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1819 H2Y §11.1
Which exercises should we discuss on the board?
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Slide 1:
Mind map
Wiskunde
Middelbare school
havo
Leerjaar 2
This lesson contains
10 slides
, with
interactive quizzes
and
text slides
.
Lesson duration is:
50 min
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Items in this lesson
Which exercises should we discuss on the board?
Slide 1 - Mind map
Recap: terms and factors
In the formulas
y = 2x + 5 p = 7t - 1
2x and 5 & 7t and -1 & and are called
terms
terms
are the "parts" you add up.
In the formula
3, x and 3 are called
factors
factors
are the "parts" you multiply
c
=
1
0
h
−
2
h
2
1
0
h
−
2
h
2
y
=
3
⋅
x
⋅
2
Slide 2 - Slide
Recap: Sum and Product
The
sum
of 2 and 5 is 7. (2 + 5 = 7)
The
sum
means you add up the
terms
.
The
product
of 2 and 5 is 10. (2 x 5 = 10)
The
product
means you mulitply the
factors
.
Slide 3 - Slide
What is the product of 12 and 3?
A
4
B
9
C
15
D
36
Slide 4 - Quiz
Prime factorisation
Prime numbers
are numbers that can only be divided by 1 AND by itself and still have a whole number as a result.
2, 3, 5, 7, 11, 13, 17, ... are prime numbers, because they only have 1 and itself as divisors
12 is not a prime number, because it has 1, 2, 3, 4, 6 and 12 as divisiors.
Slide 5 - Slide
Prime factorisation
You can write a number as a product of as many prime factors as possible:
12 = 2 x 2 x 3
21 = 3 x 7
50 = 2 x 5 x 5
80 = 2 x 2 x 2 x 2 x 5
Slide 6 - Slide
Prime factorisation
How can you write a number as a product of prime factors?
Option 1:
Write the number as a product of two numbers
Write each of the the tow numbers as a procuct of two smaller numbers
Repeat untill you only have prime factors.
280 =
10
x
28
280 =
2 x 5
x
2 x
14
280 = 2 x 5 x 2 x
2 x 7
Slide 7 - Slide
Prime factorisation
How can you write a number as a product of prime factors?
Option 2:
Divide by the smallest prime number (2) as often as possible
Divide by the next prime number (3) as often as possible
Repeat for 5, 7, 11, etc
280 :
2
= 140 another : 2 won't work, : 3 won't work
140 :
2
= 70 35 :
5
=
7
(also a prime number)
70 :
2
= 35
280 = 2 x 2 x 2 x 5 x 7
Slide 8 - Slide
Factorising terms with variables
You can also factorise a term such as or
by writing the number as a product of prime factors and writing the variable part as a product of variables:
1
5
x
2
1
5
x
2
=
3
⋅
5
⋅
x
⋅
x
8
a
3
8
a
3
=
2
⋅
2
⋅
2
⋅
a
⋅
a
⋅
a
Slide 9 - Slide
HW Tuesday
Make and correct §11.1
Slide 10 - Slide
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