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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.
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Slide 1: Tekstslide
WiskundeMiddelbare schoolvwoLeerjaar 2

In deze les zitten 28 slides, met interactieve quizzen en tekstslides.

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?

x2=x+6

Slide 3 - Tekstslide

How to work this out?

x2=x+6
x2x6=0

Slide 4 - Tekstslide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum
Product

Slide 5 - Tekstslide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum   -1
Product

Slide 6 - Tekstslide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum   -1
Product         -6
-1
6
5
-6

Slide 7 - Tekstslide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum   -1
Product         -6
-1
6
5
-6

Slide 8 - Tekstslide

How to work this out?

x2=x+6
x2x6=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?

x2=x+6
x2x6=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?

x2=x+6
x2x6=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?

x2=x+6
x2x6=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?

x2=x+6
x2x6=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
(x3)(x+2)=0

Slide 13 - Tekstslide

How to work this out?

x2=x+6
x2x6=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
(x3)(x+2)=0
x3=0
x+2=0
or

Slide 14 - Tekstslide

How to work this out?

x2=x+6
x2x6=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
(x3)(x+2)=0
x3=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
a2+b2+c2=0
D
a2+b2=c2

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
  • x2 + (14-x)2 = 102
  • x2+196-28x+x2=100
  • 2x2 -28x +96=0

Slide 25 - Tekstslide

Via Mario = 14 km
So the distance From Mario -> Thomas = 14-x
x2 + (14-x)2 = 102
x2+196-28x+x2=100
2x2 -28x +96=0
  • Factorise! But first divide by 2.
  • x2 -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