Ultra short recap and a look forward too:
+  §12.4 Linear formulas was about  STRAIGHT LINES.

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Slide 1: Tekstslide
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In deze les zitten 20 slides, met interactieve quizzen en tekstslides.

Lesduur is: 45 min

Onderdelen in deze les

Ultra short recap and a look forward too:
+  §12.4 Linear formulas was about  STRAIGHT LINES.

Slide 1 -Tekstslide

Graphs, graphs, graphs ...
As some graphs will be drawn by you in this paragraph,
now take before you:
+ Notebook
+ Pencil, eraser and geo

A
abcd
B
abc
C
abd
D
c

Slide 5 -Quizvraag

Solution:
As you've just learned, in order to be a Quadratic Formula,
there must be a SQUARE of a VARIABLE in it!
So this rings true for: a, b and d.
Formula c contains a square all right, but not the square of a variable!

Slide 6 -Tekstslide

Have you got a clue...
what the GRAPH for the FORMULA             =
looks like?
Next 2 slides show you all about it.
And more!
x2
y

Slide 7 -Tekstslide

graph for:          =

y
x2

Slide 8 -Tekstslide

Some points of attention for
the graph of:            =
+ watch the nicely rounded shape
+ it's name is: a PARABOLA
+ some 'easy to find' points in the
table are: (3, 9), (1, 1) but also:
(-3,9) and (-1,1)
y
x2

Slide 9 -Tekstslide

So this graph for the formula:
y =            is ....
In this paragraph you will
are all variations to this one.
Next slide shows you a graph that is derived from (=afgeleid van) the
Basic graph.
x2

Slide 11 -Tekstslide

Calculate y = x squared when x = -6
A
-36
B
12
C
-12
D
36

Slide 12 -Quizvraag

Solution:
y =
when we fill in:  x = -6,  we need BRACKETS:
y =             = -6 x -6 = 36   (and not -36!)
Let's practice a bit more with this, as it will make doing
x2
(6)2

Slide 13 -Tekstslide

Now when x = -4,
what is y ?
Remember and key in in the next slide!
x2

A
-13
B
5
C
-11
D
13

Slide 15 -Quizvraag

SOLUTION:               y =      -3
Now when x = -4,  we replace the variable      by  -4, as follows:
y =            - 3  =            -3  =  -4  x  -4  -3 = 16 - 3 = 13
x2
x
x2
(4)2

Slide 16 -Tekstslide

Finally ...
You'll learn how to check if a certain point lies on a graph.
We will study the Method how to check this.
If this isn't clear to you, don't worry.
It's all in §12.5 and you can study the Method as long as you need!

Slide 17 -Tekstslide

Suppose you have a graph and a point ...
and you want to know IF that point lies on the graph.
What to do to know for sure?
Let's study the Theory in the next slide together.

Slide 19 -Tekstslide

Homework time

Remember to Study the Theory parts (again) when they come up!