Exponential functions - 1

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Lesopbouw:

1. VOORAF: Startklaar, Voorkennis activeren, Formatief Handelen

2. INSTRUCTIE: Leerdoelgericht werken, Inclusieve didactiek, Concrete en herkenbare voorbeelden, Formatief Handelen

3. TOEPASSING: Actieve verwerking, Formatief handelen 

4. EVALUATIE: Afsluiting

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Welcome back!

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Mijn werk dagen

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• Getal en Ruimte boek;

• Een grafische rekenmachine die op examenstand kan;

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• Een Oxford IB Boek

Laat het me anders deze les weten!

Afspraak voor AI

•Do not useAI formaking theexercisesat home.

Reasons:

•AI can make mistakes.

•AI can explain things in too much depth and therefore make it confusing.

•AI might use a different method that we do not approve in checking exams.

•It makes you study in a ‘lazy way’: which means you will learn less.

Alternatives:

•Ask your teacher(s) and classmates

•Check out other sources online: Math with Menno video’s, Khan Academy, …

*If you are in an emergency (possibly in the weekend after you have tried everything to solve an exercise) and you happen to use AI (which I do not encourage!!!), please send me a screenshot of the explanation afterwards so I can check if it is correct.

 

Learning goals for periode 1

Slide tekst

Learning goals for this lesson

- I know and can apply the laws for calculating with exponents 

- I know the standard form of an exponential function

 

You should already know how to: 

Evaluate expressions with exponents: 

$$2^n$$

$$2^3$$

$$4^{-1}$$

$$5^{-3}$$

Rules of exponents:

Slide tekst

Think about answers: 

Give one more example

for each rule...

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Exploration 

Open Geogebra webside and work out the amounts for days 1 to 20.Find the total in US dollars for all 20 days.

Graph your function from step 2b for

Explain which option gives the most money.

https://www.geogebra.org/calculator

Use Geogebra

https://www.geogebra.org/m/CCYSB4H2?utm_source=chatgpt.com

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Why we have coordinate 1 on 

y-axis with this functions? 

If we have a value before the exponent, what is the form for this functions? 

Open this link

https://www.geogebra.org/calculator

with your neighbour try to draw this graph: 

$$y=3.{(\frac{1}{2})}^x$$

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Exit question: 

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Answer: a

Answer: b

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Worksheet 2.3 

You can start it now, then it will be your homework for next lesson

We can make this worksheet in the classroom. Because it is not so clear for students combinations of transformations.