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3TH / VWO §9.1/§9.4 Calculating with fractions
3T havo §9.1 Calculating with fractions
3T vwo §9.4 the same (almost)!
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Wiskunde
Middelbare school
havo
Leerjaar 3
This lesson contains
21 slides
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interactive quizzes
and
text slides
.
Lesson duration is:
50 min
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Items in this lesson
3T havo §9.1 Calculating with fractions
3T vwo §9.4 the same (almost)!
Slide 1 - Slide
A short recap:
When adding or subtracting fractions, the denominators (noemers) have to be the same. If they're not, let's make them the same! As follows:
5
3
+
7
6
=
3
5
2
1
+
3
5
3
0
=
3
5
5
1
Slide 2 - Slide
+ Now with variables too!
+ Many times we just multiply the denominators to find the new one.
+ Like here: 5 x 8 = 40
Slide 3 - Slide
+ another one comes up
+ watch: the 2nd fraction is not changed by us!
+ 5x is a fine denominator
Slide 4 - Slide
+ One more.
+ The final result has a sum as numerator.
+ That's because 4 and 3x are not like terms!
Slide 5 - Slide
Slide 6 - Slide
Task 1.
Take a scrap paper (or your Notebook) and work out:
Write as one fraction and key in your answer in the next slide:
Slide 7 - Slide
Answer to task 1:
Slide 8 - Mind map
Solution task 1:
Slide 9 - Slide
Now about Multiplying and Simplifying!
Do you remember that doing 'times' is much simpler than doing
'plus or minus', with fractions?
Reason: denominators may be unequal. Who cares?
x = =
6
5
8
3
4
8
1
5
1
6
5
Slide 10 - Slide
Now about Multiplying and Simplifying!
I remember something about making denominators equal. So here I go about the job:
x = x =
However now I am completely stranded..... So let's look once more at the right way to do it!
6
5
8
3
4
8
1
5
1
6
5
4
8
1
8
4
8
4
0
.
.
.
.
.
7
5
.
.
.
.
.
.
.
.
Slide 11 - Slide
Now about Multiplying and Simplifying!
Do you remember that doing 'times' is much simpler than doing
'plus or minus', with fractions?
Reason: denominators may be unequal. Who cares?
x = =
6
5
8
3
4
8
1
5
1
6
5
Slide 12 - Slide
When multiplying we just multiply numerators and
denominators. Period!
Slide 13 - Slide
Simplification is the reverse of multiplication.
Now we divide numerator and denominator by the same number!
Slide 14 - Slide
2 more examples of simplifications:
The book (where I took this from)
like to write the numbers as
products of letters and prime numbers
(priemgetallen). This may seem
unnecessary, but it makes clear
what is really happening when
simplifying!
Slide 15 - Slide
Task 2:
Simplify yourself now and key in your answer in the next slide:
Slide 16 - Slide
Answer task 2:
Slide 17 - Mind map
Solution task 2:
The 2nd step
you may leave out.
Slide 18 - Slide
Slide 19 - Slide
There's one more new thing in §9.1....
That's about splitting up a fraction
in 2 new ones.
In exercises 8, 9 and 10 (havo)
and 32, 33 (vwo)
you'll discover
this for yourself!
Slide 20 - Slide
Homework time
I ask you to stay on this Googlemeet a little longer.
In that way you can ask me anything that comes up,
when making: §9.1 Calculating with fractions, yourself.
Send in pics of your results in GoogleClassroom.
Good luck!
Slide 21 - Slide
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