# 1TH/vwo §11.4+§11.5 MORE PRACTICE!

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Slide 1: Slide
WiskundeMiddelbare schoolhavo, vwoLeerjaar 1

This lesson contains 34 slides, with interactive quizzes and text slides.

Lesson duration is: 50 min

## Items in this lesson

#### Slide 2 -Slide

But first...
Open your Notebook and take a
- pen, pencil, eraser

#### Slide 4 -Slide

The coordinate system is something you have to KNOW.
Next is making a FORMULA for a STRAIGHT GRAPH.
This something you have to UNDERSTAND!

#### Slide 5 -Slide

2 things are important to know,
when making a formula for this graph:

1st:  at what height does the graph go through the vertical axis?
2nd:  how much does it rise when going one step to the right?
Next slides show you the Method and an example, completely worked out!

#### Slide 8 -Slide

Now it's your turn! Step by step.

#### Slide 9 -Slide

Step 1: Mention a GRID POINT in this graph in the next slide. Don't forget the brackets!

#### Slide 10 -Slide

timer
0:20
A grid point: (..., ...)

#### Slide 11 -Mind map

Grid points are:
(-1, 4) (0, 2) (1, 0) (2, -2)
So: no fractions, but whole numbers!

#### Slide 12 -Slide

STEP 2:     Read off the start number.
Key in in the next slide.

#### Slide 13 -Slide

The start number is:
timer
0:15
A
0
B
-2
C
2
D
(0, 2)

#### Slide 14 -Quiz

The start number is ..... 2!
At the height of 2 the graph goes through the
vertical axis. That's why!

#### Slide 15 -Slide

Work out in your head how much the graph rises or falls per horizontal step of 1.
Key in in the next slide the number
that has to be filled in!

#### Slide 16 -Slide

The number is .....
timer
0:15
A
2
B
-2
C
1
D
1/2

#### Slide 17 -Quiz

Work out in your head how much the graph rises or falls per horizontal step of 1.
Per step of 1 the graph falls by 2 steps.
So: the value of y decreases (=gets less)
by 2.

#### Slide 18 -Slide

Task 4          Step 4:  Key in the right formula in the next slide.

The formula is:
timer
0:30
A
y = -2x + 2
B
y = -2 + 2x
C
y = 2 - 2x
D
y = -2 - 2x

#### Slide 20 -Quiz

SOLUTION:   Task 4          Step 4:  Key in the right formula in the next slide.
We now fill in the numbers
from steps 2 and 3:
y = -2x + 2   or
y = 2 - 2x     or
2 - 2x = y

#### Slide 21 -Slide

High time for a recap on §12.5 now, but ...
even higher time for a JOKE!

#### Slide 25 -Slide

The last thing you have to know is this:
suppose you've got a Parabola and a Point given.
How can we find out -by Calculating!-  IF the point lies on the graph?!
NOTE: we don't draw the graph, to check it. Too much work
for us, lazy bones!

#### Slide 29 -Slide

FOTOVRAAG:  Work this out in your Notebook, take a picture and send it in!
timer
1:00

My Calculation:

#### Slide 31 -Open question

Watch the next slide too!

#### Slide 32 -Slide

Addition:  From the Graph you can see that it is necessary to Calculate it, because x = -5 is not visible on the graph!!

#### Slide 33 -Slide

1T HV classes:
Homework time- Finish all the Homework for Ch11!
Here is an OVERVIEW of all the tasks to make:
§11.1. t/m. §11.5 as follows:
§11.1    Skip  1, 5 and 7
§11.2   Skip 8 and 10
§11.3   Skip 15 and 16
§11.4   Do  25, 29, 30, 31 S28 + S30
§11.5   Do the Support path