8-1 Solving by factorising

8-1 Solving by factorising

What you need: - Textbook, writingbook, iPad - Pen, pencil, geotriangle - Calculator


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WiskundeMiddelbare schoolhavoLeerjaar 3

This lesson contains 35 slides, with interactive quizzes and text slides.

time-iconLesson duration is: 50 min

Items in this lesson

8-1 Solving by factorising

What you need: - Textbook, writingbook, iPad - Pen, pencil, geotriangle - Calculator


Schoolbags in the cuboard
Phones in the phonebag
Bluetooth 
- ON
- VPN off

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 is not written in the form A x B = 0 can be solved by factorising.

Slide 3 - Slide

Solve the following equations:
timer
10:00

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
5:00

Slide 12 - Slide

5a
A
y=x221
B
y=x210x21
C
y=x2+10x21
D
y=x2+4x21

Slide 13 - Quiz

5b
A
y=x29
B
y=x2+9
C
y=x26x+9
D
y=x23x+9

Slide 14 - Quiz

5d
A
y=x225
B
y=x2+25
C
y=x250x25
D
y=x2+50x+25

Slide 15 - Quiz

5e
A
y=x2+4
B
y=x24
C
y=x28x4
D
y=x2+8x+4

Slide 16 - Quiz

Slide 17 - Slide

Factorizing a difference of squares
x281=0
(x9)(x+9)=0
x9=0
x+9=0
or
x=9
x=9

Slide 18 - Slide

Slide 19 - Slide

8a
A
x=-10
B
x=0 or x=10
C
x=0 or x=-10
D
x=10 or x=-10

Slide 20 - Quiz

8b
A
x=0 or x=-9
B
x=9 or x=9
C
x=9 or x=-9
D
x=9

Slide 21 - Quiz

8c
A
x=0 or x=-1
B
x=-1
C
x=1
D
x=1 or x=-1

Slide 22 - Quiz

8d
A
x=4 or x = -4
B
x=0 or x = -4
C
x=4
D
x = -4

Slide 23 - Quiz

Slide 24 - Slide

Try on your own
1, 2, 5 and 7
RULES:
  • In your writingbook
  • Use: Textbook
  • Discussion when you are stuck is allowed


Extra excercise: 4
Challenge: 6, 7
Homework: 3, 7, 9 (p. 38)

Slide 25 - Slide

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Slide 29 - Slide

If you forgot what cards are, look on page 37 of the textbook.

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Slide 35 - Slide