# Chapter 4: Squares and square roots prior knowledge

Good morning!
Schedule:
• Chapter 4 learning goals
• Prior knowledge learning goals
• Squares
1 / 17
Slide 1: Slide
WiskundeMiddelbare schoolhavo, vwoLeerjaar 2

This lesson contains 17 slides, with interactive quizzes and text slides.

Lesson duration is: 40 min

## Items in this lesson

Good morning!
Schedule:
• Chapter 4 learning goals
• Prior knowledge learning goals
• Squares

timer
2:00
Squares and
square roots

#### Slide 2 -Mind map

Chapter 4: squares and square roots
At the end of the chapter I can:
- explain if the graph of a quadratic function is a smiley or a frowny parabola
- calculate with square roots
- simplify square roots
- work with square roots in functions
- write square roots as powers
- explain what rational and irrational numbers are

#### Slide 3 -Slide

Prior knowledge: squares
At the end of this lesson I can:
- calculate the square of any number
- name the order of operations including squares
- draw the graph of a quadratic function

#### Slide 4 -Slide

We say: "The square of 8 is 64"

=   "8 squared"
or
"8 to the power of 2"

82=88=64
We can calculate          without a calculator!!
82
Theory A: basic calculations with squares
1102
We know:

Now:                   12 100

And:                    1,21

112=121
1102=
1.12=
When you square a number with one zero at the end,
The answer gets 2 zeros at the end.
When the komma is moved one place
The komma in the square is moved 2 places

#### Slide 5 -Slide

Match the answers with the problems
72=
72=
(7)2=
timer
0:50
49
-49
49

202=
timer
0:40
A
4
B
4000
C
0,4
D
400

0.62=
timer
0:40
A
36
B
3,6
C
0,36
D
360

#### Slide 8 -Quiz

Theory B: Order of operations
1.

2.

3.

4.
timer
1:30
Calculate inside the brackets
Evaluate powers/squares
Multiply and divide from left to right
Add and substract from left to right

#### Slide 9 -Drag question

In a function you can replace x by any number!
For x = 6, we get

For x =    , we get
y=3x2+4
y=3(6)2+4=336+4
=108+4=104
43
y=3(43)2+4=3169+4
=1627+4=1627+14=1627+1664
=37

#### Slide 10 -Slide

How to draw the graph of a quadratic function:
I want to draw the graph of
1. Make a table

2. This gives us the points: (-2,2), (-1,-1), (0,-2), (1,-1), (2,2)

y=x22
x
-2
-1
0
1
2
y
2
-1
-2
-1
2

#### Slide 11 -Slide

3. We draw the points in a coordinate plane.
4. We draw a smooth curve through the points.

x
-2
-1
0
1
2
y
2
-1
-2
-1
2

#### Slide 12 -Slide

Consider the function
Calculate y for x = -5
y=2x2+3
timer
2:00

#### Slide 14 -Slide

Homework:
h2f                  p. 136-137: #2a-f, 4, 5a-f, 6, 7, 8a
This is homework for Monday 25-1-2021

#### Slide 15 -Slide

Prior knowledge: squares
At the end of this lesson I can:
- calculate the square of any number
- name the order of operations including squares
- calculate y for quadratic functions
- draw the graph of a quadratic function

#### Slide 16 -Slide

How many learning goals did you achieve today?
1
2
3
4