IM1 – G-CO-4 Lesson 1 Translations
Moving an Object In 2 Dimensions
Mr. Deyo
G.CO.4 Develop definitions of rotations,
reflections, and translations in terms of angles,
circles, perpendicular lines, parallel lines, and
line segments.
Title: IM1 – G-CO-4 Lesson 1 Translations
Date:
Learning Target
By the end of the period, I will create a
definition of translation in 2 dimensions and
apply that definition to a given object.
I will demonstrate this by completing FourSquare Notes and by solving problems in a
pair/group activity.
Home Work 1-2-3:
2) Section ______
TxtBk. Problems_________
Solved and Put in Binder?
Date
1) Class 4-Square Notes Put In Binder?
3) Section ______
Notes Copied on blank sheet
of paper in Binder?
Table of Contents
Description
Date Due
Storm Check (Think, Write, Discuss, Report)
Questions on which to ponder and answer:
1. How are the two images similar?
2. How are they different?
3. How can these two images be related to math?
Translation Vocabulary
1) Pre-Image
2) Image
3) Orientation
4) Distance
Sketch
Friendly Definition
DAY 2
1. Review word
Friendly Definition
Physical Representation
DAY 1
1. Use Visuals
2.
Introduce the word
Friendly Definition
Physical Representation
3.
Use Cognates
4.
Write friendly definition
5.
Physical Representation
2. Draw a sketch
Word List
Wordwork
1.
2.
3.
4.
Sentence
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
DAY 5
1. Review the word
Friendly definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing
Notes:
TRANSLATION (Slide):
moves all points in a plane
a given direction
and
Translations PRESERVE:
Size
Shape
Orientation
a fixed distance
The blue pentagon is the PRE-IMAGE and the green pentagon
is the IMAGE. How would you describe the translation?
+
-
The IMAGE has moved ___ units right / left and
+
___ units up /down from the PRE-IMAGE.
<x, y>
<__, __>
Problem A
Triangle JKL is the PRE-IMAGE and Triangle PQR is the IMAGE.
How would you describe the translation?
+
-
The IMAGE has moved ___ units right / left and
+
___ units up /down from the PRE-IMAGE.
<x, y>
<__, __>
Problem B
Notes:
Transformation
Notation:
ABCDE
C
B
D
Pre-Image:
original figure
(Use prime’
notation)
C’
B’
A
Image: after
transformation.
A’B’C’D’E’
D’
E
A’
E’
A-B Problem
A/B notes:
Translate by the vector <x, y>
y
A
A’
A’
<x, y>
<__, __>
(1, 6)
A
A’’
A’
A’’
<x, y>
<__, __>
x
Storm Check (Think, Write, Discuss, Report)
What is the difference between the pre-image
and the image?
The pre-image is _________________________
_______________________________________.
The image is ____________________________
_______________________________________.
Partner Practice:
Translate by the vector <x, y>
y
A
A’
<x, y>
<__, __>
(1, 6)
A
A’’
A’
A’
A’’
<x, y>
<__, __>
x
Notes:
ABCDE
Vector Notation
A’B’C’D’E’
C
B
D
<5,-2>
C’
B’
Coordinate
Notation
A
D’
E
A’
T(x, y) -> (x+5, y-2)
E’
A-B Problem
A/B notes:
Coordinate Notation:
y
A
A’
A’
(x, y)
(1, 6)
(____, ____)
A
A’’
A’
A’’
(x, y)
(____, ____)
x
Partner Practice:
Coordinate Notation:
y
A
A’
(x, y)
(1, 6)
(____, ____)
A
A’’
A’
A’
A’’
(x, y)
(____, ____)
x
Translation Vocabulary
1) Pre-Image
2) Image
3) Orientation
4) Distance
Title: IM1 – G-CO-4 Lesson 1 Translations
Date:
Learning Target
By the end of the period, I will create a
definition of translation in 2 dimensions and
apply that definition to a given object.
I will demonstrate this by completing FourSquare Notes and by solving problems in a
pair/group activity.