Numbers and Space 1hv werkboek.pdf

8/17/2019 Numbers and Space 1hv werkboek.pdf

1/52

num bers and space

www.getalenruimte.epn.nl

first print,

se co nd e dition, 2005

L.A. Reichard

S . Rozemond

J .H. Dijkhuis

C.J . Admiraa l

G . J . te Vaa rwe rkJ .A. Verbe ek

G . d e J o ng

N.J . J .M. Broka mp

H.J . Houwing

R. d e Vroome

J .D. Kuis

F. ten Kloos ter

F.G. van Leeuwe n

S .K.A. d e Wa a l

J . va n Bra a k

workbook-i

1 havo/vwo

math

cd-rom included

PART I 27-04-2005 11:51 Pagina 1


2/52

Co ver des ign: In ontw erp, Ass en, in co llab oration with GREET, Amsterdam, Netherlands

Ba sic book d esign: G erard S alomons B NO, G roningen, Netherlands

Layout: PlantijnCasparie Data, Deventer, Netherlands

Trans lation: Overta a l BV, Utrecht, Netherland s

© 2004 EPN, Houten, The Netherland s

Behoudens de in of krachtens de Auteurswet van 1912 gestelde uitzonderingen mag niets uit deze uitgave worden verveelvoudigd,

opgeslagen in een geautomatiseerd gegevensbestand of openbaar gemaakt, in enige vorm of op enige wijze, hetzij elektronisch,

mechanisch, door fotokopieën, opnamen of enig andere manier, zonder voorafgaande schriftelijke toestemming van de uitgever.

Voorzover het ma ken van reprografische verveelvoudigingen uit de ze uitgave is toeg es taa n op grond van a rtikel 16h Auteurswet 1912

dient men de daarvoor verschuldigde vergoedingen te voldoen aan Stichting Reprorecht (postbus 3051, 2130 KB Hoofddorp,

ww w.reprorecht.nl). Voor het overnemen va n korte ge dee lte(n) uit de ze uitga ve in bloemlezinge n, read ers e n a ndere c ompilatiewerken

(artikel 16 Auteurswet 1912) kan me n zich w ende n tot Stichting P RO (Stichting Pub lica tie- en Reproductierechten Orga nisa tie, p ostb us

3060, 2130 KB Hoofdd orp, w ww.c eda r.nl/pro). Voor het overnemen van niet-korte g ede elte(n) dient me n zich rechts treeks te wend en to t

de uitgever.

All rights reserved. No part of this publication m ay be reproduc ed, stored in a retrieval system, or transmitted, in any form or by any

means, electronic, mechanical, photocop ying, recording or otherwise without prior written permission of the p ublisher.

ISB N 90-11-09133-78

PART I 27-04-2005 11:51 Pagina 2


3/52

ICT on the cd-rom

Function machine

– Introduction 4

– Tables and graphs 6

Reflecting 7

Rotating houses 8

Building houses 9

Figures

1 Space 11

2 Numbers 13

3 Locating points 14

4 Diagrams 21

5 Lines and Angles 25

IMA part 1 32

Combined exercises part 1 36

6 Formulas 40

7 Measuring 40

8 Formulas and letters 41

9 Symmetry 44

IMA part 2 49

Combined exercises part 2 50

Cut-out sheets 1 t/m 7 centre section

C ontents

PART I 27-04-2005 11:51 Pagina 3


4/52

Introduction

Theory A

Start the learning line Function Machine. You will see the screen shown in figure 1.

You will be constructing function machines in the blank area. Each function machine starts

with an input box and ends with an output box.

Carry out the following steps to construct the function machine

• Use the mouse to drag an input box, an add box and an output box to the right-hand field.

• Move the arrow of the input box and attach it to the left-hand side of the add function.

Join the add function’s arrow to the output box.

• Click on the number 3 of the add function and change the 3 to a 5.• Click on the input box and type in –2.

As you can see, the number 3 automatically appears in the output box.

There is room for more function machines in the right-hand field.

Here are two more functions. The number 3 is the input in both cases. In the first function,

you must first multiply by 4 and then subtract 7. In the second function, it works the other

way round. As you can see, the output is different.

4 ICT 1 havo/vwo part 2

figure 1 On the left there is an input/output box and seven machines. You can drag them to the right-hand field and drop them there.

ICT on the cd-romThe applet ‘Function Machine’ page 20

PART I 27-04-2005 11:51 Pagina 4


5/52

ICT 1 havo/vwo part 2 5

1 a Construct the following function machines and fill in the output for each of them.

b For each of the above functions, replace the input with -12 and fill in the output.

2 a Construct the following function machines and fill in the output for each of them.

b For each of the above functions, replace the input with 12 and fill in the output.

3 Use the computer to search for the correct input.

Theory B

You can express a formula as a function machine. The formula

amount = 5 . number of hours + 18 is expressed by the function machine

As you can see, you can also type words in the input box. However, as you cannot enter

word spaces in the applet, the words “NumberofHours” are joined together.

Take care: the input is the number of hours

the output is the amount.

Return to the book and complete exercises 48 to 51 included with the aid of the computer.

The function

divides the

input by 2.

/ 2

Number of Hours x 5 + 18 5. Number of Hours + 18

PART I 27-04-2005 11:51 Pagina 5


6/52


Tables and graphs

The formula costs = 40 + 30u is expressed by the following function machine

Start the applet Function Machine and construct this function machine. Click on the box

labelled Table on the bottom left-hand side. A table representing the function machine will

appear on the screen. The table contains two columns, one of which represents the input u,

while the other represents the output 30 . u + 40.

There is a relationship between the numbers in the columns that are opposite each other.

Click on one of the numbers. What do you see?

Click on one of the triangles in the table. What do you see?

Click on the bottom left-hand box labelled Graph. A graph window appears on your screen.

Drag the arrow of the output box and attach it to the graph window. The vertical axis does

not yet show the correct numbers. You can change the scale by clicking on the upward

pointing arrow in the graph window a few times. Check that you have the same result as

shown in the figure below.

When you click on a number in the table, the corresponding point in the graph will be shown

in pink.

Return to the book and complete exercises 64, 65 and 66 with the aid of the computer.

The applet ‘Function Machine’ page 27

PART I 27-04-2005 11:51 Pagina 6


7/52


Start the applet

1 Draw a shape with the left mouse button.

You can clean up the window with the

Delete button. Start each exercise with a

clean window.

2 a Click on the buttons Axes and Reflect

along the x -axis and make a drawing.

b What happened?

3 a Click on the buttons Axes and Reflect

along the y -axis and make a drawing.

b What happened? Which colours can you

see in your drawing?

4 Make a drawing where you reflect along

both the x-axis and the y-axis.

5 Try using the button Reflect diagonally.

6 Draw a butterfly.

figure 2

figure 3

The applet Reflecting page 126

PART I 27-04-2005 11:51 Pagina 7


8/52


Start the applet.

In the window you can see a ‘blockhouse’ on the left.

On the right you can see one of the six possible elevations.

Turn the blockhouse with your mouse until you have the correct elevation.

Click on OK and continue with the following question.

Note your score when you have completed 20 questions.

figure 4 The blockhouse has six elevations: the plan, the front, rear, right and left elevations, and the top view.

The applet Rotating Buildings page 151

PART I 27-04-2005 11:51 Pagina 8


9/52


Start the applet. The screen shown on the

right will appear. You can build and break

down ‘blockhouses’ with this applet.

You can look at and hide different elevations.

You can rotate your blockhouse in all

directions with your mouse.

1 a Set the counter to 3 and build the

blockhouse shown in figure 6.

b Draw the plan.

c How many cubes can you remove

without changing the plan?

2 Check that the counter reads 3.

A blockhouse consists of four cubes.

The elevation shown on the right is

both the front elevation and the right

side elevation. A number of plansare possible. Draw four of them with the

aid of the applet.

3 Keep the counter on 3.

A blockhouse consists of eight cubes.

The plan and front elevation are

shown in figure 8.

Draw the three right side elevations

that are possible.

figure 5 The start-up screen.

figure 6

figure 7

figure 8

The applet Building Houses page 151

pla n front eleva tion

PART I 27-04-2005 11:51 Pagina 9


10/52


4 Set the counter to 4.

The plan and right side elevation of a

blockhouse are shown in figure 9.

a Assume that there are 16 cubes.

Draw the front elevation.

b Assume that there are 7 cubes.

Draw the four front elevations that

are possible.

5 Figure 10 on the right shows a blockhouse

and its plan. Each box in the plan shows the

number of cubes stacked on top of each

other.

a Fill in missing numbers.

b How many cubes can you remove

without changing the plan or the front

and right side elevations?

6 Figure 11 on the right shows the plan of a

blockhouse. Each box again shows the

number of cubes stacked on top of each

other.

a Draw the front and right side elevations.

b How many cubes can you remove

without changing the three elevations?c How many cubes can you add without

changing the elevations?

7 A construction consists of a number of

cubes. Figure 12 shows the front and right

side elevations. The base consists of 16

cubes.

a What is the minimum number of cubesused?

b What is the maximum number of cubes

used?

figure 9

figure 10

0

1

0 0 0 0

0 0 0 0 0

1 1 1 1 2

4 4 6 3

23 4 1

2

figure 11

figure 12

4

4

3 3 2

1

0

0

pla n right eleva tion

front eleva tion right eleva tion

PART I 27-04-2005 11:51 Pagina 10


11/52

Figures chapter 1 11

Figuresfigure 1.32a b page 5

figure 1.32cd page 5

figure 1.65 page 6

PART I 27-04-2005 11:51 Pagina 11


12/52

12 Figures chapter 1

figure 1.54D1 page 26

figure 1.61R1 page 28

figure 1.1416 a page 10

see cut-out sheet 1

figure 1.1819 page 12

see cut-out sheet 1

33 page 17

see cut-out sheet 2

46 page 21

see cut-out sheet 2

E page 30

see cut-out sheet 3 and 4

PART I 27-04-2005 11:51 Pagina 12


13/52


figure 2.24 page 35

a

c d

e f

g

b


12 b page 38

= 1

PART I 27-04-2005 11:51 Pagina 13


14/52


figure 3.22abc page 73

P P

P

P

P

PP

PP

P

P

i

i

i

134

4

4

2

18

28

2425

20

2122

28

2726

84

14 12113

34

3837

39

41

128

133

65

35

40

36

42

43

44

45

146114

149

5

32

29

30

31

135

150

33

3

15

16

19

16

4614

13

154

11

152

10

987

Air IcelandDomestic

Air Terminal

Air TerminalInternational

Flights

ÍslandsflugDomestic

Air Terminal

HótelLoftleiðir

Nordic House

E i n a r s n e s

Þ o r r a g a t a

Þ j ó r s á r g .

F o s s a g .

S kerplug.

E g g e r t s g a t a

O d d

a g a t a

N j a r ð a

r g a t a

A r a

g a t a

S t u r t u g a t a S u ð u r g

a t a

S æ m u n d a r g

a t a

B r y n j ó l f s g a t a

Hagatorg

G u ð b r a n d s g .

B i r k

i m e l u r

E s p i m

e l u r

L j ó

s v a l

l a g a t a

V i ð i m

e l u r

B r á v a l l a g .

H r i n g b r a u t

Á s v a l l a g a t a

Á n a n a

u s t

S e l j a v e

g u r

F r a m n e

s v e g u r

H o l f s g

a t a B

r e k k u s

t .

B r æ ð r

a b o r g a

r s t í g

u r

S ó l v a l l a g a t a

H á v a l l a g a t a

T úngata

G r ó t i nT r y g g v g

Hafnarstræti

B e r g s t r

a ð a s t r

æ t i

L æ k j

a r g a t a B a n k a s t r .

S m i ð j u

s t .

L a u g a v e g u r

V a t n s

s t í g u r

K l a

p p a r s t í

g u r

L i n d a r g a t a

S ö l v h ó l s g .

S k ú l a g a t a

S æ b r a u t

I n g ó l f s

t r æ t i

I n g

ó l f s

g a

r ð u

r

F a x a g a r ð u r

Æ g i s

g a r ð u

r

K a l k o

f n s v

.

A m t m s t .B ó k h l ö ð .

Þ i n

g h o l t

s t r

æ t i

S k ó l a v ö r ð u

s t i g u r

F r í k i r k j u

v e g u r

L a u f á s v e

g u r

S k o t h ú s v e g u r

S ó l e y j a

r g a t a

F j ó

l u g

a t a

N j a r d ð

a r g a t a

U r d a s t .

N ö n n u g .

H e l l u s . Ó ð i n

s g a t a

Þ ó r s g a t a

F r e y j u

g a t a

B r a g a

g a t a

B a l d u

r s g a t a

S m á r a

g a t a

V a t n s m ý r a r v e g u r

F l u g

v a l l a b r

a u t

B a r ó n s s

t í g u r

M í m i s

v.

L o k a s t í g

u r G

r u n d a r s t í

g u r

B j a m a

s t.

K á r a s t

.

E i r í k

s g a t a

F j ö l n i s v e g u r

S j a

f n a r g

.

H r i n g b r a u t

B j a

r k a r g

.

Skálh.st.

M a r a r g .

Ö l d u g a t a

B á r u g a t a

R á n a r g a t a

V e s t u r g a t a

N ý l e n d u g a t a

M ý r a r g a t a

Æ g i s g a t

a

B l ó

m v a l l a

g .

H ó l a

v a l l a

g .

G a r ð

a s t r æ

t i A

ð a l s

t r æ t i

V o n a r s t r .

A u s t u r s t r æ t i

S u ð u r

g a t a T

j a r n a

r r g a t a

F u r u m

e l u r

H ö r

p u g

.

B a u g a n e s

B a u g a t.

4

3

2

1

4

3

2

1

DC

DC

PART I 27-04-2005 11:51 Pagina 14


15/52


figure 3.56b page 75

20

15

10

5

0

–5

–10

–15

25

Lisbon

Prague

Amsterdam

Moscow


PART I 27-04-2005 11:51 Pagina 15


16/52



figure 3.34E1 page 101

1 2 3 4 5 6 7 8 9 10

1

2

3

4

5

6

7

8

9

10

O 1

2

3

4

5

6

7

8

9

10

1

2

3

4

5

6

7

8

9

10

O

1

2

3

4

5

6

7

8

9

10

O

1

2

3

4

5

6

7

8

9

10

PART I 27-04-2005 11:51 Pagina 16


17/52


E2 page 102

1 2 3 4 5 6 7 8 9 10

1

2

3

4

5

6

7

8

9

10

O

E3 page 102

1 2 3 4 5 6 7 8 9 10

1

2

3

4

5

6

7

8

9

10

O 1

2

3

4

5

6

7

8

9

10

1

2

3

4

5

6

7

8

9

10

O

1

2

3

45

6

7

8

9

10

O

1

2

3

4

5

6

7

8

9

10

PART I 27-04-2005 11:51 Pagina 17


18/52


E4 page 102

x 1 2 3 4 5 6 7 8 9 10

1

2

3

4

5

6

7

8

9

10

O

y

1

2

3

4

5

6

7

8

9

10

O

1

2

3

4

5

6

7

8

9

10

PART I 27-04-2005 11:51 Pagina 18


19/52



–1

12

3

4

–2 –3O

1

2

3

4y

x

figure 3.38S1 page 104 figure 3.42S2 page 106


44 38

62

PART I 27-04-2005 11:51 Pagina 19


20/52


figure 3.46S6a page 107

figure 3.46S6b page 107


+

–

figure 3.45S5 page 110

figure 3.47S7 page 107

A B C D4

XD C B A

PART I 27-04-2005 11:51 Pagina 20


21/52



0 1 2 3 4 5 6 7 8 9 10 11 12

1

2

3

4

time in hours

height


0 2 4 6 8 10 12 14 16 18 20 22 24

1

2

3

4

time in hours

height


1 2 3 4 5 6 7 8

4

8

12

16

20

time in minutes

height in meters

PAULA'S HEIGHT ON THE FERRIS WHEEL

PART I 27-04-2005 11:51 Pagina 21


22/52



J a m e o

s d e l A g

u a

M i r a

d o r d

e l R i

o C o

s t a B l a n

c a F i r e

M o u n t a i n s E l

G o l f o

P l a y a B l

a n c a

A r r e c i f e

15

21 6

26 20

40 25

4855

15 38 30

33 8


TABLE OF RESULTS

class

1A

1B

1C

1D

1E

played won

44 page 134

E

D

C

A B

PART I 27-04-2005 11:51 Pagina 22


23/52


45 f page 135

Kampen

Zwolle

Amersfoort

Utrecht Arnhem

Deventer

Lelystad

45 i page 135

Kampen

Zwolle

Amersfoort

Utrecht Arnhem

Deventer

Lelystad


I

speed

timeII

speed

timeIII

speed

timeIV

speed

time

PART I 27-04-2005 11:51 Pagina 23


24/52



0 3 6 9 12 15 18 21 24

lowtide

hightide

hours

HIGH AND LOW TIDES


1 2 3 4 5 6 7 8 9 10 11 12

1

2

O

GRAPH A

1 3 4 5 7 8 0 11 12

1

O

3

GRAPH B

1 2 3 4 5 6 7 8 9 10 11 12

1

2

O

GRAPH C

1 2 3 4 5 6 7 8 9 10 11 12

1

2

O

GRAPH D

PART I 27-04-2005 11:51 Pagina 24


25/52

Figures chapter 4 en 5 25

figure 4.81E3d page 148

I

9 10 11 12

valleystation

mountainstation

time in hours

height

CABLE CARS IN THE ALPS


P

Q R

l


see cut-out sheet 5


a

b

c

d

f

e

h

g

PART I 27-04-2005 11:51 Pagina 25


26/52



m

P

Q

figure 5.1113 c page 156

k

l

m

n

14 page 157

see cut-out sheet 5 and 6


PART I 27-04-2005 11:51 Pagina 26


27/52



figure 5.2731 b page 166

D

C B

A


P Q

R

S

T

PART I 27-04-2005 11:51 Pagina 27


28/52





A

PART I 27-04-2005 11:52 Pagina 28


29/52


39 page 169


44 page 170

D E

F

C

B Scale 1 : 3 000

A

Dolphin

PART I 27-04-2005 11:52 Pagina 29


30/52



P

S

T

R

Q



B D

C

E


P Q

R

PART I 27-04-2005 11:52 Pagina 30


31/52


R10 page 184

0 25 50 75 100 km

Teuge Twente

Emmeloord

Hoogeveen

Eelde

Ameland

Texel

Schiphol Hilversum

Rotterdam

SeppeZeeland

Eindhoven

Z-Limburg

CARDIFF

BIRMINGHAM

LIVERPOOLM62

M56

M6

M11

M20M23

M2

A2

N13N12

E411

E3

M3

M4

M4

M5

M

M40

A55

A5

A17

A45

A35A36

A30

A12

A11

MANCHESTER

LEEDS

OXFORD

SOUTHAMPTON

LONDON

DOVER

HARWICH

NORWICH

OOSTENDE

HOEK VAN HOLLAND

AMSTE

ROTTER

ANTWERP

BRUGES

BRUXELL

CHARL

LILLE

CALAIS

AMIENS

DIEPPE

ROUEN

LE HAVRE

CHERBOURG

REST

PORTSMOUTHNEWHAVEN

PLYMOUTH

FISHGUARD

ROSSLARE

HOLYHEAD 50 100 150km

figure 5.78E5 page 188 figure 5.78E6 page 188

figure 5.79E7a page 188 figure 5.79E7b page 188

0 25 50 75 100 km

Teuge Twente

Emmeloord

Hoogeveen

Eelde

Ameland

Texel

Schiphol Hilversum

Rotterdam

SeppeZeeland

Eindhoven

Z-Limburg

CARDIFF

BIRMINGHAM

LIVERPOOLM62

M56

M6

M11

M20M23

M2

A2

N13N12

E411

E3

M3

M4

M4

M5

M

M40

A55

A5

A17

A45

A35A36

A30

A12

A11

MANCHESTER

LEEDS

OXFORD

SOUTHAMPTON

LONDON

DOVER

HARWICH

NORWICH

OOSTENDE

HOEK VAN HOLLAND

AMSTE

ROTTER

ANTWERP

BRUGES

BRUXELL

CHARL

LILLE

CALAIS

AMIENS

DIEPPE

ROUEN

LE HAVRE

CHERBOURG

REST

PORTSMOUTHNEWHAVEN

PLYMOUTH

FISHGUARD

ROSSLARE

HOLYHEAD 50 100 150km

PART I 27-04-2005 11:52 Pagina 31


32/52

32 Figures chapter 5 en IMA

figure 5.80E8 page 188 figure 5.81E9 page 189

figure IMA.7IMA 7b page 194 figure IMA.8IMA 7b page 194

Schoonhoven

Gouda

Gorkum

Dordrecht

Rotterdam


Badhoevedorp

AmsterdamZwanenburg

Amstelveen

Hoofddorp

Aalsmeer

90˚

180˚

360˚ 0˚

270˚ Z

w a n e n

b u r g b

a a n

Buitenveldertbaan

A a l s

m e e r b a a n

K a a g b

a a n

19 R

09

01 L

06

24

01 R

19 L

27

PART I 27-04-2005 11:52 Pagina 32


33/52

Figures IMA 33

IMA 9 page 196

PART I 27-04-2005 11:52 Pagina 33


34/52

34 Figures IMA

IMA 9 page 196

PART I 27-04-2005 11:52 Pagina 34


35/52

Figures IMA 35

IMA 9 page 196

PART I 27-04-2005 11:52 Pagina 35


36/52

36 Figures combined exercises

figure C.32d page 198

figure C.55 page 199

A

B

C

D

E

3 page 199

see next page

PART I 27-04-2005 11:52 Pagina 36


37/52

Figures combined exercises 37

3 page 199

S anto B o r g o

U f f i z i o

P . S . S a l . d . S S . L e o ne e

M a g na

V . P

V . d .

P e n i t e

n z

V . d .

V .

V . C a v

S . S

e p

.

r i s t o r i

V . S

e r -

s t i c

u c c

i

V . R

u -

S c o s s a

C a v a

l l i

O s p e d .

S p

S pir it o

V . d i P o r t a A n g e l

C on

V i a

V i t e l l e s c h i

V .G .

Al

V c . d .

V . d .

C a m p a n .

E r b a

F a r i n o n

e

P a l l i n e

O r f e o T r e P u p a z z i

B a s t . V .

V i t t o r i o

P io

V . V .

V c . d .

V . d .

V c . d . V .

d .

M a s c h e

r i

O

m b r e l l a r i

V . P l a u t o

Gr a zieV .d.

d . F

a l c

o

L V i a

V i a

C a n c e

V .

V . d i

d el l aV i a

3 4 -

2 3 - 3 4

2 3

64

3 4

L.d.Porta

Porta

Piazza

M u s e i

V a t i c a n

P.A.Capponi

L.d.Alicorni

P i o X I I

P .

S.Pietro

Basilicadi S.Pietro

Cavalleggeri

64

6 -

4 6 b

- 6 2

- 6 4

V . P a o

l o V

C o r r idori Borgo Sant V ia d el

Borgo

B or go

B o r g o A n g e l i c a

..P o r c a r

E

C

D

E

A

C

B

D

1

2 3

4 5

PART I 27-04-2005 11:52 Pagina 37


38/52





2 cm

3 cmA

F E

B

C

G H

D

6 cm

bucks...

does......part

hens...

cockerels

1

animals72

poultry...

quadrupeds...

chickens...

ducks...

horses

...

goats

8

cows...

rabbits...

part

...part

1

3

...part

...part

part1

2

...part

part1

12

part1

4

...part

...part

Flemish Giants

...

miniature rabbits

......part

part1

3

part1

2

PART I 27-04-2005 11:52 Pagina 38


39/52




PART I 27-04-2005 11:52 Pagina 39


40/52

40 Figures chapter 6 and 7

figure 6.1163 e page 26

30

20

10

40

hours

cm

LENGTH OF CANDLE

1 2 3 4 5 6 7 8 9O a

what are you what are you which unit

measuring measuring with are you using

volume measuring cup litres

time seconds

scales kilograms

length ruler

thermometer degrees Celsius

2 page 45


PART I 27-04-2005 11:52 Pagina 40


41/52

Figures chapter 7 and 8 41

56 page 62

amount B in Euros

10

9

8

11

25 50 75 100 125 t

O

type l × w × h volume

paintings 100 × 15 × 80 0.12 m3

standard 40 × 30 × 20 … m3

books 50 × … × 30 0.06 m3

sqare base … × … × 80 0.072 m3

cube … × … × … 0.125 m3

D1 page 66

Quantity what do you unit

measure with

speed speedometer

thermometer

cm

volume


PART I 27-04-2005 11:52 Pagina 41


42/52


77 page 104

1

2

3

0

8

12

20

34

41

Utrecht

Bunnik

Driebergen-Zeist

Maarn

Veenendaal-de Klomp

Ede-Wageningendistance to Utrecht in km

17.00 17.10 17.20 17.30 17.40 17.50 18.00time


see cut-out sheet 7

1

2

3

0

8

12

20

34

41

Utrecht

Bunnik

Driebergen-Zeist

Maarn

Veenendaal-de Klomp


17.00 17.10 17.20 17.30 17.40 17.50 18.00time


PART I 27-04-2005 11:52 Pagina 42


43/52



1

2

3

0

8

12

20

34

41

Utrecht

Bunnik

Driebergen-Zeist

Maarn

Veenendaal-de Klomp


17.00 17.10 17.20 17.30 17.40 17.50 18.00time

1

2

3

0

8

12

20

34

41

Utrecht

Bunnik

Driebergen-Zeist

Maarn

Veenendaal-de Klomp


17.00 17.10 17.20 17.30 17.40 17.50 18.00time


PART I 27-04-2005 11:52 Pagina 43


44/52


figure 9.6a4a page 127 figure 9.6b4b page 127


s

P

R Q


PART I 27-04-2005 11:52 Pagina 44


45/52



s

A B

D C

s

A

D

B

C


A

B

C

D

E

F

figure 9.2018abc page 133

PART I 27-04-2005 11:52 Pagina 45


46/52


figure 9.2625ab page 136

P

s

K

L

M

M


M

figure 9.2828 a page 137

PART I 27-04-2005 11:52 Pagina 46


47/52


figure 9.2929ab page 137


x

y

1

2

3

4

–1

O 1 2 3 4 –1

A

B

s

C


a b c

d e f

1 2 3 4 5 6 7

8 9 10 11 12

PART I 27-04-2005 11:52 Pagina 47


48/52



A

C B

P

AB

C




D

A

B

F

E

PART I 27-04-2005 11:52 Pagina 48


49/52

Figures chapter 9 and IMA 49


middle section

score

IMA 6 page 200

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

IMA 10 page 202

Peter Martin

X X X 20 X X

X X X 19 X X

X X X 18 | | | X X X

X X X | 17 X X X

X X X 16 | | | | X X X

X X X | 15 X XX X X | | 14 X X X

X X X 13 X X

X X X | 12 X X

X X 11 X X

X X 10 X X X

X Bull X X

PART I 27-04-2005 11:52 Pagina 49


50/52



f

a

r

pn o

q

l m

dcb

e g

h i

j k

1000 2000 3000 4000 5000 6000 7000 8000 9000

1000

2000

3000

4000

5000

6000

O

amount in Euros

l

7b page 207

4c page 205

annual account meter reading consumption price in cents quantity consumed fixed rate total amount

for end beginning in units per unit in Euros in Euros payable

electr. low 27,012 25,677 1335 8.73 116.55 48.65 …

electr. normal 26,197 24,323 … 13.75 … 66.15 …

PART I 27-04-2005 11:52 Pagina 50


51/52


figure C.1334abc page 214

A

B

C

D E

l

P

40 page 216

G F

C

54˚

E

D B A

figure C.1741 b page 217

name number of lines smallest angle point symmetry?of symmetry of rotation yes/no

a

b

c

d

e

f

g

h

total 13 750° 4 x yes

PART I 27-04-2005 11:52 Pagina 51


52/52

PART I 27-04-2005 11:52 Pagina 52

Documents

Numbers and Space 1hv werkboek.pdf