Download presentation

Presentation is loading. Please wait.

Published byLewis O’Neal’ Modified over 2 years ago

1
Today’s Lesson: What: transformations (rotations)... Why: To perform rotations of figures on the coordinate plane.. What: transformations (rotations)... Why: To perform rotations of figures on the coordinate plane..

2
Translation Review: Remember, a translation is a ______________. MEMORIZE: “RIGHT or LEFT changes _____!! UP or DOWN changes _____!!! This means that if a figure moves RIGHT or LEFT, we ADD or __________________ from the original x coordinate. If a figure moves UP or DOWN, we ADD or SUBTRACT from the original ______ coordinate. Point A, (3, 5) is translated two to the left and four up. Where is A I ? slide x y SUBTRACT y Answer: (1, 9)

3
A AIAI Stations of Rotation: 90º: 180º: 270º: 360º: CLOCKWISE: from “12 o’clock” (top of coordinate graph), figure will rotate to the ____________________. COUNTER-CLOCKWISE: from “12 o’clock” (top of coordinate graph), figure will rotate to the ____________________. What about rotations ?? right left Let’s explore some rotations... Rotation Applet full turn

4
Exploring Rotations (To be used in conjunction with NLVM) A ROTATION refers to when a geometric figure is ________________________ around a center of rotation. For this activity, we will explore rotations on the coordinate plane. Our center of rotation will be the ____________________________. Directions: As Ms. Dyson rotates the following figure (on the screen), let’s track the movement of one point: Rotation #1: Clockwise Rotation of Trapezoid: Original coordinate of given point: (, ) Quadrant: _____ Coordinate after 90°clockwise rotation:(, ) Quadrant: _____ Coordinate after 180°clockwise rotation:(, ) Quadrant: _____ Coordinate after 270°clockwise rotation:(, ) Quadrant: _____ Coordinate after 360°clockwise rotation:(, ) Quadrant: _____ Rotation #2: Clockwise Rotation of Trapezoid: Original coordinate of given point: (, ) Quadrant: _____ Coordinate after 90°clockwise rotation:(, ) Quadrant: _____ Coordinate after 180°clockwise rotation:(, ) Quadrant: _____ Coordinate after 270°clockwise rotation:(, ) Quadrant: _____ Coordinate after 360°clockwise rotation:(, ) Quadrant: _____ Do you notice any patterns among the coordinates above? Rotation #3: Counter-Clockwise Rotation of Trapezoid: Original coordinate of given point: (, ) Quadrant: _____ Coordinate after 90°counter-clockwise rotation:(, ) Quadrant: _____ Coordinate after 180°counter-clockwise rotation:(, ) Quadrant: _____ Coordinate after 270°counter-clockwise rotation:(, ) Quadrant: _____ Coordinate after 360°counter-clockwise rotation:(, ) Quadrant: _____ Did the patterns/ observations you made about the clockwise rotations change when we performed the counter-clockwise rotation? Name:________________________________________________________________Date:_____/_____/__________ Rotation Applet

5
Using the observations and/or patterns we just discussed, what would be a rule that we could use to know what each new point will be without seeing the rotation on the screen? Rule: Now, use the above rule to record the new coordinates for the below rotation (without seeing it on the screen). Rotation #4: Counter-Clockwise Rotation of Trapezoid: Original coordinate of given point: (, ) Quadrant: _____ Coordinate after 90°counter-clockwise rotation:(, ) Quadrant: _____ Coordinate after 180°counter-clockwise rotation:(, ) Quadrant: _____ Coordinate after 270°counter-clockwise rotation:(, ) Quadrant: _____ Coordinate after 360°counter-clockwise rotation:(, ) Quadrant: _____

6
Original Coordinates:A (2, 1)B (2, 7)C (6, 1) 90ºQuadrant ________ A (, )B (, )C (, ) 180ºQuadrant ________ A (, )B (, )C (, ) 270ºQuadrant ________ A (, )B (, )C (, ) 360ºQuadrant ________ A (, )B (, )C (, ) Rotating a triangle (together in class)... A B C AIAI BIBI CICI AIAI BIBI CICI AIAI BIBI CICI II III IV I

7
END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”) represent the homework assigned for that day.

8
Math-7 NOTES DATE: ______/_______/_______ What: transformations (ROtations)... Why: To perform rotations of figures on the coordinate plane. What: transformations (ROtations)... Why: To perform rotations of figures on the coordinate plane. NAME: Stations of Rotation: 90º: 180º: 270º: 360º: CLOCKWISE: from “12 o’clock” (top of coordinate graph), figure will rotate to the ____________________. COUNTER-CLOCKWISE: from “12 o’clock” (top of coordinate graph), figure will rotate to the ____________________. Translation Review: Remember, a translation is a __________________. MEMORIZE: “RIGHT or LEFT changes _____!! UP or DOWN changes _____!!! This means that if a figure moves right or left, we ADD or __________________ from the original x coordinate. If a figure moves up or down, we ADD or SUBTRACT from the original ______ coordinate. Point A, (3, 5) is translated two to the left and four up. Where is A I ? A AIAI Rotation Applet What about rotations ??

9
Original Coordinates:A (2, 1)B (2, 5)C (6, 1) 90ºQuadrant ________A (, )B (, )C (, ) 180ºQuadrant ________A (, )B (, )C (, ) 270ºQuadrant ________A (, )B (, )C (, ) 360ºQuadrant ________A (, )B (, )C (, ) Directions: Plot the original points as indicated. Connect the points to make a right triangle. Then, rotate the ORIGINAL triangle counter-clockwise as indicated: Rotating a triangle (together in class)...

10
1.Where will Point A end up after a 90° clockwise rotation? _______ 2.Where will Point A end up after a 180° clockwise rotation? _______ 4.Where will Point A end up after a 270° clockwise rotation? _______ 3.Where will Point A end up after a 90° counter-clockwise rotation? ______ 6.Where will Point A end up after a 180° counter-clockwise rotation? _______ 5.Where will Point A end up after a 270° counter-clockwise rotation? _______ A A A A A A NAME: ________________________________________________________________________________DATE:_____/_____/__________

11
1)2) 3)4)

Similar presentations

OK

Name:________________________________________________________________________________Date:_____/_____/__________ Label each of the quadrilaterals with.

Name:________________________________________________________________________________Date:_____/_____/__________ Label each of the quadrilaterals with.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Best ppt on save girl child Ppt on management by objectives template Ppt on causes of second world war Download ppt on oxidation and reduction potential Free download ppt online shopping project Ppt on standing order template Human digestive system anatomy and physiology ppt on cells Maths ppt on triangles for class 9 Ppt on fibonacci numbers definition Ppt on power diode rectifier