today’s lesson: what: transformations (translations)... why: to introduce transformations and...

14
Today’s Lesson: What: transformations (Translations). . . Why: To introduce transformations and begin performing translations .

Upload: adrian-king

Post on 08-Jan-2018

244 views

Category:

Documents


0 download

DESCRIPTION

3)Rotation 4)Dilation A AIAI Let’s focus on translations... A AIAI

TRANSCRIPT

Page 1: Today’s Lesson: What: transformations (Translations)... Why: To introduce transformations and begin performing translations. What: transformations (Translations)

Today’s Lesson:What:

transformations (Translations). . .

Why: To introduce transformations and begin performing translations .

Page 2: Today’s Lesson: What: transformations (Translations)... Why: To introduce transformations and begin performing translations. What: transformations (Translations)

What is a transformation??

A transformation refers to a specific way a figure in geometry is either changed or __________________ to create a different image.

4 Types of Transformations:

1) Translation

2) Reflection

A AI

A AI

moved

Page 3: Today’s Lesson: What: transformations (Translations)... Why: To introduce transformations and begin performing translations. What: transformations (Translations)

3) Rotation

4) Dilation

A AI

Let’s focus on translations . . .

A AI

Page 4: Today’s Lesson: What: transformations (Translations)... Why: To introduce transformations and begin performing translations. What: transformations (Translations)

A AI

PRE-IMAGE IMAGE

We call this “A___________.”

First things first . . .

Page 5: Today’s Lesson: What: transformations (Translations)... Why: To introduce transformations and begin performing translations. What: transformations (Translations)

Perform the following translations:

1) Translate the figure (2, -4):

This means two units to the RIGHT and four units DOWN!

Page 6: Today’s Lesson: What: transformations (Translations)... Why: To introduce transformations and begin performing translations. What: transformations (Translations)

Perform the following translations:

2) Translate the figure (-3, 1):

This means three units to the LEFT and ONE unit up!

Page 7: Today’s Lesson: What: transformations (Translations)... Why: To introduce transformations and begin performing translations. What: transformations (Translations)

Perform the following translations:

3) Translate the figure (-4, -4):

This means four units to the LEFT and four units DOWN!

Page 8: Today’s Lesson: What: transformations (Translations)... Why: To introduce transformations and begin performing translations. What: transformations (Translations)

Perform the following translations:

4) Translate the figure (6, -2):

This means six units to the RIGHT and two units DOWN!

Page 9: Today’s Lesson: What: transformations (Translations)... Why: To introduce transformations and begin performing translations. What: transformations (Translations)

1)If point A is located at (2, 5) and is translated three units to the left and two units up, where would A1 be?

2)If point A is located at (-4, 2) and is translated five units to the right and four units down, where would A1 be?

(-1, 7)

(1, -2)

Page 10: Today’s Lesson: What: transformations (Translations)... Why: To introduce transformations and begin performing translations. What: transformations (Translations)

END OF LESSON

The next slides are student copies of the notes for this lesson. These notes were handed out in class

and filled-in as the lesson progressed.

NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”)

represent the homework assigned for that day.

Page 11: Today’s Lesson: What: transformations (Translations)... Why: To introduce transformations and begin performing translations. What: transformations (Translations)

Math-7 NOTES DATE: ______/_______/_______What: transformations (Translations). . .

Why: To introduce transformations and begin performing translations .

NAME:

What is a transformation??

A transformation refers to a specific way a figure in geometry is either changed or __________________ to create a different image.

Translations:

4 Types of Transformations:

1) Translation

2) Reflection

3) Rotation

4) Dilation

A AI

A AI

A AI

A AI

A AI

PRE-IMAGE IMAGE

We call this “A___________.”

Page 12: Today’s Lesson: What: transformations (Translations)... Why: To introduce transformations and begin performing translations. What: transformations (Translations)

Perform the following translations:

1) Translate the figure (2, -4): 2) Translate the figure (-3, 1):

3) Translate the figure (-4, -4): 4) Translate the figure (6, -2):

1) If point A is located at (2, 5) and is translated three units to the left and two units up, where would A1 be?

2) If point A is located at (-4, 2) and is translated five units to the right and four units down, where would A1 be?

This means two units to the right and four units down!

Page 13: Today’s Lesson: What: transformations (Translations)... Why: To introduce transformations and begin performing translations. What: transformations (Translations)

Math-7 Practice/ homework“translations”

NAME: ____________________________DATE: ______/_______/_______

(-1, 0) (1, -2)

(3, 0) (1, -2)

Page 14: Today’s Lesson: What: transformations (Translations)... Why: To introduce transformations and begin performing translations. What: transformations (Translations)

9) 10)

11) 12)