Lineare Funktionen
Allgemeine Lineare Funktionen
Let's go!
Introduction
f(x) = m ・x + n
Allgemeine Lineare Funktionen.
In diesem Kapitel geht es um Bisher haben wir uns nur Lineare Funktionen angeschaut, die durch den Urpsrung gehen, sogenannte proportionale Lineare Funktionen, bei denen der y-Achsenabschnitt Null ist Dies ändert sich jetzt.
- y-Achsenabschnitt erkunden
- Funktionsgleichung bestimmen
- Wertetabellen ausfüllen und fehlende Punkte berechnen
Start Course
Index
Einstieg
Modules
Activities
Evaluation
Certificate
Survey
Einstieg
Der y-Achsenabschnitt
Bestimme, wie viel Valentin für 3 und 4 Stunden zahlen muss.
Valentin und Elina sind in der 7. Klasse und gehen nach der Schule zusammen in die Eishalle. Valentin hat eigene Schlittschuhe. Elina muss sich Schlittschuhe ausleihen.
Bestimme, wie viel Elena für 3 und 4 Stunden zahlen muss. Denke daran, dass Elena eine Ausleihgebühr von 3€ bezahlen muss.
+ info
Erarbeitung 1
Erarbeitung
Bestimme die Zuordnungsvorschrift für den Füllvorgang des Wasserbehälters.
Gib eine Zuordnungsvorschrift an, wenn zu Beginn bereits Wasser im Behälter ist.
Erarbeitung 2
Erkunde den Graphen
Frage 2
Frage 1
2) Wie ändert sich das Steigungsdreieck, wenn du den y-Achsenabschnitt veränderst ?
Stelle den y-Achsenabschnitt so ein, dass der Schnittpunkt mit der y-Achse bei (0|-3) liegt. Betrachte die Funktionsgleichung. Was fällt dir auf ?
Schalte alle Haken ein. Betätige den Schieberegler. Die Steigung kann unterschiedlich eingestellt sein. Lass sie aber erst einmal fest eingestellt. Verändere nur den Schieberegler oben. Was verändert sich ?
Mila behauptet, dass man auch ohne Graph nur mit der Funktionsgleichung den y-Achsenabschnitt ablesen kann. Erkläre, was sie damit meint.
Regeln
Steigung
Die Steigung m
Der y-Achsenabschnitt n
f(x) = m・x +n
Ist der Wert, um den die y-Werte gleichmäßig zunehmen.
ist der Punkt, wo der Graph die y-Achse schneidet
y-Achsenabschnitt
Beispiel 1
Gemeinsames Üben
Wie viel zahlt die Familie, wenn sie 14 Tage bleibt ?
Familie Richter mietet im Urlaub ein Ferienhaus. Der Mietpreis beträgt 80 € pro Tag. Hinzu kommt eine einmalige Reinigungspauschale von 65€. Gib die Zuordnungsvorschrift an.
Anzahl der Tage → Gesamtpreis in €
+ info
'Mit einer Funktionsgleichung können wir für jedes beliebige x einen zugehörigen y-Wert berechnen - Das ist der Vorteil einer Formel gegenüber einer Wertetabelle oder einer anderen Darstellungsform von Funktionen. -Frau Baumeister
Beispiel 2
Skizzieren
Skizziere den Graphen der Funktion:
Hier ist der y-Achsenabschnitt
Steigungsdreieck: 1 nach oben und 2 nach rechts
+ info
Module 1
Need more reasons to create dynamic content? Well: 90% of the information we assimilate comes to us through sight, and we retain 42% more information when the content moves. What you read: Interactivity and animation can make the most boring content turn into something fun. At Genially, we use AI (Awesome Interactivity) in all our designs, so you can level up with interactivity and turn your content into something that adds value and engages. When carrying out a presentation, you should pursue two objectives: conveying information and avoiding yawns. To do this, it can be a good practice to create a schema and use words that are etched into your audience's brain.
Write a great headline
With Genially's templates, you can include visual resources to leave your audience amazed. You can also highlight a specific phrase or fact that stays etched in the memory of your audience and even embed external content that surprises: videos, photos, audios... Whatever you want!
Module 1
3. Beings social
1. Visual beings
We need to interact with each other. We learn collaboratively.
We are able to understand images from millions of years ago, even from other cultures.
4. Beings digital
2. Narrative beings
We tell thousands and thousands of stories. ⅔ of our conversations are stories.
We avoid being part of the content saturation in the digital world.
Module 1
Conclusions
Describe the problem you are going to solve, and above all, the reason why your idea is interesting.
Narrative beings
We are visual beings
We tell thousands and thousands of stories. ⅔ of our conversations are stories.
We are able to understand images from millions of years ago, even from other cultures.
Beings digital
Social beings
We avoid being part of the content saturation in the digital world.
We need to interact with each other. We learn collaboratively.
Module 2
Summary
If you want to provide additional information or develop the content in more detail, you can do so through your oral presentation. We recommend that you train your voice and rehearse: the best improvisation is always the most worked!
Showing enthusiasm, sketching a smile, and maintaining eye contact with your audience can be your best allies when it comes to telling stories that excite and arouse the interest of the public: 'The eyes, kid. They never lie'. This will help you 'match' with your audience. Leave them open-mouthed!
+ info
'Including quotes always reinforces our presentation. It breaks the monotony' -Always quote the author
Module 2
Here you can put a standout title, something that captivates your audience
With Genially templates, you can include visual resources to leave your audience amazed. You can also highlight a specific phrase or data that will be etched in the memory of your audience and even embed external content that surprises: videos, photos, audios... Whatever you want! What you're reading: interactivity and animation can make the most boring content become something fun. At Genially, we use AI (Awesome Interactivity) in all our designs, so you can level up with interactivity and turn your content into something that adds value and captivates.
Module 2
Use videos!
And use this space to describe it. Multimedia content is essential in a presentation, to leave everyone speechless. Also, this way you will synthesize the content and entertain your audience.
+ info
Module 2
+85k
+45k
+190
This is how you will maintain the attention of your audience
...Even if you later explain it orally
You can represent numbers in this way
+ info
+ info
+ info
Show enthusiasm, sketch a smile and maintain eye contact with your audience: 'The eyes, chico. They never lie'.
If you are going to present live, we recommend that you train your voice and rehearse: the best improvisation is always the most worked!
You can make an outline to synthesize the content and use words that are burned into the brains of your audience.
Module 2
Conclusions
Describe the problem you are going to solve and, above all, the reason why your idea is interesting.
Narrative
We are visual beings
We tell thousands and thousands of stories. ⅔ of our conversations are stories.
We are able to understand images from millions of years ago, even from other cultures.
Beings digital
Social
We avoid being part of the content saturation in the digital world.
We need to interact with each other. We learn collaboratively.
Module 3
Summary
If you want to provide additional information or develop the content in more detail, you can do so through your oral presentation. We recommend that you train your voice and rehearse: the best improvisation is always the most worked!
Showing enthusiasm, sketching a smile, and maintaining eye contact with your audience can be your best allies when it comes to telling stories that excite and arouse the interest of the public: 'The eyes, kid. They never lie'. This will help you 'match' with your audience. Leave them open-mouthed!
+ info
'Including quotes always reinforces our presentation. It breaks the monotony' -Always quote the author
Module 3
With Genially templates, you can include visual resources to leave your audience speechless. Also, highlight a specific phrase or data that will be etched in the memory of your audience and even embed external content that surprises: videos, photos, audios... Whatever you want! What you read: interactivity and animation can make the most boring content become something fun. At Genially, we use AI (Awesome Interactivity) in all our designs, so that you level up with interactivity and turn your content into something that adds value and engages.
Use an image
And use this space to describe it. You can upload an image from your computer or use the resources available in Genially, on the left side of the tool. Leave everyone speechless!
+ info
Module 3
Include infographics in your creations
20XX
20XX
20XX
Surprise
Plan
Design
20XX
20XX
Structure
Communicate
Module 3
With Genially templates, you can include visual resources to leave your audience speechless. You can also highlight a specific phrase or data that will be etched into your audience's memory and even embed external content that surprises: videos, photos, audios... Whatever you want! Showing enthusiasm, drawing a smile, and maintaining eye contact with your audience can be your best allies when it comes to telling stories that excite and arouse the audience's interest: 'The eyes, chico. They never lie'. This will help you 'match' with your audience. Leave them speechless! Pose a dramatic question; it is the essential ingredient to maintain the audience's attention. It is usually posed subliminally at the beginning of the story to intrigue the audience and is resolved at the end.
Animate your content and take it to the next level
Did you know that Genially allows you to share your creation directly, without the need for downloads? Ready for your audience to visualize it on any device and give it exposure anywhere.
Module 3
Conclusions
Describe the problem you are going to solve and, above all, the reason why your idea is interesting
Narrative
We are visual beings
We tell thousands and thousands of stories. ⅔ of our conversations are stories.
We are able to understand images from millions of years ago, even from other cultures.
Beings digital
Social
We avoid being part of the content saturation in the digital world.
We need to interact with each other. We learn collaboratively.
Activities
Activity 2
Activity 1
Make the boring content in your presentation fun
Describe the problem you are going to solve and, above all, the reason why your idea is interesting
Activity 1
Click only on the correct concepts
Genially Functions
Genially Categories
Drag
Games
Record video
Books
Gradients
Quiz
3D
E-commerce
Animation
Illustrations
Die
Video
Translate
Expand
Blogs
Infographics
Check
Check
Activity 2
00:10
Click on 4 technological devices before 10 seconds
We are able to understand images from millions of years ago, even from other cultures.
We tell thousands and thousands of stories. ⅔ of our conversations are stories.
We need to interact with each other. We learn collaboratively.
We avoid being part of the content saturation in the digital world.
Evaluation
Evaluation
Need more reasons to create dynamic content? Well: 90% of the information we assimilate comes to us through sight, and we retain 42% more information when the content moves.
Evaluation 1/5
Evaluation 2/5
Evaluation 3/5
Evaluation 4/5
Evaluation 5/5
Certificate
Here you can put a highlighted title
Congratulations!
Certificate of achievement
Use this space toput a great phrase
Here you can include a message to congratulate and wish luck to your audience at the end of the quiz.
Signature 2
Signature 1
Month, 20XX
Survey 1/5
CLARITY AND RELEVANCE OF CONTENT
Survey 2/5
course objectives
Survey 3/5
materials and resources
Survey 4/5
activities and practices
Survey 5/5
GENERAL FEEDBACK
Course completed!
Contextualize your topic
Write an awesome headline
Use this space to add some awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: If you want to get information on how your audience interacts, remember to activate user tracking from the Analytics preferences. Let the communication flow!
Contextualize your topic
Write a great headline
Use this space to add great interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: If you want to get information on how your audience interacts, remember to activate user tracking from the Analytics preferences. Let the communication flow!
Contextualize your topic
Write a great headline
Use this space to add great interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: If you want to get information on how your audience interacts, remember to activate user tracking from the Analytics preferences. Let the communication flow!
Lineare Funktionen
Skizzieren
Starte am y-Achsenabschnitt. Hier: n=2
Schaue auf die Steigung m: Oben steht, wie viel du nach oben/unten gehen musst. Ein negatives Vorzeichen bedeutet: nach unten gehen. Unten steht, wie viel du nach rechts gehst. Gehe immer davon aus, dass das Vorzeichen zu dem Wert nach oben/unten gehört.
Zeichne mindestens 2 Steigungsdreiecke.
Verbinde die Punkte zu einer Gearden.
20XX
Visual content is a universal, cross-cutting language, like music. We are capable of understanding images from millions of years ago, even from other cultures.
20XX
Visual content is a universal, cross-cutting language, like music. We are capable of understanding images from millions of years ago, even from other cultures.
20XX
Visual content is a universal, cross-cutting language, like music. We are capable of understanding images from millions of years ago, even from other cultures.
Contextualize your topic
Write an awesome headline
Use this space to add some awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: If you want to get information on how your audience interacts, remember to activate user tracking from the Analytics preferences. Let the communication flow!
Contextualize your topic
Write an great headline
Use this space to add some awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: If you want to get information on how your audience interacts, remember to activate user tracking from the Analytics preferences. Let the communication flow!
20XX
Visual content is a universal, cross-cutting language, like music. We are capable of understanding images from millions of years ago, even from other cultures.
Lineare Funktionen
Gemeinsam Üben
Familie Richter mietet im Urlaub ein Ferienhaus. Der Mietpreis beträgt 80 € pro Tag. Hinzu kommt eine einmalige Reinigungspauschale von 65€. Gib die Zuordnungsvorschrift an.
y -
Anzahl der Tage → Gesamtpreis in €
Wie viel zahlt die Familie, wenn sie 14 Tage bleibt ?
20XX
Visual content is a universal, cross-cutting language, like music. We are capable of understanding images from millions of years ago, even from other cultures.
f(x) = m・x +n
y-Achsenabschnitt
Funktionen mit der Gleichung f(x) = mx + n heißen lineare Funktionen. Dabei ist m die Steigung. Sie beschreibt den proportionalen Anteil der Funktion. Der Wert b oder auch manchmal n genannt ist fest und wird y-Achsenabschnitt genannt. Der Graph einer linearen Funktion ist eine Gerade, die die y-Achse im Punkt 0|b schneidet.
Steigungsdreieck
f(x) = m・x +n
Steigung
Funktionen mit der Gleichung f(x) = mx + n heißen lineare Funktionen. Dabei ist m die Steigung. Sie beschreibt den proportionalen Anteil der Funktion. Die Steigung ist der Wert, um den y gleichmäßig zunimmt.
Das Steigungsdreieck gibt die Steigung des Graphen an. Du kannst unendlich viele zeichnen. Wenn du immer gleich viel nach rechts und nach oben/ unten gehst, ist das Steigungsdreieck immer gleich. Dies zeigt, dass die Funktion gleichmäßig wächst/ fällt.
Kurs Akihabara
Rebecca Baumeister
Created on February 8, 2025
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Transcript
Lineare Funktionen
Allgemeine Lineare Funktionen
Let's go!
Introduction
f(x) = m ・x + n
Allgemeine Lineare Funktionen.
In diesem Kapitel geht es um Bisher haben wir uns nur Lineare Funktionen angeschaut, die durch den Urpsrung gehen, sogenannte proportionale Lineare Funktionen, bei denen der y-Achsenabschnitt Null ist Dies ändert sich jetzt.
Start Course
Index
Einstieg
Modules
Activities
Evaluation
Certificate
Survey
Einstieg
Der y-Achsenabschnitt
Bestimme, wie viel Valentin für 3 und 4 Stunden zahlen muss.
Valentin und Elina sind in der 7. Klasse und gehen nach der Schule zusammen in die Eishalle. Valentin hat eigene Schlittschuhe. Elina muss sich Schlittschuhe ausleihen.
Bestimme, wie viel Elena für 3 und 4 Stunden zahlen muss. Denke daran, dass Elena eine Ausleihgebühr von 3€ bezahlen muss.
+ info
Erarbeitung 1
Erarbeitung
Bestimme die Zuordnungsvorschrift für den Füllvorgang des Wasserbehälters.
Gib eine Zuordnungsvorschrift an, wenn zu Beginn bereits Wasser im Behälter ist.
Erarbeitung 2
Erkunde den Graphen
Frage 2
Frage 1
2) Wie ändert sich das Steigungsdreieck, wenn du den y-Achsenabschnitt veränderst ?
Stelle den y-Achsenabschnitt so ein, dass der Schnittpunkt mit der y-Achse bei (0|-3) liegt. Betrachte die Funktionsgleichung. Was fällt dir auf ?
Schalte alle Haken ein. Betätige den Schieberegler. Die Steigung kann unterschiedlich eingestellt sein. Lass sie aber erst einmal fest eingestellt. Verändere nur den Schieberegler oben. Was verändert sich ?
Mila behauptet, dass man auch ohne Graph nur mit der Funktionsgleichung den y-Achsenabschnitt ablesen kann. Erkläre, was sie damit meint.
Regeln
Steigung
Die Steigung m
Der y-Achsenabschnitt n
f(x) = m・x +n
Ist der Wert, um den die y-Werte gleichmäßig zunehmen.
ist der Punkt, wo der Graph die y-Achse schneidet
y-Achsenabschnitt
Beispiel 1
Gemeinsames Üben
Wie viel zahlt die Familie, wenn sie 14 Tage bleibt ?
Familie Richter mietet im Urlaub ein Ferienhaus. Der Mietpreis beträgt 80 € pro Tag. Hinzu kommt eine einmalige Reinigungspauschale von 65€. Gib die Zuordnungsvorschrift an.
Anzahl der Tage → Gesamtpreis in €
+ info
'Mit einer Funktionsgleichung können wir für jedes beliebige x einen zugehörigen y-Wert berechnen - Das ist der Vorteil einer Formel gegenüber einer Wertetabelle oder einer anderen Darstellungsform von Funktionen. -Frau Baumeister
Beispiel 2
Skizzieren
Skizziere den Graphen der Funktion:
Hier ist der y-Achsenabschnitt
Steigungsdreieck: 1 nach oben und 2 nach rechts
+ info
Module 1
Need more reasons to create dynamic content? Well: 90% of the information we assimilate comes to us through sight, and we retain 42% more information when the content moves. What you read: Interactivity and animation can make the most boring content turn into something fun. At Genially, we use AI (Awesome Interactivity) in all our designs, so you can level up with interactivity and turn your content into something that adds value and engages. When carrying out a presentation, you should pursue two objectives: conveying information and avoiding yawns. To do this, it can be a good practice to create a schema and use words that are etched into your audience's brain.
Write a great headline
With Genially's templates, you can include visual resources to leave your audience amazed. You can also highlight a specific phrase or fact that stays etched in the memory of your audience and even embed external content that surprises: videos, photos, audios... Whatever you want!
Module 1
3. Beings social
1. Visual beings
We need to interact with each other. We learn collaboratively.
We are able to understand images from millions of years ago, even from other cultures.
4. Beings digital
2. Narrative beings
We tell thousands and thousands of stories. ⅔ of our conversations are stories.
We avoid being part of the content saturation in the digital world.
Module 1
Conclusions
Describe the problem you are going to solve, and above all, the reason why your idea is interesting.
Narrative beings
We are visual beings
We tell thousands and thousands of stories. ⅔ of our conversations are stories.
We are able to understand images from millions of years ago, even from other cultures.
Beings digital
Social beings
We avoid being part of the content saturation in the digital world.
We need to interact with each other. We learn collaboratively.
Module 2
Summary
If you want to provide additional information or develop the content in more detail, you can do so through your oral presentation. We recommend that you train your voice and rehearse: the best improvisation is always the most worked!
Showing enthusiasm, sketching a smile, and maintaining eye contact with your audience can be your best allies when it comes to telling stories that excite and arouse the interest of the public: 'The eyes, kid. They never lie'. This will help you 'match' with your audience. Leave them open-mouthed!
+ info
'Including quotes always reinforces our presentation. It breaks the monotony' -Always quote the author
Module 2
Here you can put a standout title, something that captivates your audience
With Genially templates, you can include visual resources to leave your audience amazed. You can also highlight a specific phrase or data that will be etched in the memory of your audience and even embed external content that surprises: videos, photos, audios... Whatever you want! What you're reading: interactivity and animation can make the most boring content become something fun. At Genially, we use AI (Awesome Interactivity) in all our designs, so you can level up with interactivity and turn your content into something that adds value and captivates.
Module 2
Use videos!
And use this space to describe it. Multimedia content is essential in a presentation, to leave everyone speechless. Also, this way you will synthesize the content and entertain your audience.
+ info
Module 2
+85k
+45k
+190
This is how you will maintain the attention of your audience
...Even if you later explain it orally
You can represent numbers in this way
+ info
+ info
+ info
Show enthusiasm, sketch a smile and maintain eye contact with your audience: 'The eyes, chico. They never lie'.
If you are going to present live, we recommend that you train your voice and rehearse: the best improvisation is always the most worked!
You can make an outline to synthesize the content and use words that are burned into the brains of your audience.
Module 2
Conclusions
Describe the problem you are going to solve and, above all, the reason why your idea is interesting.
Narrative
We are visual beings
We tell thousands and thousands of stories. ⅔ of our conversations are stories.
We are able to understand images from millions of years ago, even from other cultures.
Beings digital
Social
We avoid being part of the content saturation in the digital world.
We need to interact with each other. We learn collaboratively.
Module 3
Summary
If you want to provide additional information or develop the content in more detail, you can do so through your oral presentation. We recommend that you train your voice and rehearse: the best improvisation is always the most worked!
Showing enthusiasm, sketching a smile, and maintaining eye contact with your audience can be your best allies when it comes to telling stories that excite and arouse the interest of the public: 'The eyes, kid. They never lie'. This will help you 'match' with your audience. Leave them open-mouthed!
+ info
'Including quotes always reinforces our presentation. It breaks the monotony' -Always quote the author
Module 3
With Genially templates, you can include visual resources to leave your audience speechless. Also, highlight a specific phrase or data that will be etched in the memory of your audience and even embed external content that surprises: videos, photos, audios... Whatever you want! What you read: interactivity and animation can make the most boring content become something fun. At Genially, we use AI (Awesome Interactivity) in all our designs, so that you level up with interactivity and turn your content into something that adds value and engages.
Use an image
And use this space to describe it. You can upload an image from your computer or use the resources available in Genially, on the left side of the tool. Leave everyone speechless!
+ info
Module 3
Include infographics in your creations
20XX
20XX
20XX
Surprise
Plan
Design
20XX
20XX
Structure
Communicate
Module 3
With Genially templates, you can include visual resources to leave your audience speechless. You can also highlight a specific phrase or data that will be etched into your audience's memory and even embed external content that surprises: videos, photos, audios... Whatever you want! Showing enthusiasm, drawing a smile, and maintaining eye contact with your audience can be your best allies when it comes to telling stories that excite and arouse the audience's interest: 'The eyes, chico. They never lie'. This will help you 'match' with your audience. Leave them speechless! Pose a dramatic question; it is the essential ingredient to maintain the audience's attention. It is usually posed subliminally at the beginning of the story to intrigue the audience and is resolved at the end.
Animate your content and take it to the next level
Did you know that Genially allows you to share your creation directly, without the need for downloads? Ready for your audience to visualize it on any device and give it exposure anywhere.
Module 3
Conclusions
Describe the problem you are going to solve and, above all, the reason why your idea is interesting
Narrative
We are visual beings
We tell thousands and thousands of stories. ⅔ of our conversations are stories.
We are able to understand images from millions of years ago, even from other cultures.
Beings digital
Social
We avoid being part of the content saturation in the digital world.
We need to interact with each other. We learn collaboratively.
Activities
Activity 2
Activity 1
Make the boring content in your presentation fun
Describe the problem you are going to solve and, above all, the reason why your idea is interesting
Activity 1
Click only on the correct concepts
Genially Functions
Genially Categories
Drag
Games
Record video
Books
Gradients
Quiz
3D
E-commerce
Animation
Illustrations
Die
Video
Translate
Expand
Blogs
Infographics
Check
Check
Activity 2
00:10
Click on 4 technological devices before 10 seconds
We are able to understand images from millions of years ago, even from other cultures.
We tell thousands and thousands of stories. ⅔ of our conversations are stories.
We need to interact with each other. We learn collaboratively.
We avoid being part of the content saturation in the digital world.
Evaluation
Evaluation
Need more reasons to create dynamic content? Well: 90% of the information we assimilate comes to us through sight, and we retain 42% more information when the content moves.
Evaluation 1/5
Evaluation 2/5
Evaluation 3/5
Evaluation 4/5
Evaluation 5/5
Certificate
Here you can put a highlighted title
Congratulations!
Certificate of achievement
Use this space toput a great phrase
Here you can include a message to congratulate and wish luck to your audience at the end of the quiz.
Signature 2
Signature 1
Month, 20XX
Survey 1/5
CLARITY AND RELEVANCE OF CONTENT
Survey 2/5
course objectives
Survey 3/5
materials and resources
Survey 4/5
activities and practices
Survey 5/5
GENERAL FEEDBACK
Course completed!
Contextualize your topic
Write an awesome headline
Use this space to add some awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: If you want to get information on how your audience interacts, remember to activate user tracking from the Analytics preferences. Let the communication flow!
Contextualize your topic
Write a great headline
Use this space to add great interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: If you want to get information on how your audience interacts, remember to activate user tracking from the Analytics preferences. Let the communication flow!
Contextualize your topic
Write a great headline
Use this space to add great interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: If you want to get information on how your audience interacts, remember to activate user tracking from the Analytics preferences. Let the communication flow!
Lineare Funktionen
Skizzieren
Starte am y-Achsenabschnitt. Hier: n=2
Schaue auf die Steigung m: Oben steht, wie viel du nach oben/unten gehen musst. Ein negatives Vorzeichen bedeutet: nach unten gehen. Unten steht, wie viel du nach rechts gehst. Gehe immer davon aus, dass das Vorzeichen zu dem Wert nach oben/unten gehört.
Zeichne mindestens 2 Steigungsdreiecke.
Verbinde die Punkte zu einer Gearden.
20XX
Visual content is a universal, cross-cutting language, like music. We are capable of understanding images from millions of years ago, even from other cultures.
20XX
Visual content is a universal, cross-cutting language, like music. We are capable of understanding images from millions of years ago, even from other cultures.
20XX
Visual content is a universal, cross-cutting language, like music. We are capable of understanding images from millions of years ago, even from other cultures.
Contextualize your topic
Write an awesome headline
Use this space to add some awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: If you want to get information on how your audience interacts, remember to activate user tracking from the Analytics preferences. Let the communication flow!
Contextualize your topic
Write an great headline
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20XX
Visual content is a universal, cross-cutting language, like music. We are capable of understanding images from millions of years ago, even from other cultures.
Lineare Funktionen
Gemeinsam Üben
Familie Richter mietet im Urlaub ein Ferienhaus. Der Mietpreis beträgt 80 € pro Tag. Hinzu kommt eine einmalige Reinigungspauschale von 65€. Gib die Zuordnungsvorschrift an.
y -
Anzahl der Tage → Gesamtpreis in €
Wie viel zahlt die Familie, wenn sie 14 Tage bleibt ?
20XX
Visual content is a universal, cross-cutting language, like music. We are capable of understanding images from millions of years ago, even from other cultures.
f(x) = m・x +n
y-Achsenabschnitt
Funktionen mit der Gleichung f(x) = mx + n heißen lineare Funktionen. Dabei ist m die Steigung. Sie beschreibt den proportionalen Anteil der Funktion. Der Wert b oder auch manchmal n genannt ist fest und wird y-Achsenabschnitt genannt. Der Graph einer linearen Funktion ist eine Gerade, die die y-Achse im Punkt 0|b schneidet.
Steigungsdreieck
f(x) = m・x +n
Steigung
Funktionen mit der Gleichung f(x) = mx + n heißen lineare Funktionen. Dabei ist m die Steigung. Sie beschreibt den proportionalen Anteil der Funktion. Die Steigung ist der Wert, um den y gleichmäßig zunimmt.
Das Steigungsdreieck gibt die Steigung des Graphen an. Du kannst unendlich viele zeichnen. Wenn du immer gleich viel nach rechts und nach oben/ unten gehst, ist das Steigungsdreieck immer gleich. Dies zeigt, dass die Funktion gleichmäßig wächst/ fällt.