1TH/Vwo §8.1 Calculating with numbers

§8.1 Calculating with numbers
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: Slide
WiskundeMiddelbare schoolhavo, vwoLeerjaar 1

This lesson contains 31 slides, with interactive quizzes and text slides.

Lesson duration is: 30 min

Items in this lesson

§8.1 Calculating with numbers
Some new words will come up!
It's important to know their meaning.
That's what this LessonUp is for.

Slide 1 -Slide

The new words:
brackets           product       quotient
sum             difference

Slide 2 -Slide

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

Slide 3 -Slide

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 4 -Slide

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 5 -Slide

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 6 -Slide

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 7 -Slide

Mention the most important 4 words from the previous slides.

Slide 8 -Mind map

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

Slide 9 -Quiz

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

Slide 10 -Slide

The Sum of 34 and 13 is .........
A
21
B
21
C
57
D
47

Slide 11 -Quiz

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

Slide 12 -Slide

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

Slide 13 -Open question

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

Slide 14 -Quiz

Who won the TATA steel chess tournament lately?

Slide 16 -Slide

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 -Slide

Brackets are the New Things!

Slide 19 -Slide

Amazing stuff, down here:

Slide 20 -Slide

Amazing stuff, down here:

So, thanks to the Brackets (=haakjes), the old Priority (=voorrang) is changed:
normally -but what is normal in Maths?- we'd do 2 x 5  first,
but because of those Brackets we first do:     8 + 2.

Slide 21 -Slide

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

Slide 22 -Quiz

Explanation:       (6 + 6) : 3 =
First work out the Brackets:
(6 + 6) : 3 = 12 : 3 =4              (Notice that the Brackets have gone now, as they have no meaning any more. This just between brackets. And between you and me.)
That's why the good answer is 4!
FINALLY:  Try to understand the meaning of the next slide!

Slide 24 -Slide

In the next slide the meaning is explained!

Slide 26 -Slide

Here is an example.
Watch how the Calculation is worked out step by step!
The next example is for you to work out and send in in a 'Fotovraag'!

Slide 27 -Slide

1. Work this task out on paper.
2. take a picture of this and
3. send it in in the next slide!
4. so show us your Calculation and
I expect everybody to do this Task now. Good luck!

Slide 28 -Slide

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

Solution:

Slide 30 -Slide

Homework time.
§8.1 :   4   t/m   10;   for number 9 don't forget to work out a Calculation! Just like the 2 examples showed you.
(So skip 1, 2 and 3.)
Send in the lot as usual in GC by pics from corrected Homework.