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11.1 Pythagoras
11.1 Pythagoras
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Middelbare school
havo
Leerjaar 3
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11.1 Pythagoras
Slide 1 - Diapositive
Rounding numbers
Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, but easier to use.
Form example:
73 -> 70
7,12 -> 7,1
Slide 2 - Diapositive
Rounding decimals
Decide which is the last digit to keep
Leave it the same if the next digit is less than 5 (this is called rounding down)
But increase it by 1 if the next digit is 5 or more (this is called rounding up)
Slide 3 - Diapositive
Slide 4 - Diapositive
Round to one decimal
6,684.
Slide 5 - Question ouverte
Slide 6 - Diapositive
A square is the result of multiplying a number by itself
Squaring is the same as raising to the power 2
the square of 3 may be written as , which is the number 9
= 3x3 = 9
3
2
3
2
Slide 7 - Diapositive
Calculate the square of 8
Slide 8 - Question ouverte
Square root
Slide 9 - Diapositive
Wat is het wortel van 64
A
4
B
6
C
8
D
32
Slide 10 - Quiz
round to 2 decimal places
7,814
Slide 11 - Question ouverte
What is the square of 12
Slide 12 - Question ouverte
What is the square root of 49
Slide 13 - Question ouverte
Slide 14 - Diapositive
Slide 15 - Diapositive
Slide 16 - Diapositive
Slide 17 - Vidéo
Calculating the Hypotenuse -> Side AC
Slide 18 - Diapositive
Stelling van Pythagoras
a
2
+
b
2
=
c
2
A
B
2
+
B
C
2
=
A
C
2
7
2
+
1
1
2
=
A
C
2
4
9
+
1
2
1
=
A
C
2
1
7
0
=
A
C
2
A
C
=
√
1
7
0
A
C
≈
1
3
,
0
4
Slide 19 - Diapositive
Calculate the length of BC
The catheti
Slide 20 - Diapositive
Bereken de lengte van BC
a
2
+
b
2
=
c
2
Slide 21 - Diapositive
Bereken de lengte van BC
a
2
+
b
2
=
c
2
A
B
2
+
B
C
2
=
A
C
2
Slide 22 - Diapositive
Bereken de lengte van BC
a
2
+
b
2
=
c
2
1
3
2
+
B
C
2
=
2
0
2
A
B
2
+
B
C
2
=
A
C
2
Slide 23 - Diapositive
Bereken de lengte van BC
a
2
+
b
2
=
c
2
1
3
2
+
B
C
2
=
2
0
2
1
6
9
+
B
C
2
=
4
0
0
A
B
2
+
B
C
2
=
A
C
2
Slide 24 - Diapositive
Bereken de lengte van BC
a
2
+
b
2
=
c
2
1
3
2
+
B
C
2
=
2
0
2
1
6
9
+
B
C
2
=
4
0
0
B
C
2
=
2
3
1
A
B
2
+
B
C
2
=
A
C
2
Slide 25 - Diapositive
Bereken de lengte van BC
a
2
+
b
2
=
c
2
1
3
2
+
B
C
2
=
2
0
2
1
6
9
+
B
C
2
=
4
0
0
B
C
2
=
2
3
1
A
B
2
+
B
C
2
=
A
C
2
B
C
=
√
2
3
1
Slide 26 - Diapositive
Bereken de lengte van BC
a
2
+
b
2
=
c
2
1
3
2
+
B
C
2
=
2
0
2
1
6
9
+
B
C
2
=
4
0
0
B
C
2
=
2
3
1
A
B
2
+
B
C
2
=
A
C
2
B
C
=
√
2
3
1
B
C
≈
1
5
.
2
0
Slide 27 - Diapositive
Bereken de lengte van BC
a
2
+
b
2
=
c
2
1
3
2
+
B
C
2
=
2
0
2
1
6
9
+
B
C
2
=
4
0
0
B
C
2
=
2
3
1
A
B
2
+
B
C
2
=
A
C
2
B
C
=
√
2
3
1
B
C
≈
1
5
.
2
0
Slide 28 - Diapositive
a
2
+
b
2
=
c
2
1
3
2
+
B
C
2
=
2
0
2
1
6
9
+
B
C
2
=
4
0
0
B
C
2
=
2
3
1
A
B
2
+
B
C
2
=
A
C
2
B
C
≈
1
5
.
2
0
1
3
2
+
B
C
2
=
2
0
2
1
6
9
+
B
C
2
=
4
0
0
B
C
2
=
2
3
1
B
C
≈
1
5
.
2
0
Slide 29 - Diapositive
Bereken zijde DE
Slide 30 - Question ouverte
Bereken zijde PQ
Slide 31 - Question ouverte
Slide 32 - Diapositive
Slide 33 - Diapositive
Slide 34 - Diapositive
Slide 35 - Diapositive
Slide 36 - Diapositive
Slide 37 - Diapositive
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Slide 38 - Diapositive
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