# 1TH/Vwo §7.1 Calculating with numbers

§7.1 Calculating with numbers
Homework:  4  t/m  10
Some new words will come up!
It's important to know their meaning.
That's what this LessonUp is for.
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Slide 1: Tekstslide
WiskundeMiddelbare schoolhavo, vwoLeerjaar 1

In deze les zitten 38 slides, met interactieve quizzen en tekstslides.

Lesduur is: 30 min

## Onderdelen in deze les

§7.1 Calculating with numbers
Homework:  4  t/m  10
Some new words will come up!
It's important to know their meaning.
That's what this LessonUp is for.

#### Slide 1 -Tekstslide

§7.1 Calculating with numbers
Homework:  3  t/m  8
learning goals:
- what is a sum, a difference, a product and a quotient ?
- how to do calculations IN THE RIGHT ORDER

#### Slide 2 -Tekstslide

The new words:
brackets           product       quotient
sum             difference

#### Slide 3 -Tekstslide

Try to take in the following information.
Later in this LessonUp there will be several questions about it!

#### Slide 4 -Tekstslide

Sum :
Adding up two (or more) numbers together,
gives us the Sum of the numbers.  Like  35 + 12 = 47
In fact 'the sum' is our 'de som'!
Indeed, awe-sum!

#### Slide 5 -Tekstslide

Difference:
When you subtract 2 numbers from each other,
the result is the Difference.
For example:          45 - 16 = 29,  so 29 is the Difference of 45 and 16.

#### Slide 6 -Tekstslide

Product:
Multiplying 2 (or more) numbers by each other,
gives us the Product of the numbers.
Like 23 x 3 = 69, so 69 is the Product of 23 and 3.

#### Slide 7 -Tekstslide

Quotient:
When you divide 2 numbers by each other, the result is called the Quotient of them.
For example:  14 : 7 = 2,  so the Quotient of 14 and 7 is 2.

#### Slide 8 -Tekstslide

timer
0:45
Mention the most important 4 words from the previous slides.

#### Slide 9 -Woordweb

The Product of 15 and 3 is ......
timer
0:15
A
18
B
5
C
45
D
12

#### Slide 10 -Quizvraag

The Product of 15 and 3 ....
means the Multiplication of 15 and 3, so:
15 x 3 = 45

#### Slide 11 -Tekstslide

The Sum of 34 and 13 is .........
timer
0:20
A
21
B
21
C
57
D
47

#### Slide 12 -Quizvraag

The Sum of 34 and 13 is ...
47, because the Sum means Adding!

#### Slide 13 -Tekstslide

The quotient of 27 and 9 is ........

#### Slide 14 -Open vraag

What has to do most with arithmetic?
timer
0:20
A
Sam
B
Some
C
Sum
D
Somme

#### Slide 16 -Tekstslide

Maybe you remember from your old school ..
that x  and  :  go before  +  and   -.
This is still true.
However, there can be exceptions...
See next slide!

Time for ....

#### Slide 18 -Tekstslide

Brackets are the New Things!

#### Slide 19 -Tekstslide

Brackets? There are several kind of brackets!
Next slide shows you brackets for arithmetics.

#### Slide 20 -Tekstslide

Amazing stuff, down here:

#### Slide 21 -Tekstslide

Amazing stuff, down here:

So, thanks to the Brackets (=haakjes), the old Priority (=voorrang) is changed.
In the first calculation we do   2 x 5   first,
but because of those Brackets we first do:     8 + 2.

#### Slide 22 -Tekstslide

What is the result of:
(6 + 6) : 3 ?
timer
0:30
A
3
B
4
C
9
D
-5

#### Slide 23 -Quizvraag

Explanation:       (6 + 6) : 3 =
First work out the Brackets:
(6 + 6) : 3 = 12 : 3 =4              (Notice that the Brackets have gone in the 2nd step, as they have no meaning any more.)
That's why the good answer is 4!
FINALLY:  Try to understand the meaning of the next slide!

#### Slide 25 -Tekstslide

In the next slide the meaning is explained!

#### Slide 28 -Tekstslide

A correct notation is important.
In the next slide, find the mistake!

#### Slide 29 -Tekstslide

5 + 5 x 3 = 15 = 5 + 15 = 20
The outcome is good, but the way of writing it all down contains a mistake.
Some of you get the turn.

#### Slide 30 -Tekstslide

5 + 5 x 3 = 15 = 5 + 15 = 20
The outcome is good, but the way of writing it all down contains a mistake.
The Mistake:    ' = 15 '
It suggests that 15 is equal to the final outcome, 20.
Why? Well, there are ' = ' signs between every step, so every step must be equal to any other step!

#### Slide 31 -Tekstslide

4 : 2 + 7 x 3 - 4 x 2 = .......
A
31
B
2 = 2 + 21 = 23 - 8 = 15
C
2 + 21 - 8 = 15
D
15

#### Slide 32 -Quizvraag

5 + 5 x 3 = 5 + 15 = 20
One more time the good answer, above.

#### Slide 33 -Tekstslide

Fotovraag:
2. take a picture of this and
3. send it in in the next slide!
4. so show us your Calculation and
5. NOTA = not only the Answer!

#### Slide 34 -Tekstslide

Calculate 7 + 3 x 4 : 6 - 5 = .........
timer
1:00

Solution:

#### Slide 36 -Tekstslide

Homework time, also see next slide!
HV1X :   make exercises 4 t/m 8,     plus S2 + S7

G1X:        make 4 t/m 8,                          plus C1 + C2