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Solving by factorising jko
8 Solving by factorising TVWO 3
What you need:
- Textbook, writingbook, Tablet, Phone - Pen, pencil, Calculator
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Slide 1:
Slide
Wiskunde
Middelbare school
vwo
Leerjaar 2
This lesson contains
37 slides
, with
interactive quizzes
and
text slides
.
Lesson duration is:
35 min
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Items in this lesson
8 Solving by factorising TVWO 3
What you need:
- Textbook, writingbook, Tablet, Phone - Pen, pencil, Calculator
Slide 1 - Slide
Lesson goals
Solve equations with factorisation.
Factorize a difference of two squares.
Slide 2 - Slide
A x B = 0
In this case A = 0 or B = 0
A quadratic equation that is not written in the form A x B = 0, can be solved by factorising.
Slide 3 - Slide
Solve the following equations:
timer
6:00
Slide 4 - Slide
a
A
x=0 or x=-4
B
x=0 or x=4
C
x=0 or x=-2
D
x=0 or x=2
Slide 5 - Quiz
b
A
x=0 or x=-3
B
x=0 or x=3
C
x=0 or x=-1/3
D
x=0 or x=1/3
Slide 6 - Quiz
c
A
x=0 or x=-2.5
B
x=0 or x=2.5
C
x=0 or x=-5
D
x=0 or x=5
Slide 7 - Quiz
d
A
x=3 or x=6
B
x=3 or x=-6
C
x=-3 or x=-6
D
x=-3 or x=6
Slide 8 - Quiz
e
A
x=7 or x=2
B
x=-7 or x=2
C
x=7 or x=-2
D
x=-7 or x=-2
Slide 9 - Quiz
f
A
x=3 or x=5
B
x=-3 or x=5
C
x=3 or x=-5
D
x=-3 or x=-5
Slide 10 - Quiz
Slide 11 - Slide
timer
3:00
Slide 12 - Slide
a
A
y
=
x
2
−
2
1
B
y
=
x
2
−
1
0
x
−
2
1
C
y
=
x
2
+
1
0
x
−
2
1
D
y
=
x
2
+
4
x
−
2
1
Slide 13 - Quiz
b
A
y
=
x
2
−
9
B
y
=
x
2
+
9
C
y
=
x
2
−
6
x
+
9
D
y
=
x
2
−
3
x
+
9
Slide 14 - Quiz
c
A
y
=
x
2
−
1
4
x
−
4
9
B
y
=
x
2
+
4
9
+
1
4
x
C
y
=
x
2
+
4
9
x
+
4
9
D
y
=
1
4
x
2
+
x
+
4
9
Slide 15 - Quiz
d
A
y
=
x
2
−
2
5
B
y
=
x
2
+
2
5
C
y
=
x
2
−
5
0
x
−
2
5
D
y
=
x
2
+
5
0
x
+
2
5
Slide 16 - Quiz
e
A
y
=
x
2
+
4
B
y
=
x
2
−
4
C
y
=
x
2
−
8
x
−
4
D
y
=
x
2
+
8
x
+
4
Slide 17 - Quiz
f
A
y
=
x
2
−
2
x
−
1
B
y
=
x
2
+
1
C
y
=
x
2
D
y
=
x
2
−
1
Slide 18 - Quiz
Slide 19 - Slide
Factorizing a difference of squares
x
2
−
8
1
=
0
(
x
−
9
)
(
x
+
9
)
=
0
x
−
9
=
0
x
+
9
=
0
or
x
=
9
x
=
−
9
Slide 20 - Slide
Slide 21 - Slide
a
A
x=-10
B
x=0 or x=10
C
x=0 or x=-10
D
x=10 or x=-10
Slide 22 - Quiz
b
A
x=0 or x=-9
B
x=9 or x=9
C
x=9 or x=-9
D
x=9
Slide 23 - Quiz
c
A
x=0 or x=-1
B
x=-1
C
x=1
D
x=1 or x=-1
Slide 24 - Quiz
d
A
x=4 or x = -4
B
x=0 or x = -4
C
x=4
D
x = -4
Slide 25 - Quiz
Slide 26 - Slide
Try on your own
1, 2, 5 and 7
RULES:
In your writingbook
Use: Textbook
Extra excercise: in Teams
Challenge: zero flaws...
Homework: 64 utai 71
Slide 27 - Slide
Slide 28 - Slide
Write down the area of
segments I, II and III
The area of the tiled path is
34m
2.
Slide 29 - Slide
How wide is the tiled path
A
34 m
B
-17m
C
17m
D
2m
Slide 30 - Quiz
x
2
+
1
5
x
=
3
4
Slide 31 - Slide
x
2
+
1
5
x
=
3
4
x
2
+
1
5
x
−
3
4
=
0
Slide 32 - Slide
x
2
+
1
5
x
=
3
4
x
2
+
1
5
x
−
3
4
=
0
(
x
−
2
)
(
x
+
1
7
)
=
0
Slide 33 - Slide
x
2
+
1
5
x
=
3
4
x
2
+
1
5
x
−
3
4
=
0
(
x
−
2
)
(
x
+
1
7
)
=
0
x
−
2
=
0
o
r
x
+
1
7
=
0
Slide 34 - Slide
x
2
+
1
5
x
=
3
4
x
2
+
1
5
x
−
3
4
=
0
(
x
−
2
)
(
x
+
1
7
)
=
0
x
−
2
=
0
o
r
x
+
1
7
=
0
x
=
2
o
r
x
=
−
1
7
Slide 35 - Slide
so the answer is 2
x
2
+
1
5
x
=
3
4
x
2
+
1
5
x
−
3
4
=
0
(
x
−
2
)
(
x
+
1
7
)
=
0
x
−
2
=
0
o
r
x
+
1
7
=
0
x
=
2
o
r
x
=
−
1
7
Slide 36 - Slide
Lesson goals
Solve equations with factorisation.
Factorize a difference of two squares.
Slide 37 - Slide
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