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
volgende
Slide 1: Tekstslide
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In deze les zitten 29 slides, met interactieve quizzen en tekstslides.

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Square roots
& basic Pythagoras



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

Slide 1 - Tekstslide

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 - Tekstslide

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 - Tekstslide

Intended learning outcomes
Last lesson

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

Slide 4 - Tekstslide

Review question 1:
Simplify.

3575
A
45
B
45
C
4
D
Cannot be simplified

Slide 5 - Quizvraag

Review question 2:
Simplify.


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

Slide 6 - Quizvraag

Review question 3:
Simplify.

3246
A
78
B
712
C
128
D
1212

Slide 7 - Quizvraag

Review question 4:
Factorize.

50
A
252
B
225
C
52
D
25

Slide 8 - Quizvraag

Review question 5:
Factorize and simplify.

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

Slide 9 - Quizvraag

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

Slide 10 - Tekstslide

Single brackets
Letters
Square roots

Slide 11 - Tekstslide

Double brackets
Letters
Square roots

Slide 12 - Tekstslide

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

Slide 13 - Quizvraag

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

Slide 14 - Quizvraag

Pythagoras

First some basics
Then some bingo

Slide 15 - Tekstslide

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

Slide 16 - Tekstslide

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 - Tekstslide

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 - Tekstslide

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

Slide 19 - Quizvraag

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 - Quizvraag

A bit more mathematical...

Slide 21 - Tekstslide

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

Slide 22 - Tekstslide

A bit more mathematical...




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

Slide 23 - Tekstslide

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

Slide 24 - Quizvraag

Slide 25 - Tekstslide

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 - Tekstslide

Bingo
Only horizontal or vertical
counts as a bingo!

Slide 27 - Tekstslide

Take a picture of your filled-in grid and upload it here.
b.43+6753
b.43+6753

Slide 28 - Open vraag

Bingo questions

PowerPoint

Slide 29 - Tekstslide