Graph transformations part 3

• Ges
• Middelbare school
• mavo
• Leerjaar 1

JdW-kijkwijzer

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

On the table:

Notebook

Pen en pencil

Calculator

Laptop

Welkome to the MYP5 Mathematics Lesson

In your bag:

phone

 earplugs 

Happy New Year!!!!!

From Explosions to Extinction:
Modeling Change with Exponents

Mathematical models help us understand and predict patterns of change in real-world contexts. This statement emphasizes how functions like exponential and logarithmic models provide insight into dynamic systems that
change over time.

From Explosions to Extinction:
Modeling Change with Exponents

Key math concept: Relationships

Other concepts: Connections, Development

Today

- Recap on graph transformations

- New learning goal: combinations of transformations. 

What are the different types of transformations?

Changing graphs

three types of transformations 

Reflections

Reflections: example 

Dilations

Dilations: example

Dilations: examples

Dilations: example

Dilations: example

New learning goal

- I know how to apply combinations of transformations

Combinations of transformations

Combinations of transformations: example

! 

Sometimes, we combine reflection and dilation in one step. We talk about scaling (horizontal or vertical). 

For instance, when we transform the graph y = x to y = -5x,  
both answers are correct:

> We have performed a vertical scaling of -5

> We have performed a dilation with scale 5 and then a reflection in the x-axis.

maybe we can explain here that because we use different methods we have to discuss both ways to note it in class.

https://www.geogebra.org/worksheet/copy/id/bdka9wv8

Worksheet 2.2

Check learning goals

- I know how to apply combinations of transformations

Vertex form (recap for some: "kwadraat afsplitsen")

Remember factorization of quadratic equations ("ontbinden in factoren")?

For instance: 

Vertex form 

We can use factorization to write quadratic equations in the so-called vertex form. 

Vertex form 

example

Reflections: example 

Learning goals before the break

- I know the types of transformations that can be applied to graphs 

- I know how a translation affects the formula of a graph
- I know how a reflection affects the formula of a graph

- I know how a dilation affects the formula of a graph

ATL: Generating novel ideas and considering new perspectives