transformations (dilations). . .

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Presentation transcript:

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

Remember, a dilation is any ____________________________. What is it?? Remember, a dilation is any ____________________________. The scale factor controls how large or ________________ the figure will become. We dilate according to the ______________________ . More specifically, we ________________ EVERY coordinate by the scale factor. re-sizing small scale factor multiply

Original Coordinates: Dilate by Scale Factor of 2 To be completed together in class: Directions: Plot the original points as indicated. Connect the points to make a right triangle. Then, perform the given dilation. Original Coordinates: A (-2, 4) B (2, 4) C (2, 1) Dilate by Scale Factor of 2 A ( , ) B C -4 8 4 8 4 2

Original Coordinates: Dilate by Scale Factor of ½ Directions: Plot the original points as indicated. Connect the points to make a right triangle. Then, perform the given dilation. Original Coordinates: A (-4, 6) B (2, 6) C (2, 3) Dilate by Scale Factor of ½ A ( , ) B C -2 3 1 3 1 1.5 Multiplying by ½ is the SAME as dividing by 2!!

Soooo, when a figure is dilated by a scale factor GREATER than one, the image gets ________________________. However, when a figure is dilated by a scale factor LESS than one (fraction), the image gets __________________________________ . BIGGER smaller

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.

Original Coordinates: Dilate by Scale Factor of 2 Math-7 NOTES DATE: ______/_______/_______ What: transformations (dilations). . . Why: To perform dilations of figures on the coordinate plane. NAME: Remember, a dilation is any ____________________________. The scale factor controls how large or ________________ the figure will become. We dilate according to the ______________________ . More specifically, we _____________________ EVERY coordinate by the scale factor. To be completed together in class: Directions: Plot the original points as indicated. Connect the points to make a right triangle. Then, perform the given dilation. Original Coordinates: A (-2, 4) B (2, 4) C (2, 1) Dilate by Scale Factor of 2 A ( , ) B ( , ) C ( , )

Original Coordinates: A (-4, 6) B (2, 6) C (2, 3) Directions: Plot the original points as indicated. Connect the points to make a right triangle. Then, perform the given dilation. Original Coordinates: A (-4, 6) B (2, 6) C (2, 3) Dilate by Scale Factor of ½ A ( , ) B ( , ) C ( , ) Multiplying by ½ is the SAME as dividing by 2!! Soooo, when a figure is dilated by a scale factor GREATER than one, the image gets _________________________________. However, when a figure is dilated by a scale factor LESS than one (fraction), the image gets __________________________________ .

Dilations classwork Date:_____/_____/__________ Name:___________________________________ Dilations classwork

First, write down the ORIGINAL ordered pairs. Then, multiply. Multiplying by ¼ is the same as dividing by 4!

Math-7 “Dilations” Practice/ Homework Date:_____/_____/__________ Name:___________________________________ 1. 2. 3. 4. 5. 6.

TRANSFORMATIONS QUIZ REVIEW 1. 2. Point A, located at (2, 5) is translated four units to the right and three units down. What is the location of A prime? A (6, 8) B (6, 2) C (-2, 8) D (-2, 2) 4. 5. 6.

7. 8. Point A, located at (-2, -4), is rotated 270 degrees counter-clockwise. Where is A prime? A (-2, 4) B (4, -2) C (2, 4) D (-4, 2) 9. Point A, located at (-1, -8), is rotated 90 degrees clockwise. Where is A prime? A (8, 1) B (-1, 8) C (-8, 1) D (8, -1) 10. Point A, located at (-3, 5) is reflected over the x axis. Where is A prime? A (3, 5) B (-3, -5) C (3, -5) D (-3, 5)