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Generating Equations jko
Goodmorning! Please enter this lesson by using the code in the left-hand corner.
Aim of this lesson:
Learn how to find the intersection points of a linear and a quadratic equation
Learn how to generate a formula.
The product of two consecutive even numbers is 288.
Which two numbers?
(try to solve this by making an equation) Remember your answer, don't put this in a chat.
1 / 28
volgende
Slide 1:
Tekstslide
Wiskunde
Middelbare school
vwo
Leerjaar 2
In deze les zitten
28 slides
, met
interactieve quizzen
en
tekstslides
.
Start les
Bewaar
Deel
Printen
Onderdelen in deze les
Goodmorning! Please enter this lesson by using the code in the left-hand corner.
Aim of this lesson:
Learn how to find the intersection points of a linear and a quadratic equation
Learn how to generate a formula.
The product of two consecutive even numbers is 288.
Which two numbers?
(try to solve this by making an equation) Remember your answer, don't put this in a chat.
Slide 1 - Tekstslide
Page 128
Ex. 68
Slide 2 - Tekstslide
How to work this out?
x
2
=
x
+
6
Slide 3 - Tekstslide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Slide 4 - Tekstslide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Factorising:
Number 1
Number 2
Sum
Product
Slide 5 - Tekstslide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Factorising:
Number 1
Number 2
Sum -1
Product
Slide 6 - Tekstslide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Factorising:
Number 1
Number 2
Sum -1
Product -6
-1
6
5
-6
Slide 7 - Tekstslide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Factorising:
Number 1
Number 2
Sum -1
Product -6
-1
6
5
-6
Slide 8 - Tekstslide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Factorising:
Number 1
Number 2
Sum -1
Product -6
-1
6
5
-6
-6
1
-5
-6
Slide 9 - Tekstslide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Factorising:
Number 1
Number 2
Sum -1
Product -6
-1
6
5
-6
-6
1
-5
-6
-2
3
1
-6
Slide 10 - Tekstslide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Factorising:
Number 1
Number 2
Sum -1
Product -6
-1
6
5
-6
-6
1
-5
-6
-2
3
1
-6
-3
2
-1
-6
Slide 11 - Tekstslide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Factorising:
Number 1
Number 2
Sum -1
Product -6
-1
6
5
-6
-6
1
-5
-6
-2
3
1
-6
-3
2
-1
-6
Slide 12 - Tekstslide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Factorising:
Number 1
Number 2
Sum -1
Product -6
-1
6
5
-6
-6
1
-5
-6
-2
3
1
-6
-3
2
-1
-6
(
x
−
3
)
(
x
+
2
)
=
0
Slide 13 - Tekstslide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Factorising:
Number 1
Number 2
Sum -1
Product -6
-1
6
5
-6
-6
1
-5
-6
-2
3
1
-6
-3
2
-1
-6
(
x
−
3
)
(
x
+
2
)
=
0
x
−
3
=
0
x
+
2
=
0
or
Slide 14 - Tekstslide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Factorising:
Number 1
Number 2
Sum -1
Product -6
-1
6
5
-6
-6
1
-5
-6
-2
3
1
-6
-3
2
-1
-6
(
x
−
3
)
(
x
+
2
)
=
0
x
−
3
=
0
x
+
2
=
0
or
x=3 or x= -2
Slide 15 - Tekstslide
Page 128
Ex. 68
x= -3 or x= 2
Slide 16 - Tekstslide
Page 128
Ex. 68
x= -3 or x= 2
You can substitute x in both formula's
Slide 17 - Tekstslide
Page 128
Ex. 68
x= -3 or x= 2
You can substitute x in both formula's
Slide 18 - Tekstslide
What are the coordinates of the intersection points?
Slide 19 - Open vraag
Page 131 ex. 75
Slide 20 - Tekstslide
Page 131 ex. 75
Can we generate a formula?
Slide 21 - Tekstslide
what is the Pythagorean theorem again?
A
a
=
b
+
c
B
a
+
b
=
c
C
a
2
+
b
2
+
c
2
=
0
D
a
2
+
b
2
=
c
2
Slide 22 - Quizvraag
You're allowed to use the Pythagorean theorem in :
A
an obtuse angle
B
a right angle
C
an reflex angle
D
an acute angle
Slide 23 - Quizvraag
Tekst
Obtuse angle
Right angle
Reflex angle
Acute angle
Slide 24 - Sleepvraag
Page 131 ex. 75
x
Via Mario = 14 km
So the distance From Mario -> Thomas = 14-x
x
2
+ (14-x)
2
= 10
2
x
2
+196-28x+x
2
=100
2x
2
-28x +96=0
Slide 25 - Tekstslide
Via Mario = 14 km
So the distance From Mario -> Thomas = 14-x
x
2
+ (14-x)
2
= 10
2
x
2
+196-28x+x
2
=100
2x
2
-28x +96=0
Factorise! But first divide by 2.
x
2
-14x+48=0
(x-6)(x-8)=0
x-6 = 0 or x-8 = 0
x=6 or x= 8
Slide 26 - Tekstslide
Back to the question of the first slide:
The product of two consecutive even numbers is 288. Which two numbers?
The product of two consecutive even numbers is 288.
Which two number?
(try to solve this by making an equation) Rember your answer don't put this in a chat
Slide 27 - Open vraag
Aim of this lesson:
Learn how to find the intersection points of a linear and a quadratic equation
Learn how to generate a formula.
Homework: All combined exercises. Hand them in in Teams before next tuesday. There is an assignment in Teams!
Slide 28 - Tekstslide
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