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1TH/vwo §11.4+§11.5 MORE PRACTICE!
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Slide 1:
Slide
Wiskunde
Middelbare school
havo, vwo
Leerjaar 1
This lesson contains
34 slides
, with
interactive quizzes
and
text slides
.
Lesson duration is:
50 min
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Items in this lesson
Slide 1 - Slide
Slide 2 - Slide
But first...
Open your Notebook and take a
- pen, pencil, eraser
- from your pencil case!
Slide 3 - Slide
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 6 - Slide
Slide 7 - Slide
Slide 8 - Slide
Now it's your turn! Step by step.
Slide 9 - Slide
Task 1
Step 1: Mention a GRID POINT in this graph in the next slide. Don't forget the brackets!
Answer in the next slide.
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
Task 2.
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
Task 3: Step 3:
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
SOLUTION: Task 3: Step 3:
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.
Slide 19 - 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 22 - Slide
Slide 23 - Slide
Slide 24 - Slide
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 26 - Slide
Slide 27 - Slide
Slide 28 - Slide
Slide 29 - Slide
Task 4:
FOTOVRAAG: Work this out in your Notebook, take a picture and send it in!
timer
1:00
Slide 30 - Slide
My Calculation:
Slide 31 - Open question
Solution Task 4:
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
Slide 34 - Slide
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