide.
Get a pen, pencil and geo and open your Notebook.
Use the METHOD you just saw.
Forgotten all about it?
It's on p.216 in your Textbook!

Slide 13 - Diapositive

timer
2:50

Slide 14 - Diapositive

step 1.Above you see the Table, 
that contains 3 points from the graph.
Let's call the axes:         a and b.
step 2.  The starting value is 5, because at that height the
                graph starts at the vertical axis.
step 3.  If you go 3 steps to the right, then you go down 2 steps.  So:
                If you go 1 step     to the right, then you go down       of a step.
step 4.  The Formula becomes:  b = 5 -     x a

               
            
x
0
3
6
y
5
3
1
32
32

Slide 15 - Diapositive

The + and - signs make a huge difference:

Slide 16 - Diapositive

PRACTICE PRACTICE PRACTICE ...
Now it's time you make a FORMULA for a GRAPH yourself!

Slide 17 - Diapositive

FOTOVRAAG- to be handed in, in the next slide!
- have you got your:
   1. Notebook   2. pencil   3. geo  4. eraser    before you?
- if not, get it right now!
- the task starts; 
   1. make it in your Notebook   2. take a pic   3. send it in in!

Slide 18 - Diapositive

Use the Method from p.218 
again!
FOTOVRAAG
timer
2:00

Slide 19 - Diapositive

28a - my work on Andrews' Formula:

Slide 20 - Question ouverte

Solution:

Slide 21 - Diapositive

Homework time.
You may skip 25 and 26
Make §6.4 now.   Don't forget to:
+  check your work with the Solutionsbook
+  take a few pictures of it
+  send them in in GC

Slide 22 - Diapositive