
Rotations on a Coordinate Plane
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Medium
+1
Standards-aligned
Christina Gregory
Used 38+ times
FREE Resource
9 Slides • 14 Questions
1
Rotations on a Coordinate Plane
2
Open Ended
Think back to our last 2 lessons.
1) What does Translation mean in Math?
2) What does Reflection mean in Math?
3
Open Ended
What does Rotation mean to you?
4
The shape moves 1 quadrant to the right on the coordinate plane.
90° Clockwise
The shape moves 1 quadrant to the left on the coordinate plane.
90° Counter
Clockwise
The shape moves 2 quadrant to the right on the coordinate plane.
180° Clockwise
The shape moves 2 quadrant to the left on the coordinate plane.
180° Counter
Clockwise
5
Open Ended
What similarities and differences do you notice about the 4 rotations we just talked about?
6
Shape rotates 3 quadrants to the right ending up in the same quadrant as a 90° Counter-Clockwise Rotation
270° Clockwise → 90⁰ CCW
Shape rotates 3 quadrants to the leftt ending up in the same quadrant as a 90° Clockwise Rotation
270° CCW → 90⁰ Clockwise
Video clip for next slides, show: 2:16-4:50 question, then on next slide 5:40 to end
7
8
Open Ended
What are 3 examples of rotations in the real world?
9
10
Multiple Select
Which 2 graphs show a rotation of 180°?
11
Multiple Select
Which 2 graphs show a rotation of 90° clockwise?
12
Multiple Select
Which graph shows a rotation of 90° counter-clockwise?
13
14
CL-X
x & y switch places
x becomes its opposite
-x → +x
+x → -x
(x, y) → (y, -x)
90° CLockwise
CO-Y
x & y switch places
y becomes its opposite
-y → +y
+y → -y
(x, y) → (-y, x)
90° COunter-clockwise
Algebraic representation Clockwise
15
x & y stay in their places
both x & y become their opposite
-x → +x
+x → -x
-y → +y
+y → -y
(x, y) → (-x, -y)
180° CLockwise
x & y stay in their places
both x & y become their opposite
-x → +x
+x → -x
-y → +y
+y → -y
(x, y) → (-x, -y)
180° COunter-clockwise
Algebraic representation Clockwise
16
Switch the directions to 90° Counter-clockwise and use the CL-X rule
x & y switch places
x becomes its opposite
-x → +x
+x → -x
(x, y) → (y, -x)
270° CLockwise
Switch the directions to 90° Clockwise and use the CO-Y rule
x & y switch places
y becomes its opposite
-y → +y
+y → -y
(x, y) → (-y, x)
270° COunter-clockwise
Algebraic representation Clockwise
17
Multiple Choice
What rotation does the following rule represent?
(x, y) → (-y, x)
180° clockwise or counter-clockwise
90° Clockwise
90° Counter-Clockwise
270° Counter-Clockwise
18
Open Ended
What is the rule for a 180° Clockwise rotation?
19
Match
Match the following
90° Clockwise
90° Counter-Clockwise
180° Counter-clockwise
270° Clockwise
270° Counter-Clockwise
(x, y) → (y, -x)
(x, y) → (-y, x)
(x, y) → (-x, -y)
(x, y) → (-y, x)
(x, y) → (y, -x)
(x, y) → (y, -x)
(x, y) → (-y, x)
(x, y) → (-x, -y)
(x, y) → (-y, x)
(x, y) → (y, -x)
20
Multiple Select
What description and rule represents the rotation shown on the graph? (select 2 answers)
90° Clockwise
90° Counter-Clockwise
(x, y) → (-y, x)
(x, y) → (y, -x)
21
Match
Match the following graphs to the rule that represents the rotation shown
(x, y) → (-x, -y)
(x, y) → (y, -x)
(x, y) → (-y, x)
(x, y) → (-x, -y)
(x, y) → (y, -x)
(x, y) → (-y, x)
22
Open Ended
Summarize:
1) What is your definition of Rotation?
2) How do the notations help with performing reflections on the coordinate plane?
23
Multiple Select
Choose the topics you still need help understanding. (You can choose more than 1)
None. I understand everything in today's lesson
The difference between image and pre-image.
Performing rotations using mapping notation
The definition of a rotations
Rotations on a Coordinate Plane
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