# Pythagoras (t2a)

Pythagoras

February 13th, 2023
t2a
8:30
1 / 27
Slide 1: Slide
WiskundeMiddelbare schoolvwoLeerjaar 1

This lesson contains 27 slides, with interactive quizzes and text slides.

Lesson duration is: 60 min

## Items in this lesson

Pythagoras

February 13th, 2023
t2a
8:30

#### Slide 1 -Slide

Schedule
• Programme                                                                 5 min
• Pythagoras                                                               20 min
Quiz questions
• Practice                                                                     25 min
• Gooseboard!                                                           25 min

Programme

#### Slide 3 -Slide

Today's
Intended Learning Outcomes

At the end of the lessons you can...
• Use and recognize Pythagoras's Theorem to:
Calculate the hypotenuse in right-angled triangles
Calculate distances in coordinate systems
Recognize Pythagoras in pictures or stories

timer
2:00
Pythagoras?

#### Slide 5 -Mind map

Right-angled triangles
A right-angled triangle always has two legs and one hypotenuse
The hypotenuse is always opposite the right angle

#### Slide 6 -Slide

Pythagoras's theorem
1. Take any right-angled triangle
2.
3.

#### Slide 7 -Slide

Pythagoras's theorem
1. Take any right-angled triangle
2. Stick a square to each side

#### Slide 8 -Slide

Pythagoras's theorem
1. Take any right-angled triangle
2. Stick a square to each side
3. The theorem:
Add up the areas of the squares
stuck to the legs...

#### Slide 9 -Slide

Pythagoras's theorem
1. Take any right-angled triangle
2. Stick a square to each side
3. The theorem:
Add up the areas of the squares
stuck to the legs...
...and the answer is the area of the
square stuck to the hypotenuse!

#### Slide 10 -Slide

Pythagoras's theorem
1. Take any right-angled triangle
2. Stick a square to each side
3. The theorem:
Add up the areas of the squares
stuck to the legs...
...and the answer is the area of the
square stuck to the hypotenuse!

#### Slide 11 -Slide

What is the area of the
green square?
A
6.5
B
42
C
52
D
102

#### Slide 12 -Quiz

How long is the side that the
green square is stuck to?
A
6.5
B
8.5
C
10.3
D
42.0

#### Slide 13 -Quiz

A bit more mathematical...

#### Slide 14 -Slide

A bit more mathematical...
AB2+AC2=BC2

#### Slide 15 -Slide

A bit more mathematical...

Let's say AB = 4 and AC = 6.
How do you calculate BC?
AB2+AC2=BC2

#### Slide 16 -Slide

AB = 3 and AC = 4.
Calculate BC.
A
BC=34
B
BC=7
C
BC=5
D
BC=1

Distances

Distances

#### Slide 20 -Slide

Calculate the distance between
C(2, 7) and D(4, 11).
Round to one decimal place.
Tip: make a sketch!
A
CD=6
B
CD=20
C
CD=2.4
D
CD=4.5

#### Slide 21 -Quiz

Try it yourself
Calculate the distance between
C(2, 7) and D(4, 11).
Round to one decimal place.
Tip: make a sketch!

#### Slide 22 -Slide

Calculate the distance between
C(2, 7) and D(4, 11).
Round to one decimal place.
Tip: make a sketch!
A
CD=6
B
CD=20
C
CD=2.4
D
CD=4.5

#### Slide 23 -Quiz

Practice
Chapter 5:
Basic route
5, 9, 10, 13, 14, 15, 18
5, 9, 11, 13, 14, 16, 18

Gooseboard!

#### Slide 25 -Slide

Which one do you prefer?
Practice with the basics
Practice with the coordinate systems