+  §12.4 Linear formulas was about  STRAIGHT LINES.

When following this LessonUp you will learn what
this is.
1 / 27
Slide 1: Tekstslide
WiskundeMiddelbare schoolhavo, vwoLeerjaar 1

In deze les zitten 27 slides, met interactieve quizzen en tekstslides.

Lesduur is: 45 min

## Onderdelen in deze les

+  §12.4 Linear formulas was about  STRAIGHT LINES.

When following this LessonUp you will learn what
this is.

#### Slide 1 -Tekstslide

Graphs, graphs, graphs ...
As some graphs will be drawn by you in this paragraph,
now take before you:
+ a pencil, eraser and geo
In other words: The Right Stuff.

timer
0:20

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:          =

This is the 'Mother' of all
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

Some points of attention for
the graph of:            =
ATTENTION: The y coordinate is higher than the
x coordinate most of the times. Just look at the Table.

QUESTION:  Mention an EXCEPTION to this rule in the next slide!
Watch the Graph closely once more.
y
x2

#### Slide 10 -Tekstslide

Some points of attention for
the graph of:            =
ATTENTION: The y coordinate is higher than the
x coordinate most of the times. Just look at the Table.

QUESTION:  Mention an EXCEPTION to this rule in the next slide!
Watch the Graph closely once more.
y
x2

#### Slide 12 -Tekstslide

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

#### Slide 14 -Tekstslide

What is the main difference
between this graph and the one
for                                           ?
Teacher gives a turn to several pupils.
y=x2

#### Slide 15 -Tekstslide

give you the neccessary practice for doing the
Homework.

Calculate
when x = -6

y=x2
timer
0:20
A
-36
B
12
C
-12
D
36

#### Slide 17 -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 18 -Tekstslide

Now when x = -4,
calculate
Remember and key in, in the next slide!
y=x23
y

Calculate
, when

y=x23
x=4
timer
0:30
A
-13
B
-7
C
-11
D
13

#### Slide 20 -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 21 -Tekstslide

about §12.5 follows in this Lesson Up.

Havo and H/V,  Do: 33, S35, 36, 37, 38, S39
VWO,                     Do:
NOTE:     Study the Theory parts when they come up!

#### Slide 22 -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 later this lesson.
For this we will use the Method on p.188.

#### Slide 23 -Tekstslide

Homework time

Havo and H/V,  Do: S35, 36, 37, 38 and S39
VWO,                     Do: 37, 38, 39, 40, C9 and C10
NOTE:     Study the Theory parts when they come up!

#### Slide 24 -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.

Homework time