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11.1 Pythagoras

11.1 Pythagoras
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WiskundeMiddelbare schoolhavoLeerjaar 3

This lesson contains 38 slides, with interactive quizzes, text slides and 1 video.

Items in this lesson

11.1 Pythagoras

Slide 1 - Slide

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 - Slide

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 - Slide

Slide 4 - Slide

Round to one decimal
6,684.

Slide 5 - Open question

Slide 6 - Slide

  • 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 - Slide

Calculate the square of 8

Slide 8 - Open question

Square root

Slide 9 - Slide

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 - Open question

What is the square of 12

Slide 12 - Open question

What is the square root of 49

Slide 13 - Open question

Slide 14 - Slide

Slide 15 - Slide

Slide 16 - Slide

Slide 17 - Video

Calculating the Hypotenuse -> Side AC

Slide 18 - Slide

Stelling van Pythagoras
a​2​​+b​2​​=c​2​​
AB​2​​+BC​2​​=AC​2​​
7​2​​+11​2​​=AC​2​​
49+121=AC​2​​
170=AC​2​​
AC=√​170​​​
AC≈13,04

Slide 19 - Slide

Calculate the length of BC
The catheti

Slide 20 - Slide

Bereken de lengte van BC
a​2​​+b​2​​=c​2​​

Slide 21 - Slide

Bereken de lengte van BC
a​2​​+b​2​​=c​2​​
AB​2​​+BC​2​​=AC​2​​

Slide 22 - Slide

Bereken de lengte van BC
a​2​​+b​2​​=c​2​​
13​2​​+BC​2​​=20​2​​
AB​2​​+BC​2​​=AC​2​​

Slide 23 - Slide

Bereken de lengte van BC
a​2​​+b​2​​=c​2​​
13​2​​+BC​2​​=20​2​​
169+BC​2​​=400
AB​2​​+BC​2​​=AC​2​​

Slide 24 - Slide

Bereken de lengte van BC
a​2​​+b​2​​=c​2​​
13​2​​+BC​2​​=20​2​​
169+BC​2​​=400
BC​2​​=231
AB​2​​+BC​2​​=AC​2​​

Slide 25 - Slide

Bereken de lengte van BC
a​2​​+b​2​​=c​2​​
13​2​​+BC​2​​=20​2​​
169+BC​2​​=400
BC​2​​=231
AB​2​​+BC​2​​=AC​2​​
BC=√​231​​​

Slide 26 - Slide

Bereken de lengte van BC
a​2​​+b​2​​=c​2​​
13​2​​+BC​2​​=20​2​​
169+BC​2​​=400
BC​2​​=231
AB​2​​+BC​2​​=AC​2​​
BC=√​231​​​
BC≈15.20

Slide 27 - Slide

Bereken de lengte van BC
a​2​​+b​2​​=c​2​​
13​2​​+BC​2​​=20​2​​
169+BC​2​​=400
BC​2​​=231
AB​2​​+BC​2​​=AC​2​​
BC=√​231​​​
BC≈15.20

Slide 28 - Slide

a​2​​+b​2​​=c​2​​
13​2​​+BC​2​​=20​2​​
169+BC​2​​=400
BC​2​​=231
AB​2​​+BC​2​​=AC​2​​
BC≈15.20
13​2​​+BC​2​​=20​2​​
169+BC​2​​=400
BC​2​​=231
BC≈15.20

Slide 29 - Slide

Bereken zijde DE

Slide 30 - Open question

Bereken zijde PQ

Slide 31 - Open question

Slide 32 - Slide

Slide 33 - Slide

Slide 34 - Slide

Slide 35 - Slide

Slide 36 - Slide

Slide 37 - Slide

Assignments in bettermarks

Slide 38 - Slide

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