3.7 Berekeningen in de ruimte

Planning
Bespreken theorie I
Uitleg theorie J
Opdrachten maken
Examenopdracht
Pauze
Uitleg theorie H
Opdrachten maken
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Slide 1: Slide
WiskundeMiddelbare schoolvmbo g, t, mavoLeerjaar 4

This lesson contains 56 slides, with text slides and 2 videos.

time-iconLesson duration is: 50 min

Items in this lesson

Planning
Bespreken theorie I
Uitleg theorie J
Opdrachten maken
Examenopdracht
Pauze
Uitleg theorie H
Opdrachten maken

Slide 1 - Slide

This item has no instructions

Telefoon in eigen tas.
Zie ik hem - dan in de telefoontas.
Ik geef aan wanneer muziek mag tijdens het werken. Telefoon meteen weer weg. 
Welkom   wiskunde!
Wat gaan we doen?
● Lesdoel bespreken
● Theorie: 3.7
● Zelfstandig werken
● Huiswerk en afsluiting
bij
We gaan zo starten.
Leg je
wiskunde-
spullen 
op tafel.

Slide 2 - Slide

De video is te starten bij de binnenkomst
Lesdoel
Je weet wat een lichaamsdiagonaal is.

Je kan goniometrie toepassen in een ruimtefiguur.

Je kan de verlengde stelling van Pythagoras
 toepassen in een ruimtefiguur.

Je kan de afstand in een ruimtefiguur
 over drie ribben berekenen.




H3: Afstanden en hoeken
VK Hoeken en Goniometrie
2. Coördinaten i.d. ruimte
3. Zijden berekenen in een
     driehoek
4. Hellingspercentage
5. Goniometrie en hoeken
6. Hoeken in vlakke figuren
7. Berekeningen i.d. ruimte

Slide 3 - Slide

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Theorie I bespreken

Slide 4 - Slide

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Slide 5 - Slide

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Slide 6 - Slide

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Slide 8 - Slide

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Theorie J

Slide 9 - Slide

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3.7: Berekeningen in de ruimte

Slide 10 - Slide

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3.7: Berekeningen in de ruimte
Lichaamsdiagonaal

Slide 11 - Slide

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Slide 12 - Slide

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Slide 13 - Slide

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Slide 14 - Slide

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rhz2 = AB2 = 62 = 26
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm

Slide 15 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 26
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm

Slide 16 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 26
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm

Slide 17 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 36
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm

Slide 18 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 36
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm

Slide 19 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 36
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm
AG=

Slide 20 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 36
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm
AG=

Slide 21 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 36
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm
AG=

Slide 22 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 36
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm
AG=

Slide 23 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 36
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm
AG=

Slide 24 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 36
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm
AG=

Slide 25 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 36
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm
AG=

Slide 26 - Slide

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Slide 27 - Slide

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Slide 28 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 26
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm
AG=

Slide 29 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 26
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm
AG=
S=SO

Slide 30 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 26
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm
AG=
S=SO
sinCAG=AGCG

Slide 31 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 26
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm
AG=
S=SO
sinCAG=AGCG
sinCAG=8,84

Slide 32 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 26
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm
AG=
S=SO
sinCAG=AGCG
sinCAG=8,84
CAG=sin1(8,84)

Slide 33 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 26
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm
AG=
S=SO
sinCAG=AGCG
sinCAG=8,84
CAG=27,035...
CAG=sin1(8,84)

Slide 34 - Slide

This item has no instructions

rhz2 = AB2 = 62 = 26
rhz2 = BC2 = 52 = 25
rhz2 = CG2 = 42 = 16
  sz2 = AG2 = ...    = 77
_______________ +
sz=rhz2+rhz2+rhz2
AG=AB2+BC2+CG2
=  62  +   52 +   42
=8,774...
AG8,8 cm
AG=
S=SO
sinCAG=AGCG
sinCAG=8,84
CAG=27,035...
CAG=sin1(8,84)
Dus CAG27o

Slide 35 - Slide

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Testopgave
Hoe pak je dit aan?

Slide 36 - Slide

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Opdrachten maken
75 t/m 77, 79 en 80
timer
5:00
timer
10:00

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Examenopdracht 
Hangmat (bladzijde 162)
OPDRACHT 92 + 93
timer
10:00

Slide 38 - Slide

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PAUZE

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Theorie K

Slide 40 - Slide

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Slide 42 - Slide

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rhz2 = NA2 =   32  = 9
rhz2 = AD2 = 2,52 = 6,25
rhz2 = DM2 = 1,52 = 2,25
  sz2 = NM2 = ....    = 17,5
_________________+
sz=rhz2+rhz2+rhz2
NM=NA2+AD2+DM2
=  32 +  2,52 +  1,52
=4,183...

Slide 43 - Slide

This item has no instructions

rhz2 = NA2 =   32  = 9
rhz2 = AD2 = 2,52 = 6,25
rhz2 = DM2 = 1,52 = 2,25
  sz2 = NM2 = ....    = 17,5
_________________+
sz=rhz2+rhz2+rhz2
NM=NA2+AD2+DM2
=  32 +  2,52 +  1,52
=4,183...

Slide 44 - Slide

This item has no instructions

rhz2 = NA2 =   32  = 9
rhz2 = AD2 = 2,52 = 6,25
rhz2 = DM2 = 1,52 = 2,25
  sz2 = NM2 = ....    = 17,5
_________________+
sz=rhz2+rhz2+rhz2
NM=NA2+AD2+DM2
=  32 +  2,52 +  1,52
=4,183...

Slide 45 - Slide

This item has no instructions

rhz2 = NA2 =   32  = 9
rhz2 = AD2 = 2,52 = 6,25
rhz2 = DM2 = 1,52 = 2,25
  sz2 = NM2 = ....    = 17,5
_________________+
sz=rhz2+rhz2+rhz2
NM=NA2+AD2+DM2
=  32 +  2,52 +  1,52
=4,183...

Slide 46 - Slide

This item has no instructions

rhz2 = NA2 =   32  = 9
rhz2 = AD2 = 2,52 = 6,25
rhz2 = DM2 = 1,52 = 2,25
  sz2 = NM2 = ....    = 17,5
_________________+
sz=rhz2+rhz2+rhz2
NM=NA2+AD2+DM2
=  32 +  2,52 +  1,52
=4,183...

Slide 47 - Slide

This item has no instructions

rhz2 = NA2 =   32  = 9
rhz2 = AD2 = 2,52 = 6,25
rhz2 = DM2 = 1,52 = 2,25
  sz2 = NM2 = ....    = 17,5
_________________+
sz=rhz2+rhz2+rhz2
NM=NA2+AD2+DM2
=  32 +  2,52 +  1,52
=4,183...
NM=

Slide 48 - Slide

This item has no instructions

rhz2 = NA2 =   32  = 9
rhz2 = AD2 = 2,52 = 6,25
rhz2 = DM2 = 1,52 = 2,25
  sz2 = NM2 = ....    = 17,5
_________________+
sz=rhz2+rhz2+rhz2
NM=NA2+AD2+DM2
=  32 +  2,52 +  1,52
=4,183...
NM=

Slide 49 - Slide

This item has no instructions

rhz2 = NA2 =   32  = 9
rhz2 = AD2 = 2,52 = 6,25
rhz2 = DM2 = 1,52 = 2,25
  sz2 = NM2 = ....    = 17,5
_________________+
sz=rhz2+rhz2+rhz2
NM=NA2+AD2+DM2
=  32 +  2,52 +  1,52
=4,183...
NM=

Slide 50 - Slide

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Opdrachten maken
84 t/m 87

Ben je klaar?
Examenopdracht 89 + 90

Slide 51 - Slide

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Leerdoelen
1: Je weet wat een lichaamsdiagonaal is.

2: Je kan goniometrie toepassen in een ruimtefiguur.
3: Je kan de verlengde stelling van Pythagoras toepassen in een ruimtefiguur.
4: Je kan de afstand in een ruimtefiguur over drie ribben berekenen.


Slide 52 - Slide

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Vrijdag
Examen maken
Wat neem je mee?
Rekenmachine, geodriehoek, pen en potlood.

Tas + telefoon voorin het lokaal.
We stoppen 5 minuten voor het einde van de les.

Slide 53 - Slide

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Hierna volgen enkele filmpjes die je kunnen helpen met het behalen van de leerdoelen.
Hierna volgen enkele filmpjes die je kunnen helpen met het behalen van de leerdoelen.
Hierna volgen enkele filmpjes die je kunnen helpen met het behalen van de leerdoelen.

Slide 54 - Slide

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Slide 55 - Video

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Slide 56 - Video

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