Translations
Presentation
•
Mathematics
•
8th Grade
•
Easy
+7
Standards-aligned
Kevvin Hankins
Used 105+ times
FREE Resource
9 Slides • 13 Questions
1
Translations
by Kevvin Hankins
2
Coordinate Plane Transformations
3
Open Ended
What does it mean to transform something?
4
5
Poll
The video mentioned shapes being flipped, turned around, and shifted.
Which of those descriptions best fit or describe a rotation?
flipped
turned around
shifted
6
Open Ended
Today, we're focusing on translations. Have you heard this word before? What does it mean to you? (can be math related or not)
7
Translations
Are a type of transformation that move a shape (by shifting or sliding) to another location
Can move an image left, right, up, or down
The pre-image is the original image and the image is the image after it has been transformed
Make note of the notation used for the pre-image and image
8
9
Open Ended
What else did you notice about the pre-image and image? What do you wonder?
10
How do we "perform" transformations in the coordinate plane?
11
Open Ended
What are some differences in the two methods for performing translations discussed in the video?
12
Multiple Choice
Point Q is located at (4, 5). We want to shift it 6 units right. What would be the location of point Q'?
(10, 5)
(5, 10)
(4, 11)
(11, 4)
I'm not sure, I need more explanation.
13
Multiple Choice
Point K is located at (-2, 0). We want to shift it down 3 units. What would be the location of point Q'?
(-5, 0)
(0, -3)
(-2, -3)
(-5, -3)
I'm not sure, I need more explanation.
14
Poll
On the graph shown, the point R' was created by moving point R _____________.
6 units left
6 units right
4 units up
4 units down
15
Mapping Notation
Instead of writing x units left/right and y units up/down, we can use mapping notation. The number being added or subtracting to each coordinate let's you know how many units to move AND in what direction.
16
Subscript Notation
The capital T is used to denote a translation
The numbers in parenthesis DO NOT represent ordered pairs
The numbers in parenthesis are directions; they let you know which way to move on the coordinate plane
In this example, the notation is telling use to move point A left 1 unit and up 2 units to create point A' at (2, 4)
This notation is helpful if you don't have a coordinate plane to look at
17
Open Ended
What is the meaning of the notation in relation to translations?
18
Multiple Choice
Which notation denotes a translation of a pre-image 5 units right and 2 units down?
T(−5, 2)
T(−2,5)
T(5,−2)
T(−2, −5)
19
Open Ended
Triangle A'B'C' has the coordinates
A: (8, 8)
B: (8, 4)
C: (5, 4)
The mapping notation
20
Open Ended
Summarize:
1) What is your definition of translations?
2) How do the notations help with performing translations in the coordinate plane?
21
Poll
Choose the topics you still need help understanding. (You can choose more than 1)
None. I understand everything in today's lesson.
Performing translations using mapping notation
Performing translations using subscript notation
The definition of a translation.
The difference between image and pre-image.
22
Translations
by Kevvin Hankins
Show answer
Auto Play
Slide 1 / 22
SLIDE
Similar Resources on Wayground
16 questions
Slope and Y-Intercept of a Graph
Presentation
•
8th Grade
19 questions
Approximating Imperfect Square Roots
Presentation
•
8th Grade
15 questions
Lesson on Scatter Plots
Presentation
•
8th Grade
19 questions
Pythagorean Theorem
Presentation
•
8th Grade
18 questions
Integer Exponents
Presentation
•
8th Grade
16 questions
Multiplying Integers
Presentation
•
8th Grade
16 questions
Rational and Irrational Number Review
Presentation
•
8th Grade
16 questions
Introduction to Slope
Presentation
•
8th Grade
Popular Resources on Wayground
24 questions
PBIS-HGMS Day 10
Quiz
•
6th - 8th Grade
10 questions
HCS SCI 03 Summer School Review 3
Quiz
•
3rd Grade
11 questions
Home Scope
Quiz
•
7th - 8th Grade
15 questions
HCS SCI 05 Summer School Assessment 3 Review
Quiz
•
5th Grade
35 questions
Lufkin Road Middle School Student Handbook & Policies Assessment
Quiz
•
7th Grade
18 questions
Geo 11.3 Area of Circles and Sectors
Quiz
•
9th - 11th Grade