# Square roots & basics Pythagoras (t2steun)

Square roots
& basic Pythagoras

May 19th, 2021
extra math t2
lesson 3 of 8
13:30
Cameras ON
1 / 29
Slide 1: Slide
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This lesson contains 29 slides, with interactive quizzes and text slides.

Lesson duration is: 60 min

## Items in this lesson

Square roots
& basic Pythagoras

May 19th, 2021
extra math t2
lesson 3 of 8
13:30
Cameras ON

#### Slide 1 -Slide

Schedule
• Programme                                                      5 min
• Review: square roots                                  10 min
Quiz questions
• Square roots: brackets & powers         15 min
Practice
• Basic Pythagoras                                         30 min
Bingo!

#### Slide 2 -Slide

Programme
8 weeks:
- 5 ‘normal’ lessons
- 1 ‘practice test’ lesson
- 1 ‘review’ lesson
- 1 ‘retake’ lesson
(maybe in test week)
1. Square roots
2. Simplifying roots
3. More roots & Pythagoras
4. Applying Pythagoras I
5. Applying Pythagoras II

#### Slide 3 -Slide

Intended learning outcomes
Last lesson

At the end of the lesson you could...
• Square, add, multiply, and factorise square roots

#### Slide 4 -Slide

Review question 1:
Simplify.

3575
A
45
B
45
C
4
D
Cannot be simplified

#### Slide 5 -Quiz

Review question 2:
Simplify.

55+37
A
812
B
835
C
1512
D
Cannot be simplified

#### Slide 6 -Quiz

Review question 3:
Simplify.

3246
A
78
B
712
C
128
D
1212

#### Slide 7 -Quiz

Review question 4:
Factorize.

50
A
252
B
225
C
52
D
25

#### Slide 8 -Quiz

Review question 5:
Factorize and simplify.

50+18
A
82
B
342
C
68
D
Cannot be simplified

#### Slide 9 -Quiz

Intended Learning Outcomes
Today

At the end of the lesson you can...
• Work out brackets with square roots in them
• Work out square roots with powers

Single brackets
Letters
Square roots

Double brackets
Letters
Square roots

Simplify.
2(35+4)
A
65+4
B
65+42
C
310+4
D
310+42

#### Slide 13 -Quiz

Simplify. Write it down!
(3+2)(32)
A
1
B
1
C
34
D
32

#### Slide 14 -Quiz

Pythagoras

First some basics
Then some bingo

#### Slide 15 -Slide

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

#### Slide 16 -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 17 -Slide

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

#### Slide 18 -Slide

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

#### Slide 19 -Quiz

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

#### Slide 20 -Quiz

A bit more mathematical...

#### Slide 21 -Slide

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

#### Slide 22 -Slide

A bit more mathematical...

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

#### Slide 23 -Slide

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

#### Slide 25 -Slide

Bingo

• Make a 3x3 grid
• Fill in 9 numbers from 1 to 16
• Teams: take a picture and upload it here
• Class: have the teacher check it

#### Slide 26 -Slide

Bingo
Only horizontal or vertical
counts as a bingo!