1TTO §6.2 Graphs from formulas

• Wiskunde
• Middelbare school
• havo, vwo
• Leerjaar 1

1TH/vwo §7.2 Graphs from formulas

Many TABLES to be made and many

GRAPHS to be drawn this paragraph.

First we do a part of the paragraph together.

If you participate well, you may SKIP a few exercises from the paragraph.

Materials ....

+ Take before you the right things:

+ pencil, pen, geo triangle or ruler, eraser

+ Notebook and Textbook 1A

7

This was the Theory.

Next slide shows us an example.

6

5

Steps of 60 is fine, because ...

1. you have to put 300 on the axis; then you need 300 : 60 = 5 cm.
2. the time goes from 0 to 5
3. the distances go up by 60 all the time
4. there is no zigzag needed

Question about this task:

What to do first, before plotting the graph?

Answer in next slide.

First you ....

Solution:

First you ...

MAKE A TABLE !

As follows:

1

You may skip exercises 9, 10 and 11.

Now start doing 12, by copying and filling in the Table above!

Note: only the even number are used, because otherwise there would be 15 numbers...

Question: Is a 'zigzag' a good idea or not?

A zigzag: a good idea? (Why?)

1. no
2. yes

Solution:

Yes. Because the height only starts at 120 cm.

(By the way: the Solutionsbook does not do this!)

Question: What is a good scale for the corresponding Graph?

Why? For the answer see next slide.

Homework time

Do of §7.2 now: 11, 12 and 13

Plotting good Graphs, using a pencil and a geo/ruler.

1.make it

2.correct your work with the Solutionsbook

3.if asked take pics and

4.send them in in Magister

Question: What is a good scale for the vertical axis 

of the corresponding Graph?

Solution: 260 - 120 = 140

140 : 20 = 7 , so if you use as a scale:    

 20 cm in table = 1 cm in graph, then you need 7 cm.

That's fine.

Now PLOT the GRAPH!   Remember:

1.  a zigzag at height 160 cm

2. scale on vertical axis: 20 cm in 1 cm.

Make your teacher happy: draw a beautiful graph!

In this exercise you can see that 2 Graphs are plotted, in THE SAME COORDINATE SYSTEM!

NOTE 1:   First a handy TIP about the Tables: 

USE a DOUBLE TABLE - saves you some work.

NOTE 2:  An important remark in 13a is: 'Take the horizontal axis to 10.'

Part 2 of 7.2

Question about d:

What special point of both graphs is meant in this question?

Answer in the next slide.

The special point is ....?

Solution:

the point of intersection 

Next slide explains us how you can

see from the Formula if the Graph

is Rising or Falling.

Send in S12

Homework time

Do §7.2 now: S14, 14 and 15.

Plotting good Graphs, using a pencil and a geo/ruler.

1.make it

2.correct your work with the Solutionsbook

3.if asked take pics and

4.send them in in Magister