1. 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.

2. Date:
Title: IM1 – G-CO-4 Lesson 1 Translations
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 Four-Square Notes and by solving problems in a pair/group activity.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section ______ 3) Section ______
TxtBk. Problems_________ Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

4. Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer:
How are the two images similar?
How are they different?
How can these two images be related to math?
IMAGE 1
IMAGE 2

5. Translation Vocabulary
Pre-Image
Image
Orientation
Distance

6. Vocabulary Acquisition
Friendly Definition
Sketch
Wordwork
Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 1
Use Visuals
Introduce the word
Friendly Definition
Physical Representation
Use Cognates
Write friendly definition
Word List
Vocabulary Acquisition
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing

7. Translations PRESERVE: Size Shape Orientation
Notes:
TRANSLATION (Slide): moves all points in a plane a given direction and a fixed distance
Translations PRESERVE: Size Shape Orientation

8. <x, y> <__, __>
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

9. <x, y> <__, __>
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

10. Notes:
ABCDE
A’B’C’D’E’
Transformation Notation: Pre-Image: original figure Image: after transformation (Use prime’ notation) C B D C’ B’ D’ A E A’ E’

11. Translate by the vector <x, y>
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

12. Storm Check (Think, Write, Discuss, Report)
What is the difference between the pre-image and the image? The pre-image is _________________________ _______________________________________. The image is ____________________________

13. Translate by the vector <x, y>
Partner Practice:
Translate by the vector <x, y> y A A’
<x, y>
<__, __>
(1, 6) A
A’’ A’
A’’ A’
<x, y>
<__, __> x

14. Notes:
Vector Notation <5,-2> Coordinate Notation T(x, y) -> (x+5, y-2)
ABCDE
A’B’C’D’E’ C B D C’ B’ D’ A E A’ E’

15. (____, ____) (____, ____) (x, y) (x, y) Coordinate Notation: y A A’
A-B Problem A/B notes:
Coordinate Notation: y A A’ A’
(x, y)
(____, ____)
(1, 6) A A’
A’’
A’’
(x, y)
(____, ____) x

16. (____, ____) (____, ____) (x, y) (x, y) Coordinate Notation:
Partner Practice:
Coordinate Notation: y A A’
(x, y)
(____, ____)
(1, 6) A
A’’ A’
A’’ A’
(x, y)
(____, ____) x

17. Translation Vocabulary
Pre-Image
Image
Orientation
Distance

18. Date:
Title: IM1 – G-CO-4 Lesson 1 Translations
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 Four-Square Notes and by solving problems in a pair/group activity.