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Rekenen met wortels
Rekenen met wortels
Pak je Ipad en je aantekeningenschrift
1 / 31
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Slide 1:
Slide
Wiskunde
Middelbare school
vwo
Leerjaar 2
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Items in this lesson
Rekenen met wortels
Pak je Ipad en je aantekeningenschrift
Slide 1 - Slide
√
8
1
=
timer
0:10
Slide 2 - Open question
Vandaag
Start (5 min)
Uitleg (10 min)
Zelfstandig werken (20 min)
Uitleg (10 min)
Zelfstandig werken (20 min)
Afsluiting (5 min)
Slide 3 - Slide
Aantekening 7.4: Rekenen met wortels
kan niet korter
√
2
+
√
3
=
√
2
⋅
√
3
=
√
6
√
3
+
4
√
3
+
√
7
=
5
√
3
+
√
7
√
7
√
1
4
=
√
2
−
4
√
7
⋅
5
√
3
=
−
2
0
√
2
1
√
8
(
3
+
√
5
)
=
3
√
8
+
√
4
0
timer
3:30
Slide 4 - Slide
Aantekening: rekenen met wortels
kan niet korter
√
2
+
√
3
=
√
2
⋅
√
3
=
√
6
√
3
+
4
√
3
+
√
7
=
5
√
3
+
√
7
√
7
√
1
4
=
√
2
−
4
√
7
⋅
5
√
3
=
−
2
0
√
2
1
√
8
(
3
+
√
5
)
=
3
√
8
+
√
4
0
Slide 5 - Slide
2
√
3
⋅
4
√
7
=
A
8
√
2
1
B
6
√
1
0
C
8
√
1
0
D
kan niet korter
Slide 6 - Quiz
2
√
3
⋅
4
√
7
=
Slide 7 - Slide
√
3
√
1
2
=
A
2
B
3
C
√
4
D
√
9
Slide 8 - Quiz
√
3
√
1
2
=
Slide 9 - Slide
√
2
+
√
3
+
√
5
+
3
√
2
=
A
3
√
1
2
B
6
√
3
C
4
√
2
+
√
3
+
√
5
D
kan niet korter
Slide 10 - Quiz
√
2
+
√
3
+
√
5
+
3
√
2
=
Slide 11 - Slide
Checkpoint H7
Do 18 januari
Je mag
geen
rekenmachine gebruiken
Alle stof H7 (4 paragrafen)
Werkhoudingscijfer wordt weer aangepast adhv huiswerk
Slide 12 - Slide
Zelfstandig werken
Werk aan opgaven 7.4a
Overleg met je buurman/buurvrouw
Vragen of klaar? Steek je vinger op
timer
20:00
Slide 13 - Slide
Zelfstandig werken
Werk aan opgaven 7.4a en 7.4b
Overleg met je buurman/buurvrouw
Vragen of klaar? Steek je vinger op
timer
10:00
Slide 14 - Slide
Wortels vereenvoudigen
√
1
6
0
=
Slide 15 - Slide
Wortels vereenvoudigen
√
1
6
0
=
√
2
⋅
8
0
=
Slide 16 - Slide
Wortels vereenvoudigen
√
1
6
0
=
√
2
⋅
8
0
=
√
2
⋅
2
⋅
4
0
=
Slide 17 - Slide
Wortels vereenvoudigen
√
1
6
0
=
√
2
⋅
8
0
=
√
2
⋅
2
⋅
4
0
=
√
2
⋅
2
⋅
2
⋅
2
0
=
Slide 18 - Slide
Wortels vereenvoudigen
√
1
6
0
=
√
2
⋅
8
0
=
√
2
⋅
2
⋅
4
0
=
√
2
⋅
2
⋅
2
⋅
2
0
=
√
2
⋅
2
⋅
2
⋅
2
⋅
1
0
=
Slide 19 - Slide
Wortels vereenvoudigen
√
1
6
0
=
√
2
⋅
8
0
=
√
2
⋅
2
⋅
4
0
=
√
2
⋅
2
⋅
2
⋅
2
0
=
√
2
⋅
2
⋅
2
⋅
2
⋅
1
0
=
√
2
⋅
2
⋅
2
⋅
2
⋅
2
⋅
5
=
Slide 20 - Slide
Wortels vereenvoudigen
√
1
6
0
=
√
2
⋅
8
0
=
√
2
⋅
2
⋅
4
0
=
√
2
⋅
2
⋅
2
⋅
2
0
=
√
2
⋅
2
⋅
2
⋅
2
⋅
1
0
=
√
2
⋅
2
⋅
2
⋅
2
⋅
2
⋅
5
=
√
2
⋅
2
⋅
2
⋅
2
⋅
2
⋅
5
=
2
⋅
2
⋅
√
2
⋅
5
Slide 21 - Slide
Wortels vereenvoudigen
√
1
6
0
=
√
2
⋅
8
0
=
√
2
⋅
2
⋅
4
0
=
√
2
⋅
2
⋅
2
⋅
2
0
=
√
2
⋅
2
⋅
2
⋅
2
⋅
1
0
=
√
2
⋅
2
⋅
2
⋅
2
⋅
2
⋅
5
=
√
2
⋅
2
⋅
2
⋅
2
⋅
2
⋅
5
=
2
⋅
2
⋅
√
2
⋅
5
=
4
√
1
0
Slide 22 - Slide
Vereenvoudig de wortel
√
1
0
4
=
Slide 23 - Slide
Aantekening wortels vereenvoudigen
Wortel vereenvoudigen: priemgetallenontbinding
nu dubbele getallen er één keer uithalen:
√
1
4
0
=
√
2
⋅
7
0
=
√
2
⋅
2
⋅
3
5
=
√
2
⋅
2
⋅
5
⋅
7
=
2
√
5
⋅
7
=
2
√
3
5
Slide 24 - Slide
herleid, schrijf bijvoorbeeld 4 wortel 9
√
5
4
Slide 25 - Open question
√
5
4
Slide 26 - Slide
Zelfstandig werken
Werk aan opgaven 7.4a en 7.4b
Tot 14:40
Overleg met je buurman/buurvrouw
Vragen of klaar? Steek je vinger op
Slide 27 - Slide
8
f
3
g
8
⋅
4
g
6
h
2
=
A
1
2
f
3
g
1
4
h
2
B
1
2
f
3
g
4
8
h
2
C
3
2
f
3
g
1
4
h
2
D
kan niet korter
Slide 28 - Quiz
8
f
3
g
8
⋅
4
g
6
h
2
=
Slide 29 - Slide
(
3
x
+
4
)
(
x
−
2
)
=
A
3
x
2
−
1
0
x
−
8
B
3
x
2
−
2
x
−
8
C
3
x
2
+
2
x
−
8
D
3
x
2
+
4
x
−
8
Slide 30 - Quiz
(
3
x
+
4
)
(
x
−
2
)
=
Slide 31 - Slide
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