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01 Intro to Transformations.notebook 1 August 22, 2017 Bellwork 25 32 1 2 m 1 = _____ m 2 = _____

01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

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Page 1: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

1

August 22, 2017

Bellwork 

25

3212

m   1 = _____m   2 = _____

Page 2: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

2

August 22, 2017

Reminders:­ Last week (block day) there was a quiz.­ Make it up by Thursday.

Objective:

SWBAT describe the four different types of transformations. 

Page 3: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

3

August 22, 2017

Today:­ notes on transformations­ translation activity

Please: ­ Cell phones completely away.­ Bags and backpacks under your desk.

Page 4: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

4

August 22, 2017

Assignment due today.

Page 5: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

5

August 22, 2017

Unit 2: Transformationstitle your notes

Page 6: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

6

August 22, 2017

Transformation: Change in the position, size, or shape of a figure or graph.

Page 7: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

7

August 22, 2017

Pre­Image: The original figure

Image: The figure after a transformation.

pre­imageimage

Page 8: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

8

August 22, 2017

Primes (') are used to label the image.

XZ

Y

X'Z'

Y'

XYZ       X'Y'Z'

Page 9: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

9

August 22, 2017

The 4 Types of Transformations

Translation: slides a figure

Page 10: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

10

August 22, 2017

The 4 Types of Transformations

reflection: creates a mirror image

Page 11: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

11

August 22, 2017

The 4 Types of Transformations

rotation: spins an object around a point

Page 12: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

12

August 22, 2017

The 4 Types of Transformations

dilation: makes an object larger or smaller

Page 13: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

13

August 22, 2017

What is the major difference between dilations and the other transformations?

Discuss:

Page 14: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

14

August 22, 2017

isometry (rigid transformation): a transformation that does NOT change the size or shape of a figure.

Page 15: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

15

August 22, 2017

1.  What is the difference between a pre­image and an image?2.  Which figure below is the image (Figure 1 or Figure 2)?  How do you know this? 

A

B

C2 A'

B'

C'1

Discuss:

Page 16: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

16

August 22, 2017

Everyone receive the "Translations Activity".Make sure you have a PENCIL and a ruler.

Page 17: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

17

August 22, 2017

Graph the pre­image.  Check and make extra sure it is correct before moving on.

Page 18: 01 Intro to Transformations.notebook€¦ · 01 Intro to Transformations.notebook 15 August 22, 2017 1. What is the difference between a pre image and an image? 2. Which figure below

01 Intro to Transformations.notebook

18

August 22, 2017