1. Unit 1 – Day 2 Introduction to Transformations And Translations
Please complete the student information sheet on your desk.

2. Warm Up – Matching Card Game
Each of you has been handed a card with a figure plotted on a coordinate plane.
Find your classmate who has the “matching” figure.
Once you find your “match”, sit together and write a quick description of how your figures have been changed. Be as descriptive as possible! WRITE YOUR DESCRIPTIONS ON A PIECE OF NOTEBOOK PAPER TO TURN IN!
Solid is original, dotted is the new image.
Once all matches have been found, a few will share a few.

3. Unit 1: Transformations
Essential Questions:
Why are only four types of transformations needed to describe the motion of a figure?
How can coordinates be used to describe a sliding motion or translation?

4. Transformations
Definition: A Transformation is a change in the position, size, or shape of a geometric figure.

5. Think About The Situation – Page 196 B and C only

6. Investigation
In this lesson, you will learn how coordinates can be used to transform shapes. You will investigate coordinate representation of rigid transformations that provide a way to reposition figures in a plane without changing the shape or the size of the figures.

7. Translation
Definition: A Translation (slide) is a transformation that moves points the same distance and in the same direction. A translation in the coordinate plane is described by a vector.

8. Preimage and Image The preimage is the original figure.
Denoted as A
The image is the figure after a transformation.
Denoted as A’ or “A prime” (This is called Prime Notation)

9. Group Work
A translation, or sliding motion, is determined by distance and direction. By looking carefully at a simple shape and its translated image, you can discover patterns relating the coordinates of the shape and the coordinates of its image.
Work with your partner to complete the questions in 15 minutes
Problem 2 and 3 in your textbook. Page 198 and 199

10. Question 2 v

11. Question 2 v

12. General Rule
Compare the transformation rules you developed for Part d of Problem 2 and for Parts c and e of Problem 3.
In pairs, write a general rule that tells how to take any point (x, y) and find its translated image if the preimage is moved horizontally h units and vertically k units.
Compare your rule with other pairs and resolve any differences.

13. **General Rule for Translations**
(x, y)  (x + h, y + k)
Describes a translation of
h horizontal units (+ Right, - Left)
k vertical units (+ Up, - Down)

14. Example Write a description and rule for the following translation
*Hint: the
Translated
Image is
Always has the
Prime notation

15. Vector Notation
Vector notation is another way to write rules of translations.
A vector is written as
h = left/right
k = up/down

16. Homework
Complete the assigned worksheet on Translations First Test: Friday, 2.7 Project Due: Monday, 2.10