2TH/vwo §1.4 Directly proportional

§1.4 Directly proportional
This title probably doesn't mean a thing to you.
After this lesson it will!

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Slide 1: Tekstslide
WiskundeMiddelbare schoolhavo, vwoLeerjaar 2

In deze les zitten 13 slides, met interactieve quizzen en tekstslides.

time-iconLesduur is: 45 min

Onderdelen in deze les

§1.4 Directly proportional
This title probably doesn't mean a thing to you.
After this lesson it will!

Slide 1 - Tekstslide

Question:
For which graph(s) is the following statement true:
If x is made twice as large, then also y becomes twice as large.

Slide 2 - Tekstslide

This rings true for graph ...
A
2
B
neither of them
C
1
D
both of them

Slide 3 - Quizvraag

If x is made twice as large, then also y becomes twice as large.
This is true for graph 1 only, because:
on graph 1 there are points (2, 5) and (4, 10) to be found.
Multiplying x :            2 by 2 gives 4   and 
multiplying y :           5 by 2 gives 10.
In the next slide we come back at this with the Theory from the book.

Slide 4 - Tekstslide

Slide 5 - Tekstslide

Slide 6 - Tekstslide

What is the dutch expression for 'directly proportional'?

Slide 7 - Woordweb

Directly proportional is in dutch:
recht evenredig

Slide 8 - Tekstslide

Slide 9 - Tekstslide

Question:
Which statement is true:
1. If a formula is linear, it is also a directly proportional relation.
2. If a formula is  directly proportional,  then the graph is linear.
Answer this in the next slide!

Slide 10 - Tekstslide

Which statement is true?
A
1
B
neither
C
both
D
2

Slide 11 - Quizvraag

Solution:
Which statement is true:
1. If a formula is linear it is also directly proportional.
2. If a formula is directly proportional it is also linear.
Statement 2 is true. Number 1 is not, because a linear graph doesn't have to go through the origin. A linear graph is a straight line. No more.

Slide 12 - Tekstslide

Homework
As usual, choose the right path:
+  havo:   support path
+  vwo:    standard path or challenge path,
                  You may SKIP:   24 and 30
       

Slide 13 - Tekstslide