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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
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Slide 1:
Slide
Wiskunde
Middelbare school
vwo
Leerjaar 2
This lesson contains
28 slides
, with
interactive quizzes
and
text slides
.
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Items in this lesson
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 - Slide
Page 128
Ex. 68
Slide 2 - Slide
How to work this out?
x
2
=
x
+
6
Slide 3 - Slide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Slide 4 - Slide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Factorising:
Number 1
Number 2
Sum
Product
Slide 5 - Slide
How to work this out?
x
2
=
x
+
6
x
2
−
x
−
6
=
0
Factorising:
Number 1
Number 2
Sum -1
Product
Slide 6 - Slide
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 - Slide
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 - Slide
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 - Slide
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 - Slide
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 - Slide
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 - Slide
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 - Slide
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 - Slide
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 - Slide
Page 128
Ex. 68
x= -3 or x= 2
Slide 16 - Slide
Page 128
Ex. 68
x= -3 or x= 2
You can substitute x in both formula's
Slide 17 - Slide
Page 128
Ex. 68
x= -3 or x= 2
You can substitute x in both formula's
Slide 18 - Slide
What are the coordinates of the intersection points?
Slide 19 - Open question
Page 131 ex. 75
Slide 20 - Slide
Page 131 ex. 75
Can we generate a formula?
Slide 21 - Slide
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 - Quiz
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 - Quiz
Tekst
Obtuse angle
Right angle
Reflex angle
Acute angle
Slide 24 - Drag question
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 - Slide
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 - Slide
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 question
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 - Slide
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