unit 1: transformations in the coordinate...
TRANSCRIPT
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Unit 1: Transformations in the
Coordinate Plane
Vocabulary Builder
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Transformations
Image
Pre-Image
transformation
Composition of transformations
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Transformations
translation
Rigid motion
Corresponding parts
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Transformations
congruentCongruence transformation
translation
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Transformations
rotationAngle of rotation Center of rotation
reflectionLine of reflection
Glide reflection
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Transformations
14. Center of rotation
15. Rigid motion
16. rotation
17. Angle of rotation
18. r(270,0)
19. clockwise
20. counter-clockwise
21. r(90,0)
22. r(180,0)
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Unit 1: Transformations in the
Coordinate Plane
1.1 Transformations
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1.1 Transformations
Today’s Date
January 9, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
transformation positionshape size
pre-imageimage maps
primes
enlargement
reduction
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1.1 Transformations
Today’s Date
January 9, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
Slide Flip Turn Size Change
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1.1 Transformations
Today’s Date
January 9, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
rotation
∆𝐴𝐵𝐶 → ∆𝐴′𝐵′𝐶′
reflection
𝐷𝐸𝐹𝐺 → 𝐷′𝐸′𝐹′𝐺′
translation
𝑀𝑁𝑂𝑃 → 𝑀′𝑁′𝑂′𝑃′
rotation
∆𝑋𝑌𝑍 → ∆𝑋′𝑌′𝑍′
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1.1 Transformations
Today’s Date
January 9, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
𝐴′C′
B′
𝐴C
B
Reflection across the y-axis
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1.1 Transformations
Today’s Date
January 9, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
𝐸
𝐺
𝐻
𝐹
𝑬’
𝑮’𝑯’
𝑭’ 90˚ rotation counter-clockwise
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Unit 1: Transformations in the Coordinate Plane
•Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure
Direct Explanation
• INDEPENDENT PRACTICE•Booklet Pages
•HOMEWORK•Booklet Pages
Worktime
•How can I apply all that I have learned about Transformations to demonstrate mastery of the standards?
Closing
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Unit 1: Transformations in the
Coordinate Plane
1.2 Translations
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1.2 Translations
Today’s Date
January 10, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
translation slides
horizontal
(𝒙 + 𝒂, 𝒚)
vertical
(𝒙, 𝒚 + 𝒃)
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1.2 Translations
Today’s Date
January 10, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
slant
(𝒙 + 𝒂, 𝒚 + 𝒃)
𝑨’(−𝟐, 𝟏) 𝑩’(−𝟏, 𝟑) 𝑪’(𝟏, 𝟎)𝐵’
𝐴’𝐶’
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1.2 Translations
Today’s Date
January 10, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
𝑱’ −𝟏, 𝟓 𝑲′ 𝟏, 𝟓𝑴’(−𝟏, 𝟎) 𝑳’(𝟏, 𝟎)
𝐾’𝐽’
𝑀’ 𝐿’
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1.2 Translations
Today’s Date
January 10, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
𝑻(𝒙, 𝒚) = (𝒙 + 𝟓, 𝒚 − 𝟐)
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1.2 Translations
Today’s Date
January 10, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.𝑻(𝒙, 𝒚) = (𝒙 + 𝟒, 𝒚 − 𝟔)
𝟒 𝒖𝒏𝒊𝒕𝒔 𝒕𝒐 𝒕𝒉𝒆 𝒓𝒊𝒈𝒉𝒕 𝒂𝒏𝒅 𝟔 𝒖𝒏𝒊𝒕𝒔 𝒅𝒐𝒘𝒏
(−𝟏𝟒, 𝟒)
(−𝟏𝟎, 𝟕)
(−𝟓, 𝟒)
(−𝟏𝟎,−𝟐)
(−𝟔, 𝟏)
(−𝟏,−𝟐)
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Unit 1: Transformations in the Coordinate Plane
•Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure
Direct Explanation
• INDEPENDENT PRACTICE•Booklet Pages
•HOMEWORK•Booklet Pages
Worktime
•How can I apply all that I have learned about Translationsto demonstrate mastery of the standards?
Closing
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Unit 1: Transformations in the
Coordinate Plane
1.3 Reflections
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1.3 Reflections
Today’s Date
January 11, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
Line of reflection
x-coordinate
(−𝒙, 𝒚)
y-coordinate
(𝒙, −𝒚)
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1.3 Reflections
Today’s Date
January 11, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
swap
(𝒚, 𝒙)
swap
(−𝒚,−𝒙)
opposite sign
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1.3 Reflections
Today’s Date
January 11, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
𝑿’ 𝟐, 𝟏𝒀′ −𝟒, 𝟑𝒁’ 𝟑,−𝟐
𝑺’ −𝟑, 𝟒𝑻′ −𝟑, 𝟏𝑼’ 𝟐, 𝟏𝑽’(𝟐, 𝟒)
𝑹’ 𝟐,−𝟐𝑺′ 𝟎, 𝟓𝑻’ −𝟏, 𝟑
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1.3 Reflections
Today’s Date
January 11, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
𝑨’ 𝟏, −𝟐𝑩′ 𝟑,−𝟔𝑪’ 𝟓,−𝟒
𝑱’ 𝟑, −𝟒𝑲′ 𝟒, 𝟎𝑳’ 𝟐, 𝟐𝑴’(𝟏,−𝟏)
𝑨’ 𝟔, −𝟏𝑩′ 𝟐,−𝟏𝑪’ 𝟐,−𝟒
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1.3 Reflections
Today’s Date
January 11, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
𝑷’ 𝟎, 𝟐𝑸′ 𝟏, 𝟎𝑹’ −𝟏,−𝟓
𝑨’ −𝟏,−𝟑𝑩′ −𝟓,−𝟑𝑪’ −𝟒,−𝟒𝑫’(−𝟐,−𝟒)
𝑫’ −𝟏,−𝟏𝑬′ −𝟐,−𝟑𝑭’ −𝟒,−𝟐
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1.3 Reflections
Today’s Date
January 11, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
𝑺’ 𝟏𝟎,−𝟒𝑻′ 𝟗, 𝟏𝑼’ 𝟔, 𝟏
𝑮’ −𝟔, 𝟕 𝑯′ −𝟔, 𝟓𝑱’ −𝟐, 𝟕 𝑲’ −𝟐, 𝟓 𝑳′(−𝟑, 𝟗)
𝑨’ 𝟐, 𝟒𝑩′ 𝟎, 𝟐𝑪’ −𝟏, 𝟓
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Unit 1: Transformations in the Coordinate Plane
•Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure
Direct Explanation
• INDEPENDENT PRACTICE•Booklet Pages
•HOMEWORK•Booklet Pages
Worktime
•How can I apply all that I have learned about Reflectionsto demonstrate mastery of the standards?
Closing
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Unit 1: Transformations in the
Coordinate Plane
1.4 Rotations
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1.4 Rotations
Today’s Date
January 13, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
counter-clockwise
clockwise
center of rotation
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1.4 Rotations
Today’s Date
January 13, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
(−𝒚, 𝒙)
(−𝒙,−𝒚)
90˚ CW
(𝒚, −𝒙)
180˚ CW
270˚ CW
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1.4 Rotations
Today’s Date
January 13, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
![Page 33: Unit 1: Transformations in the Coordinate Planetwhitemathphs.weebly.com/uploads/8/5/2/9/85292070/... · Unit 1: Transformations in the Coordinate Plane •Given a geometric figure](https://reader030.vdocument.in/reader030/viewer/2022040411/5ed7b684ed7518079a083614/html5/thumbnails/33.jpg)
1.4 Rotations
Today’s Date
January 13, 2017
What are we learning today?
MGSE9 – 12.G.CO.4 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
![Page 34: Unit 1: Transformations in the Coordinate Planetwhitemathphs.weebly.com/uploads/8/5/2/9/85292070/... · Unit 1: Transformations in the Coordinate Plane •Given a geometric figure](https://reader030.vdocument.in/reader030/viewer/2022040411/5ed7b684ed7518079a083614/html5/thumbnails/34.jpg)
Unit 1: Transformations in the Coordinate Plane
•Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure
Direct Explanation
• INDEPENDENT PRACTICE•Booklet Pages
•HOMEWORK•Booklet Pages
Worktime
•How can I apply all that I have learned about Rotations to demonstrate mastery of the standards?
Closing
![Page 35: Unit 1: Transformations in the Coordinate Planetwhitemathphs.weebly.com/uploads/8/5/2/9/85292070/... · Unit 1: Transformations in the Coordinate Plane •Given a geometric figure](https://reader030.vdocument.in/reader030/viewer/2022040411/5ed7b684ed7518079a083614/html5/thumbnails/35.jpg)
Unit 1: Transformations in the
Coordinate Plane
1.5 Symmetry
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1.5 Symmetry
Today’s Date
January 17, 2017
What are we learning today?
MGSE9 – 12.G.CO.3 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
Regular polygon
Line of Symmetry
congruent
Pre-image
Line symmetry Reflectional
Rotational symmetry
360˚
symmetry
![Page 37: Unit 1: Transformations in the Coordinate Planetwhitemathphs.weebly.com/uploads/8/5/2/9/85292070/... · Unit 1: Transformations in the Coordinate Plane •Given a geometric figure](https://reader030.vdocument.in/reader030/viewer/2022040411/5ed7b684ed7518079a083614/html5/thumbnails/37.jpg)
1.5 Symmetry
Today’s Date
January 17, 2017
What are we learning today?
MGSE9 – 12.G.CO.3 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
8 1
4
![Page 38: Unit 1: Transformations in the Coordinate Planetwhitemathphs.weebly.com/uploads/8/5/2/9/85292070/... · Unit 1: Transformations in the Coordinate Plane •Given a geometric figure](https://reader030.vdocument.in/reader030/viewer/2022040411/5ed7b684ed7518079a083614/html5/thumbnails/38.jpg)
1.5 Symmetry
Today’s Date
January 17, 2017
What are we learning today?
MGSE9 – 12.G.CO.3 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
90˚, 180˚, 270˚ 60˚, 120˚, 180˚, 240˚, 300˚
45˚, 90˚, 135˚,
180˚, 225˚, 270˚
𝟑𝟔𝟎° ÷ 𝟒 = 𝟗𝟎° 𝟑𝟔𝟎° ÷ 𝟔 = 𝟔𝟎°
𝟑𝟔𝟎° ÷ 𝟖 = 𝟒𝟓°
![Page 39: Unit 1: Transformations in the Coordinate Planetwhitemathphs.weebly.com/uploads/8/5/2/9/85292070/... · Unit 1: Transformations in the Coordinate Plane •Given a geometric figure](https://reader030.vdocument.in/reader030/viewer/2022040411/5ed7b684ed7518079a083614/html5/thumbnails/39.jpg)
1.5 Symmetry
Today’s Date
January 17, 2017
What are we learning today?
MGSE9 – 12.G.CO.3 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
4 Lines of Symmetry
𝒙 = 𝟏, 𝒚 = 𝟏
Rotational @ (1,1)
90˚, 180˚, 270˚6 Lines of Symmetry
𝒙 − 𝒂𝒙𝒊𝒔, 𝒚 − 𝒂𝒙𝒊𝒔Rotational @ (0,0)
60˚, 120,180˚,240˚ 240˚,300˚
2 Lines of Symmetry
𝒙 = −𝟐, 𝒚 = 𝟏
Rotational @ (-2,1)
180˚
![Page 40: Unit 1: Transformations in the Coordinate Planetwhitemathphs.weebly.com/uploads/8/5/2/9/85292070/... · Unit 1: Transformations in the Coordinate Plane •Given a geometric figure](https://reader030.vdocument.in/reader030/viewer/2022040411/5ed7b684ed7518079a083614/html5/thumbnails/40.jpg)
Unit 1: Transformations in the Coordinate Plane
•Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure
Direct Explanation
• INDEPENDENT PRACTICE•Booklet Pages
•HOMEWORK•Booklet Pages
Worktime
•How can I apply all that I have learned about Symmetry to demonstrate mastery of the standards?
Closing
![Page 41: Unit 1: Transformations in the Coordinate Planetwhitemathphs.weebly.com/uploads/8/5/2/9/85292070/... · Unit 1: Transformations in the Coordinate Plane •Given a geometric figure](https://reader030.vdocument.in/reader030/viewer/2022040411/5ed7b684ed7518079a083614/html5/thumbnails/41.jpg)
Unit 1: Transformations in the
Coordinate Plane
1.6 Sequence of Transformations
![Page 42: Unit 1: Transformations in the Coordinate Planetwhitemathphs.weebly.com/uploads/8/5/2/9/85292070/... · Unit 1: Transformations in the Coordinate Plane •Given a geometric figure](https://reader030.vdocument.in/reader030/viewer/2022040411/5ed7b684ed7518079a083614/html5/thumbnails/42.jpg)
1.6 Sequence of Transformations
Today’s Date
January 18, 2017
What are we learning today?
MGSE9 – 12.G.CO.3 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
image
Pre-image
rotation reflection
Composition of transformation
glide reflection
![Page 43: Unit 1: Transformations in the Coordinate Planetwhitemathphs.weebly.com/uploads/8/5/2/9/85292070/... · Unit 1: Transformations in the Coordinate Plane •Given a geometric figure](https://reader030.vdocument.in/reader030/viewer/2022040411/5ed7b684ed7518079a083614/html5/thumbnails/43.jpg)
1.6 Sequence of Transformations
Today’s Date
January 18, 2017
What are we learning today?
MGSE9 – 12.G.CO.3 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
![Page 44: Unit 1: Transformations in the Coordinate Planetwhitemathphs.weebly.com/uploads/8/5/2/9/85292070/... · Unit 1: Transformations in the Coordinate Plane •Given a geometric figure](https://reader030.vdocument.in/reader030/viewer/2022040411/5ed7b684ed7518079a083614/html5/thumbnails/44.jpg)
1.6 Sequences of Transformations
Today’s Date
January 18, 2017
What are we learning today?
MGSE9 – 12.G.CO.3 - Experiment with transformations in the plane
What am I going to do?
Transformations in the Coordinate Plane
How will I show you I learned it?
Daily Exit Tickets
What’s for homework?
Booklet pg.
Sequence 1: 𝑻 𝒙, 𝒚 = (𝒙 + 𝟓, 𝒚 − 𝟒)Sequence 2: 𝑹𝒙−𝒂𝒙𝒊𝒔
Sequence 1: 𝟗𝟎° 𝑪𝑾𝑹𝒐𝒕𝒂𝒕𝒊𝒐𝒏 (𝟎, 𝟐)Sequence 2: 𝑻 𝒙, 𝒚 = (𝒙, 𝒚 + 𝟒)
![Page 45: Unit 1: Transformations in the Coordinate Planetwhitemathphs.weebly.com/uploads/8/5/2/9/85292070/... · Unit 1: Transformations in the Coordinate Plane •Given a geometric figure](https://reader030.vdocument.in/reader030/viewer/2022040411/5ed7b684ed7518079a083614/html5/thumbnails/45.jpg)
Unit 1: Transformations in the Coordinate Plane
•Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure
Direct Explanation
• INDEPENDENT PRACTICE•Booklet Pages
•HOMEWORK•Booklet Pages
Worktime
•How can I apply all that I have learned about Sequence of Transformations to demonstrate mastery of the standards?
Closing