Name:________________________________________________________________________________Date:_____/_____/__________ Circle ALL of the choices that represent the figure: SquareTrapezoidRhombus ParallelogramRectangleKite Fill-in-the-Blanks: 3.A translation is a ________________________. 4. Right or left changes _______________! Up or down changes _____________ ! 5.Given a point at (3, -2) on the coordinate plane, where would its new coordinates be after a (2, -3) translation ? (Hint: Remember, right or left changes x. Up or down changes y...)________________________________________________________________________ Describe the following translations (how does the figure move?): 6.__________ 7.__________ Quiz Day! SquareTrapezoidRhombus ParallelogramRectangleKite Circle the BEST choice (just ONE) for the following figure: True or False: 3._____ A trapezoid has exactly ONE set of parallel sides. 4._____ A square does not necessarily have 4 right angles. 5._____ A rectangle is never a parallelogram. 6._____ Every rhombus is also a parallelogram. 7._____ Some rectangles can be trapezoids. Be careful... Look for the “prime” marks...

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..

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)

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 full turn

Let’s explore some rotations... Rotation Applet Teacher will distribute a handout that goes with this activity...

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 Counter-clockwise...

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

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 What about rotations ??

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)...

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: Counter-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: Counter-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: 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

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: _____

Name:___________________________________ Date:_____/_____/__________

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:_____/_____/__________

1)2) 3)4) Be careful... Look for the “prime” marks...